activity
20192023
collaborators

6 papers

math.DS2023

Ion Flow Dynamics with Higher-Order Permanent Charge

Hamid Mofidi

In this research, we explore how permanent charges affect the movement of ionic currents through ion channels. We use a quasi-one-dimensional classical Poisson-Nernst-Planck (PNP)…

math.DS2023

Bifurcation of Flux Ratio in Ionic Flows via a PNP model

Hamid Mofidi

This study investigates the flux ratios of ionic flows using Poisson-Nernst-Planck (PNP) models. The flux ratio measures the effect of permanent charge on the ion fluxes and can ex…

math-ph2022

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…

cond-mat.stat-mech2020

Geometric Mean of Concentrations and Reversal Permanent Charge in Zero-Current Ionic Flows via Poisson-Nernst-Planck Models

Hamid Mofidi

This work examines the geometric mean of concentrations and its behavior in various situations, as well as the reversal permanent charge problem, the charge sharing seen in x-ray d…

cond-mat.soft2019

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…

math.DS2019

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…