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.