报告题目：Dynamics of Poisson-Nernst-Planck models: protein structure effects on ionic flows in ion channels
报 告 人：刘为世教授
所在单位：堪萨斯大学
报告时间：2022年7月28日，09:00-10:00
报告地点：腾讯会议 ID：168-386-730
校内联系人：史少云 shisy@jlu.edu.cn
报告摘要：Ion channels-large proteins embedded in cell membranes-provide major pathways for ions to move through membranes in order for cells to communicate with each other to monitor and perform almost all biological functions. There is no doubt that ionic flows present extremely rich dynamical behaviors, for which protein structures are the most important factors. Experiments on ion channels, particularly on protein structures, have advanced greatly. On the other hand, it is nearly impossible to extract critical information on ionic flows from current measurements.
In this talk, we will consider the Poisson-Nernst-Planck (PNP) system, the basic primitive models for ionic flows, and discuss a geometric singular perturbation (GSP) framework for analyzing dynamics of PNP models. The general GSP theory that we applied is based on the modern invariant manifold theory of nonlinear dynamics but, most crucially, this framework relies on special structures of the problem at hand. As an illustration of nontrivial findings from this research activity, we will report our studies of protein structure effects on ionic flows, some effects seem rather counter-intuitive.
The talk is based on my researches with many collaborators to be acknowledged throughout the talk.
报告人简介：刘为世，美国堪萨斯大学数学系教授，主要从事非线性动力系统、微分方程不变流形理论、奇异摄动中转点的几何理论以及在生物数学领域的应用的研究，取得了一批创新成果。在Arch. Ration. Mech. Anal.，J. Differ. Equ.和SIAM等国际重要学术刊物上发表多篇高水平学术论文。
