報告題目：Dynamics of Poisson-Nernst-Planck models: protein structure effects on ionic flows in ion channels
報 告 人：劉為世教授
所在單位：堪薩斯大學
報告時間：2022年7月28日，09:00-10:00
報告地點：騰訊會議 ID：168-386-730
校内聯系人：史少雲 shisy@jlu.edu.cn
報告摘要：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.
報告人簡介：劉為世，美國堪薩斯大學數學系教授，主要從事非線性動力系統、微分方程不變流形理論、奇異攝動中轉點的幾何理論以及在生物數學領域的應用的研究，取得了一批創新成果。在Arch. Ration. Mech. Anal.，J. Differ. Equ.和SIAM等國際重要學術刊物上發表多篇高水平學術論文。
