Registered Data

[CT179]

[00438] Network stability in co-evolved spatially-explicit model ecological communities

• Session Date & Time : 3C (Aug.23, 13:20-15:00)
• Type : Contributed Talk
• Abstract : The self-assembly of ecological communities on complex spatial networks from an initial species can be mathematically modelled by a combination of ecological and evolutionary processes. We investigate how the topology of the spatial network influences the structure of the co-evolved populations, and hence the stability of the resulting meta-community of species against perturbations including invasion, extinction, patch removal, and alterations to the spatial environment. In response, different nature reserve configurations can simulate biodiversity conservation strategies.
• Classification : 92-10, 37N25
• Author(s) :
  • Gavin Michael Abernethy (University of Stirling)

[00463] A kinetic model of crowd evacuation dynamics coupled with infectious disease contagion

• Session Date & Time : 3C (Aug.23, 13:20-15:00)
• Type : Contributed Talk
• Abstract : We propose a kinetic theory model coupling crowd evacuation and disease spreading. Movement of individuals is modeled by a description of interactions among individuals. Interactions among healthy and infectious individuals may generate disease spreading if exposure time is long enough. Immunization of the population and awareness to contagion is also considered. The model is qualitatively studied and different scenarios related to gathering formation within indoor venues under the spread of an infectious disease are explored.
• Classification : 92-10, 92C60, 92D30
• Author(s) :
  • Juan Pablo Agnelli (CIEM CONICET & FaMAF Universidad Nacional de Córdoba)
  • Bruno Buffa (FaMAF Universidad Nacional de Córdoba)
  • Damian Alejandro Knopoff (CONICET, Argentina & Intelligent Biodata SL, Spain)
  • German Torres (IMIT CONICET & FaCENA UNNE)

[00620] Development of an ion channel model-framework

• Session Date & Time : 3C (Aug.23, 13:20-15:00)
• Type : Contributed Talk
• Abstract : Ion channels in cell membranes are of ultimate importance in physiology. They control a large fraction of biological processes and are mainly investigated by current-voltage experiments. To support the interpretation of measured results, we develop a model-framework based on non-equilibrium thermodynamics that accounts for various important aspects, e.g., finite-volume effects and the surface charges of the channel. Julia-based numerical simulations are performed to compute current-voltage relations, with varying ion concentrations, applied voltages, and channel properties.
• Classification : 92-10, 92C40, 92-08
• Author(s) :
  • Christine Keller (Weierstrass Institute for Applied Analysis and Stochastics (WIAS))
  • Juergen Fuhrmann (Weierstrass Institute for Applied Analysis and Stochastics (WIAS))
  • Manuel Landstorfer (Weierstrass Institute for Applied Analysis and Stochastics (WIAS))
  • Barbara Wagner (Weierstrass Institute for Applied Analysis and Stochastics (WIAS))

[00677] Mathematical Epidemiology as a decision tool

• Session Date & Time : 3C (Aug.23, 13:20-15:00)
• Type : Industrial Contributed Talk
• Abstract : Mathematics is a powerful tool for tackling real world problems; concretely, we are interested in monitoring epidemics. Some members of the MOMAT Research Group -Complutense University of Madrid- have worked in collaboration with veterinary groups, healthcare companies and public entities of the Spanish healthcare system. In this talk, we present some mathematical models developed by this research group for both animal -e.g., Classical Swine Fever, Bluetongue- and human -e.g., COVID-19, Ebola- infectious diseases.
• Classification : 92-10, 92Dxx, Mathematical Epidemiology
• Author(s) :
  • Alicja B. Kubik (Universidad Complutense de Madrid)
  • Benjamin Ivorra (Universidad Complutense de Madrid)
  • Angel M. Ramos (Universidad Complutense de Madrid)
  • María Vela-Pérez (Universidad Complutense de Madrid)
  • Miriam R. Ferrández (Instituto de Matemática Interdisciplinar)

[00745] Fluid flow and nutrient transport in hollow fibre membrane bioreactors

• Session Date & Time : 3C (Aug.23, 13:20-15:00)
• Type : Contributed Talk
• Abstract : We present an axisymmetric model of fluid flow through a hollow fibre membrane bioreactor for applications in tissue engineering. We derive a reduced model by exploiting the small aspect ratio of bioreactor radius to length. Coupled to a system of reduced-order advection-reaction-diffusion equations for nutrient transport, we reveal how nutrient delivery to cells depends on membrane permeability. We then determine how spatial variations in scaffold permeability can be established to tune nutrient delivery to cells.
• Classification : 92-10, 92C35, 76Z05, 92C50, 76D08, Tissue Engineering
• Author(s) :
  • George Booth (University of Oxford)
  • Mohit Dalwadi (University College London)
  • Cathy Ye (University of Oxford)
  • Pierre-Alexis Mouthuy (University of Oxford)
  • Sarah Waters (University of Oxford)

