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Traditionally, ion-selectivity in nanopores and nanoporous membranes is understood to be a consequence of Debye overlap, in which the Debye screening length is comparable to the nanopore radius somewhere along the length of the nanopore(s).…

Soft Condensed Matter · Physics 2020-08-05 Anthony R. Poggioli , Alessandro Siria , Lyderic Bocquet

We discuss various models of ion transport through cell membrane channels. Recent experimental data shows that sizes of ion channels are compared to those of ions and that only few ions may be simultaneously in any single channel.…

Subcellular Processes · Quantitative Biology 2007-06-06 Jan Gomulkiewicz , Jacek Miekisz , Stanislaw Miekisz

We report a multiscale modeling study for charged cylindrical nanopores using three modeling levels that include (1) an all-atom explicit-water model studied with molecular dynamics (MD), and reduced models with implicit water containing…

A Poisson-Nernst-Planck-Fermi (PNPF) theory is developed for studying ionic transport through biological ion channels. Our goal is to deal with the finite size of particle using a Fermi like distribution without calculating the forces…

Biological Physics · Physics 2015-06-23 Jinn-Liang Liu , Bob Eisenberg

A modified Poisson-Nernst-Planck system in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. It describes the concentrations of ions immersed in a polar solvent and the correlated electric potential due to the…

Analysis of PDEs · Mathematics 2023-05-25 Ansgar Jüngel , Annamaria Massimini

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

Biological ion channels balance electrostatic and dehydration effects to yield large ion selectivities alongside high transport rates. These macromolecular systems are often interrogated through point mutations of their pore domain,…

Mesoscale and Nanoscale Physics · Physics 2019-07-19 Subin Sahu , Justin Elenewski , Christoph Rohmann , Michael Zwolak

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

Characterizing the local voltage distribution within nanophysiological domains, driven by ionic currents through membrane channels, is crucial for studying cellular activity in modern biophysics, yet it presents significant experimental and…

Soft Condensed Matter · Physics 2026-05-14 Frédéric Paquin-Lefebvre , Alejandro Barea Moreno , David Holcman

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 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 model and simulate a nanopore sensor that selectively binds analyte ions. This binding leads to the modulation of the local concentrations of the ions of the background electrolyte (KCl), and, thus, to the modulation of the ionic current…

Applied Physics · Physics 2019-11-07 Eszter Mádai , Mónika Valiskó , Dezső Boda

We show the existence of a resonant behavior of the current of Brownian particles confined in a pulsating channel. The interplay between the periodic oscillations of the shape of the channel and a force applied along its axis leads to an…

Soft Condensed Matter · Physics 2016-12-15 M. Florencia Carusela , J. Miguel Rubí

In charged nanopores, ionic diffusion current reflects the ionic selectivity and ionic permeability of nanopores which determines the performance of osmotic energy conversion, i.e. the output power and efficiency. Here, theoretical…

Chemical Physics · Physics 2023-09-15 Long Ma , Zihao Gao , Jia Man , Jianyong Li , Guanghua Du , Yinghua Qiu

In this paper we propose a computational framework for the investigation of the correlated motion between positive and negative ions exposed to the attraction of a bubble surface that mimics the (oscillating) cell membrane. The correlated…

Computational Physics · Physics 2022-03-14 Antonio Raudino , Antonio Grassi , Giuseppe Lombardo , Giovanni Russo , Clarissa Astuto , Mario Corti

An integral equation method is presented for the 1D steady-state Poisson-Nernst-Planck equations modeling ion transport through membrane channels. The differential equations are recast as integral equations using Green's 3rd identity…

Numerical Analysis · Mathematics 2023-04-11 Zhen Chao , Weihua Geng , Robert Krasny

Ionic transport in nanopores is a fundamentally and technologically important problem in view of its occurrence in biological processes and its impact on novel DNA sequencing applications. Using microscopic calculations, here we show that…

Soft Condensed Matter · Physics 2009-09-26 Michael Zwolak , Johan Lagerqvist , Massimiliano Di Ventra

We report transport properties and particle current rectification operation in a double-stranded tight-binding ladder network within non-equilibrium Green's function (NEGF) formalism that can easily be generalized in multi-stranded systems.…

Mesoscale and Nanoscale Physics · Physics 2019-09-05 Madhumita Saha , Santanu K. Maiti

We revisit the theory of ion transport in parallel-plate channels and also discuss how the wettability of a solid and the mobility of adsorbed surface charges impact the transport of ions. It is shown that depending on the ratio of the…

Soft Condensed Matter · Physics 2021-09-29 Olga I. Vinogradova , Elena F. Silkina , Evgeny S. Asmolov