# Accepted Poster

Last Update : 2023/03/27 20:47

## [10939] Exploring Molecular Machine Learning Models for Activity-Cliff Prediction

• Abstract : Pairs of almost identical molecules that exhibit a large activity difference against a given biological target are called activity cliffs and form an important source of pharmacological information. We computationally investigate the capabilities of current machine-learning-based activity-prediction models to detect activity cliffs. The models are weak at identifying activity cliffs unless the activity of one molecule in the pair is known. Increasing activity-cliff sensitivity might form a research path towards further improving computational activity-prediction.
• Author(s) : Markus Dablander, Thierry Hanser, Renaud Lambiotte, Garrett M. Morris

## [10940] Comparative analysis of carbon cycle models via kinetic representations

• Abstract : The pre-industrial state of the global carbon cycle is an important reference point for studies on climate change. In this presentation, we refer to the power law kinetic representations of the pre-industrial models of Schmitz (2002) and Anderies et al. (2013). Using the mathematical theories of chemical reaction networks with power-law kinetics, this work assesses the similarities and differences in their structural and dynamic properties in relation to model construction assumptions.
• Author(s) : Noel T. Fortun, Eduardo R. Mendoza

## [10941] Existence Results for an eigenvalue Riesz-Caputo Fractional Boundary Value Problem

• Abstract : In this work, we study the solvability of an eigenvalue fractional boundary value problem depending on the Riesz-Caputo derivative. By using Green’s function properties, we provide the existence of solution via Schaefer's fixed point theorem. We end this work by presenting a Lyapunov-type inequality and a bound for the possible eigenvalues for the corresponding problem.
• Author(s) : Rabah Khaldi, Assia Guezane-Lakoud

## [10942] A model-averaged approach of concordance correlation coefficients for longitudinal overdispersed Poisson data

• Abstract : Variance components (VC) is an approach to estimate concordance correlation coefficient (CCC) through adjusting for covariates. To avoid fitting data with a misspecified model, corrected conditional Akaike information criterion (CCAIC) and corrected conditional Bayesian information criterion (CCBIC) measures are adopted for model selection in Poisson mixed-effects models. This study focuses on proposing the model-averaged approach by combining the CCC estimators of VC with model selection via CCAIC and CCBIC for longitudinal overdispersed Poisson data.
• Author(s) : Miao-Yu, Tsai

## [10945] Preliminary Numerical Results in the Optimization of Bioenergy-intended Raceway Ponds

• Abstract : In this work we introduce a novel methodology to optimize the location and speed of the paddlewheel in a raceway pond. We formulate the problem as an optimal control problem where the state system couples the nonlinear equations for hydrodynamics and algae/nitrogen/phosphorus concentrations, and the objective function to be maximized represents global algae concentration. We propose a numerical algorithm for its resolution, and show some preliminary computational results related to the numerical modelling.
• Author(s) : Aurea Martinez, Lino J. Alvarez-Vazquez, Carmen Rodriguez, Miguel E. Vazquez-Mendez

## [10949] RICE HUSK IN THE HYDROCARBONS INDUSTRY

• Abstract : Hydrophobic substances have multiple applications in industrial uses. We are interested in describing the behavior of rice husks with hydrocarbons. To do it, we
use the equations of isotherms de Freundlich and Langmuir to analize the rice husk
adsorption for hydrocarbons.
• Author(s) : David Matheo Vargas Huertas, Javier Esteban Martinez Caldas, Juan Jose Camargo Carbonell, Juan Steban Garzón Trujillo, María Isabel Romero Rodríguez, Jorge Eliécer Carillo Velásquez

## [10950] Parameter identification analysis for incompressible viscous flow with interface

• Abstract : In this study, we present the parameter identification analysis for incompressible viscous flow with interface. A dam break model is introduced as the numerical model, the identification analysis is performed based on the adjoint variable method. The incompressible viscous flow analysis with interface is carried out based on the characteristic finite element method using the semi-Lagrange method, and the volume of fluid method is introduced to analyze the flow behavior of two fluids.
• Author(s) : Masaya Kobayashi, Takahiko Kurahashi, Toshiaki Kenchi, Toshihiko Eto

## [10951] Multi stage deep reinforcement learning for Automatic three-dimensional cephalometric landmark detection

• Abstract : Landmark detection of 3D CT data for cephalometry in orthognathic surgery is time-consuming and error-prone. We here propose automatic 3D cephalometric annotation system based on multi-stage deep reinforcement learning (DRL) and volume-rendered imaging without expert intervention. This system considers geometrical characteristics of landmarks and simulates the sequential decision process underlying human professional landmarking patterns. We also provide the results of applying the proposed algorithm to actual clinical patients with deformities.
• Author(s) : Sung Ho Kang, Kiwan Jeon, Sang-Hoon Kang, Sang-Hwy Lee

## [10954] A lower-order weighted least-squares finite element method for poroelasticity problems in rheology

• Abstract : The work concerns the behavior of the approximate solution of Biot’s consolidation problem by the least-squares finite element method (LSFEM). In the case of fluid flow in deformable porous media, these consist of fluid pressure and flux as well as displacement field and stress tensor. We consider a stabilized weight in the LSFEM with lower-order finite element space and illustrate the method’s performance. Further, we extend the LSFEM to physical problems.
• Author(s) : Hsueh-Chen Lee, Hyesuk Lee

## [10956] Poincaré Section for Hide Coupled Dynamo Model,

• Abstract : Abstract: Poincaré surface of the section is an important tool in the dynamical system which allow us to imagine and understand the numerical solution behavior of the system. Hide's couple dynamo model is rich and worth studying. In this paper, we apply the Poincaré surface of section in three cases periodic orbit motion, regular motion, and chaos motion
• Author(s) : Ali Allahem

## [10957] Identification analysis of defect topologies by self-attention-based machine learning (Effect of number of training data on identification accuracy)

• Abstract : In this study, we present the identification analysis of defect topologies in the concrete structure by the self-attention-based machine learning. In this analysis, the scalogram is generated by the hammering response data based on the continuous wavelet transform, and is used as the learning data. The computation of the self-attention and the transition is repeated in the self-attention network, and weighting parameters which are used to estimate the defect topologies can be obtained
• Author(s) : Kazuki Yamamoto, Takahiko Kurahashi, Yuki Murakami, Fujio Ikeda and Ikuo Ihara

## [10959] Identification analysis of defect topologies using level-set-based topology optimization with weighted sensitivity

• Abstract : In this study, we present the defect topology identification analysis based on the level-set-based topology optimization. In this analysis, the hammering response data is employed to identify the defect topologies. The equation of motion in three dimensions is employed to simulate the oscillation behavior in the structure. The weighted sensitivity method is applied to identify the defect topologies, and some numerical results are shown in this study.
• Author(s) : Towa Koike, Takahiko Kurahashi,Masayuki Kishida, Yuki Murakami and Fujio Ikeda

## [10961] Mathematical Modeling for a Bioglass Bioactivity Degradation

• Abstract : In this work we develop a mathematical model, to analyze the dissolution and bioactivity for a bio-glass. The development of porous bioactive glasses is part of a multidisciplinary task. For example in pharmacology, the developments of bioactive systems are suitable for many applications such as prolonged-release of drugs. We first derive a model based on a reaction diffusion system; then we propose a numerical framework to show useful results in real applications.
• Author(s) : Aymen Hadji, Fatma Zohra Nouri

## [10966] Simulation of Synchronization with Neuronal Population Firing Model

• Abstract : Understanding the human brain, novel simulation of synchronization with neuronal population firing model is developed. Here, the simulation is consisted with two scale model. The one is micro model that synchronization with neuronal spiking model in a single neuronal population. The other is macro model that neuronal population firing model that is taking account micro model. With the simulation we can find several synchronization dynamics of brain. This work contributes to whole brain simulation soon.
• Author(s) : Sho IKEDA, Toshiaki ITOH

## [10967] Developing an Antimatter Gravity Interferometer

• Abstract : The assumption that the effects of gravity on antimatter and matter are equivalent has implications which elude potential explanations for physics phenomena. However, no direct observation of this effect from gravity has been made on a particle in freefall. A suitable method has been decided to test this relationship, thus constructing a simulation of this setup is vital. The development of these simulations has brought to question the viability in applying certain standard modeling methods.
• Author(s) : Jacob Thomas, Daniel Kaplan, Derrick Mancini

## [10969] Epidemiological Modeling of Health Information Dynamics on Twitter

• Abstract : Epidemiological models are used to understand how information spreads on Twitter, dividing individuals (or users) into groups and simulating their interaction. In TwitHComm, we found that the tweet data obtained from @DOHgovph does not achieve an epidemic state whereas @WHO does. In TwitHCommS, despite increasing the number of positive sentiment tweets, users on Twitter are influenced by negative sentiments caused by the greater rate of negative sentiments among the users.
• Author(s) : Feeroz R. Yusoph, Angelyn R. Lao

## [10970] On p(t)-Laplacian fractional differential equations

• Abstract : We study the existence of solutions for a class of differential equations involving mixed type fractional Caputo derivatives and the p(t)-Laplacian operator which is a non-classical growth operator and arise from various field of sciences such image restoration, elasticity theory, electrorheological fluid,….
By means of some fixed point theorems, we prove the existence of solutions for the considered problem.
• Author(s) : Assia Guezane Lakoud, Rabah Khaldi

## [10971] Systems biology approach to understanding azole resistance mechanisms in Candida albicans

• Abstract : The significant increase in fluconazole-resistant Candida albicans calls for a need to search for other possible drug targets. In this study, we constructed a mathematical model, based on the data collected from the literature, of the ergosterol biosynthesis pathway in C. albicans. Interestingly, we found an increase in the susceptibility of C. albicans to fluconazole with increasing concentrations of the sterol-methyltransferase enzyme, making it a potential drug target as an adjunct to fluconazole.
• Author(s) : Paul K. Yu, Llewelyn S. Moron-Espiritu, Angelyn R. Lao

## [10972] Mr.

• Abstract : During development, axons extend from neurons and navigate through the extracellular environment in search of predetermined targets. Extracellular signals inform the growth trajectory of axons. One such signal is spatial variation in substrate stiffness.

We formulate a multi-scale mechanical model of the axon which incorporates the axon-substrate interaction. We simulate growing axons in environments of spatially varying stiffness and show that such variations can play a significant role in the formation of axonal growth patterns.

• Author(s) : Christoforos Kassianides, Hadrien Oliveri, Alain Goriely

## [10974] Structure-Preserving Neural Networks for Hamiltonian Systems

• Abstract : When solving Hamiltonian systems using numerical integrators, preserving the symplectic structure is crucial. We analyze whether the same is true if neural networks (NN) are used. In order to include the symplectic structure in the NN's topology we formulate a generalized framework for two well-known NN topologies and discover a novel topology outperforming all others. We find that symplectic NNs generalize better and give more accurate long-term predictions than physics-unaware NNs.
• Author(s) : Philipp Horn, Barry Koren

## [10980] Similarity and Finite Difference Solution on Biomagnetic Flow and Heat Transfer of Blood-Fe3O4 through a Thin Needle

• Abstract : A magnetic fluid is composed of a base fluid and magnetic particles, where magnetic particles are carefully distraught in the base fluid. Here, we will assume that blood is the base fluid that exhibits electrical conductivity and polarization properties and Fe3O4 as magnetic particles. The addition of Fe3O4 into the blood can remarkably ameliorate the properties of the blood’s thermal conductivity. Such physical aspects can play a vital role in biomedical and bioengineering. The presented
• Author(s) : Abdulaziz Alsenafi, Mohammed Ferdows

## [10981] The Foldy–Lax approximation is valid for nearly resonating frequencies

• Abstract : Waves propagating in the presence of a cluster of inhomogeneities undergo multiple interactions. When these inhomogeneities have sub-wavelength sizes, the dominating field due to these multiple interactions is the Foldy-Lax-Field. The question is whether we can reconstruct this Foldy-Lax-Field from the scattered field measured far from the inhomogeneities cluster. We will show that exciting the cluster by incident frequencies which are close to the real parts of these resonances will reconstruct the Foldy-Lax-Field.
• Author(s) : Abdulaziz Alsenaﬁ, Ahcene Ghandriche, Mourad Sini

## [10982] Mathematical and Numerical Study of a Stem Cell Problem

• Abstract : The multiphase flow is used to refer to any fluid flow consisting of more than one phase or component. In fluid mechanics/dynamics, it is a simultaneous flow of materials with different states/phases. This work aims the need to model and predict those flows behaviour and their related manifest phenomena. More precisely, here we present a fundamental understanding of a stem cell problem in orthopaedic tissues, for which we illustrate a mathematical model and numerical results.
• Author(s) : Ibtissem Hadji, Fatma-Z Nouri

## [10983] Compartment Models for Ideas on Social Media Networks

• Abstract : The concept of virality and the structure of social media networks lend themselves to the use of SIR-like compartment models to study the spread of ideas between users on these platforms. This talk introduces the USBA – Unexposed, Sending, Bored, and Acclimated – family of discrete compartment models as a means of simulating how ideas reach and affect users and change the network structure, leading to the formation of echo chambers and polarization in sentiment.
• Author(s) : Adam Furman

## [10988] THE IMPACT OF HABITAT LOSS ON A THREE-SPECIES TROPHIC SYSTEM

• Abstract : Changes in ecosystems progress at a rapid pace mainly due to the climate crisis and human-induced perturbations. Researchers have used mathematical models to understand how species respond to these changes in habitat in order to ultimately forecast species extinctions and develop efficient conservation strategies. Our work highlights the fragility of predators hunting cooperatively under the loss of habitat.
• Author(s) : Jorge Duarte, Cristina Januario, Nuno Martins

## [10999] Geometric modeling by constraints: some resolution methods

• Abstract : Various modeling techniques are used to analyze the geometric properties of objects. On the financial level, the balance sheet model being a management tool that translates the business plan into financial data. This financial modeling can serve as a budgetary tool and financial planning in the medium and long term as a facilitating tool. The fact that these methods use a purely geometric reasoning, the user can have the details of the process of resolution.
• Author(s) : KARIFA TRAORE

