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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

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 boundary conditions play a role of the driving force. Their…

Numerical Analysis · Mathematics 2021-06-09 Weizhang Huang , Weishi Liu , Yufei Yu

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, 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

The dielectric constant of ionic solutions is known to reduce with increasing ionic concentrations. However, the origin of this effect has not been thoroughly explored. In this paper we study two such possible sources: long-range Coulombic…

Statistical Mechanics · Physics 2022-08-04 Ram M. Adar , Tomer Markovich , Amir Levy , Henri Orland , David Andelman

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

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

The static dielectric properties of dense ionic fluids, e.g., room temperature ionic liquids (RTILs) and inorganic fused salts, are investigated on different length scales by means of grandcanonical Monte Carlo simulations. A generally…

Soft Condensed Matter · Physics 2015-05-14 Grigory Zarubin , Markus Bier

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

Electrostatic correlations and variable permittivity of electrolytes are essential for exploring many chemical and physical properties of interfaces in aqueous solutions. We propose a continuum electrostatic model for the treatment of these…

Soft Condensed Matter · Physics 2015-06-23 Manman Ma , Zhenli Xu

Many theoretical studies were devoted in the past to ion-specific effects, trying to interpret a large body of experimental evidence, such as surface tension at air/water interfaces and force measurements between charged objects. Although…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman , Rudi Podgornik

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

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

Ion channels are specific proteins present in the membranes of living cells. They control the flow of specific ions through a cell, initiated by an ion channel's electrochemical gradient. In doing so, they control important physiological…

Subcellular Processes · Quantitative Biology 2012-09-14 Andrew Das Arulsamy

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

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

Nonlinear effects in the propagation of perturbations in a dusty electron-ion plasma is studied, considering fully relativistic wave motion. A multifluid model is considered for the particles, from which a KdV equation can be derived. In…

Plasma Physics · Physics 2023-08-29 Maricarmen A. Winkler , Víctor Muñoz , Felipe A. Asenjo

Polymer electrolytes typically exhibit diminished ionic conductivity due to the presence of correlation effects between the cations and anions. Microscopically, transient ionic aggregates, e.g. {\it ion-pairs}, {\it ion-triplets} or higher…

Materials Science · Physics 2008-04-15 Arijit Maitra , Andreas Heuer

We demonstrate with computer simulations that anomalous electrokinetic effects, such as ion specificity and non-zero zeta potentials for uncharged surfaces, are generic features of electro-osmotic flow in hydrophobic channels. This behavior…

Soft Condensed Matter · Physics 2009-11-13 David M. Huang , Cecile Cottin-Bizonne , Christophe Ybert , Lyderic Bocquet

Ion transport measurements are widely used as an indirect probe for various properties of confined electrolytes. It is generally assumed that the ion concentration in a nanoscale channel is equal to the ion concentration in the macroscopic…

Soft Condensed Matter · Physics 2023-04-05 Paul Robin , Adrien Delahais , Lydéric Bocquet , Nikita Kavokine
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