Modeling and simulation of ion channels

C Maffeo, S Bhattacharya, J Yoo, D Wells… - Chemical …, 2012 - ACS Publications
Transport of ions through pores in membranes is a process of fundamental importance to
cell biology. In living organisms, such transport is facilitated by ion channels that utilize the …

Electroosmosis in nanopores: computational methods and technological applications

A Gubbiotti, M Baldelli, G Di Muccio… - … in Physics: X, 2022 - Taylor & Francis
Electroosmosis is a fascinating effect where liquid motion is induced by an applied electric
field. Counter ions accumulate in the vicinity of charged surfaces, triggering a coupling …

Molecular mean-field theory of ionic solutions: A Poisson-Nernst-Planck-Bikerman model

JL Liu, B Eisenberg - Entropy, 2020 - mdpi.com
We have developed a molecular mean-field theory—fourth-order Poisson–Nernst–Planck–
Bikerman theory—for modeling ionic and water flows in biological ion channels by treating …

Poisson-Nernst-Planck-Fermi theory for modeling biological ion channels

JL Liu, B Eisenberg - The Journal of chemical physics, 2014 - pubs.aip.org
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 …

Simulations of cyclic voltammetry for electric double layers in asymmetric electrolytes: A generalized modified poisson–nernst–planck model

H Wang, A Thiele, L Pilon - The Journal of Physical Chemistry C, 2013 - ACS Publications
This paper presents a generalized modified Poisson–Nernst–Planck (MPNP) model derived
from first principles based on excess chemical potential and Langmuir activity coefficient to …

Multiscale modeling of ion diffusion in cement paste: electrical double layer effects

Y Yang, RA Patel, SV Churakov, NI Prasianakis… - Cement and Concrete …, 2019 - Elsevier
Understanding the mechanism of ion diffusion in hardened cement paste is of great
importance for predicting long-term durability of concrete structures. Gel pores in calcium …

A positive and energy stable numerical scheme for the Poisson–Nernst–Planck–Cahn–Hilliard equations with steric interactions

Y Qian, C Wang, S Zhou - Journal of Computational Physics, 2021 - Elsevier
In this work, we consider numerical methods for the Poisson–Nernst–Planck–Cahn–Hilliard
(PNPCH) equations with steric interactions, which correspond to a non-constant mobility H …

Accurate modeling of a biological nanopore with an extended continuum framework

K Willems, D Ruić, FLR Lucas, U Barman, N Verellen… - Nanoscale, 2020 - pubs.rsc.org
Despite the broad success of biological nanopores as powerful instruments for the analysis
of proteins and nucleic acids at the single-molecule level, a fast simulation methodology to …

Positivity preserving finite difference methods for Poisson–Nernst–Planck equations with steric interactions: Application to slit-shaped nanopore conductance

J Ding, Z Wang, S Zhou - Journal of Computational Physics, 2019 - Elsevier
To study ion transport in electrolyte solutions, we propose numerical methods for a modified
Poisson–Nernst–Planck model with ionic steric effects (SPNP). Positivity preserving …

Local structure-preserving relaxation method for equilibrium of charged systems on unstructured meshes

Z Qiao, Z Xu, Q Yin, S Zhou - SIAM Journal on Scientific Computing, 2024 - SIAM
This work considers charged systems described by the modified Poisson–Nernst–Planck
(PNP) equations, which incorporate ionic steric effects and the Born solvation energy for …