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Contents

[CT180]

[00035] Effects of toxicity and zooplankton selectivity under seasonal pattern of viruses on plankton dynamics

  • Session Date & Time : 3C (Aug.23, 13:20-15:00)
  • Type : Contributed Talk
  • Abstract : A mathematical model for the interacting dynamics of phytoplankton-zooplankton is proposed. The phytoplankton have ability to take refuge and release toxins to avoid over predation by zooplankton. The zooplankton are provided some additional food to persist in the system. The phytoplankton are assumed to be affected directly by an external toxic substance whereas zooplankton are affected indirectly by feeding on the affected phytoplankton. We incorporate seasonal variations in the model, assuming the level of nutrients, refuge and the rate of toxins released by phytoplankton as functions of time. Our results show that when high toxicity and refuge cause extinction of zooplankton, providing additional food supports the survival of zooplankton population and controls the phytoplankton population. Prey refuge and additional food have stabilizing effects on the system; higher values of the former results in extinction of zooplankton whereas phytoplankton disappear for larger values of the latter. Seasonality in nutrients level and toxins released by phytoplankton generates higher periodic solutions while time-dependent refuge of phytoplankton causes the occurrence of a period-three solution. The possibility of finding additional food for zooplankton may push back the ecosystem to a simple stable state from a complex dynamics.
  • Classification : 92B05, 92D25, 92D30, 37A50, 34D05
  • Author(s) :
    • Samares Pal (University of Kalyani)

[00056] Dead or Alive: Integrating Disease and Ecosystem Ecology Theory

  • Session Date & Time : 3C (Aug.23, 13:20-15:00)
  • Type : Contributed Talk
  • Abstract : Disease-induced death is integral to the dynamics of many host populations. Dead hosts in disease models typically exit the system, disappearing into a void. This assumption lacks critical realism: empirical work demonstrates that dead hosts can alter host-pathogen dynamics and interactions through a variety of pathways. Here, we develop a carbon-based model, combining disease and ecosystem perspectives to investigate the consequences of feedbacks between living and non-living hosts. We focus on two pathways, direct transmission from diseased hosts and suppression of host growth by dead host mass. Because autotrophs are a critical link for carbon cycling, we develop parameter sets describing disease of autotrophic hosts in several aquatic and terrestrial ecosystem types. We found that when dead hosts transmit pathogens, host decomposition rate was integral to pathogen spread. Carbon fluxes and pools among live, dead, and decomposed biomass also were sensitive to pathogen-induced changes in host growth or death rates. Dynamics in aquatic systems were generally faster than in terrestrial systems, and with increasing host growth rate, disease induced shorter transient dynamics and higher infection prevalence. Thus, disease models explicitly recognizing the dynamic roles of hosts after death will provide novel insights for the ecology of infectious disease.
  • Classification : 92B05
  • Author(s) :
    • Lale Asik (University of the Incarnate Word)
    • Eric Seabloom (University of Minnesota)
    • Angela Peace (Texas Tech University)
    • Rebecca Everett (Haverford College)

[00097] Optimal control of pollution rate in a spatiotemporal bioeconomic model concerning phytoplankton-zooplankton

  • Session Date & Time : 3C (Aug.23, 13:20-15:00)
  • Type : Contributed Talk
  • Abstract : The management of plankton production constitutes a major challenge for the development of aquaculture. To attend this objective, chlorophyll-a, a pigment present in all photosynthetic organisms, is generally and historically used as an estimator of the biomass of planktonic organisms. In this work, we use the data of chlorophyll-a and we choose two controls strategies to minimize the pollution mortality rate. By using Sea-Das software we obtain raster maps. These maps show the distribution of Chlorophyll-a in Moroccan maritime areas throughout the month of May 2019 and 2020. We notice that we choose these two maps precisely because we noticed that, during the international lockdown period (caused by Covid-19 pandemic), a significant number of marine resources have come to light. The aim purpose of this article is to proposeand analyze mathematically a bioeconomic model of plankton organism taking into account the negative effect of pollution. We seek to control the mortality pollution rate and to clarify the impact of the pollution in the reproduction of marine populations.
  • Classification : 92B05, 91B02, 91B06, 91B50
  • Author(s) :
    • Imane Agmour (Hassan II University)
    • Soukaina Benrhila (Hassan II University)

