Ionic size effects on fluxes and ionic conductances via steric Poisson-Nernst-Planck models
报告专家：孙宁 讲师（国防科技大学）
报告时间：9月9日（周三）9:00-11:00
报告地点：腾讯会议：688648679
报告摘要：
We investigate finite ion size effects in ionic transport through membrane channels using a steric Poisson-Nernst-Planck (PNP) model with zero permanent charge. A key contribution of this work is the introduction of ionic conductance of ion channels (ICIC), a nonlinear and solution-dependent quantity that generalizes classical conductance concepts to the setting of strongly interacting ion flows. Unlike Ohm's law or Debye-Hückel-Onsager theory, ICIC captures the global flux-potential relation in nonlinear, multiscale regimes. By employing a parameterized local hard-sphere potential without assuming small ion sizes, we derive explicit approximations for ICIC and ionic fluxes under electroneutral boundary conditions. Geometric singular perturbation theory is used to analyze the associated boundary value problem. We further examine how ion sizes and other physical parameters influence both ionic fluxes and ICIC, revealing several nontrivial and regime-dependent behaviors.
专家简介：
孙宁博士主要从事几何奇异摄动理论、PNP模型及离子通道问题的建模与分析方法等研究。以第一作者在《J. Differential Equations》、《J. Dynam. Differential Equations》和《Phys. D》等权威期刊发表论文10余篇。主持国自然基金面上项目、青年项目、湖南省自然科学基金青年项目及国防科技大学青年自主创新科学基金项目各1项。担任美国《Mathematical Review》和德国《zbMATH》评论员。
邀请人：黄开银
