Mathematical frontiers in the analysis of biological systems with kinetic effects and spatial diffusion

Organizers:

Fanze Kong (University of Washington), Michael Jeffrey Ward and University of British Columbia

Description:

Partial Differential Equations (PDEs) serve as a fundamental framework to describe the collective behavior and pattern formation arising in biology and ecology. Over the last several decades, there have been numerous studies devoted to analyzing pattern formation in the nonlinear regime for classical two-component reaction-diffusion (R-D) systems including Gierer-Meinhardt models, Gray-Scott models, etc. However, to analyze some specific biological and ecological processes, one must often extend this classical framework to analyze more complex PDE systems such as R-D systems with advective effects, three-component R-D systems, bulk-cell R-D systems, R-D systems on growing domains or with free boundaries, and first passage problems associated with PDEs. This minisymposium brings together scholars who seek to explore the cutting-edge challenges in the study of these complex PDE models via dynamical system approaches, PDE theories and scientific computing methods. Highlighted topics include mean first passage time problems in transport equations, localized pattern formation in three-component R-D models or growing domains, synchronization in Kuramoto-inspired bulk-cell models with spatial diffusion, and free boundary problems arising from epidemics, among others. The aim of our minisymposium is to provide a platform for an exchange of ideas and open problems at the forefront of various aspects of PDE modeling in math biology.

Diversity Statement:

Our minisymposium is dedicated to bringing together researchers at all stages of their academic careers, including senior professors, assistant professors, postdoctoral scholars, and doctoral students, to provide a platform for the dissemination and exchange of research findings in mathematical biology. Regardless of identity, gender, age, nationality or culture, we strive to foster a respectful, equitable and inclusive environment for all attendees.