Does larger electrochemical potential produce larger flux

Electrochemical potential is the driving force for ionic flow (or more precisely ionic flux). An extremely counterintuitive phenomenon has been observed from experiments long ago; that is, as the electrochemical potential of an ion species increases to infinity in a special way, the flux decreases to zero. The cause of the declining phenomenon was unclear.

Based on the abstract invariant manifold theory of nonlinear dynamical systems (the geometric singular perturbation theory) together with the revealing of concrete intrinsic structures of ion channel problems, a geometric singular perturbation framework was developed for the Poisson-Nernst-Planck systems as models for ionic flow through ion channels. In a recent work, we investigate effects of large permanent charges on ionic flows and obtained several unintended results; in particular, we found that the large permanent charge is responsible for the above mentioned declining phenomenon.

The talk is based joint works with B. Eisenberg, a physiologist from Rush Medical Center at Chicago, and L. Zhang, a Ph. D. student from Shanghai Jiao Tong University.

举办单位：数学与统计学院

发 布 人：科研助理 发布时间： 2017-07-12

发 布 人：科研助理 发布时间： 2017-07-12

Weishi Liu is a Professor of Mathematics at the University of Kansas. His research interests include invariant manifold theory (center manifold theory of invariant sets), geometric singular perturbation theory for problems with turning points, and Poisson-Nernst-Planck systems for electrodiffusions, particularly, ion channel problems.