## [11014] Quartic Polynomial Sub-problem Solutions in Tensor Methods for Nonconvex Optimization

• Abstract : There has been growing interest in high-order tensor methods for nonconvex optimization in machine learning as these methods provide better/optimal worst-case evaluation complexity and stability to parameter tuning. In this paper, we propose a second-order method (SQO) for high-order optimization. SQO approximates the special-structure quartic polynomial sub-problem from above and below by using second-order models that can be minimized efficiently and globally.
• Author(s) : Wenqi Zhu, Coralia Cartis

## [11023] A novel conservative Allen-Cahn system with structure-preserving property

• Abstract : A novel conservative Allen-Cahn (CAC) equation is presented in this poster. In existence, CAC equations have motion by mean curvature. Using the curvature-dependent Lagrange multiplier, proposed CAC equation has structure-preserving property. The structure-preserving property of the proposed CAC equation is well demonstrated through various numerical computational experiments.
• Author(s) : Soobin Kwak, Junseok Kim

## [11036] Modeling and simulation of mini-grids under uncertainty

• Abstract : Mini-grids generate and distribute energy locally and offer a reliable solution to ensure access to energy in countries where electrification is slow. Green energy generation, demand and weather naturally introduce uncertainties whereas the installation of a battery energy storage system asks for consideration of battery degradation. As thermal issues can significantly affect battery lifetime, an optimal control problem for the daily operation including thermal battery management under uncertainties is set up and solved numerically.
• Author(s) : René Henrion, Dietmar Hömberg, Nina Kliche

## [11107] Money transfer between the rich and poor

• Abstract : A money transfer involves a buyer and a seller. Consider a conservative money transfer system as follows. When a pair of socially connected agents are selected, the richer one is the buyer and the poorer one is the seller. The buyer wants to retain its buyer status compared to the seller after the transaction. We study circumstances under which equal wealth can be achieved.
• Author(s) : Hsin-Lun Li

## [11108] Infinite-server Systems with Hawkes Processes

• Abstract : The study of the number of customers in infinite-server systems driven by Hawkes processes is considered. In these systems, the arrival process is assumed to be represented by a Hawkes process and the service process by a state-dependent Hawkes process. Under some suitable conditions, the Markov property of the above system is derived. The joint time-dependent distribution of the number of customers, the arrival intensity and the server intensity is obtained.
• Author(s) : Dharmaraja Selvamuthu, Paola Tardelli

## [11118] An infinite class of shocks for compressible Euler

• Abstract : We consider the two dimensional compressible Euler equations with azimuthal symmetry and construct an infinite class of shocks by establishing shock formation for a new Hölder family of so-called pre-shocks for all nonnegative integers. Moreover, a precise description of the dominant Riemann variable in the Hölder space is given in the form of a fractional series expansion.
• Author(s) : Calum Rickard, Sameer Iyer, Steve Shkoller, Vlad Vicol

## [11119] HEAT TRANSFER ENHANCEMENT IN SODIUM ALGINATE BASED MAGNETIC AND NON-MAGNETIC NANOPARTICLES MIXTURE HYBRID NANOFLUID

• Abstract : Sodium alginate (SA) based hybrid nanofluids are novel new generation of fluids for heat transfer. The thermo-physical properties of these fluids are very classic in comparison to common fluids. This study aims to examine mathematical the heat transfer enhancement in viscoplastic non-Newtonian based Cu-Fe3O4 hybrid nanofluid, flowing over a stretching/shrinking sheet. SA is being used as a non-Newtonian, viscoplastic base fluid with the addition of Cu and Fe3O4 as non-magnetic and magnetic nanoparticles.
• Author(s) : Abid Hussanan

## [11124] NUMERICAL METHOD APPROACH ON MAGNETOHYDRODYNAMIC RADIATIVE FERROFLUID FLOWS OVER A SOLID SPHERE SURFACE

• Abstract : The unique properties of ferrofluid when exposed to the magnetic field led to the ferrofluid formulation in broad applications, especially as thermal transfer. To picture the ferrofluid flow configurations and heat transfer mechanism at a surface, it is crucial to figure out the phenomenology of boundary layer and convective heat transfer. This study investigates a numerical solution on ferrofluid's convective boundary layer flow over a sphere surface with influences of magnetic field and thermal radiation.
• Author(s) : Siti Hanani MAT YASIN, Muhammad Khairul Anuar MOHAMED, Zulkhibri ISMAIL and Mohd Zuki SALLEH

## [11125] Weakly-morphic modules

• Abstract : Let $R$ be a commutative ring, $M$ an $R$-module and $\varphi_a$ be the endomorphism of $M$ given by right multiplication by $a\in R$. We say that $M$ is {\it weakly-morphic} if $M/\varphi_a(M)\cong \ker(\varphi_a)$ as $R$-modules for every $a$. We study these modules and use them to give characterizations of the rings $R/\text{Ann}_R(M)$ and modules over integral domains.
• Author(s) : Philly Ivan Kimuli, David Ssevviiri

## [11159] Non homogeneity on the Stresses and Temperature Distribution in a Thick-walled Circular Cylinder

• Abstract : Mathematical modelling is based on stress–strain relation, non-linear differential equation and equilibrium equation. The manuscript presents the effects of heat and pressure for the nonhomogeneous thick walled circular cylinder, where the stress distribution, temperature and pressure behavior are investigated. IN the model, internal wall of the cylinder has assumed the temperature and pressure. By solving non linear differential equation under boundary conditions radial and hoop stresses are calculated. It is analyzed from the obtained results.
• Author(s) : DR Jatinder Kaur

## [11195] Correcting Quantum Errors with Entanglement

• Abstract : Quantum error correction (QEC) is the key factor of quantum information technology, quantum computer and quantum communication. In less than 25 years, the subject that previously had many quantum theorists doubting its practicality has become a relatively extensive and well-developed theoretical field of study. The goal of this presentation is to construct some new and optimal entanglement-assisted QEC codes, asymmetric QEC codes.
• Author(s) : Bac Trong Nguyen

## [11198] Dynamical Modelling of the Effects of Medium-Chain Triglycerides on Cerebral Ketone Body Metabolism

• Abstract : Alzheimer’s disease (AD) patients experience a drastic cerebral glucose metabolic rate decline, leading to a brain energy gap. The constructed mathematical model on cerebral glucose and KB metabolism illustrates the effects of glucose hypometabolism and MCT treatment on healthy aging adults and AD patients. The simulations show that the ketone body levels rise during prolonged fasting and that acetyl-CoA levels elevates through MCT-treatment.
• Author(s) : Abigail R. Espina, Angelyn R. Lao, Eduardo R. Mendoza

## [11199] Bayesian Parameter Estimation for Ambient Solar Wind Models

• Abstract : The solar wind is an essential driver of space weather geomagnetic storms. A significant challenge in using first-principle solar wind models is estimating input parameters that can not be directly measured. Thus, we need to quantify the uncertainty of such input parameters on the solar wind. We perform global sensitivity analysis to understand which parameters influence the model output the most and learn the posterior distribution of the influential input parameters via Bayesian inference.
• Author(s) : Opal Issan, Boris Kramer, Enrico Camporeale

## [11204] Analysis of the fractal dimension of multidimensional data: The case of local field potentials

• Abstract : Multisite recordings of local field potentials (LFPs) provide insights into the information processing in the brain. The fractal dimension (FD) of LFPs can measure the complexity of information flows between neuronal ensembles. However, the local stationarity and noise limit the assessment of FD from biological data. We provide a method for accurately estimating the FD from raw LFPs and illustrate it on synthetic data and electrophysiological recording in the rat hippocampus.
• Author(s) : Julia Makarova, Ricardo Muñoz, Oscar Herreras, Valeri A. Makarov

## [11207] A nonlinear mathematical model on the Covid-19 transmission pattern among diabetic and non-diabetic population

• Abstract : We study a three compartment mathematical model describing the dynamics between Covid-19 infected, diabetic and non-diabetic populations. Basic properties such as non negativity and boundedness of solutions, existence and stability of equilibrium points are studied, along with derivation of basic reproduction number. We have discussed a novel technique to estimate key parameters, and using them we have performed some numerical experiments which validate our theoretical results.
• Author(s) : Monalisa Anand, P. Danumjaya, P. Raja Sekhara Rao

## [11208] Modelling and Predicting Online Vaccination Views Using Bow-tie Structure

• Abstract : We study the dynamics of vaccination views on Facebook building on Johnson et al. 2020 (Nature), which predicts anti-vaxxers to dominate unless corrective policies are introduced. We use bow-tie structures to investigate group dynamics, showing intra- and inter-group behavioural differences. Our data-based findings suggest an initial growth of the anti-vaxxers, countered by a long-term progression of the pro-vaxxers, even without external intervention. This provides a more optimistic picture of the online vaccine ecology.
• Author(s) : Yueting Han, Paolo Turrini, Marya Bazzi

## [11213] Clusterless Inference of Compression of Spatial Representation in Hippocampal Replay

• Abstract : We present a hierarchical framework combining latent-distance-dependent hidden Markov models and maximum likelihood estimation methods to infer the compression of spatial memory representation between locomotion and sharp wave-ripple states from unsorted, population spiking activity in rat hippocampus. This framework can be used for linking representations between one behavioral state where the neural data is constrained by finite sampling and others where the neural data is sufficient for accurate unsupervised estimation methods.
• Author(s) : Xinyi Deng, Joshua Glaser, Loren Frank, Scott Linderman

## [11215] A two-layer Energy Balance Climate Model

• Abstract : A simple approach to the study of Climate comes from the use of Energy Balance Models. Such models describe the evolution of the averaged temperature on the Earth's surface. In this poster I will present a new two-layer energy balance model, that allows for vertical exchanges between a surface layer and the atmosphere. I will analyse stability and long time behaviour of solutions and the sensitivity to parameters which are related to the greenhouse effect.
• Author(s) : Piermarco Cannarsa, Valerio Lucarini, Patrick Martinez, Cristina Urbani, Judith Vancostenoble

## [11219] The Spectra of the Randic matrix of graphs

• Abstract : Let G be a simple finite graph with vertex set ${v_1,v_2,…v_n}$. Denote the degree of vertex $v_i$ by $d_i, 1 \leq i \leq n$. The Randic matrix(which has association with the Randic index of graphs(in chemical graph theory)) of $G$, denoted by $R(G) = [r_{i,j}]$, is the n*n matrix whose $(i,j)$-entry $r_{i,j}$ is $r_{i,j}=1/\sqrt{d_id_j}$ if $v_i$ and $v_j$ are adjacent in $G$ and 0 otherwise.We present results on spectra of the Randic Matrix of graphs.
• Author(s) : Devsi Bantva

## [11233] Random batch Quasi-Ewald method for the simulations of charged particles under dielectric confinement

• Abstract : We derive an analytic, fast convergent lattice summation formula for the interaction energy/force of dielectric confined charged particles based on a novel Quasi-Ewald splitting strategy, then further achieving O(N) scaling for N-particle simulations via random batch importance sampling in the reciprocal space. The singularity in the analytical expression is carefully renormalized, thus extending our method to the case of metamaterials confinement, characterized by negative permittivity values.
• Author(s) : Xuanzhao Gao, Zecheng Gan

## [11240] On Existence of Approximate Solution for Nonlinear Volterra Random Integral Equation

• Abstract : Here, we prove the existence of approximate results for a nonlinear Volterra-type random integral equation in separable Banach space under mixed generalized compactness, contraction and caratheodory conditions, and also the existence of the locally attractive solutions is proved under some certain monotonicity conditions
• Author(s) : SHETE SIDDHARTH GANESH

## [11244] Isogeometric de Rham complex discretization in solid toroidal domains

• Abstract : Toroidal domains are prominent in the context of controlled thermonuclear reactions, especially for magnetically confined fusion reactors (tokamaks, stellarators).
Accurate and stable plasma simulations in such shapes are achieved if important conservation laws are preserved at the discrete level.
We reach this goal with an IGA discretization sustaining the cohomological structure of the de Rham complex. The singularity of the parametrization will demand the construction of polar spline spaces to set up the discrete complex.
• Author(s) : Francesco Patrizi

## [11249] Existence and stability of interfacial capillary-gravity solitary waves with constant vorticity

• Abstract : In this poster, we consider capillary-gravity waves propagating on the interface separating two fluids of finite depth and constant density. The flow in each layer is assumed to be incompressible and of constant vorticity. We prove the existence of small-amplitude solitary wave solutions to this system in the strong surface tension regime via a spatial dynamics approach. We then use a variant of the classical Grillakis–Shatah–Strauss (GSS) method to study the orbital stability/instability of these
• Author(s) : Daniel Sinambela

## [11261] Shortest path problem for recruiting personnel

• Abstract : Present the problem of an outsourcing in the state of Querétaro with personnel recruitment problems where the objective is to optimize resources: Recruit more personnel for automotive or plastic production plants with the fewest number of routes and little fuel.
Present the solution using the dijkstra algorithm.
• Author(s) : Giovana Ortigoza Alvarez

## [11265] A backward semi-Lagrangian method (BSLM) to solve nonlinear coupled KdV equations(NCKdV)

• Abstract : This work introduces a BSLM to solve NCKdV. The equations are represented as linear dispersive equations(LDE) along the trajectories of particles described by the nonlinear Cauchy problems(NCP) in the Lagrangian viewpoint. The proposed method employs the FDM and BDF2 to solve LDE. To solve NCP, a deferred correction method is applied. From numerical experiments, the errors obtained by the proposed method are more accurate, even with a larger time step than the compared Eulerian methods.
• Author(s) : Soi Ji, Soyoon Bak

## [11266] An efficient algorithm for solving 1D coupled Burgers’ equations in a semi-Lagrangian framework

• Abstract : In this work, we introduce an efficient algorithm for solving 1D coupled viscous Burgers' equations. The main accomplishment of this work is to develop a stable high-order algorithm for the system of reaction–diffusion equations. In the proposed algorithm, an interpolation strategy for finding the remaining upstream points is designed to dramatically reduce the high computational cost of solving the nonlinear Cauchy problem without damage to the order of accuracy.
• Author(s) : Jiseong Hur, Soyoon Bak

## [11287] A population dynamics model for the information spread under the effect of social response

• Abstract : We construct and analyze a mathematically reasonable and simplest discrete time one dimensional population dynamics model based on Mark Granovetter's idea for the spread of a matter (rumor, innovation, etc.) in a population. Individual threshold values with respect to the decision making on the acceptance of a spreading matter are distributed throughout the population. We give the mathematical results on how the equilibrium acceptor frequency depends on the nature of threshold distribution in the population.
• Author(s) : Hiromi Seno, Reina Uchioke, Emmanuel J. Dansu

