Registered Data

[CT179]

  • Session Time & Room
    • CT179 (1/3) : 3C @A511 [Chair: Damian Alejandro Knopoff]
    • CT179 (2/3) : 3D @A511 [Chair: Tyler Skorczewski]
    • CT179 (3/3) : 3E @A511 [Chair: Sameh Eisa]
  • Classification
    • CT179 (1/3) : Biology and other natural sciences (92-)
    • CT179 (2/3) : Biology and other natural sciences (92-) / Miscellaneous topics in partial differential equations (35R) / Physiological, cellular and medical topics (92C)
    • CT179 (3/3) : Biology and other natural sciences (92-) / Systems theory; control (93-)

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

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @A511
  • 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
  • Format : Talk at Waseda University
  • 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 Time & Room : 3C (Aug.23, 13:20-15:00) @A511
  • 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
  • Format : Talk at Waseda University
  • 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 Time & Room : 3C (Aug.23, 13:20-15:00) @A511
  • 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
  • Format : Talk at Waseda University
  • 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)

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

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @A511
  • 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
  • Format : Online Talk on Zoom
  • Author(s) :
    • Gavin Michael Abernethy (University of Stirling)

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

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @A511
  • 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
  • Format : Online Talk on Zoom
  • 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)

[00894] ODE models relating irrigation to kidney bean yield

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @A511
  • 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
  • Format : Talk at Waseda University
  • Author(s) :
    • Tyler Skorczewski (University of Wisconsin Stout)
    • Keith Wojciechowski (University of Wisconsin Stout)

[01103] Mechanoelectric effects in cardiac function

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @A511
  • 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
  • Format : Talk at Waseda University
  • 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)

[02222] Unfolding operator in Heisenberg group and its applications

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @A511
  • Type : Contributed Talk
  • Abstract : After the development of multi-scale convergence in the 1990s, the periodic unfolding approach is one of the most effective methods for studying multi-scale problems like homogenization in the Euclidean setup. This talk will discuss the periodic unfolding operator in the Heisenberg group. Analogous to the Euclidean unfolding operator, we prove all the required properties. We apply the unfolding operator to homogenize an optimal control problem subject to a state equation having high contrast diffusive coefficients.
  • Classification : 35Rxx
  • Format : Talk at Waseda University
  • Author(s) :
    • Abu Sufian (TIFR- Centre for Applicable Mathematics)
    • Akambadath Keerthiyil Nandakumaran (Indian Institute of Science, Bangalore, India)

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

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @A511
  • 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
  • Format : Online Talk on Zoom
  • 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,)

[00191] Two-Phase Modelling of Subcutaneous Injection of Drugs

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @A511
  • Type : Contributed Talk
  • Abstract : Various drugs and vaccines are administered through the subcutaneous pathway. The adipose cells within the subcutaneous layer impart structural anisotropy. We address the mechanical response of the adipose tissue in terms of the computed stress fields to understand the pain a patient realizes. Tissue anisotropy instigates the interstitial fluid to generate one or more eddies. Eddies help a low viscous injected drug homogenize when the skin pinching height is high at the injection apply area.
  • Classification : 92C35, 92B05, 92C50, 35B20, 92-10, Mathematical Modeling of Problems on Biological Phenomena
  • Format : Online Talk on Zoom
  • Author(s) :
    • Bibaswan Dey (Department of Mathematics, University of North Bengal)
    • Abdush Salam Pramanik (Department of Mathematics, University of North Bengal)
    • Timir Karmakar (Department of Mathematics, National Institute of Technology Meghalaya, India)
    • Kalyan Saha (Department of Mathematics, University of North Bengal)

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

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @A511
  • 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
  • Format : Talk at Waseda University
  • Author(s) :
    • Sameh Eisa (University of Cincinnati )

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

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @A511
  • 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
  • Format : Online Talk on Zoom
  • Author(s) :
    • Pratyush Kumar Kollepara (La Trobe University)
    • Rebecca Chisholm (La Trobe University)
    • Istvan Kiss (University of Sussex)
    • Joel Miller (La Trobe University)

