# Joint Applied Math/Math Biology/Stochastics Seminar

### Sean Lawley

Department of Mathematics, University of Utah

#### Randomly switching ODEs, PDEs, and SDEs: Mathematical analysis and
biological insight

#### Thursday, December 3, 2015, at 9am

SW 132

Prompted by diverse biological applications, we consider ODEs with
randomly switching right-hand sides and PDEs and SDEs with randomly switching
boundary conditions. In this talk, I will describe the tools for analyzing these
systems and show how they can answer questions in biochemistry, physiology,
neuroscience, and cellular transport. Special attention will be given to
establishing mathematical connections between these three classes of stochastic
processes.