## [11290] Standing wave solution for the generalized Jackiw-Pi model

• Abstract : We study the existence and nonexistence of the standing wave solution for the generalized Jackiw-Pi model by using the variational method. Depending on interaction strength λ, we have three different situations. The existence and nonexistence of the standing wave solution correspond to 1 < λ and 0 < λ < 1, respectively. We have the explicit solution of the self-dual equation for the borderline λ = 1.
• Author(s) : Hyungjin Huh, Yuanfeng Jin, Youwei Ma, Guanghui Jin

## [11310] Numerical solution of non-linear integral equation with weakly singular kernel

• Abstract : In this presentation, we discuss the numerical solution of weakly singular nonlinear integral equations using Galerkin and multi – Galerkin methods. Convergence results are also discussed by considering piecewise polynomials as basis function. In order to enhance the convergence rates of the respective methods( Galerkin and multi – Galerkin ), iterated methods are applied and superconvergence is obtained. Finally, numerical examples are provided to validate the theoretical results.
• Author(s) : Ritu Nigam

## [11323] Opportunistically Stochastic Shortest Path Problems: From PDEs to AV-Routing

• Abstract : We consider a class of Opportunistically Stochastic Shortest Path Problems (OSSPs) on graphs in which the decision maker chooses either a stochastic or deterministic transition to successor nodes. We provide a formal definition of OSSPs and develop conditions under which label-setting methods (e.g., Dijkstra’s or Dial’s Method) are applicable. We apply our results to examples of OSSPs arising in discretizations of anisotropic Hamilton-Jacobi PDEs and autonomous vehicle (AV) routing on lane-level road networks.
• Author(s) : Mallory Gaspard, Alexander Vladimirsky

## [11324] Lifting the Stokes paradox by accelerating a circular cylinder and extension to the sphere

• Abstract : It is known that the Stokes paradox exhibits in various flow, most notably, in flow past a 2D circular cylinder. In this study, we provide an example through detailed analytical solution that by accelerating rather than decelerating the cylinder can lift the Stokes paradox. The analysis is also extended to the case of the Stokes flow past an accelerating sphere though in this case there is no Stokes paradox in flow past a stationary sphere.
• Author(s) : Jen-Jen Lin, Chien-Cheng Chang

## [11341] Quantifying Cytoskeletal Dynamics and Remodeling from Live-imaging Microscopy Data

• Abstract : Correct cytoskeletal regulation is crucial for the control of cell behaviour, such as cell division and migration. Live-imaging microscopy can be used to study the dynamic changes of actin and myosin density in deforming cells. These imaging data can be quantified using Optical Flow algorithms, which locally assign velocities of cytoskeletal movement to the data. The method will be a starting point for identifying differences in cytoskeletal movement and remodeling under experimental perturbations.
• Author(s) : Kairui Li

## [11352] Persistent homological figure detection technology and the latest status of its applications

• Abstract : We first introduce persistent homological figure detection technology (developed by the presenter in 2022-23 (in press)). We will see that this technology detects figures using the death points of persistent barcodes.
Then we explain how to apply this technology to several image analysis problems. We also discuss our current trial to use this technology for non-image data analysis and our future vision for a broader range of applications.
• Author(s) : Haruhisa Oda

## [11360] Nested Bayesian Optimization for Computer Experiments

• Abstract : Conventional Bayesian optimization did not incorporate the nested structures in computer experiments. This paper proposes a novel nested Bayesian optimization method for complex computer experiments with multi-step or hierarchical characteristics. The case study shows that the nested Bayesian optimization can efficiently minimize the residual stress during composite structures assembly and avoid convergence to local optima.
• Author(s) : Yan Wang, Meng Wang, Areej AlBahar, Xiaowei Yue

## [11362] Boundary layer preconditioners for elliptic problems in two dimensions

• Abstract : We provide preconditioners for the linear system of equations that results from the discretization of second-order elliptic boundary layer problems using the least squares spectral element method. These preconditioners are constructed using the separation of variable techniques and being diagonalizable, they are simple to invert. Numerical results confirm the efficiency and robustness of the preconditioners.
• Author(s) : Aliya N. Kazmi, Akhlaq Husain, Ziya Uddin

## [11363] Spectral element boundary layer preconditioners for 2D elliptic problems on non-smooth domains

• Abstract : A number of elliptic boundary layer problems in applications (e.g. waterflow
on skin of a submarine, airflow on surface of an aircraft wing, problems
in semiconductor devices etc.) contain small perturbation parameters.To find
numerical solution to these problems one needs to solve linear systems arising
from discretization of the PDE (using a Finite Element or Spectral Element
Method) that are usually ill-conditioned. Hence, the construction of appropriate
and effective preconditioners is required for precise solutions.
• Author(s) : Sonia, Akhlaq Husain, Subhashree Mohapatra

## [11391] Industrial Problem Solving Workshop Mexico. 16th years improving math collaboration between companies and academia.

• Abstract : In this poster I will present a Mexican initiative that started 16 years ago in the Center of Research in Mathematics (CIMAT) to improve the collaboration between companies and academia in applied mathematics, statistics and computer science.
Also, successful companies stories and new business models developed in this years, and the interaction with similar initiatives in other countries including the Artificial Intelligence Alliance in Mexico
• Author(s) : Sanchez-Bravo Ivete

## [11396] Modelling transmission dynamics of Lassa fever transmission with two environmental pathway transmissions

• Abstract : Lassa Fever (LF) is an animal-borne disease endemic in Africa, whose contaminated environment plays a vital role in its transmission dynamics. This study used a deterministic model to examine LF transmission with two environmental pathway transmissions. First, the stability of the model is established in regards to the model's basic reproduction number, ${R_0}$. Finally, the model implements the sensitivity analysis to identify the parameters that fuel the LF spread using the Latin hypercube (LHS).
• Author(s) : Chinwendu E. Madubueze

## [11400] Modeling trading games in a stochastic non-life insurance market

• Abstract : This study contributes to optimal premium setting in the presence of industrial cycles and dynamics through Lotka-Volterra competition and cooperative differential equations. We provide a novel way of determining Nash equilibrium premium strategies, given that some sensitivity parameters govern insurance firms' premiums. Our modeling approach captures the nexus between optimal premium strategizing and firm performance. Lastly, it captures the relations, business formulation, and behavior between insurers and policyholders.
• Author(s) : Leonard Mushunje

## [11404] Anomalous diffusion and chaotic motion in coupled standard map lattices

• Abstract : The coupled SM processes exhibiting strong chaos and anomalous diffusion have been extensively studied. Although individual maps contain accelerator modes that cause anomalous transport, we observed that the coupled system's global diffusion behavior is determined by the specific configuration of the imposed coupling. By estimating the average-diffusion properties for ensembles and measuring the strength of chaos, we find conditions and system arrangements that favor the suppression of anomalous transport and long-term convergence to normal diffusion.
• Author(s) : Henok Tenaw Moges, Thanos Manos, and Charalampos Skokos

## [11422] Modeling the effect of unemployment and mass media on illicit drug use and terrorism dynamics

• Abstract : The acts of illicit drug use and terrorism have negatively affected the economy and development of some nations because the death rate due to these two phenomena is increasing daily, particularly
among the young generation. To this effect, a mathematical model was proposed, and cost-
effectiveness analysis was conducted to ascertain the most effective and least expensive strategy required
for preventing and controlling the burden of illicit drug use and terrorism in a population.
• Author(s) : John Olajide Akanni

## [11425] Study on decoupled projection method for Cahn-Hilliard equation

• Abstract : We study the numerical analysis for the Cahn–Hilliard (CH) equation using the decoupled projection (DP) method. Many kind of numerical schemes have been proposed to solve the CH equation. We consider the DP method for some schemes to verify the relation for the CH equation. We present the numerical experiments to demonstrate our analysis. As a future work, we will construct a novel numerical scheme using the relation with existing numerical schemes.
• Author(s) : Gyeonggyu, Lee

## [11431] Estimation of Parameter Distributions for Reaction-Diffusion Equations with Competition using Aggregate Spatiotemporal Data

• Abstract : It is commonly assumed that individuals in a population have homogeneous diffusion and growth rates. This assumption can be inaccurate when the population has many subpopulations. We introduce the random differential equation version of the reaction-diffusion model with competition. We then rely on the Prokhorov metric framework to estimate joint distributions of diffusion and growth rates. We find that the random differential equation is more capable at predicting the cell density compared to other models.
• Author(s) : Kyle Nguyen, Erica M. Rutter, Kevin Flores

## [11440] Multigrid solver with super-resolved interpolation

• Abstract : The multigrid algorithm is an efficient numerical method for solving elliptic partial differential equations. The prolongation operator within the multigrid algorithm lends itself to a data-driven treatment with deep learning super resolution. We (i) propose the integration of a super resolution generative adversarial network (GAN) as the prolongation operator and (ii) explore the convergence properties of this super resolution-aided multigrid method on a class of multiscale PDEs typically solved in physics and engineering simulations.
• Author(s) : Francisco Holguin, GS Sidharth, Gavin Portwood

## [11450] Study of dynamic behaviour of psychological stress during COVID-19 in India: A mathematical approach

• Abstract : A new attempt has been made using mathematical modelling to study dynamic behaviour and estimate the final size of spread of the psychological stress arising due to sudden outbreak of COVID-19 in India. The proposed mathematical model examines and includes different behaviours of transition from one process to another in current situation and study their propagation mode. The findings establish several factors associated with level of psychological impact and mental health status
• Author(s) : Subit K. Jain, Swati Tyagi, Neeraj Dhiman, Jehad Alzabut

## [11523] Boros integral associated with generalized Galué type Struve function

• Abstract : Aim of this paper is to investigate Boros integral with three parameters involving generalized Galué type Struve function. Outcome of results are expressed in terms of the generalized Wright hypergeometric function. Several interesting corollaries of various struve functions are deduced as special case. Applications of obtained results are useful in applied mathematical sciences.
• Author(s) : Dr. Naresh Menaria

## [11527] Gathering a robot swarm using circulant communication strategies

• Abstract : We investigate the behavior of a swarm of autonomous, mobile robots moving in the plane. Robots observe positions of their neighbors according to a circulant interaction network and adapt their movement in order to gather in a single point. Using methods from continuous dynamical systems theory, we uncover conditions on the adaptation laws to guarantee gathering will be reached as well as a hierarchy of initial configurations of robot's positions in terms of convergence speed.
• Author(s) : Jannik Castenow, Michael Dellnitz, Raphael Gerlach, Sören von der Gracht, Jonas Harbig, Friedhelm Meyer auf der Heide

## [11540] Convergence Results based on Graph-Reich Contraction in Fuzzy Metric Spaces with Application

• Abstract : This article introduces a novel class of Reich-type contractions that meet the graph preservation criteria in the context of complete fuzzy metric spaces. Our key result is the natural extension of fuzzy metric spaces enriched with a graph, which adds the understanding of fixed points in metric spaces within the realm of graph structure. The findings are further supported by examples and applications.
• Author(s) : Shamoona Jabeen, Mehmet Emir Koksal, Mudasir Younis

## [11553] Mood Prediction for Bipolar Disorder Patient with Sleep Pattern Information

• Abstract : Mood prediction is an essential task for the treatment of bipolar disorder patients. Various
mood prediction models were developed for bipolar disorder patients. However, the mood
prediction model with probability threshold using sleep pattern information is not clearly
developed. We propose the use of a Markov chain to predict the mood. Furthermore, we
investigate the predictability difference between with and without the sleep pattern
information.
• Author(s) : Dongju Lim, Yun Min Song, Jae Kyoung Kim

## [11568] An age-structured mathematical model with global warming effects on the transmission dynamics of malaria in Uganda

• Abstract : An age-structured mathematical model with global warming effects on the transmission dynamics of malaria in Uganda Recently, climate change in Uganda as a result of global warming has led to an increase in the development of mosquito-borne parasites. According to Uganda's Ministry of Health (2005), malaria is endemic in 95 percent of the country's population.Globally, the use of treated bed-net insecticides (TBI) and indoor residual spraying (IRS) to reduce the rate of malaria is increasing
• Author(s) : Peter, B. A., Ogunsola, A. W., Peter, R. E.1

## [11576] Automatic design of mammalian genetic programs

• Abstract : A central goal of synthetic biology is to engineer genetic programs from ready-made components. There is a growing interest in the automation of the design process. We develop a generative algorithm that converts user-specified design objectives into candidate genetic programs. Each program is represented biologically as a graph and mathematically as a system of differential equations. Design objectives focus on modifying dynamic behaviors of such program.
• Author(s) : Anh Van Nguyen, Kathleen Dreyer, Joshua Leonard, Niall Mangan

## [11587] PC-SwinMorph: Patch Representation for Unsupervised Medical Image Registration and Segmentation

• Abstract : Medical image registrations are fundamental tasks for different clinical procedures, where most solutions are supervised techniques. However, those techniques rely on well-representative datasets with ground truth, which is not always possible. To address this challenge, we propose a novel unsupervised framework for image registration. We first propose a patch-based contrastive strategy that enforces local feature representation. Secondly, we propose a patch-stitching strategy to eliminate artifacts. We demonstrate that our technique outperforms current state-of-the-art unsupervised.
• Author(s) : Lihao Liu, Zhening Huang, Pietro Liò, Carola-Bibiane Schönlieb, Angelica I. Aviles-Rivero

## [11588] Far from equilibrium non-conserving exclusion process with site-wise dynamic defects

• Abstract : This study investigates a TASEP with non-conserving dynamics where the inhomogeneities on the lattice appear in the form of defects that stochastically bind and unbind the lattice. The influence of defects at the boundary sites is considered, due to which the entry rate of particles is affected. Utilizing mean-field approximations, we characterize the stationary state properties of the system and investigate the evolution of the phase diagram with respect to binding constant and obstruction factor.
• Author(s) : Nikhil Bhatia, Arvind Kumar Gupta