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[00857] An ecological study of mathematical model on intermittent phytoplankton distribution

• Session Date & Time : 3D (Aug.23, 15:30-17:10)
• Type : Contributed Talk
• Abstract : A microscale ecological study is done using the closure approach to understand the impact of productivity controlled by geographical and seasonal variations on the intermittency of phytoplankton. Parameters are estimated from the nature of productivity and spread of phytoplankton density during field observation done at four different locations of Tokyo Bay. The model validation shows that our results are in good agreement with the field observation and succeeded in explaining the intermittent phytoplankton distribution.
• Classification : 92-10, 92D40, Mathematical Biology
• Author(s) :
  • Sandip Banerjee (Indian Institute of Technology Roorkee)
  • Arpita Mondal (Indian Institute of Technology Roorkee)

[00859] A mathematical model of immunotherapy: CD19 relapses in B leukemia

• Session Date & Time : 3D (Aug.23, 15:30-17:10)
• Type : Contributed Talk
• Abstract : B-cell Acute Lymphoblastic Leukemia (B-ALL) is the most common type of pediatric leukaemia. For relapsing patients, a treatment possibility is chimeric antigenic receptor (CAR)-T cells, which recognize target cells with the antigen CD19, expressed in B-ALL. We show a mathematical model based on partial differential equations and focus on how CAR-T cell therapy can lead to positive or negative CD19 relapses. The analysis presented represents real-life scenarios, where optimal treatment can be studied.
• Classification : 92-10, 37N25, 35Q92
• Author(s) :
  • Salvador Chulián (Department of Mathematics, University of Cádiz)
  • Álvaro Martínez-Rubio (Department of Mathematics, University of Cádiz)
  • Ana Niño-López (Department of Mathematics, Universidad de Cádiz)
  • María Rosa (Department of Mathematics,)

[00894] ODE models relating irrigation to kidney bean yield

• Session Date & Time : 3D (Aug.23, 15:30-17:10)
• Type : Industrial Contributed Talk
• Abstract : Chippewa Valley Bean, located in Wisconsin, USA, is the world’s largest processor of dark red kidney beans and works with farmers over several states. Current trends in farming are pressuring producers to generate higher yields with fewer resources, particularly water resources. This project describes our work creating ODE models that describe the relationship between irrigation inputs, soil parameters, and kidney bean yields that CVB can use to advise farmers for productive yet sustainable practices.
• Classification : 92-10
• Author(s) :
  • Tyler Skorczewski (University of Wisconsin Stout)
  • Keith Wojciechowski (University of Wisconsin Stout)

[01103] Mechanoelectric effects in cardiac function

• Session Date & Time : 3D (Aug.23, 15:30-17:10)
• Type : Contributed Talk
• Abstract : To date the role of the different mechanoelectric feedback $($MEF$)$ mechanisms is not clear in the cardiac function. Using a multiscale $($from cellular to organ level$)$ 3D-0D closed loop fluid-electromechanical framework implemented in the Cardiac Arrhythmia Research Package $($CARP$)$ software, we perform computer simulations to explore the effect of two MEF mechanisms in healthy cardiac function and under the Left Bundle Branch Block pathology.
• Classification : 92-10, 92Bxx
• Author(s) :
  • Argyrios Petras (RICAM-Johann Radon Institute for Computational and Applied Mathematics)
  • Matthias AF Gsell (Medical University of Graz)
  • Christoph M Augustin (Medical University of Graz)
  • Jairo J Rodriguez Padilla (Centre Inria d’Université Côte d’Azur)
  • Alexander Jung (Medical University of Graz)
  • Marina Strocchi (King's College London)
  • Frits Prinzen (Maastricht University)
  • Steven Niederer (King's College London)
  • Gernot Plank (Medical University of Graz)
  • Edward J Vigmond (Liryc, Electrophysiology and Heart Modeling Institute)

