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Geometric singular approach to Poisson-Nernst-Planck type models for ionic flows through membrane channels

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系列学术活动之(44

题    目:

Geometric singular approach to Poisson-Nernst-Planck type models for ionic flows through membrane channels

摘    要:

In this talk, a brief description of ion channels and  the background of Poisson-Nernst-Planck (PNP) models are provided. Focusing on the key structure of ion channels, a one-dimensional PNP model is derived, from which qualitative properties of ionic flows can be studied in great details. The main idea of Geometric Singular Perturbation Theory is introduced, which is the main tool to study the PNP system. As an example, the theory is applied to a simple case of Poisson-Nernst-Planck system with two ion species, one positively charged and one negatively charged. Finally, interesting research topics and some obtained results related to ion channel problems are discussed.

报 告 人:

张明吉,教授,美国新墨西哥矿业理工学院

时    间:

201872409:00-10:00

地    点:

明义-204

报告人概况:

张明吉,教授,博士生导师,目前就职于美国新墨西哥矿业理工学院。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 做博士后研究。研究方向为非线性动力系统,微分方程及其应用,特别是在离子通道问题 (ion channel problems) 和发展生物学 (developmental biology)中的应用。在离子通道问题研究中, 特别是对离子流的动力学行为的研究,做出了重要贡献,得到同行专家的高度认可。 已在 《J. Differential Equations》,《J. Dynamics and Differential Equations, SIAM J. Applied Mathematics, SIAM J. Applied  Dynamical  Systems》等国际顶级期刊发表论文20余篇。



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