[00298] A mathematical model for new biomarkers in prostate cancer

  • Session Date & Time : 3C (Aug.23, 13:20-15:00)
  • Type : Contributed Talk
  • Abstract : Prostate cancer is the fourth most diagnosed cancer subtype in the world and the most common among men. The high mortality related to the disease can be explained by the difficulty of detecting it in its early stage. The objective of this work is to build a mathematical model to assist in the characterization of a new panel of biomarkers for prostate cancer, aiming to predict the chance of an individual to develop the disease.
  • Classification : 92B05, 92-10, 92Bxx
  • Author(s) :
    • Paulo F. A. Mancera (UNESP)
    • Marta H. Oliveira (UFU)
    • Thaise G. Araujo (UFU)
    • Maria E. Antunes (UNESP)

[00300] Coupling macro-micro simulations in complex fluids

  • Session Date & Time : 3C (Aug.23, 13:20-15:00)
  • Type : Contributed Talk
  • Abstract : Some of the most remarkable properties and functions served by some complex fluids originate from the interplay between external fields and microstructural dynamics. From a computational point of view this generates a set of challenges related to the need of coupling dynamics at different length and times scales, sometimes spanning several orders of magnitude. Micro-macro simulations have gained a lot of recognition within the field because these methods allow capturing full dynamics at the macroscale without losing resolution at the microscale. In this talk, we will review our efforts to couple existing macroscopic solvers for the Navier-Stokes equations with microstructural dynamics described by Langevin-type equations. In particular, we will discuss dumbbells models -under viscometric and capillary thinning flows fields- and parallel computing using GPUs.
  • Classification : 92B05, 76A05, 76A10, 76D05, 97M60
  • Author(s) :
    • Paula A Vasquez (University of South Carolina)
    • Michael Cromer (RIT)

[00480] Mathematics, the Mind and Alzheimer's disease: Systematical progression on brain graphs

  • Session Date & Time : 3D (Aug.23, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : Neurodegenerative diseases, Alzheimer's disease (AD) in particular, present a clear challenge to modern medicine due to brain delicate in vivo environment and limited insight from the human whole nervous system. Mathematical network models of dementia, such as AD, offer a path forward that can be deployed using the multitude of anatomical brain-graph data from real human patients. The dynamical processes of the model support front-like propagation on networks, where an initial localized perturbation grows and systematically invades all nodes in the network. The main question is to understand its overall dynamics. For instance, if a process starts at a seed location, how long will it take to appear at other locations, and then develop through a full-scale invasion, leading to dementia for the brain? The arrival-time problem, that consists in determining the time it takes for a quantity of interest to reach a certain level at each node, greatly depends on the coupling dynamics between nodes. In this talk, I address a question to extract estimates for the dynamics motivated by the study of toxic protein propagation in neurodegenerative diseases: if a single node is seeded at a small concentration, when will other nodes reach the same initial concentration? My research demonstrates that different estimates can give their important insights to understand the dynamics and, in particular, analytical methods to estimate and compute the arrival times are extremely powerful and can capture essential features in AD.
  • Classification : 92B05, General biology and biomathematics
  • Author(s) :
    • Prama Setia Putra (Mathematical Institute, University of Oxford)
    • Prama Setia Putra (Mathematical Institute, University of Oxford)
    • Alain Goriely (Mathematical Institute, University of Oxford)

[00537] Assessing potential insights of an imperfect testing strategy for COVID-19