[01122] A mathematical model of microtubule assembly and polarity in dendrites

• Session Date & Time : 3D (Aug.23, 15:30-17:10)
• Type : Contributed Talk
• Abstract : The microtubule cytoskeleton is responsible for sustained, long-range intracellular transport of mRNAs and proteins in neurons. However, microtubules must also be dynamic and rearrange their orientation, or polarity, in response to injuries. While mechanisms that control the minus-end out microtubule orientation in Drosophila dendrites have been identified experimentally, it is unknown how these mechanisms maintain both dynamic rearrangement and sustained function. To better understand these mechanisms, we introduce a spatially-explicit mathematical model of dendritic microtubule dynamics using parameters informed by experimental data. We explore several hypotheses of microtubule growth using a stochastic model, and validate such mechanisms with fluorescence experiments. By incorporating biological experiments, our modeling framework can uncover the impact of various mechanisms and parameters on the emergent dynamics and polarity of microtubules in Drosophila dendrites.
• Classification : 92-10
• Author(s) :
  • Anna Nelson (Duke University )
  • Veronica Ciocanel (Duke University)
  • Scott McKinley (Tulane University)

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[01187] Dynamic, data-driven neurodegeneration: Modelling clearance and proteopathy in Alzheimer’s disease

• Session Date & Time : 3E (Aug.23, 17:40-19:20)
• Type : Contributed Talk
• Abstract : The clinical research community has raised the alarm on the importance of studying the role of clearance in Alzheimer’s disease. We heed this alarm by developing and analysing the first network reaction-diffusion dynamical system coupling clearance and proteopathy. Analytical insights, and computational results on high-resolution brain graphs constructed from human data, demonstrate the connections between clearance and neurodegeneration. Our results suggest clearance deficits may play an important role in the onset and trajectory of Alzheimer's.
• Classification : 92-10, 37N25
• Author(s) :
  • Georgia Staf Brennan (University of Oxford)
  • Alain Goriely (University of Oxford)
  • Marie Rognes (Simula Research Laboratory)
  • Travis Thompson (Texas Tech University)
  • Hadrien Oliveri (University of Oxford)

[01189] A Spatially Averaged Model for Platelet Cohesion by Von Willebrand Factor and Fibrinogen

• Session Date & Time : 3E (Aug.23, 17:40-19:20)
• Type : Contributed Talk
• Abstract : Platelet cohesion occurs in response to vessel injury, but the primary mechanism is shear-dependent. Fibrinogen is favored at low shear rates, and Von Willebrand Factor is favored at high shear rates. This talk will present a description of platelet aggregation dynamics in a spatially averaged model, utilizing theory of porous media, chemical kinetics, and force-dependent bond forming and breaking. We will present time-dependent and steady-state results of the underlying drivers of cohesion.
• Classification : 92-10, 92C35, 92E20
• Author(s) :
  • Keshav Patel (University of Utah)
  • Aaron Fogelson (University of Utah)

[01201] How differential geometry and extremum seeking systems reveal the decades- long mystery of optimized flight of soaring birds

• Session Date & Time : 3E (Aug.23, 17:40-19:20)
• Type : Contributed Talk
• Abstract : The optimized flight physics of soaring birds such as albatrosses have always been fascinating to biologists, physicists, mathematicians, and engineers. How can soaring birds fly in that effective way without spending almost any energy? The decades-long literature of the problem has not been successful in providing frameworks that can work in real time similar to the birds themselves. Recently, a breakthrough took place in providing a simple, real time extremum seeking method that characterizes this phenomenon and implements it in real time. Mathematical analysts using differential geometric methods have been successful in supporting these new results.
• Classification : 92-10, 93-10, 93B05, 53Z05
• Author(s) :
  • Sameh Eisa (University of Cincinnati )

[01364] Time-Delay Systems: An Overview

• Session Date & Time : 3E (Aug.23, 17:40-19:20)
• Type : Contributed Talk
• Abstract : Time-delay naturally arises in many real-world systems, due to the fact that the instantaneous rate of change of such systems does not only depend on their current time but rather on their previous history as well. Hence, time-delays are ubiquitous, their introduction often leads to suppression of oscillations, multistability and chaotic motion in the dynamical systems. This talk presents some models with different kinds of time-delays such as discrete, distributed and combination of both discrete and distributed time-delays with special emphasis on the reason of incorporating such delays into the system
• Classification : 92-10, 34D20
• Author(s) :
  • Bootan Rahman (University of Kurdistan Hewler (UKH))

[01644] Optimal epidemic interventions and the trolley problem in heterogeneous populations

