In this talk, I will present a geometric bulk-surface PDE approach for modelling single cell migration. First, I will discuss a geometric-surface PDE approach where cell migration is described by a force balance equation posed only on the cell plasma membrane, under a sharp interface formulation. The evolution law for the cell plasma membrane is discribed through forces acting at each material point, in the normal direction. These forces include (but are not limited to): actomyosin forces for cell polarisation, driven by molecular species resident on the plasma membrane and these obey a surface reaction-diffusion system; forces describing the energetic nature of the plasma membrane (e.g. surface tension, bending energy, etc); forces associated with volume constraint and external forces (including cell-to-cell interactions, cell-to-obstacle interactions), and so forth.
By introducing bulk dynamics associated with the bulk-surface wave-pinning model, we will demonstrate the generalisation to a geometric bulk-surface modelling approach. To support the modelling approach, numerical examples will be exhibited based on evolving bulk-surface finite elements to model single and collective cell migration through stationary and deformable extracellular matrices as well as cell migration through confined spaces, reminiscent of microfluidic devices.
Minisymposia: MS08
Friday, July 18 at 10:20am
Minisymposia: MS08
Timeblock: MS08
CDEV-07
(Part 2)
Modeling cell migration at multiple scales
Timeblock: MS08
CDEV-07
(Part 2)
Organized by: Jared Barber (Indiana University Indianapolis), Luoding Zhu
Note: this minisymposia has multiple sessions. The other session is: and Part-1.
- Anotida Madzvamuse
University of British Columbia
"A geometric bulk-surface PDE approach for modelling single and collective cell migration" - Jared Barber
Indiana University Indianapolis
"Admissible behaviors for a model of actin filaments pushing the cell forward" - Jianda Du
University of Florida
"Effect of Curvature in a Cell Migration Model" - David Odde
University of Minnesota
"Modeling the mechanics of glioblastoma progression and treatment."
Timeblock: MS08
ECOP-02
(Part 2)
Advances in Spatial Ecological and Epidemiological Modeling and Analysis
Timeblock: MS08
ECOP-02
(Part 2)
Organized by: Daozhou Gao (Cleveland State University), Xingfu Zou, University of Western Ontario
Note: this minisymposia has multiple sessions. The other session is: and Part-1.
- Wenxian Shen
Auburn University
"Front Propagation Dynamics in Fisher KPP Equations on Unbounded Metric Graphs" - Rachidi Salako
University of Nevada, Las Vegas
"On a Cross-diffusive SIS Epidemic Model with Singular Sensitivity" - Yun Kang
Arizona State University
"Migration Dynamics and Collective Decision-Making in Social Insect Colonies" - Carolin Grumbach
Osnabrück University
"Allee Pits in Metapopulations: When Increasing Dispersal Can Backfire"
Timeblock: MS08
ECOP-07
(Part 2)
Exploring Heterogeneity in Mathematical Models: Methods, Applications, and Insights
Timeblock: MS08
ECOP-07
(Part 2)
Organized by: Zhisheng Shuai (University of Central Florida), Junping Shi, College of William & Mary; Yixiang Wu, Middle Tennessee State University
Note: this minisymposia has multiple sessions. The other sessions are: Part-1, and Part-3.
- Yuanwei Qi
University of Central Florida
"Mathematical Analysis of a Cancer Invasion Model" - Chunhua Shan
University of Toledo
"Transmission dynamics and bifurcations of a diffusive epidemic model with a nonlinear recovery rate" - Yixiang Wu
Middle Tennessee State University
"Analysis of a parabolic-hyperbolic hybrid population model: an integrated semigroup approach" - Poroshat Yazdanbakhsh
Rollins College
"A Novel Approach to Understanding Disease Spread and Population Persistence in Heterogenous Environments"
Timeblock: MS08
EDUC-01
(Part 2)
Recent perspectives on mathematical-biology education
Timeblock: MS08
EDUC-01
(Part 2)
Organized by: Stacey Smith? (The University of Ottawa)
Note: this minisymposia has multiple sessions. The other session is: and Part-1.
- Michael Kelly
Transylvania University
"Beyond an introduction: advanced interdisciplinary data science in the liberal arts." - Stacey Smith?
The University of Ottawa
"To pre-record or not to pre-record? Lessons learned from video instruction in a flipped classroom" - Reginald McGee
Haverford University
"Teaching Reflections One-Year Post Tenure" - Elissa Schwartz
Washington State University
"Should we teach a course on writing to graduate students?"
Timeblock: MS08
IMMU-04
(Part 2)
Multiscale modelling in infectious diseases
Timeblock: MS08
IMMU-04
(Part 2)
Organized by: Dr Macauely Locke (Los Alamos National Laboratory), Dr Jasmine Kreig, Dr Aurelien Marc, Los Alamos National Laboratory
Note: this minisymposia has multiple sessions. The other session is: and Part-1.