## [11590] Parametric estimation of a viscoelastic model through complete waveform inversion in elastography.

• Abstract : We present the theoretical and computational forward and inverse problems for continuous viscoelastic medium, addressing the advantage of torsional on pressure waves for imaging. The Kelvin-Voigt model is analyzed, and we estimate the parameters through Full Waveform Inversion (FWI) approach. The project is motivated by ultrasound elastography applications to the biomechanics of the cervix, which is associated with preterm births. The objective is to use waves' velocity as a biomarker to quantify changes in tissue.
• Author(s) : Fátima Fonseca

## [11594] High-Efficiency 3D Video Coding Based On Machine Learning

• Abstract : With the expeditious growth of 3-dimensional (3D) video services for industrial applications, the accompanying large amount of video information requires innovative and powerful compression technologies to deliver more efficient video data compression. In this poster, we will exploit an amalgamation of artificial intelligence and machine learning together with data mining technology, linear regression scheme, and convex optimization method to realize a real-time intelligent low-power and high-efficiency 3D texture-and-depth coding algorithm modeling and hardware design.
• Author(s) : Jui-Hung Hsieh, Kuan-Yi Kuo, and Wei-Ting Chen

## [11643] Medical Judgment Assistant: Data Classification base on Mahalanobis Distance

• Abstract : In this study, we are going to predict the medical data. We use the Mahalanobis distance to make an effective similarity on the data. The Mahalanobis distance is a distance measure based on the correlation between variables which can distinguish different types of overlapping data in the solution space, thereby improving the accuracy of data prediction and effectively helps doctors to make medical judgments.
• Author(s) : Kun-Huang Chen, Ming-Hsuan Chen, Wei-Jie Liang

## [11649] IPPL 2.0: A massively parallel performance portable C++ Particle-in-Cell framework

• Abstract : We present a performance portable C++ framework for Particle-in-Cell (PIC) methods, known as IPPL (Independent Parallel Particle Layer). IPPL makes use of Kokkos and HeFFTe (both part of the Exascale Computing Project), and MPI (Message Passing Interface) to obtain a massively parallel performance portable code which works across various hardware architectures. We showcase the performance of the latest IPPL version using examples from charged particle dynamics on state-of-the-art high-performance computing resources.
• Author(s) : Sonali Mayani, Antoine Cerfon, Tobia Claglüna, Matthias Frey, Severin Klapproth, Michael Ligotino, Veronica Montanaro, Sriramkrishnan Muralikrishnan, Alessandro Vinciguerra, Andreas Adelmann

## [11672] Optimized first order alternating algorithms for fast and accurate low rank tensor decomposition

• Abstract : CP tensor decomposition has been proven to be a powerful tool for extracting information from large high order tensor, being widely applied in many areas such as chemistry, biology and medical science. However, efficiently computing the CP tensor still remains a challenge. In this study, we propose some optimized first order alternating least square algorithms for low rank tensor decomposition. We validate and illustrate the proposed algorithms by using simulated and real multi-way data.
• Author(s) : HUIWEN YU, OVE CHRISTIANSEN

## [11673] AI-based numerical method to solve 2-dimensional fluid flow problem

• Abstract : This paper presents the numerical solution of 2-dimensional fluid flow problem using physics informed neural networks. The applicability of different wavelets as activation functions is investigated. As PINN depends on various parameters, the impact of network architecture on the accuracy of the model is also studied. The wavelet activation function represents an alternative to the tanh activation function and works better depending on the problem. It has been observed that the proposed method improves accuracy.
• Author(s) : Sai Ganga, Ziya Uddin, Rishi Asthana

## [11709] Stochastic food adulteration model for disease spread with media induced response function

• Abstract : This poster presents the Stochastic predator-prey SI model with the media-induced response function. Stabilities of the equilibria and the existence of the Hopf bifurcation are shown. The stochastic model has a global positive bounded solution. Stochastic asymptotic behavior around the equilibria is analyzed. The optimal control system of this model is presented. Theoretical findings are supported by numerical simulations, it is also observed that media play a significant role in reducing the infected population.
• Author(s) : Shivani Khare

## [11710] Effect of DEN-2 Virus on a Stage-Structured Dengue Model with Saturated Incidence and Constant Harvesting

• Abstract : This poster proposes and analyses a nonlinear stage-structured dengue model with a saturated incidence rate and constant harvesting with primary or secondary dengue infection. We analyze the local and global stability of disease-free and endemic equilibria of the system. And at $R_0$=1 (Basic reproduction number), the bifurcation exists, which is proven using the center manifold theory. Finally, numerical simulations are drawn to verify these theoretical results.
• Author(s) : Bhagwan Kumar

## [11735] Low-regularity exponential-type integrators for the Zakharov system under rough data

• Abstract : Two low-regularity exponential-type integrators LREIs are proposed and analyzed for the Zakharov system ZS, including a first-order integrator and a second-order one. To my knowledge, it is the first time to propose such LREIs that achieve the first- and second-order accuracy by requiring one or two additional derivatives for the solutions of ZS, respectively. Numerical comparison with other methods demonstrates the superiority of the newly proposed LREIs for rough data.
• Author(s) : Hang Li, Chunmei Su

## [11758] Localized and spreading chaos in nonlinear multidimensional disordered lattices

• Abstract : We implement the Generalized Alignment Index (GALI) method of chaos detection to investigate the dynamical behavior of nonlinear disordered lattice chains in one spatial dimension. We determine the probability to observe chaotic behavior as the system is approaches its linear limit. We also discriminate between localized and spreading chaos, with the latter dominating the dynamics for higher energy values.
• Author(s) : Bob Senyange

## [11764] Representation Learning for Continuous Single-cell Biology with Graph Neural Networks

• Abstract : Single-cell RNA sequencing provides high-resolution transcriptomics to study cellular dynamic processes, yet its high-dimensionality, sparsity, and noises undermine the performance of downstream analysis. We propose a deep learning framework based on Variational Graph AutoEncoder to learn a low-dimensional representation that preserves global information and local continuity. By applying pseudotemporal ordering to the extracted features, we show that the model accurately preserves the dynamic cell trajectories of real and synthetic scRNA-seq datasets.
• Author(s) : Chengkai Yang

## [11773] Why Deep Surgical Models Fail?: Revisiting Surgical Action Triplet Recognition through the Lens of Robustness

• Abstract : Surgical action triplet recognition is of high relevance as it provides the surgeon with context-aware support and safety. The go-to strategy develops new network mechanisms. However, the performance of state-of-the-art techniques is substantially lower than other surgical tasks. Why is this happening? This is the question that we address in this work. We present the first study to understand the failure of existing deep learning models through the lens of robustness and explainability.
• Author(s) : Yanqi Cheng, Lihao Liu, Shujun Wang, Yueming Jin, Carola-Bibiane Schönlieb, Angelica I. Aviles-Rivero

## [11826] Analysis of viscous dissipative flow of Casson hybrid nanofluid at the stagnation point over a rotating sphere

• Abstract : The flow of non-Newtonian Casson hybrid nanofluid near the stagnation zone over the rotating sphere considered. The influence of thermal radiation, magnetic field and viscous dissipative effects are also taken into account. Similarity transformations are used to convert the governing partial differential equations into ordinary differential equations. The velocity and temperature profiles are graphically displayed for different parameters involved in the study. Nusselt number and skin friction coefficient are also computed.
• Author(s) : Tanvi Singla, Sapna Sharma, Bhuvaneshvar Kumar

## [11827] The influence of road capacity on traffic flow in a percolation-backbone fractal with onramp

• Abstract : To study the influence of variable road capacity and onramp effect on traffic flow dynamics in a network, percolation backbone fractal network is considered. The fractal network is described with the help of cell transmission graph. By using the speed matching model, the density equations are derived. The urban scale macroscopic fundamental diagrams are obtained numerically in the fractal network. It is observed that as the capacity of road decreases, the traffic flow decreases.
• Author(s) : Muskan Verma, Sapna Sharma

## [11830] Effect of adding reactions on the chemical reaction network sensitivity

• Abstract : Biological functions arise from the intricate dynamics of reaction networks comprising numerous reactions and chemicals. However, network information is often inaccurate and diverse across species. Previously, we developed the "Structural Sensitivity Analysis", which enables the responses of reaction systems to parameter perturbations to be determined solely from network topology. In this study, we investigate how small alterations to network structure affect system behavior. The results can be classified into five distinct cases based on topology.
• Author(s) : Atsuki Hishida, Atsushi Mochizuki

## [11839] A generalized structural bifurcation analysis of chemical reaction networks

• Abstract : Chemical reactions link metabolites and form complex networks in living cells. We have previously developed “structural bifurcation analysis,” by which bifurcation properties of reaction systems are determined solely from network topologies. In this work, we establish a precise formalization connecting our analysis to conventional methods based on Jacobian matrices. The formalization increases applicability of the analysis, e.g. determining multistationarity, without assuming the full-rankedness of stoichiometric matrices or eliminations of equations/chemicals.
• Author(s) : Yong-Jin Huang, Takashi Okada, Atsushi Mochizuki

## [11855] Quadratic Lie algebras algorithms applied over oscillator algebras

• Abstract : Quadratic Lie algebras appear in Mathematics and Physics. Main examples are oscillator and generalized oscillator which are related to space-time models and determine some Lie groups with Lorentz metrics or Lorentzian cones. This variety of algebras with bilinear invariant forms can be built using double extensions from a metric vector space via derivations. In this poster we will see an overview of how all these concepts can be algorithmically obtained. Available in our Github repository.
• Author(s) : Jorge Roldán-López, Pilar Benito

## [11865] Nonparametric Bivariate Density Estimation for Missing Censored Lifetimes

• Abstract : Estimation of the joint density of two censored lifetimes is a classical problem in survival analysis, but only recently the theory and methodology of efficient nonparametric estimation have been developed. A familiar complication in survival analysis is that in real data censored lifetimes and indicators of censoring may be missing. For the model of missing completely at random, an efficient bivariate density estimator is proposed, and a practical example is presented.
• Author(s) : Lirit Fuksman, Sam Efromovich

## [11875] Interplay of reservoirs in an exclusion process with limited resources

• Abstract : We study a conserved system comprised of two directed identical lanes connected to two distinct reservoirs having finite resources. Our findings display two distinct phases that admit shocks at steady-state. One phase admits a delocalized shock in each lane with perfectly synchrony while the other phase, the single shock in the system may traverse both lanes or remain restricted to a single lane, depending upon the size of the system.
• Author(s) : Arvind Kumar Gupta, Bipasha Pal

## [11901] Convergence rates of consensus in multi-agent systems with communication delays

• Abstract : In the present talk, we discuss convergence rates of consensus in multi-agent systems with two types of communication delays: discrete and continuous. The dynamics of the agents is described by functional differential equations. We carry out the numerical simulations on some networks involving the delays. Then, by using a Lyapunov functional, we estimate the convergence rates in each case. The convergence of the continuous delay system is faster than that of the discrete one.
• Author(s) : Yoshinori Katanaya,Rijyo Yamakawa,Hirokazu Komatsu,Hiroshi Yokota

## [11943] A MATHEMATICAL MODEL FOR DECIPHERING THE IMPACT OF OBESITY ON CANCER

• Abstract : This work provides insight into how obesity contributes to cancer progression. For this, we developed a diffusive obesity-cancer model consisting of cancer cells, normal cells, fat cells, macrophages, and an ECM. We have directed the formed model's global existence and non-negativity. We presented a traveling wave analysis and calculated the minimum wave speed. Numerical simulation (in both 1D and 2D) discloses that cancer spread increases with increased haptotaxis coefficient and growth rate of obese cells.
• Author(s) : Ani Jain, Parimita Roy

## [11965] The Influence of Human Behavior in COVID-19 Modeling

• Abstract : We incorporate human behavior in a disease model to study how it can affect the spread of COVID-19 in small college settings over short periods of time. We obtain dampened oscillations by introducing a risk assessment function, which allows us to account for participants’ reactions to the spread of the disease and institution policies. We compare these oscillations to COVID-19 data from US postsecondary institutions and discuss the role risk assessment plays in COVID-19 management.
• Author(s) : Ognyan Simeonov

## [11995] Asymptotic tracking of a point cloud moving on Riemannian manifolds

• Abstract : We present two Cucker-Smale type models for the asymptotic tracking of a point cloud moving on complete, connected, and smooth Riemannian manifolds. For each model, we provide a sufficient framework in terms of a moving target point cloud, system parameters, and initial data. In the proposed framework, we show asymptotic flocking, collision avoidance, and asymptotic tracking to a given point cloud.
• Author(s) : HYUNJIN AHN,SEUNG-YEAL HA,JAEYOUNG YOON

## [12006] Perovskites oxides and their theoretical modelling

• Abstract : Transition metal atom doping in Perovskite material is accomplished to investigate the structural, chemical and magnetic properties of synthesized samples. Single phase, cubic crystal formations of BasNO3 are revealed from the structural properties. Transmission electron micrographs (TEM) display the formation of polygonal discs with nanoscale (~50 nm) dimensions. Density functional theory (DFT) is employed to optimize the structural para￾meters obtained from XRD analysis. A (3 × 2 × 2) supercell of BaSnO3 was created for
• Author(s) : Ishtihadah islam, Seemin rubab

## [12015] Application of machine learning to predict dynamics of epidemiological models that incorporate human behavior

• Abstract : In this work, we present modeling, analysis and simulation of a mathematical epidemiological model which incorporates human social, behavioral, and economic interactions. We discuss an approach based in Physics-Informed Neural Network, which is capable of predicting the dynamics of a disease described by modified compartmental models that include parameters, and variables associated with the governing differential equations. Finally, human behavior is modeled stochastically and it is included in the compartmental models.
• Author(s) : Alonso Ogueda-Oliva, Padmanabhan Seshaiyer

## [12047] Impacts of uncertainty about historical information on downstream

• Abstract : In traffic environment, complex uncertainties such as network fluctuations, driver personality, and traffic disruption may affect traffic information. Therefore, by considering uncertainty about historical density information (UHDI), a new lattice model is developed. The UHDI effect is probed using linear and nonlinear stability analysis. The instability is found with an increased value of the UHDI coefficient. The modified Korteweg-de-Vries equation is obtained to describe congestion’s characteristics. Finally, numerical simulations are implemented to confirm theoretical findings.
• Author(s) : Ms.Daljeet Kaur, Dr.Sapna Sharma