  • Session Date & Time : 3D (Aug.23, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : A deterministic model has been proposed to investigate the potential consequences of an imperfect testing strategy for COVID-19 in India. The study says that if the testing rate is increased by 20% and 30% from its baseline value, the new cases at the peak decrease by 37.63% and 52.90%, and it also delays the peak time by four and fourteen weeks, respectively. The testing rate is found more significant if testing efficacy is high.
  • Classification : 92B05, 34D05, 37N25, 92-10, 34C23, Biomathematics
  • Author(s) :
    • Sarita Bugalia (Central University of Rajasthan, India)

[00697] Vicsek-Kuramoto system in collective dynamics and their macroscopic equations

  • Session Date & Time : 3D (Aug.23, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : In this project we investigate a 'Vicsek-style' model, where noisy self-propelled particles align orientation and angular velocity through interaction with their neighbours. This work has been inspired by the model introduced by Chen, C. et al. Nature (2017) to describe the behaviour of dense colony of bacteria, which self-organize into robust collective oscillatory motion. The main focus is to investigate how individual-level behaviours influence the emergence of macroscopic patterns.
  • Classification : 92B05, 82C31
  • Author(s) :
    • Carmela Moschella (University of Vienna )

[00713] Mathematical Modeling of Lymphatic Filariasis-Buruli ulcer co-infection

  • Session Date & Time : 3D (Aug.23, 15:30-17:10)
  • Type : Industrial Contributed Talk
  • Abstract : A mathematical model for Lymphatic Filariasis -Buruli ulcer co-infection is explored to provide a theoretical analysis of the disease's dynamics. The disease free equilibrium is proved to be locally asymptotically stable; the model was found to be showing transcritical and backward bifurcation, time dependent controls are incorporated to obtain necessary conditions for optimal control of the diseases. Numerical simulation results suggest best strategy in controlling the diseases is using all the controls at the same time.
  • Classification : 92B05, 37G10
  • Author(s) :
    • Helen Olaronke Edogbanya (Federal University Lokoja, Kogi State)
    • Helen Olaronke Edogbanya (Federal University Lokoja)
    • Zamurat Ayobami Adegboye (Institute of Mathematical and Physcical Sciences, IMSP-UAC, Dangbo)

[00725] Role of CXCL12 in regulation of T cell invasion

  • Session Date & Time : 3D (Aug.23, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : In this study, we investigate the mutual interactions between the CD8+ T cells and the CXCL12 that prevent T cell invasion by developing mathematical models that involve taxis-reaction-diffusion. We apply the mathematical model to a Boyden invasion assay used in the experiments to demonstrate that the over-expressed CXCL12 can prevent T cell infiltration into tumor. Moreover, we consider tumor-immune dynamics by a hybrid approach and investigate the fundamental mechanism of cytokine shield.
  • Classification : 92B05, 92C17, 92C45, 92C50
  • Author(s) :
    • Junho Lee (Konkuk University)
    • Yangjin Kim (Konkuk University)
    • Chaeyoung Lee (Korea University)

[00828] Role of NK cells in regulation of lung cancer progression

  • Session Date & Time : 3E (Aug.23, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : Tumor-associated neutrophils (TANs) and STAT signaling can stimulate or inhibit tumor growth. We developed and analyzed a mathematical model to address the issues of phenotypic transition and nonlinear regulation of NK cells, thus tumor dynamics, in response to various biochemical stimuli. Several optimal tumor prevention strategies including NK cells and Ionizing radiation have been developed to slow tumor growth. Therefore, We suggested how the optimal combination of anticancer treatments.
  • Classification : 92B05, 92-04, 92-10, Mathematical Biology
  • Author(s) :
    • Donggu Lee (Konkuk University)

[00927] Bone marrow stem cells and exosomes control doxorubicin-induced CRCC: A mathematical model