[00469] A Mathematical and Exploratory Data Analysis of Malaria Disease Transmission Through Blood Transfusion

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @A511
  • Type : Contributed Talk
  • Abstract : Malaria is a mosquito-borne disease spread by an infected vector (infected female Anopheles mosquito) or through transfusion of plasmodium-infected blood to susceptible individuals. The disease burden has resulted in high global mortality, particularly among children under the age of five. Many intervention responses have been implemented to control malaria disease transmission, including blood screening, Long-Lasting Insecticide Bed Nets (LLIN), treatment with an anti-malaria drug, spraying chemicals/pesticides on mosquito breeding sites, and indoor residual spray, among others. As a result, a SIR (Susceptible - Infected - Recovered) model is developed to study the impact of various malaria control and mitigation strategies. The associated basic reproduction number and stability theory is used to investigate the stability analysis of the model equilibrium points. The global stability of the malaria-free equilibrium is investigated by constructing an appropriate Lyapunov function. By determining the direction of bifurcation, the implicit function theorem is used to investigate the stability of the model endemic equilibrium. Using R and MATLAB, the model is fitted to malaria data from Benue State, Nigeria. Estimates of parameters were made. An optimal control model is then developed and analyzed using Pontryaging's Maximum Principle. The malaria-free equilibrium point is locally and globally stable if the basic reproduction number $(R_{0})$ and the blood transfusion reproduction number $(R_{\alpha})$ are both less or equal to unity. The study of the sensitive parameters of the model revealed that the transmission rate of malaria from mosquito-to-human $(\beta_{mh})$, transmission rate from humans-to-mosquito $(\beta_{hm})$, blood transfusion reproduction number $(R_{\alpha})$ and recruitment rate of mosquitoes $(b_{m})$ are all sensitive parameters capable of increasing the basic reproduction number $(R_{0})$ thereby increasing the risk in spreading malaria disease. The result of the optimal control shows that five possible controls are effective in reducing the transmission of malaria. The study recommended the combination of five controls, followed by the combination of four and three controls is effective in mitigating malaria transmission. The result of the optimal simulation also revealed that for communities or areas where resources are scarce, the combination of Long Lasting Insecticide Treated Bednets $(u_{2})$, Treatment $(u_{3})$, and Indoor insecticide spray $(u_{5})$ is recommended. Numerical simulations are performed to validate the model's analytical results.
  • Classification : 93-xx, 93-10, Mathematical modeling or simulation for problems pertaining to systems and control theory
  • Author(s) :
    • Michael Olaniyi Adeniyi (Lagos State University of Science and Technology)
    • Raphael Oluwaseun Aderele (Lagos State University of Science and Technology )
    • Olajumoke Y Oludoun (Department of Mathematics, Bowen University, Iwo, Nigeria)
    • Matthew Iwada Ekum (Lagos State University of Science and Technology)
    • Segun Isaac Oke (Department of Mathematics, Ohio University, Athens, OH 45701-2979, USA)

[00470] Mathematical and Exploratory Data Analysis on Blood Transfusion Transmitted Malaria

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @A511
  • Type : Contributed Talk
  • Abstract : Malaria is a disease spread by an infected mosquito or through transfusion of plasmodium-infected blood to susceptible individuals. Many interventions have been implemented to control malaria transmission, including blood screening, Long-Lasting Insecticide Bed Nets (LLIN), treatment with an anti-malaria drug, spraying chemicals/pesticides on mosquito breeding sites, and indoor residual spray, among others. As a result, a deterministic model is developed to study the impact of various malaria control and mitigation strategies against malaria transmission.
  • Classification : 93-xx, 93-10, Mathematical modeling or simulation for problems pertaining to systems and control theory
  • Author(s) :
    • Michael Olaniyi Adeniyi (Lagos State University of Science and Technology)
    • Raphael Oluwaseun Aderele (Lagos State University of Science and Technology )
    • Olajumoke Y Oludoun (Department of Mathematics, Bowen University, Iwo, Nigeria)
    • Matthew Iwada Ekum (Lagos State University of Science and Technology)
    • Segun Isaac Oke (Department of Mathematics, Ohio University, Athens, OH 45701-2979, USA)