Recent Studies on Ion Channel Problems via Poisson-Nernst-Planck Models


主讲人:张明吉 美国新墨西哥矿业理工学院教授




主讲人介绍:张明吉,美国新墨西哥矿业理工学院(New Mexico Institute of Mining and Technology)数学系教授,博士生导师。2013 年毕业于美国堪萨斯大学,获理学博士学位;2013-2015年跟随著名数学家Peter W . Bates在密歇根州立大学做博士后研究。研究领域是非线性动⼒系统、微分方程及其应用。目前研究主要侧重于(i)几何奇异摄动理论及其应用, 特别是在离子通道问题和发展生物学中的应用;和(ii)非线性偏微方程的随机动力学研究。研究工具主要是在非线性动⼒系统不变流形理论上新发展起来的几何奇异摄 动理论。在本学科方向的 《J. Differential Equations》《J. Nonlinear Science》《Nonlinearity》《J. Dynamics and differential Equations》《SIAM J. Applied Mathematics》《SIAM J. Applied Dynamical Systems》 等杂志发表相关学术论文近50篇。SIAM 系列、DCDS系列等50余国际SCI杂志的特约审稿人,美国《数学评论》评论员,德国《数学文摘》评论员。

内容介绍:We briefly introduce some recent results of our studies on related ion channel problems. We mainly focus on the dynamics of ionic flows through membrane channels via Poisson-Nernst-Planck models under different setups, particularly the internal dynamics, which cannot be detected via current technology. More precisely, the characterization of the nonlinear interplays between different physical parameters, particularly, boundary conditions, permanent charges, diffusion coefficients and channel geometry, is our main focus. This provides detailed information and better understandings for the ionic flow properties of interest.