Past Probability Seminars Spring 2020

Spring 2014

Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted.

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Thursday, February 6, Jay Newby, Mathematical Biosciences Institute

Title: Applications of large deviation theory in neuroscience

Abstract: The membrane voltage of a neuron is modeled with a piecewise deterministic stochastic process. The membrane voltage changes deterministically while the population of open ion channels, which allow current to flow across the membrane, is constant. Ion channels open and close randomly, and the transition rates depend on voltage, making the process nonlinear. In the limit of infinite transition rates, the process becomes deterministic. The deterministic process is the well known Morris-Lecar model. Under certain conditions, the deterministic process has one stable fixed point and is excitable. An excitable event, called an action potential, is a single large transient spike in voltage that eventually returns to the stable steady state. I will discuss recent development of large deviation theory to study noise induced action potentials.

Thursday, February 13, Diane Holcomb, UW-Madison

Title: TBA

Abstract: TBA

Thursday, February 27, Jack Hanson, Indiana University Bloomington

Title: TBA

Abstract: TBA

Thursday, March 27, Cécile Ané, UW-Madison Department of Statistics

Title: Application of a birth-death process to model gene gains and losses on a phylogenetic tree

Thursday, May 8, TBA

Past Seminars