Volume 76, Number 1, October 2006
|Page(s)||163 - 169|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||01 September 2006|
Electrostatics of ions inside the nanopores and trans-membrane channels
Instituto de Física, Universidade Federal do Rio Grande do Sul Caixa Postal 15051, CEP 91501-970, Porto Alegre, RS, Brazil
Corresponding author: email@example.com
Accepted: 11 August 2006
A model of a finite cylindrical ion channel through a phospholipid membrane of width L separating two electrolyte reservoirs is studied. Analytical solution of the Poisson equation is obtained for an arbitrary distribution of ions inside the trans-membrane pore. The solution is asymptotically exact in the limit of large ionic strength of electrolyte on the two sides of membrane. However, even for physiological concentrations of electrolyte, the electrostatic barrier sizes found using the theory are in excellent agreement with the numerical solution of the Poisson equation. The analytical solution is used to calculate the electrostatic potential energy profiles for pores containing charged protein residues. Availability of a semi-exact interionic potential should greatly facilitate the study of ionic transport through nanopores and ion channels.
PACS: 87.16.Uv – Active transport processes; ion channels / 87.10.+e – Biological and medical physics: General theory and mathematical aspects / 41.20.Cv – Electrostatics; Poisson and Laplace equations, boundary-value problems
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.