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Related papers: Permanent charge effects on ionic flow: a numerica…

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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 exhibit bifurcation, where a small parameter change causes a…

Dynamical Systems · Mathematics 2023-11-07 Hamid Mofidi

In this paper, we study effects of permanent charges on ion flows through membrane channels via a quasi-one-dimensional classical Poisson-Nernst-Planck system. This system includes three ion species, two cations with different valences and…

Soft Condensed Matter · Physics 2023-12-07 Ning Sun , 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 positive permanent charges inhibit the flux of cation as…

Quantitative Methods · Quantitative Biology 2017-12-20 Liwei Zhang , Bob Eisenberg , Weishi Liu

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) model to study two types of ions, one positively charged and…

Dynamical Systems · Mathematics 2023-12-29 Hamid Mofidi

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 ratios and channel structure. Our study is based on analysis…

Other Quantitative Biology · Quantitative Biology 2016-12-30 Shuguan Ji , Bob Eisenberg , Weishi Liu

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-Planck system with a local hard-sphere potential model for ionic…

Mathematical Physics · Physics 2022-03-18 Weishi Liu , Hamid Mofidi

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 models that can include the finite sizes of ions. The value…

Biomolecules · Quantitative Biology 2017-10-03 Bob Eisenberg , Weishi Liu

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 for the setup of a simple structure defined by the profile…

Soft Condensed Matter · Physics 2019-12-17 Bob Eisenberg , Weishi Liu , Hamid Mofidi

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 condition for ionic flows through membrane channels with a simple…

Dynamical Systems · Mathematics 2020-09-22 Hamid Mofidi , Weishi Liu

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 diffraction. Observations are obtained from analytical…

Statistical Mechanics · Physics 2020-09-22 Hamid Mofidi

Ion channels are of major interest and form an area of intensive research in the fields of biophysics and medicine since they control many vital physiological functions. The aim of this work is on one hand to propose a fully stochastic and…

Biomolecules · Quantitative Biology 2016-01-11 Daniela Morale , Mattia Zanella , Vincenzo Capasso , Willi Jaeger

The sliding motion of aqueous droplets on hydrohobic surfaces leads to charge separation at the trailing edge, with implications from triple-line friction to hydrovoltaic energy generation. Charges deposited on the solid surface have been…

Soft Condensed Matter · Physics 2025-09-12 Zouhir Benrahla , Tristan Saide , Louis Burnaz , Emilie Verneuil , Simon Gravelle , Jean Comtet

In the present study, the ionic transport and selectivity of electrokinetically-driven flow of power-law fluids in a long pH-regulated rectangular nanochannel are analyzed. The electrical potential and momentum equations are numerically…

Fluid Dynamics · Physics 2021-11-09 Mohammad Ali Vakili , Morteza Sadeghi , Mohammad Hassan Saidi , Ali Moosavi

Observing finite regions of a bigger system is a common experience, from microscopy to molecular simulations. In the latter especially, there is ongoing interest in predicting thermodynamic properties from tracking fluctuations in finite…

Soft Condensed Matter · Physics 2023-02-08 Thê Hoang Ngoc Minh , Benjamin Rotenberg , Sophie Marbach

The effect of fluctuations on the conductivity of ion channels is investigated. It is shown that modulation of the potential barrier at the selectivity site due to electrostatic amplification of charge fluctuations at the channel mouth…

Biological Physics · Physics 2009-11-13 D. G. Luchinsky , R. Tindjong , I. Kaufman , P. V. E. McClintock , R. S. Eisenberg

In this work, the friction factor for steady periodically developed flow through micro-and mini-channels with periodic arrays of offset strip fins is analyzed. The friction factor is studied numerically on a unit cell of the array for…

Fluid Dynamics · Physics 2021-10-18 Arthur Vangeffelen , Geert Buckinx , Maria Rosaria Vetrano , Martine Baelmans

The flow of ions through permeable channels causes voltage drop in physiological nanodomains such as synapses, dendrites and dendritic spines, and other protrusions. How the voltage changes around channels in these nanodomains has remained…

Soft Condensed Matter · Physics 2025-01-10 Frédéric Paquin-Lefebvre , David Holcman

The phase offset between surface charge modulation and geometric undulations in a corrugated nanochannel provides a tunable mechanism for rectified, diode-like ion transport under purely pressure-driven conditions: reversing the applied…

Fluid Dynamics · Physics 2026-05-15 Thomas Petersen , Pouya Golchin , Jinwoo Im , Felipe P. J. de Barros

Particle-particle correlation functions in ionic systems control many of their macroscopic properties. In this work, we use stochastic density functional theory to compute these correlations, and then we analyze their long-range behavior.…

Statistical Mechanics · Physics 2025-02-05 Haggai Bonneau , Vincent Démery , Elie Raphaël

Nanofluidic transport is ubiquitous in natural systems from extra-cellular communication in biology to geological phenomena, and promotes the emergence of new technologies such as energy harvesting and water desalination. While experimental…

Soft Condensed Matter · Physics 2026-03-23 Aymeric Allemand , Anne-Laure Biance , Christophe Ybert , Laurent Joly
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