112 citations · 152 across the 10 of their papers we have counts for
10 papers
The Poiseuille flow of the full Ericksen-Leslie model for nematic liquid crystals: The general Case
Geng Chen, Weishi Liu, Majed Sofiani
In this work, we study the Cauchy problem of Poiseuille flow of the full Ericksen-Leslie model for nematic liquid crystals. The model is a coupled system of two partial differentia…
Local Hard-Sphere Poisson-Nernst-Planck Models for Ionic Channels with Permanent Charges
Weishi Liu, Hamid Mofidi
The main goal of this work is to examine the qualitative effect of ion sizes via a steady-state boundary value problem. We study a one-dimensional version of a Poisson-Nernst-Planc…
Permanent charge effects on ionic flow: a numerical study of flux ratios and their bifurcation
Weizhang Huang, Weishi Liu, Yufei Yu
Ionic flow carries electrical signals for cells to communicate with each other. The permanent charge of an ion channel is a crucial protein structure for flow properties while boun…
Effects of diffusion coefficients on reversal potentials in ionic channels
Bob Eisenberg, Weishi Liu, Hamid Mofidi
In this work, the dependence of reversal potentials and zero-current fluxes on diffusion coefficients are examined for ionic flows through membrane channels. The study is conducted…
Reversal potential and reversal permanent charge with unequal diffusion coefficients via classical Poisson-Nernst-Planck models
Hamid Mofidi, Weishi Liu
In this paper, based on geometric singular perturbation analysis of a quasi-one dimensional Poisson-Nernst-Planck model for ionic flows, we study the problem of zero current condit…
Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model
Geng Chen, Tao Huang, Weishi Liu
In this paper, we study the Cauchy problem of the Poiseuille flow of full Ericksen-Leslie model for nematic liquid crystals. The model is a coupled system of a parabolic equation f…
An effect of large permanent charge: Decreasing flux to zero with increasing transmembrane potential to infinity
Liwei Zhang, Bob Eisenberg, Weishi Liu
In this work, we examine effects of large permanent charges on ionic flow through ion channels based on a quasi-one dimensional Poisson-Nernst-Planck model. It turns out large posi…
Relative dielectric constants and selectivity ratios in open ionic channels
Bob Eisenberg, Weishi Liu
We investigate the effects of the relative dielectric coefficient on ionic flows in open ion channels, using mathematical analysis of reasonably general Poisson-Nernst-Planck type…
Flux ratios and channel structures
Shuguan Ji, Bob Eisenberg, Weishi Liu
We investigate Ussing's unidirectional fluxes and flux ratios of charged tracers motivated particularly by the insightful proposal of Hodgkin and Keynes on a relation between flux…
Poisson-Nernst-Planck Systems for Narrow Tubular-like Membrane Channels
Weishi Liu, Bixiang Wang
We study global dynamics of the Poisson-Nernst-Planck (PNP) system for flows of two types of ions through a narrow tubular-like membrane channel. As the radius of the cross-section…