Abstract: The modeling and simulation of ion channel proteins are essential to the study of many vital physiological processes within a biological cell because most ion channel properties are very difficult to address experimentally in biochemistry. They also generate a lot of new numerical issues to be addressed in applied and computational mathematics. In this talk, we mainly deal with some numerical issues that are arisen from the numerical solution of one important ion channel dielectric continuum model, Poisson-Nernst-Planck (PNP) ion channel model, based on the finite element approximation approach under different boundary conditions and unstructured tetrahedral meshes. To solve this PNP ion channel model numerically, we develop a fast finite element iterative method and program it as a software package by using effective numerical techniques. This work makes us possible to carry out numerical comparison tests in order to study the affection of different boundary value conditions on the PNP numerical solutions.
晁震，密歇根大学安娜堡分校博士后助理教授，分别于2017年和2020年获得华东师范大学和威斯康星大学密尔沃基分校博士学位。 主要从事细胞离子通道模型的算法研究，和相关数值线性代数方面的研究工作。在包括SIAM JCO, JCP, JCAM, CMA等国际SCI期刊发表论文12篇。
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