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发表时间:2019-07-04 阅读次数:314次
报告题目: A classical Poisson-Nernst-Planck model for ionic flow
报 告 人:徐洪国教授
报告人所在单位:Department of Mathematics, University of Kansas
报告日期:2019-07-04 星期四
报告时间:15:30-16:30
报告地点:光华东主楼1801
  
报告摘要:

Ion channels are small holes embedded in cell membranes. They open and close to control the flow of ions. In this way, cells function properly. Poisson-Nernst-Planck (PNP) model is a mathematical model commonly used to study ionic flow. In this talk, a classical PNP model is considered. We show that the system has a unique solution. The proof is constructive. With singular perturbation analysis the problem is reduced to an inverse problem of a first order linear system with boundary conditions. Then with the help of matrix theory, it is further reduced to a root problem of a meromorphic function, which is solved by Cauchy Argument Principle. We show how matrix eigenvalue theory is used in solving the problem.

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本年度学院报告总序号:150

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