Applied Mathematics Seminar: Nonlocal Interfacial Dynamics in Biological Systems
- Thursday, February 22, 2018 from 3:10pm to 4:00pm
- Wilson Hall, 1-144 - view map
Applied Mathematics Seminar:
Scott McCalla (Department of Mathematical Sciences)
Title: Nonlocal Interfacial Dynamics in Biological Systems
Abstract: Biological pattern formation has been extensively studied using reaction-diffusion models. These models are inherently local, however many biological systems are known to exhibit nonlocality. In this talk we will discuss nonlocal pattern forming mechanisms in the context of bacterial colony formation and surface striping on animals with an emphasis on arrested fronts. This will lead to a novel nonlocal framework to understand the interfacial motion in biological systems. We will then use this approach to model an interesting bacterial phenomenon, and to understand simple microscopic requirements for flat stripe solutions to persist in nature.