Mathematical Biology Seminar

Sean Lawley
Department of Mathematics, Duke University

Stochastic switching: mathematical surprises and biological insight

Wednesday, Oct 23, 2013, at 3:05pm
JTB 320

Motivated by several biological questions, including insect respiration and cell polarization, we consider ODEs with stochastically switching right-hand sides and PDEs with stochastically switching boundary conditions. In a variety of situations, we prove that the system exhibits surprising behavior. In this talk, we will highlight some of the most interesting results and describe their implications both for the mathematical study of stochastic switching processes and for insect respiration.