Tissues in biological objects from the point of view of electromagnetic effects must be modeled not only for their conductivity. The ionic double layer induced by the electric field, built by electrolytic diffusion, m...
supported by Simons Foundation Mathematics and Physical Sciences-Collaboration Grants for Mathematicians 581822。
Poisson-Nernst-Planck systems are basic models for electrodiffusion process,particularly,for ionic flows through ion channels embedded in cell membranes.In this article,we present a brief review on a geometric singula...
J.Ding was supported by the Natural Science Foundation of Jiangsu Province(Grant BK20210443);by the National Natural Science Foundation of China(Grant 12101264);by the Shuangchuang program of Jiangsu Province(Grant 1142024031211190)。
In this paper,we propose a structure-preserving numerical scheme for the size-modified Poisson-Nernst-Planck-Cahn-Hilliard(SPNPCH)equations derived from the free energy including electrostatic energies,entropies,steri...
This work is partially supported by the National Key R&D Program of China,Project Number 2021YFA1002800;The work of L.Li was partially sponsored by the Strategic Priority Research Program of Chinese Academy of Sciences,Grant No.XDA25010403,and NSFC 11901389,12031013;The work of J.-G.Liu was supported by NSF DMS-2106988.
We consider in this paper random batch interacting particle methods forsolving the Poisson-Nernst-Planck (PNP) equations, and thus the Poisson-Boltzmann(PB) equation as the equilibrium, in the external unbounded domai...
supported by the National Natural Science Foundation of China(12001077);the Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202000618);Chongqing University of Posts and Telecommunications startup fund(A2018-128);supported by the National Natural Science Foundation of China(11926316,11531010);supported by National Natural Science Foundation of China(11901537)。
In this work,the Poisson-Nernst-Planck-Fourier system in three dimensions is considered.For when the initial data regards a small perturbation around the constant equilibrium state in a H^(3)∩■^(-s)(0≤s≤1/2)norm,w...
A.R.,G.L.and A.G.thank the University of Catania(Piano della Ricerca di Ateneo 2016-2018)for partial financial support;G.R.and C.A.thank ITN-ETN Horizon 2020 Project ModCompShock,Modeling and Computation on Shocks and Interfaces,Project Reference 642768;the Italian Ministry of Instruction,University and Research(MIUR)to support this research with funds coming fromPRIN Project 2017(No.2017KKJP4X)entitled"Innovative numerical methods for evolutionary partial differential equations and applications".
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 membr...