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BIMSA Computational Math Seminar
Effects on ionic flows from large permanent charges via classical Poisson-Nernst-Planck systems with multiple cations
Effects on ionic flows from large permanent charges via classical Poisson-Nernst-Planck systems with multiple cations
Organizers
Zhen Li
,
Xin Liang
,
Zhi Ting Ma
,
Hamid Mofidi
,
Li Wang
,
Fan Sheng Xiong
,
Shuo Yang
,
Wu Yue Yang
Speaker
Mingji Zhang
Time
Monday, November 18, 2024 1:00 PM - 2:00 PM
Venue
Online
Online
Zoom 928 682 9093
(BIMSA)
Abstract
We analyze a quasi-one-dimensional Poisson-Nernst Planck system with large permanent charges and multiple cations. In the framework of geometric singular perturbation theory, the existence and local uniqueness result is established, from which approximated expressions of individual fluxes are derived, critical for our further study of the large permanent charge effects on ionic flows. Detailed characterization of the nonlinear interactions among different system parameters is provided, from which one is able to observe distinct dynamics of ionic flows, and better understand the mechanisms of ionic flows through membrane channels. More importantly, this cannot be detected via current technology.