## [12065] Variational Approach to Hamiltonian Random Impulsive Differential Systems

• Abstract : We establish a variational framework for Hamiltonian differential systems with random impulses. Using the generalized saddle point theorem, we show that the related energy functionals have multiple critical points, that is, the systems have multiple weak solutions. Moreover, the sufficient conditions for multiple solutions are investigated. We finally give an example to illustrate the feasibility and effectiveness of this method. The result has been published on Qualitative Theory of Dynamical Systems.
• Author(s) : Dan WU

## [12081] Bragg scattering of flexural gravity waves by an array of porous barriers in the context of blocking dynamics

• Abstract : Bragg scattering of flexural-gravity waves by an array of vertical porous barriers is studied from the perspective of blocking dynamics using the canonical eigenfunction expansion method. The study is based on linearized water wave theory and small amplitude structural response. The energy balance relation is used to validate the accuracy of the scattering coefficients. The study reveals that the number of sub-harmonic peaks between consecutive harmonic peaks is two less than the number of barriers.
• Author(s) : Ayan Chanda, Sunil Chandra Barman, Trilochan Sahoo

## [12084] Scattering of oblique flexural gravity waves by an articulated floating elastic plate within the framework of blocking dynamics

• Abstract : Scattering of obliquely incident flexural-gravity waves by an articulated floating elastic plate is studied in finite water depth within the framework of wave blocking using the eigenfunction expansion method. The energy balance relation is derived using the law of conservation of energy flux in the case of single/multiple propagating wave modes. The study reveals the existence of critical incident wave angle (critical time period) beyond (before) which no wave transmission occurs.
• Author(s) : Pawan Negi, Trilochan Sahoo

## [12086] CPFloat: A C Library for Simulating Low-Precision Arithmetic

• Abstract : CPFloat is a full mathematical library, written in C, for simulating low-precision arithmetic. CPFloat exploits the bit-level floating-point representation of the format in which the numbers are stored, by relying only on low-level bit manipulations and integer arithmetic. In numerical experiments, the new techniques bring a considerable speedup (typically one order of magnitude or more) over existing alternatives in C, C++, and MATLAB.
• Author(s) : Massimiliano Fasi, Mantas Mikaitis

## [12101] Formation of triads due to flexural gravity wave interaction with a uniform current in the context of blocking dynamics

• Abstract : Triads can be used to analyse wave energy distribution in wave-ice interaction problems in the polar region. The formation of triads due to the interaction of flexural-gravity waves with a uniform flow is demonstrated graphically from the standpoint of blocking dynamics, which is also validated analytically. The study reveals that seven triads are formed in the framework of flexural gravity wave blocking, whereas three triads are formed before the threshold of blocking frequency.
• Author(s) : Neha Bisht, Trilochan Sahoo

## [12194] Existence, uniqueness, and stability of equilibrium states of free-falling plates

• Abstract : We investigate equilibrium solutions of a quasi-steady two-dimensional model of thin rectangular plates subject to gravitational and fluidic forces at intermediate Reynolds numbers. We examine a broad range of such equilibria through linear stability analysis, and present phase diagrams showing a highly complex structure of stable and unstable regions, including multiple Hopf bifurcation boundaries. We then verify these findings through direct simulation, and propose several factors that substantially contribute to the stability.
• Author(s) : Olivia Pomerenk, Leif Ristroph

## [12200] Diatom Identification in Microscopy Videos Using Computer Vision Techniques

• Abstract : We present a novel approach for identifying diatoms in microscopy videos using convolutional neural networks (CNNs). Our method takes advantage of the CNN's ability to learn features that are important for identifying diatoms, such as their unique shape and texture. We demonstrate the effectiveness of our approach on a dataset of microscopy videos of diatoms. Our work has important implications for the field of diatom analysis, where accurate identification
• Author(s) : Anton Phipps

## [12223] A novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems

• Abstract : We find the numerical solution to a class of nonlinear singular boundary value problems by using a computational technique comprising an optimal homotopy analysis approach and an exponential compact finite difference method to handle the SBVPs. In this, the domain I = [0, 1] is divided into two subintervals as I=[0, ξ]∪[ξ, 1] (the point x = ξ is chosen sufficiently close to the singularity). Convergence analysis of the ECFDM is discussed.
• Author(s) : P. Roul, T. Kumari

## [12248] On Q-integral graphs with Q-spectral radius 6

• Abstract : A connected Q-integral graph with Q-spectral radius six is either known has maximum edge-degree five or is a bipartite graph containing a specific induced subgraph. In this talk, we will improve this result by showing that there is no connected Q-integral bipartite graph with Q-spectral radius six by checking numerous matrix eigenvalues.
• Author(s) : Semin Oh, Jeong Rye Park, Jongyook Park, Yoshio Sano

## [12256] Modeling and Numerical Simulation of Two-Dimensional TMDC Memristive Devices

• Abstract : In recent years, 2D layered transition metal dichalcogenides (TMDCs) received a great deal of attention as promising memristive materials for neuromorphic computing applications. Despite extensive experimental progress, the current work on lateral TMDCs lacks a deep physical understanding. We present a mathematical model and solve it numerically. By including an ionic species and Schottky barrier lowering in a self consistent fashion, we can explain the hysteresis in current-voltage curves.
• Author(s) : Benjamin Spetzler, Dilara Abdel, Patricio Farrell

## [12262] A Stochastic Modelling Approach to Quantify and Assess the Impact of Climate on the Growth of Crop

• Abstract : Probabilistic Models that quantify and assess the short and long run impact of climate change on the growth of crop was established using the Markov chain model. The study presents a novel classification of climatic variables, putting into consideration the crop requirements, this is because most existing models only consider the distribution pattern of the climatic variables without crop requirements. The continuous variables were transformed into (0) and (1) representing binary outcome of a random
• Author(s) : Victoria Adah

## [12273] Randomized Algorithms for Nonnegative Matrix Factorization

• Abstract : Nonnegative Matrix Factorization (NMF) is a popular data analysis technique that has found uses in data visualization, graph clustering, document and text mining, feature learning, ect… In this work we explore and theoretically analyze existing methods for computing NMF and its variants, such as Symmetric NMF (SymNMF). Additionally, we propose two new randomized algorithms. Our randomized method based on leverage score sampling is the only randomized method effective for computing a NMF of sparse input.
• Author(s) : Koby Hayashi, Sinan G. Aksoy, Grey Ballard, Haesun Park

## [12296] Computational Strategies for Bayesian Inversion with Conditionally Gaussian Sparsity Priors

• Abstract : Here we study numerical methods for linear Bayesian inverse problems that employ conditionally Gaussian, sparsity-promoting priors. We present new results on their convexity and on MAP estimation algorithms for these models. To perform uncertainty quantification, we develop a Gibbs sampler to sample the model posterior, which we embed within a parallel-tempering approach to address the nonconvexity. We demonstrate the performance of our methods on a suite of numerical examples including the deblurring and despeckling problems.
• Author(s) : Jonathan Lindbloom, Jan Glaubitz, Anne Gelb

## [12297] Modeling earthquake process and ground motion based on a stochastic differential equation

• Abstract : The faulting processes of earthquakes exhibit considerable variation and can be modeled using a stochastic process framework. To that end, we have developed a model that represents the time series of fault slip as a convolution of two solutions of the Bessel stochastic differential equation. We have evaluated the validity of the model in light of empirical laws on the faulting processes and demonstrate its application to ground motion prediction.
• Author(s) : Shiro Hirano,

## [12300] Features Engineering and Machine Learning Methods for the Prediction of the Patients’ Postoperative WOMAC Score After Total Knee Replacement

• Abstract : The purpose of this paper aims to study the factors and creates a model to predict the patients’ postoperative WOMAC score after total knee replacement. The influencing factors are found by feature engineering using several techniques, e.g. Generalized Linear Model, Support Vector Machine, Deep Learning, and Gradient Boost Tree. Afterwards, the model was created by the Gradient Boost Tree technique which groups different attributes from feature engineering.
• Author(s) : Saranchai Sinlapasorn, Benjawan Rodjanadid , Jessada Tanthanuch, Bura Sindhupakorn

## [12311] Stochastic Differential Equations and a Multivariate Normal Copula Function for Multivariate Data in Forestry

• Abstract : Stochastic differential equations and Copula theories are important topics and it has many advantages for applications in almost every discipline. Many studies in forestry collect longitudinal, multivariate and discrete data, for which the amount of measurements of individual variables does not match. In this study for estimating fivevariate dependencies we used a Gaussian copula approach, when the dynamics of individual tree variables are described by a stochastic differential equation with mixed effect parameters.
• Author(s) : Petras Rupšys; Edmundas Petrauskas

## [12349] Multilevel MC method for weak approximation of stochastic differential equation with the exact coupling scheme

• Abstract : Davie’s exact coupling technique for stochastic differential equations may be used to enhance the convergence of the multilevel Monte Carlo (MC) methodology. Giles developed the multilevel MC technique, which is based on executing the MC method several times with various time increments. It cuts computing costs significantly by executing most simulations at a low cost. The essential concept behind the multilevel MC approach with the exact coupling is discussed in this article.
• Author(s) : Yousef, Alnafisah

## [12356] Modeling CD4+ and CD8+ Cell Activity to Combination Immunotherapy in Mice with Triple Negative Breast Cancer

• Abstract : The immune-tumor response aided by immunotherapy is analyzed through model optimization to our system of ordinary differential equations. Our equations describe the core biology of an immunogenic anti-tumoral response from CD4+ and CD8+ cells which are observed by state-of-the-art longitudinal positron emission tomography (PET) images. Corresponding tumor volume measurements are also included with the data. Immunotherapeutic effects on our tumor-initiated inflammation model are validated by comparisons to immunotherapy single treatment data.
• Author(s) : Dayton Syme, Yun Lu, Anna G. Sorace, and Nicholas G. Cogan

## [12360] Hybrid impulsive biological control model with seasonal effects on a two prey-one predator stage-structured pest-epidemic system at two different pulses

• Abstract : This poster presents the seasonal effects on a two prey-one predator stage-structured model with a saturated incidence rate and Holling type II predation. Biological and chemical control methods are used impulsively at two different pulses. In analysis, the sufficient conditions for a pest-free periodic solutions and permanence of population are determined. The analytic findings are verified by performing some numerical simulations with the help of MATLAB using data in some real sense.
• Author(s) : Kunwer Singh Mathur

## [12361] Schistosomiasis disease model's approximate solution in fractional order

• Abstract : In order to develop a numerical solution to the fractional schistosomiasis illness, the generalised Mittag-Leffler function technique (GMLFM) is used in this study. The parasitic illness caused by Schistosoma trematode flukes is shown by the fractional schistosomiasis disease model. The human population is divided into three categories in this article: susceptible, infected, and recovered.
• Author(s) : Bhatter, S; Jangid, K; Purohit, SD; Shyamsunder

## [12367] A modified approach for fractional transportation problem under interval-valued Fermatean fuzzy sets

• Abstract : Akram et al. (AIMS Mathematics 7 (2022) 17327–17348) introduced a method to solve Fractional transportation problem (FTP), where parameters are represented by triangular interval-valued Fermatean Fuzzy Numbers (FFNs). Moreover, the optimality criterion was extended for transportation problem (TP) to FTP. But their approach is significantly more time consuming. To address this issue, we developed a ranking function to convert all FFNs to crisp numbers, and compared our results with Akram et al.'s method.
• Author(s) : Parul Tomar, Amit Kumar

## [12370] The finite element method with neural networks to reconstruct the mechanical properties of an elastic medium

• Abstract : In this work we investigate a mathematical model to reconstruct the mechanical properties for the optical coherence elastography imaging modality. To solve the inverse problem of elastography we present an algorithm to update the parameters that combines the backpropagation technique with the ADAM optimizer to minimize a cost function that
takes into account the error of using neural networks in the fully discretized scheme of the direct problem. We report results using noisy data.
• Author(s) : Rafael Oliveira Henriques, Sílvia Alexandra Alves Barbeiro

## [12371] Inappropriateness in simple non-cooperative games with intuitionistic fuzzy information

• Abstract : Yang et al. (Appl. Intell (2021) 51: 6685-6697) proposed an approach to solve matrix games and bi-matrix games with intuitionistic fuzzy payoffs to reduce computational efforts. However, after a deep study of Yang et al.’s approaches, it is noted that a mathematically incorrect result is considered in their approach. Hence, it is inappropriate to use Yang et al.’s approach. In this note, the mathematically incorrect result, considered in Yang et al.’s approach, is pointed out.
• Author(s) : Kirti, Tina Verma, Amit Kumar

## [12389] Riemann problems for invsicid hyperbolic PDEs through approximate analytical approach

• Abstract : The present work provides a synthesis towards understanding the advantage of the approximate analytical method on hyperbolic conservation equations with specific piecewise initial value problems. The conservation equations of inviscid Burgers’ equation with a specific Reimann problem has been solved within a considerably smaller number of iteration and a rapid convergence rate. Results of compression and rarefaction waves are displayed graphically, which shows the effectiveness of this novel approximate analytical approach.
• Author(s) : Mahesh Kumar, Ranjan Kumar Jana

## [12392] Exploring the Impact of Controlled Vehicles on Mixed Traffic in Cellular Automata

• Abstract : To investigate the impact of controlled vehicles (CV) on mixed traffic, we propose a controlled stochastic optimal speed (CSOV) model in cellular automata. The CSOV model extends the original SOV model by incorporating two different vehicle controls, the gap-based control and the flow-based control. We will discuss the simulation results under different penetration rates of the CV and strength of control parameter.
• Author(s) : Kayo Kinjo, Akiyasu Tomoeda

## [12401] A 5th order finite difference WENO Scheme

• Abstract : We propose a new Z-type nonlinear weights of the fifth-order finite difference WENO scheme for hyperbolic conservation laws. Specifically, we take the pth root of the smoothness indicators and follow the form of Z-type nonlinear weights, leading to fifth order accuracy in smooth regions, even at the critical points, and sharper approximations around the discontinuities. We also prove that the proposed nonlinear weights con- verge to the linear weights as p → ∞.
• Author(s) : Xinjuan Chen, Jiaxi Gu, Jae-hun Jung

