# 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.