Mathematics Colloquium: Diffusion in a randomly fluctuating environment
4:10pm Neill 5W
A number of diverse biological systems involve diffusion in a randomly fluctuating environment. For example, such processes arise in neural communication, insect respiration, and bacterial chemoreception. Mathematically, these systems can be modeled by PDEs with randomly fluctuating or randomly switching boundary conditions. In this talk, we will demonstrate that these systems (a) arise naturally in several biological applications and (b) are mathematically rich. In particular, we will highlight the delicate and highly counterintuitive behavior that these systems can exhibit.