• Session Date & Time : 3E (Aug.23, 17:40-19:20)
• Type : Contributed Talk
• Abstract : Interventions to mitigate the spread of infectious diseases, while succeeding in their goal, have economic and social costs associated with them; this limits the duration and intensity of the interventions. We study a class of interventions which reduce the reproduction number and find the optimal strength of the intervention which minimises the number of infections by eliminating the overshoot part of an epidemic, and avoiding a second-wave of infections. We extend the framework to a heterogeneous population and find that the optimal intervention can pose an ethical dilemma for decision and policy makers. This ethical dilemma is shown to be analogous to the trolley problem and we discuss how the problem may be avoided.
• Classification : 92-10, 34A34
• Author(s) :
  • Pratyush Kumar Kollepara (La Trobe University)
  • Rebecca Chisholm (La Trobe University)
  • Istvan Kiss (University of Sussex)
  • Joel Miller (La Trobe University)

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[01734] Towards A Modeling Framework For Pediatric Sickle Cell Pain

• Session Date & Time : 4C (Aug.24, 13:20-15:00)
• Type : Contributed Talk
• Abstract : Sickle cell pain presents in acute episodes in pediatric patients, as opposed to the chronic pain observed in adults. This episodic nature necessitates a distinct approach from those used to model adult pain. Statistical studies have examined interactions between sleep actigraphy measurements and pain levels in pediatric populations, and we propose a dynamic model of pediatric pain that incorporates sleep effects over varying time windows. Our aim is to determine markers of future pain episodes.
• Classification : 92-10, 37N25, 65P99, 62P10
• Author(s) :
  • Reginald McGee (College of the Holy Cross)
  • Angela Reynolds (Virginia Commonwealth University)
  • Quindel Jones (Virginia Commonwealth University)
  • Rebecca Segal (Virginia Commonwealth University)
  • Wally Smith (Virginia Commonwealth University)
  • Cecelia Valrie (Virginia Commonwealth University)

[01908] Quantifying Cytoskeletal Dynamics and Remodeling from Live-imaging Microscopy Data

• Session Date & Time : 4C (Aug.24, 13:20-15:00)
• Type : Contributed Talk
• Abstract : The shape of biological cells emerges from dynamic remodeling of the cell’s internal scaffolding, the cytoskeleton. Hence, correct cytoskeletal regulation is crucial for the control of cell behaviour, such as cell division and migration. A main component of the cytoskeleton is actin. Interlinked actin filaments span the body of the cell and contribute to a cell’s stiffness. The molecular motor myosin can induce constriction of the cell by moving actin filaments against each other. Capturing and quantifying these interactions between myosin and actin in living cells is an ongoing challenge. For example, 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. Extended Optical Flow algorithms also quantify actin recruitment and degradation. However, these measurements on cytoskeletal dynamics may be influenced by noise in the image acquisition, by ad-hoc parameter choices in the algorithm, and by image pre-processing steps. Here, we use in silico data to understand conditions under which Optical Flow is applicable. We found the condition to guarantee the method has a good performance is that the displacement has to be in a proper proportion as the object size. We test our methods using data on actin densities in larval epithelial cells of Drosophila pupae. The development of our Optical Flow method will be a starting point for identifying differences in cytoskeletal movement and remodeling under experimental perturbations. Our method will be applicable to other datasets in which flow fields are present.
• Classification : 92-10, 92-08, 92BXX, 37CXX, 76-10
• Author(s) :
  • Carey Li (University of St Andrews)

[02033] Local and global analysis of HIV-1 model with cell-free and cell-to-cell dissemination of infection

• Session Date & Time : 4C (Aug.24, 13:20-15:00)
• Type : Industrial Contributed Talk
• Abstract : Based on the experimental evidence, we study an in-host HIV-1 infection model, where the healthy CD4+ T cells are infected both by free virus and infected CD4+ T cells, respectively, called cell-free and cell-to-cell mode of infection. We give the local and global stability conditions of disease persistence and eradication. Further, the role of antiviral drugs is also investigated in viremia.
• Classification : 92-10, 34D23
• Author(s) :
  • Sukhen Das (Jadavpur University)
  • Nandadulal Bairagi (Jadavpur University)

[02679] Quantifying the Effect of Elexacaftor/Tezacaftor/Ivacaftor on Insulin Secretion

