当前位置: 首页 > 学术活动 > 正文
Effects of permanent charge and boundary conditions on ionic flow
时间:2022年11月16日 15:27 点击数:

报告人:刘为世

报告地点:腾讯会议ID:954 350 300;会议密码:221117

报告时间:2022年11月17日星期四10:00-11:00

邀请人:李勇、冀书关

报告摘要:

 

Permanent charge (simplified mathematical model for protein structure) is the most important structure of an ion channel and is the major controller for properties of ionic flows through the ion channel. Another important factor for ionic flow specifics is the boundary conditions. In this talk, we will report our studies toward an understanding of effects of interplays between permanent charge and boundary conditions on ionic flow via a quasi-one-dimensional Poisson-Nernst-Planck (PNP) model.Permanent charges considered here are restricted to a special case of piecewise constant with one non-zero portion. For ionic mixtures with one cation (positively charged) species and one anion (negatively charged) species, a fairly rich behavior of permanent charge effects has been revealed from rigorous analyses based on a geometric framework for PNP and from numerical simulations guided by the analytical results. For ionic mixtures with three ion species: two cations and one anion, richer behavior is expected and our preliminary analysis and case studies identify, in concrete manner, a number of these, including some surprising ones.

 

主讲人简介:

刘为世,美国堪萨斯大学数学系教授、博士生导师。主要从事非线性动力系统、不变流形理论、奇异摄动理论、电扩散以及离子通道问题等领域的研究,于《Arch. Ration. Mech. Anal.》、《SIAM J. Appl. Math.》、《J. Differential Equations》和《Nonlinearity》等高水平学术刊物发表论文40余篇,多次应邀到牛津大学、新加坡国立大学、北京大学、清华大学、台湾大学等高校进行学术交流和访问,承担包括美国国家自然科学基金项目在内的多项科研项目,并担任国际数学杂志《Rocky Mountain Journal of Mathematics》的副主编。。

©2019 东北师范大学数学与统计学院 版权所有

地址:吉林省长春市人民大街5268号 邮编:130024 电话:0431-85099589 传真:0431-85098237