Applied and Interdisciplinary Mathematics Seminar

University of Michigan

Fall 2006
Friday, 17 November, 3:10-4:00pm, 1084 East Hall

Noise, phase-resetting, and synchrony

Bard Ermentrout

University of Pittsburg


Abstract

Common inputs have been suggested as a means for biological oscillators to synchronize even when they are uncoupled. Recent neurophysiological experiments have verifued this in brain oscillations. In this talk, I discuss mechanisms for how this synchrony is achieved and address several questions. (1) What is the relationship between output and input correlation? (2) What aspects of the temporal signal are optimal for synchrony? (3) What does the optimal stimulus tell us about the intrinsic dynamics of the biological system? By using concepts from dynamical systems and recent work in stochastic dynamics, we are able to answer these questions for a broad class of models.