  • Session Date & Time : 3E (Aug.23, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : Doxorubicin (DOX), a widely used chemotherapeutic agent, can cause neurodegeneration in the brain, which leads to cancer-related cognitive changes (CRCC). In fact, CRCC is a deteriorating condition which adversely affects the day-to-day life of cancer survivors. Recent studies reported that bone marrow mesenchymal stem cells (BMSCs) and exosome may significantly affect the CRCC conditions in a combination therapy (DOX+Exosome). In this study, we investigate the interaction among intracellular signaling (NFκB-Bcl-2-BAX), DOX, exosome, and IL-6.
  • Classification : 92B05
  • Author(s) :
    • hyungchul Kim (Konkuk University)
    • Donggu Lee (Konkuk University)
    • Haneol Cho (Konkuk university)
    • Junho Lee (Konkuk University)
    • Yangjin Kim (Konkuk University)

[00931] The vaginal microbiota and its association with Chlamydia infection

  • Session Date & Time : 3E (Aug.23, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : Chlamydia trachomatis is the most common bacterial sexually transmitted infection in the U.S. While genital chlamydia infection can beget devastating pathologies, it is unclear why some women are more likely to develop severe infections but others are asymptomatic or remain uninfected after exposure to C. trachomatics. We use mice as a model organism, seek to evaluate the potential impact of the time of day of pathogen exposure on the genital tract microbiome in chlamydia infection.
  • Classification : 92B05, 92C70
  • Author(s) :
    • Lihong Zhao (University of California Merced)
    • Lihong Zhao (University of California Merced)

[01160] A mathematical study of cancer and radiotherapy towards personalized medicine

  • Session Date & Time : 3E (Aug.23, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : We present a mathematical model that describes the growth of a tumor mass, considering the interaction between the microenvironment abiotic factors and the epigenetic composition of the cancer cell population. We show the dynamics of its effects on radiotherapy treatment. Results reveal the predictive and diagnostic value of the use of mathematical models as an aid to the medical image in outlining patient-specific therapeutic protocols and optimizing the effectiveness and relapse control.
  • Classification : 92B05, 65M60
  • Author(s) :
    • Giulia Chiari (Politecnico di Torino)

[01193] Cost-effectiveness and Public Health Impact of HPV Vaccination Strategies with consideration of cross-immunity in Japan

  • Session Date & Time : 3E (Aug.23, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : We assessed the epidemiological and economic impact of potential health advantages of the HPV vaccination in Japan among girls and boys of ages 12–16. An age-structured mathematical model of HPV transmission was constructed. Compared to halted vaccination, girls-only vaccination programs with either 4vHPV or 9vHPV are cost-effective, but gender-neutral vaccination programs are less so. Adding boys to an existing successful girls-only program is not cost-effective since men are protected by herd immunity.
  • Classification : 92B05
  • Author(s) :
    • Wongyeong Choi (Soongsil University)
    • Eunha Shim (Soongsil University)

[01212] Studying relationship between glucose update and calcium homeostasis in cardiomyocytes

  • Session Date & Time : 4C (Aug.24, 13:20-15:00)
  • Type : Industrial Contributed Talk
  • Abstract : Calcium concentration is crucial in physiological cardiac processes and significantly impacts heart function. Diabetic cardiomyopathy is marked by dysregulation of calcium oscillations due to prolonged elevated blood glucose levels. A mathematical model was developed to capture the relationship between glucose uptake and calcium cycling in cardiomyocytes. A time delay was introduced to incorporate the time involved in various intermediate processes. The effect of random translocation of GLUT4 was also studied.
  • Classification : 92B05, 92C40
  • Author(s) :
    • Samrat Chatterjee (THSTI)

