When propagated action potentials in cardiac tissue interact with local heterogeneities, counter propagating or reflected waves can sometimes be induced. These reflected waves have been associated with the onset of cardiac arrhythmias, and while their generation is not well understood, their existence is linked to that of one-dimensional (1D) spiral waves. Thus, understanding the existence and stability of 1D spirals plays a crucial role in determining the likelihood of the unwanted reflected pulses. Mathematically, we probe these issues by viewing the 1D spiral as a time-periodic antisymmetric source defect. Through a combination of direct numerical simulation and continuation methods, we investigate its existence and stability in a qualitative ionic model to determine how the systems propensity for reflections are influenced by system parameters. Our results support and extend a previous hypothesis that the 1D spiral is an unstable periodic orbit that emerges through a global rearrangement of heteroclinic orbits and we identify key parameters and physiological processes that promote and deter reflection behavior.
Tuesday, June 15 at 11:30am (PDT)Tuesday, June 15 at 07:30pm (BST)Wednesday, June 16 03:30am (KST)
MS08-CBBS: Waves and traveling phenomena in living systems
Organized by: Stephanie Dodson (University of California, Davis, United States), Scott McCalla (Montana State University, United States)
- Stephanie Dodson (University of California, Davis, United States) "One-dimensional spiral waves and reflection-induced cardiac arrhythmia"
- Matt Holzer (George Mason University, United States) "Locked fronts in a discrete time discrete space population model"
- Tracy Stepien (University of Florida, United States) "Traveling Waves of a Go-or-Grow Model of Glioma Growth"
- Scott McCalla (Montana State University, United States) "Nonlocal interfacial dynamics in biological systems"
MS08-CDEV: Control theory for microbiology
Organized by: Robert Planqué (Vrije Universiteit Amsterdam, Netherlands), Diego Oyarzún (University of Edinburgh, United Kingdom), Mustafa Khammash (ETH Zurich, Switzerland)
- Elisa Franco (University of California Los Angeles, United States) "Ultrasensitive feedback controllers for quasi-integral feedback"
- Jorge I. Poveda (University of Colorado, Boulder, United States) "High-Performance Online Optimization of Bioreactor Systems via Non-Smooth and Hybrid Extremizing Feedback Controllers"
- Mustafa Khammash (ETH Zurich, Switzerland) "Beyond Perfect Adaptation: Biological Antithetic Controllers for Enhanced Transient Performance"
- Diego Oyarzún (University of Edinburgh, United Kingdom) "Multiobjective optmization of metabolic control systems"
MS08-DDMB: Machine Learning and Data Science Approaches in Mathematical Biology: Recent Advances and Emerging Topics
Organized by: Paul Atzberger (University of California Santa Barbara, USA), Smita Krishnaswamy (Yale University, USA), Kevin Lin (University of Arizona, USA) Note: this minisymposia has multiple sessions. The second session is MS09-DDMB.
- Smita Krishnaswamy (Yale University, USA) "Geometric and Topological Approaches to Representation Learning in Biomedical Data"
- Sui Tang (UCSB, United States) "Data-driven discovery of interacting particle system using Gaussian processes"
- Rose Yu (University of California San Diego, USA) "Physics-Guided Deep Learning for Forecasting COVID-19"
- Alan Aspuru-Guzik (University of Toronto, USA) "Artificial Intelligence and Self-Driving Laboratories for Molecular Discovery"
MS08-ECOP: Population dynamics of interacting species
Organized by: Rebecca Tyson (University of British Columbia, Canada), Maria Martignoni (Memorial University of Newfoundland, Canada), Frithjof Lutscher (University of Ottawa, Canada) Note: this minisymposia has multiple sessions. The second session is MS07-ECOP.
- Juliana Berbert (Universidade Federal do ABC, Brazil) "Dessication-rehydration stress revealed by sugar-metabolite-reserve model"
- Chris Heggerud (University of Alberta, Canada) "Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modeling approach."
- Pau Capera Aragones (University of British Columbia Okanagan, Canada) "Differential equation model for central-place foragers with memory: Implications for bumble bee crop pollination"
- Rebecca Tyson (University of British Columbia Okanagan, Canada) "Phase-sensitive tipping: Cyclic ecosystems subject to contemporary climate"
MS08-EDUC: Using modelling in mathematical biology as an educational tool: from schools to higher education
Organized by: (Natasha Ellison, University of Sheffield, UK), Alexander Fletcher (University of Sheffield, UK), Nick Monk (University of Sheffield, UK)
- Joanna Wares and Marcella Torres (Department of Mathematics and Computer Science, University of Richmond, USA) "Making Sense of COVID-19: Mathematics and Data Science Activities Across the Curriculum"
- Padmanabhan Seshaiyer (George Mason University, Fairfax, Virginia, USA) "Educational frameworks for upskilling the next generation workforce in mathematical biology"
- Perry Hartland-Asbury (Radley college, UK) "Modelling Mathematics in Secondary Schools"
- Thomas Woolley (Cardiff University, UK) "Interactive mathematical biology: how to create your first shiny app"
MS08-EVOP: The Study of Diffusive Dispersal in Population Dynamics
Organized by: Chiu-Yen Kao (Claremont McKenna College, United States), Bo Zhang (Oklahoma State University, United States) Note: this minisymposia has multiple sessions. The second session is MS09-EVOP. The third session is MS10-EVOP.