- Jasmine A.F. Kreig
Los Alamos National Laboratory
"A stochastic model of HIV viral rebound after treatment interruption" - Sarafa Adewale Iyaniwura
Fred Hutch
"Understanding the effectiveness of a capsid assembly modulator (CAM) in the treatment of chronic HBV infection" - Paolo Bosetti
Institut Pasteur
"Accounting for epidemic reintroductions in infectious disease modelling" - Mason Lacy
Queensland University of Technology
"Modelling T cell expansion in immune cell-mimicking scaffolds for adoptive cell therapy"
Timeblock: MS08
MEPI-02
(Part 1)
Modeling Complex Dynamics in Biological Processes: From Cellular Mechanics to Population-Level Dynamics
Timeblock: MS08
MEPI-02
(Part 1)
Organized by: Folashade B. Agusto (University of Kansas), Chidozie Williams Chukwu
Note: this minisymposia has multiple sessions. The other session is: and Part-2.
- Blessing Emerenini
Rochester Institute of Technology, USA
"Integrative Triple Therapy Against Bacterial Infections: Exploring Synergistic Dynamics" - Olusegun Otunuga
Augusta University, USA
"Stochastic Modeling and First-Passage-Time Analysis of Oncological Time Metrics with Dynamic Tumor Barriers" - Nourridine Siewe
Rochester Institute of Technology, USA
"A mathematical model of obesity-induced type 2 diabetes and efficacy of anti-diabetic weight reducing drug" - Joan Ponce
University of Arizona, USA
"Impact of DARC Polymorphism on P. vivax Transmission Dynamics"
Timeblock: MS08
MEPI-06
(Part 3)
Recent Advances in Dynamics of Human Behavior and Epidemics
Timeblock: MS08
MEPI-06
(Part 3)
Organized by: Abba Gumel (University of Maryland), Alex Safsten, Alice Oveson (both University of Maryland)
Note: this minisymposia has multiple sessions. The other sessions are: Part-1, and Part-2.
- Jacques Bélair
Université de Montréal
"Knowledge as an Infection: Modeling Variable Compliance with Non-Pharmaceutical Interventions (NPIs)" - Asa Rishel
University of Maryland
"Mind Over Matter: Balancing the Benefits of COVID Lockdowns with Their Cost on Mental Health" - Bryce Morsky
Florida State University
"Social Dynamics, Information Spread, and Behavioral Responses in Epidemic Modeling" - Claus Kadelka
Iowa State University
"Adaptive Human Behavior and Delays in Information Availability Autonomously Modulate Epidemic Waves"
Timeblock: MS08
MEPI-11
(Part 2)
Advances in infectious disease modelling: towards a unifying framework to support the needs of small and large jurisdictions
Timeblock: MS08
MEPI-11
(Part 2)
Organized by: Amy Hurford (Memorial University), Michael Li, Public Health Agency of Canada
Note: this minisymposia has multiple sessions. The other sessions are: Part-1, Part-3, and Part-4.
- Sally Otto
University of British Columbia
"Coupled dynamics and the challenge of estimating Rt in small jurisdictions" - Julien Arino
University of Manitoba
"Introduced cases and spread of infection in a community" - Jude Kong
University of Toronto
"Human Behavior and Epidemic Dynamics: Adaptive vs. Robust Control Strategies in Shaping Outbreak Outcomes" - Pouria Ramazi
Brock University
"Modeling Behavioral Heterogeneity to Optimize Vaccine Uptake Through Tailored Communication"
Timeblock: MS08
MFBM-07
(Part 3)
Stochastic Methods for Biochemical Reaction Networks
Timeblock: MS08
MFBM-07
(Part 3)
Organized by: Hye-Won Kang (University of Maryland Baltimore County), Arnab Ganguly, Louisiana State University, aganguly@lsu.edu
Note: this minisymposia has multiple sessions. The other sessions are: Part-1, and Part-2.
- Suzanne Sindi
University of California Merced
"Scalable Bayesian Discovery of Chemical Reaction Networks from Fully Observed Stochastic Dynamics" - Muruhan Rathinam
University of Maryland Baltimore County
"Stochastic Filtering of Reaction Networks" - Arnab Ganguly
Louisiana State University
"Multiscale Enzyme Kinetic Reactions: Stochastic Averaging and Statistical Inference" - Dongju Lim
Korea Advanced Institute of Science and Technology
"Toward Single-Cell Control: Noise-Robust Perfect Adaptation in Biomolecular Systems"
Timeblock: MS08
MFBM-09
(Part 4)
Probability & stochastic processes in biology: models, methods, and community
Timeblock: MS08
MFBM-09
(Part 4)
Organized by: Jinsu Kim (POSTECH), Eric Foxall (The University of British Columbia - Okanagan Campus), and Linh Huynh (Dartmouth College)
Note: this minisymposia has multiple sessions. The other sessions are: Part-1, Part-2, and Part-3.