[01448] Influence of induced plant volatile and refuge in tritrophic model

  • Session Date & Time : 4C (Aug.24, 13:20-15:00)
  • Type : Contributed Talk
  • Abstract : Induced volatile has an important role in plant, herbivorous insect and carnivorous enemy interaction. Attraction rate of volatile, influences the immigration rate of carnivores. Herbivores take refuge mechanism to protect themselves from carnivore. Keeping in mind, we proposed a Tritrophic Model of plant-herbivore- natural enemy along with constant proportion of herbivore refuge. Analytical as well as numerical computations with real field data indicate that attraction rate of plant volatile and herbivore refuge enhance system stability.
  • Classification : 92B05, General biology and biomathematics
  • Author(s) :
    • DIPAK KUMAR KESH (JADAVPUR UNIVERSITY)
    • RITWIKA MONDAL (JADAVPUR UNIVERSITY)

[01463] Chemical Signalling and Pattern Formation in Predator-Prey Models

  • Session Date & Time : 4C (Aug.24, 13:20-15:00)
  • Type : Contributed Talk
  • Abstract : Random movement of species is well documented to put forward Turing instability in predator-prey models . On the other hand recent studies suggest that directed movement of species known as direct taxis leads to stabilization of steady state and no patterns emerge. However the importance of chemical cues in predator-prey interactions is still a topic of contention among ecologists. Source of chemicals to which prey species respond often originate as cues released by the predators which lead to directed movement of prey individuals opposite to the concentration of chemicals. This movement of prey individuals opposite to the gradient of chemical is known as indirect predator taxis. This talk will introduce an advection-reaction-diffusion mathematical model to understand the impact of chemical induced anti-predation defense in a special class of predator-prey system. The reaction part considers Schoener's model of intraguild-predation which has no periodic solution. We will discuss uniqueness and existence of classical solutions, linear stability analysis results and conditions for the pattern formation. We will show that random diffusion forces constant steady state to be stable and only directed movement of prey individuals has ability to destabilizes the constant steady state and spatio-temporal patterns emerge. We numerically show emergence of spatio-temporal patterning that depicts the tendency to spatio-temporal separation between prey and predators.
  • Classification : 92B05, Mathematical Biology, Partial Differential Equations
  • Author(s) :
    • Purnedu Mishra (Norwegian University of Life Sciences Norway)
    • Prof. Darius Wrzosek (Norwegian University of Life Sciences)

[01630] Analysis of blood flow through multiple stenoses in a narrow artery

  • Session Date & Time : 4C (Aug.24, 13:20-15:00)
  • Type : Contributed Talk
  • Abstract : A study of the effects of blood flow parameters in narrow arteries having multiple stenoses is made here, where the blood is considered as a non-Newtonian Kuang-Luo (K-L) fluid model, with no-slip conditions at the arterial wall. In fact, the main properties of K-L fluid model are that the plasma viscosity and yield stress play a very important role. These parameters make this fluid remarkably similar to blood, however, when we change these parameters the flow characteristics change significantly. We have derived a numerical expression for the blood flow characteristics such as resistance to blood flow, blood flow rate, axial velocity, and skin friction. These numerical expressions have been solved by MATLAB 2021 software and discussed graphically. Furthermore, these results have been compared with Newtonian fluid and observation made that resistance to blood flow and skin friction is decreased when blood is changed from non-Newtonian to Newtonian fluid.
  • Classification : 92B05, 92C30, 76Z05
  • Author(s) :
    • Sanjeev Kumar (Dr. Bhimrao Ambedkar University, Agra)
    • Rashmi Sharma (Dr. Bhimrao Ambedkar University)
    • Amendra Singh (Dr. Bhimrao Ambedkar University)

[01804] Spatiotemporal dynamics of a predator-prey system with fear effect

  • Session Date & Time : 4C (Aug.24, 13:20-15:00)
  • Type : Contributed Talk
  • Abstract : We studied a mathematical model with fear effect due to predator population. The model is investigated from the viewpoint of stability and bifurcation analysis. We investigate how behavioral modification in prey population due to fear for predators and mutual interference among predator species can create various spatiotemporal pattern formation in population distribution. Numerical simulation demonstrates that the fear effect in a diffusive predator-prey system with mutual interference may exhibit complicated dynamics.
  • Classification : 92B05, 92B20, 65L05, 37D05, 03C45
  • Author(s) :
    • Subhas Khajanchi (Presidency University Kolkata)