## [12402] Investigating the Similarity of Ozone Pollutant Behavior Through Topological Data Analysis

• Abstract : A high ozone concentration can cause adverse impacts on human health, creating concerns among the stakeholders and responsible parties. Different techniques and approaches have been applied to understand the behavior of ozone pollutants. A different approach is highlighted through the topological data analysis (TDA) application, which primarily focuses on the qualitative structure of data. TDA depicts the similarity of ozone pollutants through topological graph, marking the most affected areas and geographical relationships between regions.
• Author(s) : Nur Fariha Syaqina Zulkepli, Mohd Salmi Md Noorani, R.U. Gobithaasan

## [12405] Detecting CoVid 19 using Topology

• Abstract : In this worldwide spread of SARS-CoV-2 COVID−19
infection, it is of utmost importance to detect the disease early, especially in the hot spots of this epidemic. The computed tomography CT
-scan image is preferred to the RT−PCR
due to its effective results. We use persistent homology, a technique from the topological data analysis TDA
for this purpose to quantify the topological properties of CT-scan images, to imitate an eye of a professional medical practitioner.
• Author(s) : Muhammad Imran Qureshi, Sohail Iqbal, Hafiz Ahmed , Talha Qaiser , Nasir Rajpout

## [12412] Simulating Saudi Kidney Exchange Program

• Abstract : Kidney Exchange matches one patient and his or her incompatible donor with another pair in the same situation for an exchange. Kidney exchange programs (KEPs) circumvent these barriers as they enable patients to exchange donors. Such a central KEP has the potential to match more patients and to find better matches, thus increasing the quality of life of transplant recipients and reducing mortality. We used simulation and modeling tools to evaluate novel matching strategies.
• Author(s) : Michal Mankowski, Khalid AlMeshari

## [12414] Multi-species PDE systems with nonlocal interactions and small inertia

• Abstract : The poster is about the derivation of first order multi-species models with nonlocal interactions using two different strategies. In the first one, we start considering the one-dimensional case obtaining the first-order model as small inertia limit of a second-order model. Here we adopt the notion of “sticky particles”.
The second strategy concerns the derivation of the first-order model as small inertia limit of a kinetic system in multi-dimension. In this case, singular self-potentials are considered.
• Author(s) : Young-Pil Choi, Marco Di Francesco, Simone Fagioli, Valeria Iorio

## [12417] Modelling the impact of multiple transmission pathways on disease severity of Coronavirus

• Abstract : The transmission of the COVID-19 virus occurs primarily through person-person contact, with contaminated surfaces providing a secondary transmission route. In this work, a modified SEIR epidemic model incorporating shedding effect is proposed to analyze transmission dynamics of the COVID-19 virus. The expression for the basic reproduction number, global stability and backward bifurcation of the system is derived, taking shedding as a new infection. The numerical simulation is demonstrated to illustrate the results.
• Author(s) : Preeti Deolia

## [12422] Hybrid High Order Method for Semi-linear Sobolev Equation

• Abstract :
I will present a convergence analysis of a hybrid high order (HHO) method on general meshes for the semilinear Sobolev equations. Piecewise polynomials of degree k are employed in the HHO formulation. The convergence analysis is explored in two phases: first in space and later in time. The proposed method employs a Crank-Nicolson scheme for temporal discretization and a HHO for spatial discretization. Several numerical experiments are carried out to validate the theoretical results.
• Author(s) : Naresh Kumar, Hanz Martin Cheng

## [12425] Soft magnetic microrobots move more efficiently with a flat tire

• Abstract : This poster will describe the rolling of active Pickering emulsions – small droplets (~10-100 um) covered in smaller (~1um) active particles that can be rolled along a surface by an external, AC magnetic field. Curiously, these droplets roll much faster and more efficiently when they have a larger area of contact with the confining surface. The poster will outline experiments and numerical simulations that are used to quantify and explain this behavior.
• Author(s) : Brennan Sprinkle, Yan Gao, David Marr, Ning Wu

## [12426] Temporal pattern of synchronization in gamma-band neural oscillations

• Abstract : Gamma synchronization plays a significant role in many cognitive functions. Synchronization fluctuates over times, and the temporal pattern of synchrony may be correlated with behavior. In this study, we build a mathematical model to understand the mechanism of intermittent synchronization in gamma band. Then, we show that network with different temporal patterns may yield different sensitivity to input.
Acknowledgement: This work receives support from NSF DMS 1813819
• Author(s) : Quynh-Anh Nguyen, Leonid L. Rubchinsky

## [12437] Identities of the multi-variate independence polynomials from heaps theory

• Abstract : We study and derive identities for the multi-variate independence polynomials from the perspective of heaps theory. Using the inversion formula and the combinatorics of partially commutative algebras we show how the multi-variate version of Godsil type identity as well as the fundamental identity can be obtained from weight preserving bijections. Finally, we obtain a new multi-variate identity involving connected bipartite subgraphs similar to the Christoffel-Darboux type identities obtained by Bencs.
• Author(s) : Deniz Kus, Kartik Singh, R. Venkatesh

## [12448] Numerical simulation of natural convection in a rectangular cavity with the Cattaneo effect

• Abstract : An incompressible flow of a Boussinesqian fluid inside a vertical differentially heated square cavity is considered. This basic industrial set up is modeled through the unsteady Navier-Stokes equations and the Cattaneo-Christov heat flux model based hyperbolic energy equation. A finite volume solution is obtained on a uniform staggered mesh. The results in terms of isotherms, streamlines and Nusselt number are obtained as a function of the Rayleigh number, the Prandtl number and the relaxation parameter.
• Author(s) : Saravanan S, Muthumeena R

## [12449] Lyapunov stability of plane parallel porous convection with heat generation

• Abstract : A typical plane parallel convective motion arising in an externally and internally heated slot filled with some porous material is considered. Temperature dependent diffusion coefficients and nonuniform distribution of volumetric heat sources across the slot are taken into account. Using Lyapunov direct method the perturbations are shown to be asymptotically and exponentially stable provided that the Rayleigh number is sufficiently small.
• Author(s) : Saravanan S, Meenasaranya M

## [12452] Numerical Study of Temperature Dependent Viscosity and Thermal Conductivity on a Natural Convection Flow over a Sphere in Presence of Magneto Hydrodynamics

• Abstract : The objective is to investigate the numerical study of temperature-dependent viscosity and thermal conductivity on the natural convection flow of an electrically conducting fluid over an isothermal sphere in presence of magnetohydrodynamics. The governing equations are transformed into dimensionless non-similar equations by using a set of transformations and solved numerically. The computational findings for dimensionless velocity profiles, temperature profiles, local skin friction coefficient, and local heat transfer coefficient are displayed graphically and in tabular forms.
• Author(s) : Md. M. Alam, Rina Begum, Mohammad Mahfuzul Islam and M. M. Parvez

## [12453] Kulkarni-Ahona Corollary for the Newton-Gauss Theorem

• Abstract : We give a new corollary approach to the Newton-Gauss Line, showing colinearity using coordinate geometry and an algebraic expansion method in the cartesian coordinate plane. Building upon principles from the Newton-Gauss line and properties of a complete quadrilateral, we prove that the midpoints of the three diagonals of a complete quadrilateral are colinear.
• Author(s) : Pranav Kulkarni, Victor Ahona

## [12463] A Spatially Distributed Model of Brain Metabolism

• Abstract : A computational methodology for a multidomain model of brain tissue is implemented to account for metabolic processes during neuronal activation, including diffusion and cerebral blood flow. The model assumes diffusion in the extracellular space and astrocyte compartment, and communication occurs via local transport fluxes and diffusion. Numerical implementation uses a finite element method, with computed experiments demonstrating the impact of elevated glutamate in the synaptic cleft of the extracellular space and the role of metabolite
• Author(s) : Gideon Idumah, Erkki Somersalo, Daniela Calvetti

## [12469] Computing solution space properties of combinatorial optimization problems via generic tensor networks

• Abstract : We introduce a unified framework to compute the solution space properties of a broad class of combinatorial optimization problems. These properties include finding one of the optimum solutions, counting the number of solutions of a given size, and enumeration and sampling of solutions of a given size.
• Author(s) : Jin-Guo Liu, Xun Gao, Madelyn Cain, Mikhail D. Lukin, Sheng-Tao Wang

## [12472] Robust train trajectory optimization

• Abstract : Variating operating conditions may produce delays in railways. We model the Robust Train Trajectory Optimization (RTTO) problem aiming to minimize the impact of model parameter uncertainty on the calculated energy-efficient trajectories, which would be drivable under any of the considered operating conditions. We analyze RTTO using the Robust Maximum Principle, reformulate the problem as a Quadratically-Constrained Quadratic Programming problem and showcase the performance of the model in a real case study.
• Author(s) : Alex Cunillera, Ramon M. Lentink, Niels van Oort, Rob M.P. Goverde

## [12495] Polar Derivative of Bicomplex Polynomials

• Abstract : In this paper, we define polar derivative of a bicomplex polynomial. We
prove Laguarre theorem for bicomplex polynomials. We also prove certain inequalities
concerning to polar derivative of a bicomplex polynomial. Besides t − th order polar
derivative, we have also discussed relation between norms of polar derivative of a bicomplex
polynomial and its inverse polynomial.
• Author(s) : Idrees Qasim

## [12502] Control problem for nonlinear fractional dispersive system

• Abstract : Motivated by the porous media equation as well as population dynamics models, we study control problem for nonlinear fractional system of differential equations. The solving strategy that we propose is essentially novel and involve techniques and tools from fractional calculus and functional analysis. The basic idea consists of linearizing the system, and then using the fixed point results. Also, we are interested in concepts such as controllability and observability in the fractional framework.
• Author(s) : Maja Jolic, Sanja Konjik, Darko Mitrovic

## [12503] How bifurcations of dynamical systems are helping train drivers to save energy in the Netherlands

• Abstract : Nederlandse Spoorwegen is the main Dutch railway operator. Their drivers use an application that shows when to stop accelerating or braking to arrive timely while saving energy. Bifurcation theory is used to analyze the solutions of the dynamical system that models a train's dynamics, to identify terminal speeds and to select the analytical solution of the model to be used in the calculations. The new advice algorithm currently in operation is based on this research.
• Author(s) : Alex Cunillera, Harm H. Jonker, Gerben M. Scheepmaker, Wilbert H. T. J. Bogers, Rob M. P. Goverde

## [12511] Mixed convection impulsive Williamson ternary nanofluid fluid flow about a spinning rough sphere: Influence of periodic magnetic field

• Abstract : This study investigates impulsive mixed convective Williamson ternary nanofluid flow over a rotating rough sphere under the influence of periodic magnetic field. The external stream drives the time-dependent flow. Sinusoidal waveforms with small amplitude and high-frequency model the rough sphere's surface. Williamson fluid flow governing equations are highly coupled nonlinear PDEs under proper initial and boundary conditions. Semi-similar transformations convert them to non-dimensional forms, and quasi-linearization and implicit finite difference approximation yield numerical semi-similar solutions.
• Author(s) : P M Patil

## [12514] StOKeDMD: Fire Up The Learning Machine

• Abstract : This newly developed method creates a model that adapts as new data is introduced. This development means that our method is more memory efficient and allows for the analysis of data sets with high sampling rates. The new method is a streaming version of occupation kernel dynamic mode decomposition (OKDMD) and is named StOKeDMD. Like OKDMD, StOKeDMD is shown to be effective at obtaining physically interpretable models for unknown dynamical systems.
• Author(s) : Efrain Gonzalez, Benjamin Russo, Paul Laiu, Richard Archibald

## [12516] Selection mechanism in non-Newtonian Saffman-Taylor fingers

• Abstract : An analytical method based on the WKB approximation is offered to forecast the finger width ($\Lambda$) of a Newtonian fluid pushing a non-Newtonian fluid by selecting a unique finger width from the family of possible solutions. We also discovered that the relationship between $\Lambda$ (dimensionless) and the parameters containing the viscosity and surface tension, $\nu$ (dimensionless), has the form: (I) $\Lambda \sim \frac{1}{2}-\mathcal{O}(\nu^{-1/2})$ (for shear-thinning) (II) $\Lambda \sim \frac{1}{2}+\mathcal{O}(\nu^{2/(4-n)})$ (for shear-thickening). Significant comparison is provided.
• Author(s) : D. Bansal, D. Ghosh, S. Sircar

## [12535] Enhancing Flood Detection using Hybrid Hierarchical Clustering with Persistent Homology Technique

• Abstract : To enhance the comprehension of how cluster analysis aids in detecting floods, this study conducted a comparative analysis of the effectiveness of hierarchical agglomerative cluster analysis (HACA) and hybrid HACA in identifying dissimilarities in water level time series. The hybrid HACA method incorporates the dynamic time warping algorithm and topological features to improve performance. The findings indicate that the hybrid HACA method is more efficient in detecting flood events than traditional HACA.
• Author(s) : Syed Mohamad Sadiq Syed Musa, Nur Fariha Syaqina Zulkepli

## [12536] Understanding Snaking through Integral Asymptotics

• Abstract : We extend a novel approach to understanding the Snaking Bifurcation in variational systems through intuitive energy principles as opposed to the classical exponential asymptotic analysis. This novel approach is applicable to new problems that are inaccessible using pre-existing techniques, including systems in multiple spatial dimensions.
• Author(s) : Edwin Watson-Miller, Dr. Philippe Trinh, Prof. Jonathan Dawes

## [12556] Micro-Macro Modelling of Particulate Systems

• Abstract : Mathematical Modelling of particulate systems is challenging because of various complex mechanisms acting on the system. The problems are two folds: (a) an accurate and efficient numerical method is required for solving the underlying system of integro partial differential equations, and (b) modelling of kinetics into the model parameters is extremely difficult. This work addresses both aspects of the problem.
• Author(s) : Jitendra Kumar

## [12560] Fuzzy optimization in beam intensity modulated radiotherapy planning

• Abstract : IMRT is a cancer treatment whose aim is to deliver sufficient dose to the tumor while minimizing the unavoidable dose to healthy organs. Prescribing doses can be inaccurate based on the physician's experience, movement of internal organs, and likelihood of tumor control. To determine an effective treatment, Fuzzy Optimization is used, in which the Logarithmic Barrier Method is applied using different fuzzy numbers in several cases of cancer to determine the optimal treatment plan.
• Author(s) : Nicole Cristina Cassimiro de Oliveira, Jackeline Del Carmen Huaccha Neyra, Aurelio Ribeiro Leite de Oliveira