- Suzanne Lenhart (University of Tennessee, United States) "Optimal control for management of an invasive population model with diffusion in a river"
- Idriss Mazari (Institute of Analysis and Scientific Computing, TU Wien, Austria) "Fragmenting and concentrating resources to optimise the total population size: a qualitative analysis"
- Yun Kang (Arizona State University, United States) "Dynamics of a Diffusion Reaction Prey-Predator Model with Delay in Prey: Effects of Delay and Spatial Components"
- Noelle Beckman (Biology Department & Ecology Center, Utah State University, United States) "Population persistence of plants under global change"
MS08-IMMU: Modeling of lung function and mechanics
Organized by: Jennifer Mueller (Colorado State University, United States)
- Bradford Smith (Department of Bioengineering, University of Colorado Denver | Anschutz Medical Campus, United States) "Ventilator waveform analysis to diagnose and prevent ventilator-induced lung injury"
- Emily Heavner (Colorado State University, United States) "Estimation of airway resistance throughout the bronchial tree from mechanical ventilation output data"
- Bela Suki (Dept. Biomedical Engineering, Boston University, United States) "Inflation instability in the lung: An analytical model of a thick-walled alveolus with wavy fibers under large deformations"
- Vitor Mori (University of Vermont, United States) "Modelling the progression of Ventilation-Induced Lung Injury in Mice"
MS08-MEPI: Advances in Infectious Disease Modeling
Organized by: Lihong Zhao (University of California Merced, United States), Ling Xue (Harbin Engineering University, China), Suzanne Sindi (University of California Merced, United States) Note: this minisymposia has multiple sessions. The second session is MS09-MEPI.
- Folashade Agusto (Ecology and Evolutionary Biology, University of Kansas, United States) "Playing with fire: Modeling the effects of prescribed fire on Lyme disease"
- Fabian Santiago (Department of Applied Mathematics, University of California Merced, United States) "Mathematical Assessment of Intervention Strategies for Mitigating COVID-19 Transmission in a University Setting "
- Zhuolin Qu (Department of Mathematics, The University of Texas at San Antonio, United States) "Modeling the invasion wave of Wolbachia in mosquitoes for controlling mosquito-borne diseases"
- Christopher Remien (Department of Mathematics and Statistical Sciences, University of Idaho, United States) "Reservoir population dynamics and pathogen epidemiology drive pathogen genetic diversity, spillover, and emergence"
MS08-MFBM: From Machine Learning to Deep Learning Methods in Biology
Organized by: Erica Rutter (University of California, Merced, United States), Suzanne Sindi (University of California, Merced, United States) Note: this minisymposia has multiple sessions. The second session is MS07-MFBM.
- Ali Heydari ((i) UC Merced Department of Applied Mathematics and (ii) Health Sciences Research Institute at UC Merced, USA) "Deep Generative Models for Realistic Single-Cell RNA-Seq Data Augmentation"
- Mohammad Jafari (Postdoctoral Scholar, Department of Applied Mathematics Jack Baskin School of Engineering University of California, Santa Cruz, USA) "Machine Learning-based Feedback Controller for Directing Stem Cell Membrane Potential"
- Thomas de Mondesir (Université Claude Bernard Lyon 1 & UC Merced, France) "Generating biological images to train deep-learning-based segmentation models"
- Jordan Collignon (University of California, Merced, USA) "A High-throughput Pipeline for Analyzing Experimental Images of Sectored Yeast Colonies"
MS08-MMPB: Multiscale simulations of biological fluid dynamics
Organized by: Matea Santiago (University of California, Merced, United States), Shilpa Khatri (University of California, Merced, United States) Note: this minisymposia has multiple sessions. The second session is MS09-MMPB.
- Christiana Mavroyiakoumou (University of Michigan, United States) "Large amplitude flutter of membranes"
- Alyssa Taylor (North Carolina State University, United States) "Fluid dynamics in hypoplastic left heart syndrome patients in supine and upright positions"
- Christina Hamlet (Bucknell University, Department of Mathematics, United States) "Modeling the small-scale ballistics and fluid dynamics of nematocyst firing"
- Ebrahim Kolahdouz (University of North Carolina at Chapel Hill, United States) "Migration and trapping of deformable blood clots using a sharp interface Lagrangian"
MS08-NEUR: Modeling cardiac electrophysiology and pharmacology in health and disease
Organized by: Seth Weinberg (The Ohio State University, United States) & Eleonora Grandi (UC Davis, United States)
- Eric Sobie (Icahn School of Medicine at Mount Sinai, United States) "Creating cell-specific models to infer changes to pig myocyte physiology after myocardial infarction"
- Haibo Ni (University of California Davis, United States) "Quantifying cAMP- and Ca(2+)-dependent proarrhythmic mechanisms using populations of atrial myocyte and tissue models"
- Nicolae Moise (The Ohio State University, United States) "Intercalated Disk Nanoscale Structure Regulates Cardiac Conduction"
- Jonathan Silva (Washington University in St. Louis, United States) "Using molecular detail and genetic background to predict patient response to anti-arrhythmic therapy"
MS08-ONCO: Tumor-Immune Dynamics and Oncolytic Virotherapy
Organized by: Lisette dePillis (Department of Mathematics, Harvey Mudd College, United States), Amina Eladdadi (Department of Mathematics, The College of St. Rose, United States)
- Raluca Eftime (University of Franche-Comté, France) "Modelling oncolytic virotherapies for cancer: the complex roles of innate immune responses"
- Justin Le Sauteur (University of Montreal, Canada) "Optimizing combined oncolytic vaccinia and PAC-1 treatment of ovarian cancer using in silico clinical trials"
- Pantea Pooladvand (The University of Sydney, Australia) "The dynamics of oncolytic virotherapy in dense tumours"
- Khaphetsi J. Mahasa (National University of Lesotho, Lesotho) "Natural killer cells recruitment in oncolytic virotherapy: a mathematical model"