[01815] Time-fractional SVIR chicken-pox mathematical model with quarantine compartment

  • Session Date & Time : 4D (Aug.24, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : This work considers a time-fractional SVIR chicken-pox reaction-diffusion model with nonlinear diffusion operators. The model also contains the quarantine compartment and therefore, it consists of five unknown variables. Further suitable initial and boundary conditions are also given along with the model. The existence of weak solutions proved for the proposed time-fractional model in the bounded domain with appropriate assumptions and a-priori energy estimates. The main results of the work demonstrated using the Faedo-Galerkin method and approximation problem. Finally, numerical simulations are provided to understand the evolution of the chicken-pox virus among the population.
  • Classification : 92B05, 35K57, 35A01
  • Author(s) :
    • Shangerganesh Lingeshwaran (National Institute of Technology Goa)
    • Hariharan Soundararajan (National Institute of Technology Goa)
    • Manimaran Jeyaraj (Vellore Insitute of Technology)

[01816] Optimal-control problem for a fractional order chickenpox mathematical model

  • Session Date & Time : 4D (Aug.24, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : In our modern world, we are still fighting against the 19th-century varicella virus. Researchers made many studies to prevent individuals from chickenpox, but still, it is spreading because of its high transmission rate. To study and overcome this, we introduce a model of SIQVR type having a quarantine compartment. The well-posedness and the stable nature are explored. Further, the optimal-control technique is applied to control the spread of the virus. Finally, numerical simulations are performed.
  • Classification : 92B05, 49J15, 34D20, 34A08
  • Author(s) :
    • Hariharan Soundararajan (National Institute of Technology Goa)
    • Shangerganesh Lingeshwaran (National Institute of Technology Goa)

[02174] A mathematical model to predict how obesity raises the risk of diabetes

  • Session Date & Time : 4D (Aug.24, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : Nowadays, obesity is a serious global issue. Obesity increases the risk of developing significant health issues like diabetes, cancer, and heart attacks. This work tries to depict the link between pancreatic damage, blood insulin levels, and blood glucose in a mathematical model. The model also illustrates how the increased obesity index raises diabetes risk. Additionally, we incorporated a delay term in the model to depict insulin production lag brought on by dysfunctional beta-cells due to obesity. We analytically analyzed both delay and non-delay models. Moreover, numerical simulations are demonstrated to support the theoretically-based analysis.
  • Classification : 92B05, 34H05, 34D05
  • Author(s) :
    • Parimita Roy (Thapar Institute of Engineering and Technology)
    • Ani Jain (Thapar Institute of Engineering and Technology)

[02227] A discrete-time competition model of Ricker type with reproductive delay

  • Session Date & Time : 4D (Aug.24, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : We study a discrete-time competition model of Ricker type with reproductive delay. The model is examined under the assumption that species 1 and 2 have the same vital rates except that a fraction of species 1 individuals delays the initiation of reproduction. This assumption ensures that species 2 can always increase whenever species 1 can increase. This study shows that, even under this situation, species 1 can eliminate species 2 if the population is fluctuating.
  • Classification : 92B05, 37N25, 39A60, 92D40, 92D25
  • Author(s) :
    • Ryusuke Kon (University of Miyazaki)