## [12566] A preconditioner for handling dense columns in Interior-Point Methods

• Abstract : One of the most common methods used to solve linear programming (LP) problems are Interior-Point methods. These methods involve solving linear systems that include the constraint matrix. When the constraint matrix contains dense columns, it becomes important to determine how to handle the density. This project proposes a preconditioner for solving LP problems whose matrix contains dense columns. We include theoretical properties and computational tests that demonstrate the method's competitiveness and show that is well-behaved.
• Author(s) : Catalina Jaramillo Villalba, Aurelio Ribeiro Leite de Oliveira

## [12574] Global synchronization analysis of non-diffusively coupled networks through Contraction Theory

• Abstract : A plethora of work is done to find conditions that foster synchronization in diffusively coupled systems, in which the coupling vanishes on the synchronization manifold. However, there are few analytical approaches to understanding synchronization behavior in non-diffusively coupled networks. Motivated by neuronal models connected through chemical synapses, we investigate sufficient conditions for non-diffusively coupled oscillators to synchronize globally. Our global stability method follows an analytical contraction-based approach to study complete synchronization in oscillatory networks.
• Author(s) : FATOU KINEH NDOW, ZAHRA AMINZARE

## [12576] A INAR(1) model with transmuted geometric marginal distribution

• Abstract : The transmuted geometric distribution is flexible distribution. This can be used for the inflation of zeros in the data as well as for different tail lengths. In this paper, an Integer autoregressive model with transmuted geometric marginal distribution is proposed. Various probabilistic and inferential properties of the model are studied. A Monte Carlo simulation study has been done. The predictive performance of the model has been studied. Real data has been analyzed using the model.
• Author(s) : Manik Awale

## [12580] A note on impact of varying dividend conditions on option pricing

• Abstract : This poster presents the analytical and numerical approach to solve the Black- Schloes model with dividend for option pricing. The BS model is widely used to calculate the fair price of European call and put options. The alternative analytic approach to solve BS model with dividends is presented. We improve the result of RodrigoR 2005. Further, a numerical explicit finite difference scheme is applied to find the numerical solution of the Black-Schloes model with divided.
• Author(s) : Rajkumar Gangele, Shivangi Asati, Shivani Khare

## [12587] An integral equation method for wave interaction by two thin porous vertical barriers over a thick barrier

• Abstract : A breakwater model based on integral equation method is developed to analyse the wave propagation over a thick barrier in presence of two thin vertical partially immersed porous barriers. With the help of eigenfunction expansion, four weakly singular Fredholm-type integral equations involving horizontal component of velocity as unknown functions are obtained from the boundary value problem. The unknown functions of the integral equations have both half and one-third singularities at the edges of the barriers.
• Author(s) : Soumen De, Biman Sarkar

## [12588] On the statics and dynamics of transverse domain walls in bilayer piezoelectric-magnetostrictive nanostructures

• Abstract : We investigate the static and dynamic properties of transverse Bloch domain wall in an isotropic, linearly elastic bilayer piezoelectric-magnetostrictive nanostructures under the influence of axial (driving), transverse magnetic fields and spin-polarized electric current. We propose a new Walker’s type trial function and establish the analytical expressions of the dynamical quantities such as moving DW profile, velocity, displacement, and excitation angle by using a small angle approximation approach. Finally, we delineate the obtained analytical results numerically.
• Author(s) : Sharad Dwivedi, Yenshembam Priyobarta Singh, Giancarlo Consolo

## [12590] Drop Impact: modelling a lubrication air layer and surface waves in droplet rebound dynamics.

• Abstract : A small liquid droplet rebounding from the free surface of a deep bath has been studied experimentally and with a variety of models. An important part of the physics is a thin layer of air separating the droplet and the free surface. We develop a fully coupled dynamic model for the drop-air-bath interaction, using lubrication theory to deduce the pressure transfer between the drop and free surface in two-dimensions for both rigid and deformable impact.
• Author(s) : Kat Phillips, Paul Milewski

## [12594] A monotone discretization for integral fractional Laplacian on bounded Lipschitz domains: Pointwise error estimates under Hölder regularity

• Abstract : We propose a monotone discretization for the integral fractional Laplace equation on bounded Lipschitz domains with the homogeneous Dirichlet boundary condition. By using a discrete barrier function that reflects the distance to the boundary, we show optimal pointwise convergence rates in terms of the Hölder regularity of the data on both quasi-uniform and graded grids. Several numerical examples are provided to illustrate the sharpness of the theoretical results.
• Author(s) : Rubing Han, Shuonan Wu

## [12595] Study of inverse matrix projective synchronization between integer-order and fractional-order chaotic systems

• Abstract : This article discusses inverse matrix projective synchronization between fractional-order and integer-order chaotic systems. Based on Lyapunov’s stability theory, the synchronization between chaotic systems has been achieved. Some necessary criteria also derived such a way that the chaotic response system controls the chaotic drive system. Numerical simulation results authenticate the effectiveness and feasibility of the theoretic results.
• Author(s) : Vijay Kumar Shukla

## [12597] Spatiotemporal Orthogonal Polynomial Approximation for PDEs

• Abstract : In this article we present some important aspects of spectral methods along with their applications to the numerical solution of some Partial Differential Equations (PDEs). Starting with some fundamental concepts, we start with approximation of some PDEs using Lagrange and Techbychef orthogonal polynomials as a weighted sum of polynomials for both space and time integrations. Then we use collocation approach at some clustered grid points to generate a system of equations to approximate the weights
• Author(s) : S Dhawan

## [12600] OPTIMAL CELL AVERAGE DECOMPOSITION FOR HIGH-ORDER BOUND-PRESERVING SCHEMES

• Abstract : The problem of seeking optimal cell average decomposition (OCAD) arises from constructing efficient high-order bound-preserving numerical methods within Zhang-Shu framework. It remained unknown what CAD is optimal for higher-degree polynomial spaces. We establish the general theory for analyzing the OCAD problem on Cartesian meshes in 1D and 2D, and rigorously prove that the classic CAD is optimal for general 1D $\mathbb{P}^k$ spaces and general 2D $\mathbb{Q}^k$ spaces, but not optimal for the 2D $\mathbb{P}^k$ spaces.
• Author(s) : Shumo Cui, Shengrong Ding, Kailiang Wu

## [12602] Frailty and its association with Socio-demographic and health on older adults

• Abstract : This paper summarizes frailty and its associations with socio-demographic, functional health, disease, co-morbidities, and behavioral risk factors that can be addressed to reduce its burden. Prefrail and frail status was adversely related with older women who lived in rural areas and had no IADL, and positively associated with older men who had no education and no ADL difficulty. Prevalence of depression was commonly associated with weight loss among male older and exhaustion in their counterpart.
• Author(s) : Alok Kumar, Afifa Aftab

## [12604] Mathematical Model of COVID-19 Pandemic with Imperfect Vaccination using Homotopy Perturbation Method

• Abstract : Global threats include the COVID-19 pandemic. Moderna, AstraZeneca, and Pfizer vaccines have been administered. The frequent mutation of viruses has raised concerns about the vaccine's efficacy. This study investigated the effects of imperfect vaccination. The stability analysis determines disease eradication using the basic reproduction number. The basic reproduction number was analyzed for sensitivity. We use the homotopy perturbation method to simulate our results.
Keywords: COVID-19, Imperfect Vaccination, Homotopy Perturbation Method
• Author(s) : Ayoola Tawakalt Abosede, Kolawole Mutairu Kayode, Popoola Amos Oladele, Bashiru Kehinde Adekunle

## [12606] An efficient optimization approach for three-dimensional packing problems

• Abstract : This study proposes a novel deterministic optimization approach for globally solving 3D packing problems that have been applied in various practical applications. The original problems are transformed into an equivalent linear mixed integer programming problem containing much less number of binary variables than current methods. Then an efficient algorithm is developed to solve the transformed problems. Experimental results reveal that the proposed method can effectively solve large scale 3D packing problems within a reasonable time.
• Author(s) : Jung-Fa Tsai, Ming-Hua Lin

## [12611] Trophic Analysis On Production Network: Applying The Idea Of Food Chains To Economic data

• Abstract : This study aims to understand the position of economic sectors and regional supplier-buyer relationships between countries by studying the WION dataset. We use the newly improved version of trophic levels and the related concepts of trophic incoherence to investigate the flow structure of the production network. Further using the levels, we decompose the original network into circular and potential flows. We identify important economic clusters using flow-based community detection techniques.
• Author(s) : Yijie Zhou

## [12615] Application of integral transform to the study of interfacial tsunamis

• Abstract : This study presents a set of analytic solutions of interfacial tsunamis triggered by a sudden motion. The solutions are derived by applying Laplace and Fourier transforms in temporal and spatial dimensions. Three fundamental types of seabed deformations, which include the rectangular, cosine and sine deformations, are considered and analyzed. Based on the derived solutions of these basic deformations, tsunamis induced by an arbitrary seabed deformation can be readily analyzed with the help of Fourier analysis.
• Author(s) : Liu, Chi-Min

## [12620] Study of finite-time synchronization between memristive neural networks with leakage and mixed delays

• Abstract : Abstract: This article investigates the finite-time synchronization (FTS) of memristive neural networks (MNNs) with leakage and mixed delays using state feedback control and adaptive control technique. The solution of all the systems has been obtained in the Filippov sense using theories of differential inclusion and set valued maps. Few sufficient conditions are derived using the Lyapunov functional and Filippov regularization technique to obtain synchronization between derive and response MNNs. In order to achieve the synchronization
• Author(s) : Vijay Kumar Shukla, Afef Fekih, Mahesh C. Joshi, Prashant K. Mishra

## [12622] Theory of Rough Sets in Machine Learning Approaches

• Abstract : Predictive Modeling is one of the emerging trends in Machine Learning Approaches. It is machine learning based Statistical Analysis used to find the future results from training data and this model enables the decision-makers to give optimal results. Rough set was introduced by Zdzislaw Pawlak in 1982 using indiscernibility relation among objects. This theory handles the data with uncertain and imprecise. This work proposes Rough set based predictive model on Medical data.
• Author(s) : K.Anitha

## [12625] Static and Kinetic Depinning of Domain Walls in a Notched Ferromagnetic Nanostrip with Inertial and Nonlinear Dissipative Effects.

• Abstract : In this work, we investigate the static and kinetic depinning field of a domain wall in a notched magnetic nanostrip in the framework of the Landau-Lifshitz-Gilbert equation combined with inertial and nonlinear dissipative effects. A detailed assessment of the impact of viscous, dry-friction, and inertial dissipations on the domain wall propagation and the pinning and depinning dynamics is provided by adopting a Walker-type trial solution and employing numerical simulations.
• Author(s) : Sarabindu Dolui, Sumit Maity, Sharad Dwivedi

## [12643] Impact of harvesting and additional food in pest management using cannibalistic predator prey model

• Abstract : We formulated a cannibalistic predator prey model providing additional food to natural enemy (predator) and harvesting in prey species. Further, we analyze the local stability of possible equilibria of system and discuss the bifurcation in terms of additional food and harvesting parameters. We observe that by varying the quality and quantity of additional food and harvesting parameters, one can not only limit and control the pest but also eradicate the natural enemies
• Author(s) : Deepak Tripathi, Anuraj Singh

## [12646] Understand portfolio compression from the perspective of trophic analysis

• Abstract : Explore the topology of derivative networks by analyzing portfolio compression, which is an important post-trade operation that reduces interconnectedness between financial networks. Our primary approach is to investigate the trophic structures of these networks through trophic analysis. Our findings suggest that networks with more incoherent ex-ante compression will become more coherent after compression, removing more excess through the compression operation. Additionally, we examine node-level statistics to determine individual fairness through compression operations.
• Author(s) : Yijie Zhou

## [12651] Development of a mathematical model for adsorption of multiple components from a polluted fluid

• Abstract : We develop a mathematical model to describe an adsorption process in which two species compete to occupy the available sites on the adsorbing particles. The governing equations are kinetic and advection-diffusion for each species, related both to the individual adsorption processes and describing the interaction between the two species. Once the relevant variables are scaled and the dimensionless parameters have been identified, the system is solved numerically and validated against experimental data.
• Author(s) : M. Calvo-Schwarzwalder, A. Cabrera-Codony, A. Valverde, M. Aguareles, T.G. Myers

## [12652] Derivative-free optimization for hydraulic coefficients

• Abstract : In order to properly understand and predict the behavior of a fluid flow, be it natural or not, it is essential to use hydraulic models. The Manning roughness coefficient, present in these models, plays an important role in making accurate estimates. In view of this, an analysis of the East Fork River data is presented, accompanied by a least squares approach to estimate the Manning coefficient using a derivative-free method.
• Author(s) : Fabio Augusto Fortunato Filho, José Mario Martínez, Rodolfo Gotardi Begiato

## [12653] Improving Image Reconstruction from Noisy Fourier Data

• Abstract : We introduce a new technique to reconstruct images from noisy, incomplete Fourier data. We improve upon the Bayesian Coordinate Descent method to find a MAP estimate of the posterior distribution, which both more accurately reconstructs functions than many numerical methods and can be used to quantify the uncertainty of the reconstruction. Our preliminary results suggest this technique has broad applications in medical monitoring with MRI images and in defense contexts with synthetic aperture radar images.
• Author(s) : Anne Gelb, Tongtong Li, Jack Friedman, David Appleton

## [12662] Shaping up scientific Machine Learning

• Abstract : The identification of interesting substructures within jets is an important tool for probing the Standard Model at colliders. We present SHAPER (Shape Hunting Algorithm
using Parameterized Energy Reconstruction), a measure theoretic approach to identifying such substructures, by adapting modern advances from dictionary/manifold learning. Further, we show that SHAPER constitutes the optimal approach to such collections of problems in high energy physics and estimate optimization guarantees on the same.
• Author(s) : Demba Ba, Akshunna S. Dogra, Rikab Gambhir, Abiy Tasissa, Jesse Thaler

## [12667] Study Of Nanocomposites For Drug Delivery In Capillary

• Abstract : The present work concerns with the use of Mg and Al layered Ag nanoparticles collectively identified as nanocomposites for drud delivery in a capillary. The dispersion model by Sankar subramanian and Gill has been combined with Hixson Crowell model to frame the mathematical model. The results for velocity and concentration have been plotted. It has been perceived that the thickness of Mg- Al layer of about 55nm is highly effective for drug delivery applications.
• Author(s) : Bhawini Prasad, Rekha Bali

