PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Yakov Pesin, Leonid Berlyand.

Title:Fredholm meets Hodgkin, Huxley, Fokker, Planck, Keizer and Gillespie
Seminar:Department of Mathematics Colloquium
Speaker:Jim Keener, University of Utah
Abstract:
One fascinating aspect of the study of Mathematical Biology is the way in which certain fundamental mathematical ideas show up in widely varying contexts. In this talk we will take a quick tour of a variety of stochastic biological and chemical processes all of which have a common mathematical feature, namely that the underlying dynamics is on a manifold of lower dimension, and the existence of this manifold is a consequence of the Fredholm alternative theorem. The biological problems we will discuss include spontaneous release of calcium in cardiac cells, extinction dynamics of enzyme reactions, ion channel kinetics, progression of molecular motors and spontaneous firing of action potentials in nerve cells. Names associated with these biological processes and their mathematical models include Hodgkin and Huxley, Fokker-Planck, Keizer and Gillespie.

Room Reservation Information

Room Number:MB114
Date:02 / 16 / 2012
Time:04:00pm - 05:00pm