• Session Date & Time : 4C (Aug.24, 13:20-15:00)
• Type : Contributed Talk
• Abstract : The medication elexacaftor/tezacaftor/ivacaftor $\text{(ETI)}$ effectively reduces pulmonary symptoms in individuals with cystic fibrosis $\text{(CF)}$, but its impact on glucose metabolism is unclear. To assess ETI’s effect on insulin secretion, we infer a distribution of continuous insulin secretion rate $\text{(ISR)}$ profiles using oral glucose tolerance test C-peptide data from participants with CF before and after ETI initiation. We propose a novel hybrid differential equations/log-Gaussian process model to enforce physiological non-negativity of ISR estimates.
• Classification : 92-10, 92C32, 92C50, 37N25, 60G15
• Author(s) :
  • Justin Garrish (Colorado School of Mines)
  • Christine Chan (University of Colorado Anschutz Medical Campus)
  • Douglas Nychka (Colorado School of Mines)
  • Cecilia Diniz Behn (Colorado School of Mines)

[02680] An analysis of a model of fear in disease transmission

• Session Date & Time : 4C (Aug.24, 13:20-15:00)
• Type : Contributed Talk
• Abstract : A model for disease transmission has been proposed that includes fear response both to disease and vaccine. It has been shown numerically that public health restrictions can create a bifurcation in the final size of the epidemic. In this talk we analyze this model to determine analytic conditions for stability and bifurcations to final disease size. We modify the model with additional terms such as adverse reactions from disease and a double-fear compartment.
• Classification : 92-10, 92D30, 91D30, 91F99
• Author(s) :
  • Iain Moyles (York University)
  • Rebecca Tyson (University of British Columbia Okanagan)
  • Avneet Kaur (University of British Columbia Okanagan)

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[02702] A mathematical model of cell expansion for cultivated meat production

• Session Date & Time : 4D (Aug.24, 15:30-17:10)
• Type : Contributed Talk
• Abstract : Cultivated meat represents a cruelty-free alternative to conventional production methods of animal protein. However, it currently faces pressing technological challenges that curtail its commercial viability. To facilitate its industrial scale-up, we propose a mathematical model of metabolism of a stem cell expansion system, a key step in the production of lab-grown meat. We evaluate our model with numerical simulations and perform a global parameter sensitivity analysis to gain further insights about our system
• Classification : 92-10, 92C75, 92B05
• Author(s) :
  • Julia Krol (Mathematical Institute, University of Oxford)
  • Sarah Waters (Mathematical Institute, University of Oxford)
  • Hua (Cathy) Ye (Department of Engineering, Univeristy of Oxford)
  • Akin Odeleye (Ivy Farm Technologies)

[00116] Multi-Scale Modelling of three phase lag (TPL) of lung cancer during cryosurgery

• Session Date & Time : 4D (Aug.24, 15:30-17:10)
• Type : Contributed Talk
• Abstract : On the basis of the study of cryosurgery with mathematical modelling we discuss about the study related to non-Fourier bio-heat transfer available numerically with various boundary conditions for frozen and non frozen region. By the CAD/ANSYS study a specific region is developed for the tumor detected area. We’ll elaborate three phase lag (TPL) bio-heat transfer model to analysis of the temperature distribution in living tissue. By this work of mathematical modelling of cryosurgery in lung cancer to elaborate the knowledge of TPL bio-heat model by using numerical methods.
• Classification : 92-XX, 92Bxx, 92B05
• Author(s) :
  • Sarita Singh (Doon University Dehradun Uttarakhand IndiaDoon University Dehradun Uttarakhand )

[00691] GROWTH TUMOR, PROLIFERATION AND DIFFUSION IN CELL LINES OF OSTEOSARCOMA

• Session Date & Time : 4D (Aug.24, 15:30-17:10)
• Type : Contributed Talk
• Abstract : Osteosarcoma is a bone cancer. According to medical studies, it has a high genetic complexity, with different mechanisms of appearance and evolution. Our goal is to describe how is the diffusive behavior of cell lines at early times, that is, times close to the instant of inoculation and when the volumes are still small compared to the largest experimental volume reached by the cell lines studied.
• Classification : 92-XX, 92Bxx, 92B05, Biomathematics
• Author(s) :
  • Maria Isabel Romero Rodriguez (Universidad Militar Nueva Granada)
  • María Isabel Romero Rodríguez (Universidad Militar Nueva Granada)
  • Eduard Leonardo Sierra Ballén (Universidad Militar Nueva Granada )
  • Juan Camilo Vargas Pino (Universidad Militar Nueva Granada)