## [12689] Gradient Elasticity Theory for Two Collinear Cracks under Mode III Deformation in Functionally Graded Materials

• Abstract : The theory of anisotropic strain gradient elasticity is used to solve two mode III cracks in a functionally graded material. The theory has two material characteristic lengths, l and l', that describe the size scale effect caused by the underlining microstructure and are related to volumetric and surface strain energy, respectively. Fourier transforms and the hyper-singular integro-differential equation method are used to solve the crack boundary value problem. Formulas for stress intensity factors are derived.
• Author(s) : Kamlesh Jangid

## [12699] Fully automated scar quantification in myocardial infarction

• Abstract : Cardiac magnetic resonance imaging is the current standard modality for assessing the state of the heart after myocardial infarction. Based on convolutional neural networks we present a new framework, which calculates the extent of myocardial infarction in a fully automated way. Results show very good agreement between manually and automatically calculated infarction volumes even outperforming state-of-the-art methods. Our algorithm could greatly reduce the time to diagnosis as well as support physicians in further treatment steps.
• Author(s) : Schwab Matthias, Pamminger Mathias, Kremser Christian, Haltmeier Markus, Mayr Agnes

## [12710] Dynamics of Resistance vs Sensitivity of Bacterial Pathogens

• Abstract : As antibiotic resistance becomes more prevalent, we explore the dynamics of sensitivity versus resistance to antibiotics in bacterial pathogens using multiple epidemiological compartmental models and stochastic simulations to understand their mutual relationship, coexistence, co-evolution and their relative dynamics as a function of antibiotic usage and both the fitness cost and advantage of resistance, in order to determine optimal antibiotic usage for the best treatment outcomes and reduced risk of resistance emergence and spread.
• Author(s) : Swetha Usha Lal, Xavier Didelot, Matt Keeling

## [12722] Parameter Identification of Vegetation Pattern Dynamic Systems

• Abstract : Vegetation patterns, like spots, and stripes, emerge in dryland regions. We propose a probabilistic method to identify parameters in vegetation pattern dynamic systems. Our approach determines the most probable parameter values that allow the model to most closely replicate observed vegetation patterns. By identifying parameters, the models can be validated and reveal key properties of the soil environment, like water redistribution rates. This could aid evaluation and prediction of vegetation in dryland regions.
• Author(s) : Xinyue Luo, Yu Chen

## [12727] Dynamical Motion of Surface Active Flow Driven Droplets

• Abstract : Active droplets which can autonomously locomote are of both fundamental interest and of practical importance. We use rigid multiblob method to simulate the dynamic trajectory of droplets near a no-slip wall mobilized by active point-like particles, which can induce hydrodynamic flows on its interface. We find that the simulated trajectories exhibit rich dynamical modes consisting of circular, helical, or petal-like motions, which can be controlled by the initial tilt angles and microswimmer configurations.
• Author(s) : Zheng Yang, Zecheng Gan, Rui Zhang

## [12731] Strong cosmic censorship theorem in Bakry-Emery spacetimes

• Abstract : A class of naked strong curvature singularities is ruled out in Bakry-Emery spacetimes by using techniques of differential topology in Lorentzian manifolds. These spacetimes admit a Bakry-Emery-Ricci tensor which is a generalization of the Ricci tensor. This result supports to validity of Penrose's strong cosmic censorship conjecture in scalar-tensor gravitational theories, which include dilaton gravity and Brans-Dicke theory.
• Author(s) : Makoto Narita

## [12735] Quantum Refractive Index

• Abstract : In this work, we define a quantum refractive index as a scattering function, with hopes of acquiring information unobtainable via electromagnetic waves. We study the scattering of a plane-wave by circular and elliptical disks and spherical and spheroidal regions as models of theoretical materials, for example, a gaseous medium, using potentials represented as Dirac delta functions integral operators. This investigation is conducted by solving analytically the Lippmann–Schwinger equation in the position-representation.
• Author(s) : Matheus Elias Pereira, Alexandre Grezzi de Miranda Schmidt

## [12745] Generalized Choquard Schrodinger equation with vanishing potential in homogeneous fractional Musielak Sobolev spaces

• Abstract : In this work, we discuss the existence of a weak solution for the generalized Choquard Schrodinger equation with vanishing potential. First, we introduce the homogeneous fractional Musielak-Sobolev space and investigate their properties. After that, we discuss the problem in homogeneous fractional Musielak-Sobolev space. To establish our existence results, we prove and use the suitable version of Hardy-Littlewood-Sobolev inequality for Lebesque Musielak spaces together with variational technique based on the mountain pass theorem.
• Author(s) : Shilpa Gupta; Gaurav Dwivedi

## [12751] AN ANALYSIS OF THE INTERACTION EFFECTS OF SOCIOECONOMIC AND DEMOGRAPHIC FACTORS ON COVID-19 IN THE UNITED STATES DURING PRE-VACCINATION PERIOD: EMPIRICAL EVIDENCE FROM NEGATIVE-BINOMIAL REGRESSION MODELS

• Abstract : In this study we analyze the variability in infection and fatality rates due to COVID-19 across the US during the pre vaccination period (January 2020 – December 2020). For a better understanding, the pre vaccination period is divided into two phases based on the sharp rise in COVID-19 deaths and each phase clustered based on infection and fatality rate.We studied the main and interaction effects of several risk factors using Negative Binomial regression modeling.

• Author(s) : Sucharitha Dodamgodage, Dinushani Senarathna, Stephanie Andreescu, , James Greene, Shantanu Sur, Sumona Mondal

## [12755] On smoothing of data using Sobolev polynomials

• Abstract : In this paper, we propose a method to obtain the smooth approximation of data by solving a minimization problem in a function space. Using polynomial basis functions, we project the problem to a finite dimension. Because a polynomial represents the smoothed data, information such as rate of change, extreme values, concavity, etc., can be drawn. Furthermore, interpolation and extrapolation are straightforward. We apply the method on mortality rates, disease, and high-frequency data.
• Author(s) : Rolly Czar Joseph Castillo, Renier Mendoza

## [12759] Nonsmooth nonconvex-nonconcave min-max problems and generative adversarial networks

• Abstract : This talk considers a class of nonsmooth nonconvex-nonconcave min-max problems in machine learning and games. We first provide sufficient conditions for the existence of global minimax points and local minimax points. Next, we establish the first-order and second-order optimality conditions for local minimax points by using directional derivatives. These conditions reduce to smooth min-max problems with Fr´echet derivatives. We apply our theoretical results to generative adversarial networks (GANs) and propose a quasi-Newton subspace trust region
• Author(s) : Xiaojun Chen

## [12769] Strain-mediated motion of transverse domain walls in cubic and isotropic magnetostrictive materials

• Abstract : This work investigates statical and dynamical properties of transverse domain walls in an isotropic and cubic, linearly elastic bilayer piezoelectric-magnetostrictive nanostructures under the framework of the extended Landau-Lifshitz-Gilbert equation, including axial, transverse magnetic fields and spin-polarized electric currents. We derive the explicit expressions of the domain wall profile and velocity for the considered magnetostrictive materials employing the regular perturbation expansion technique. Finally, we numerically illustrate the obtained analytical results for realistic materials.
• Author(s) : Ambalika Halder (Department of Mathematics, School of Sciences, NIT Andhra Pradesh, India), Dr. Sharad Dwivedi (Department of Mathematics, School of Sciences, NIT Andhra Pradesh, India)

## [12786] Two-stage Stochastic Problem Applied to Optimal Power Flow Problem

• Abstract : We can have often difficulties with real data, which can cause a bias in the final results. To avoid that, we can use stochastic programming with a two-stage problem, where first we solve the problem for deterministic variables and then for random variables. In this work we approach a linear programming problem, with a stochastic perspective using an interior-point method for its solution. Application to the optimal power flow problem with demand uncertainty is considered.
• Author(s) : Mariane S Bispo, Aurelio R L Oliveira, Camila B Zeller

## [12791] Representation and use of finite elements in Firedrake.

• Abstract : The finite element method is based on finding approximate weak solutions to variational problems. These solutions live in finite element spaces.

The way we represent and encapsulate the definition of the elements making up the spaces is key to how the software is eventually written and used in the future, as well as its extensibility.

This work will look at how this is done in Firedrake and how it might be improved.

• Author(s) : India Marsden, David A. Ham, Patrick E. Farrell

## [12800] Particular solution to the higher order non-homogeneous Cauchy-Euler equations

• Abstract : We introduce a new concept of atoms on discrete sets to develop an advanced method to find a particular solution for higher order non-homogeneous Cauchy-Euler equations. The proposed method also provides an approximate solution by using approximate roots for the characteristic polynomial of the Cauchy-Euler equation. Moreover, we provide an explicit particular solution for non-homogeneous dynamic Cauchy-Euler equations whose characteristic equations have distinct roots.
• Author(s) : ASSAL Miloud, BELHAJ Skander

## [12807] Stability analysis of convective modulated porous system with source effect

• Abstract : An infinite horizontal fluid saturated porous system heated from below is considered. The system is subjected to thermal modulation and heat generation effect. The Brinkman model and Boussinesq approximation are assumed to govern the fluid flow. The modulation and heat generation effects in the considered system has been determined using Energy method. The resulting Euler-Lagrange equations are solved using higher order Galerkin method. The presence of source is found to destabilize the system.
• Author(s) : M. Meenasaranya, S. Saravanan

## [12812] Solution of split inverse problems using fixed point iterations

• Abstract : This study proposes a new inertial Mann-type Tseng’s extragradient algorithm to approximate the solution of split inverse problems in real Hilbert spaces. We establish strong convergence of the proposed scheme to a minimum norm for monotone and uniformly continuous single-valued operators with self-adaptive step size, provide numerical implementations to illustrate the convergence of our method, and compare it with the non-inertial version and existing related algorithms.
• Author(s) : Olaoluwa Ogunleye, Timilehin O. Alakoya, Oluwatosin T. Mewomo, Olaniyi S. Iyiola

## [12813] Designing good teaching materials to train future applied mathematicians

• Abstract : This poster presents a bundle of activities designed for differential equations instructors to foster cultural competence and mathematical skills in students. We use frameworks of cultural responsiveness to create a diverse and inclusive classroom environment. We introduce the idea of academic agreement and offer best practices for teachers to design similar materials on different topics for different courses, preparing future applied mathematicians for modeling work. This work is submitted to a math education journal.
• Author(s) : Yanping Ma, Gail Tang

## [12855] The effect of demographic stochasticity on two disease transmission in a single population

• Abstract : Using the continuous-time Markov chain modeling approach, we develop and analyze the equivalent stochastic model of an established two-disease model. The stochastic model predicts the possibility of disease extinction even though the deterministic model predicts a continuous infection without any prevention. We also looked at how model parameters affect the model outputs both locally and globally. Finally, using sample paths, we can predict how long an epidemic is likely to last.
• Author(s) : Sunil Maity

## [12858] Inertia-Based Natural Frequency Re-Assignment of a Real Reciprocating Hydrogen Compressor Used in Refineries

• Abstract : Torsional resonance problem of the reciprocating hydrogen compressor used in refinery factory can cause fire and explosion hazards. The events result in manufacturing interruption and hence immense economic loss. Although such problem can be mitigated if shifting or re-assigning the driver-compressor system’s natural frequencies (TNFs) can be achieved, the desired natural frequencies are usually difficult to realize because of the uncertainties involved in the system’s mathematical modelling. In this paper, a torsional resonance problem occurred
• Author(s) : Jin-Wei Liang

## [12873] Bifurcation and Chaotic Behavior of a Discrete-Time Oxygen-Phytoplankton Model

• Abstract : The production of oxygen by phytoplankton photosynthesis is an important phenomenon in the dynamics of the marine ecosystem. The generic oxygen-phytoplankton interacting model is considered. The local stability of steady-states is investigated. Using the center manifold theorem and bifurcation theory, it is proved that the system undergoes co-dimension two bifurcations such as flip and Neimark-Sacker bifurcations. OGY feedback and hybrid control methodology is used to control chaos caused by the emergence of the Neimark-Sacker bifurcation.
• Author(s) : M. Priyanka, P. Muthukumar

## [12874] The effect of directional dispersal of predator on predator-prey model

• Abstract : In this talk, we present the effect of directional dispersal of a predator on a predator–prey model. The prey is assumed to have traits making it undetectable to the predator and difficult to chase the prey directly. Directional dispersal of the predator is described when the predator has learned the high hunting efficiency in certain areas, thereby dispersing toward these areas instead of directly chasing the prey. We investigate the stability of the semi-trivial solution
• Author(s) : Kwangjoong Kim, Wonhyung Choi, Youngseok Chang and Inkyung Ahn

## [12907] On fluid–structure interactions with the Coulomb friction law boundary condition

• Abstract : We propose a model in a fluid–structure interaction system composed by a solid and a viscous incompressible fluid, using Coulomb friction law. The fluid can slip on the boundary if the tangential component of the stress tensor is large. In the opposite case, we recover the Dirichlet condition. The governing equations are the Navier–Stokes system for the fluid and Newton laws for the body. We prove there exists a weak solution and some numerical results.
• Author(s) : Loredana Balilescu, Jorge San Martin, Takeo Takahashi

## [12912] Optimization of compiler using machine learning

• Abstract : The optimization of compilers using machine learning is a field of study that seeks to improve the efficiency and effectiveness of compilers, which are computer programs that translate high-level programming languages into machine code that can be executed by computers. This field uses machine learning techniques to identify patterns and relationships in large datasets of code and compiler behavior, and to develop models that can optimize various aspects of the compilation process.
• Author(s) : Dr. Mukesh Kalla

## [12942] Trajectory controllability of multi-term time-fractional stochastic differential equations

• Abstract : This poster demonstrates the solvability and trajectory controllability of multi-term time-fractional stochastic differential equations driven by Poisson jumps. The existence and uniqueness of the mild solution are addressed through stochastic analysis, fractional calculus, semigroup theory, and fixed point technique. In addition, by defining a suitable feedback controller, the existence of trajectory controllability of the presented system is provided using Gronwall’s inequality.
• Author(s) : K. Anukiruthika, P. Muthukumar