[02250] Stability analysis of the fractional predator-prey model with obese prey

  • Session Date & Time : 4D (Aug.24, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : In this paper, we concerned the stability nature for fractional order prey-predator model with four species as strong and weak predator as well as normal and obese prey. The proposed model has significant implications in understanding and managing ecological systems. First, the well-posses of the solution for a described model is stated. Further, the local and global stability of the proposed model is investigated. Moreover, numerical simulations are provided to demonstrate the model's behaviour.
  • Classification : 92B05, 34E10, 34D20, 34D05, 34D23
  • Author(s) :
    • HALET ISMAIL (National Institute of Technology Goa)
    • Shangerganesh Lingeshwaran (National Institute of Technology Goa)

[02486] Spatio-temporal dynamics of an SIS epidemic model with non-local infection

  • Session Date & Time : 4E (Aug.24, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : A reaction-diffusion SIS model is studied with nonlinear incidence and nonlocal disease transmission. The endemic equilibria appear via a saddle node bifurcation due to nonlinear incidence rate. The heterogeneous steady state may become homogeneous steady state or space-time oscillatory in presence of nonlocal infection. The region of homogeneous disease free steady state in the Hopf domain increases with the extent of nonlocal disease transmission. Long transient dynamics and the corresponding power law are verified.
  • Classification : 92B05, 37N25, 35K57, 35R09, 34D23
  • Author(s) :
    • DHIRAJ KUMAR DAS (Indian Institute of Technology Kanpur, Kanpur-208016, Uttar Pradesh)
    • S. Ghorai (Indian Institute of Technology Kanpur, Kanpur-208016, Uttar Pradesh)
    • Malay Banerjee (Indian Institute of Technology Kanpur, Kanpur-208016, Uttar Pradesh)

[02508] Mathematical modeling of information and saturated treatment on disease prevalence

  • Session Date & Time : 4E (Aug.24, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : This study accounts for the impact of controls as information-based vaccination and limited treatment on the control of infectious diseases. The model exhibits rich and complex insights: stability switches and various bifurcations. The optimal control system accentuates that the comprehensive use of controls reduces the severity of the disease and economic costs. We infer that the treatment is more effective for a mild epidemic, while the information-induced vaccination is more efficient for a severe epidemic.
  • Classification : 92B05, 92-10, 34D20, 93D30, 49J15
  • Author(s) :
    • Anuj Kumar (Thapar Institute of Engineering and Technology, Patiala, India)

[02150] Dynamics of Complex Biological Leukemia Model: Mathematical and Simulation Approach

  • Session Date & Time : 4E (Aug.24, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : In this paper, we propose a fractional order model of leukemia in terms of a system of ordinary nonlinear differential equations with the Caputo derivative that provides convenience for initial conditions of the differential equations. Firstly, we prove the global existence, positivity, and boundedness of solutions. The local stability analysis has been done by using fractional Routh-Hurwitz stability criterion. Furthermore, a suitable Lyapunov functions are constructed to show the global stability of the system. Finally, computer simulation of the model are presented to describe our theoretical results for different choices of fractional order of derivative α. Then, we can highlight the effect of fractional derivative α on the dynamics of the model states.
  • Classification : 92B10, Mathematical Biology
  • Author(s) :
    • Kalyan Das (National Institute of Food Technology Entrepreneurship and Management (NIFTEM) )

[02039] Intelligent Computing Models for Super-large Protein Complex Prediction

  • Session Date & Time : 4E (Aug.24, 17:40-19:20)
  • Type : Contributed Talk
  • Abstract : Improved from our Fast Fourier Transform based prediction methods, recently we have designed new artificial intelligence enhanced computing models to predict the super-large protein complex structures, which can give out results from monomer sequences and show good results and promise advances.
  • Classification : 92B20, 68T07
  • Author(s) :
    • Xinqi Gong (Renmin University of China)

[02330] Representation Learning for Continuous Single-cell Biology with Graph Neural Networks

  • Session Date & Time : 4E (Aug.24, 17:40-19:20)
  • Type : Contributed Talk
  • 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.
  • Classification : 92B20, 68T05, Machine Learning, Bioinformatics
  • Author(s) :
    • Chengkai Yang (The University of Tokyo)