- Alan Lindsay
University of Notre Dame
"Asymptotic and numerical methods for cellular signaling and directional sensing using extreme statistics" - Jennifer Flegg
University Melbourne
"Investigation of vivax malaria elimination using mass drug administration: A simulation study" - Liam Yih
University of British Columbia
"Handling molecular binding under force in coarse-grained simulations of passive nanoscale movers"
Timeblock: MS08
MFBM-13
(Part 4)
Modern methods in the data-driven modeling of biological systems
Timeblock: MS08
MFBM-13
(Part 4)
Organized by: Cody FitzGerald (Northwestern University), Rainey Lyons (CU Boulder), Nora Heitzman-Breen (CU Boulder), Susan Rogowski (NCSU)
Note: this minisymposia has multiple sessions. The other sessions are: Part-1, Part-2, and Part-3.
- Rainey Lyons
CU Boulder
"Learning Structured Population Dynamics from Data with WSINDy" - Francis Anokye
Memorial University of Newfoundland
"Quantifying the hidden burden of Omicron and the impact of Alert Level System in Newfoundland and Labrador" - Marisa Eisenberg
University of Michigan, Ann Arbor
"Models to inform wastewater-based epidemiology: opportunities and uncertainty" - Seth Minor
CU Boulder
"Learning Coarse-Grained Ecological Models from Stochastic Interacting Particle Data"
Timeblock: MS08
MFBM-14
(Part 3)
Multicellular Agent-Based Modelling - The OpenVT Project
Timeblock: MS08
MFBM-14
(Part 3)
Organized by: James Osborne (University of Melbourne), James Glazier (Indiana University) Yi Jiang (Georgia State University)
Note: this minisymposia has multiple sessions. The other sessions are: Part-1, and Part-2.
- James Glazier
Indiana University, USA
"OpenVT--Towards Making Virtual Tissue Models FAIR - Opportunities and Challenges" - Paul Macklin
Indiana University, USA
"Intuitive code-free tissue modeling in the cloud with PhysiCell" - James Osborne
University of Melbourne, AUSTRALIA
"Multicellular Model Reproducibility: A case study, results from the Open VT hackathon"
Timeblock: MS08
NEUR-01
Neurodynamics
Timeblock: MS08
NEUR-01
Organized by: Richard Bertram (Florida State University), Yangyang Wang, Brandeis University
- Na Yu
Toronto Metropolitan University
"Exploring the Roles of Noise and Coupling Strength in the Emergent Dynamics of Clustered Neural Motifs" - Amin Akhshi
McGill University
"From Chaos to Neural Code: Exploring the Role of Gamma-Frequency Burst Oscillations in Sensory Pyramidal Cells" - Adam Stinchcombe
University of Toronto
"Modelling Insights into Two Behaviour Rhythm Phenomena" - Richard Bertram
Florida State University
"Dynamic Homeostasis in Relaxation and Bursting Oscillations"
Timeblock: MS08
ONCO-04
(Part 2)
Digital twins for clinical oncology and cancer research
Timeblock: MS08
ONCO-04
(Part 2)
Organized by: Guillermo Lorenzo (University of A Coruna (Spain)), Chengyue Wu (The University of Texas MD Anderson Cancer Center, US), Ernesto A. B. F. Lima (The University of Texas at Austin, US)
Note: this minisymposia has multiple sessions. The other session is: and Part-1.
- Heber L. Rocha
Indiana University
"Agent-Based Modeling of Cancer Drug Response with PKPD Calibration Challenges and Personalized Modeling" - Marianna Cerasuolo
University of Sussex
"Mathematical and Statistical Insights into Gut Microbiota–Phytocannabinoid–Diet Interplay in Prostate Cancer Progression in Mice" - Guillermo Lorenzo
University of A Coruna
"Patient-specific forecasting of prostate cancer progression to higher-risk disease during active surveillance" - David A. Hormuth, II
The University of Texas at Austin Texas
"Image-based habitat dynamics in patients with head and neck cancer undergoing radiotherapy"
Timeblock: MS08
OTHE-08
(Part 2)
Quantitative Systems Pharmacology: Linking mathematical biology to model informed drug development (MIDD) - Pharmacometrics Subgroup
Timeblock: MS08
OTHE-08
(Part 2)
Organized by: Marissa Renardy (Quantitative Systems Pharmacology, GSK), Kathryn G. Link, Quantitative Systems Pharmacology, Pfizer Inc.
Note: this minisymposia has multiple sessions. The other session is: and Part-1.
- Farrah Sadre-Marandi
qPharmetra
"Navigating pediatric dose selection: Insights from nifurtimox for Chagas disease" - Sarah Minucci
Certara
"A Quantitative Systems Pharmacology Platform Model of Alzheimer's Disease for Reducing Amyloid Plaque and Tau" - Sarah Minucci, Olivia Walch, Farrah Sadre-Marandi, Marissa Renardy
Certara, Arcascope, qPharmetra, GSK
"Industry Panel Discussion"