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PMID: 14268950 Published · ppublish English Journal Article

THE NUMERICAL SOLUTION OF THE TIME-DEPENDENT NERNST-PLANCK EQUATIONS.

Biophysical journal ·Vol. 5 ·1965-03-00 ·Pages 145-62

COHEN H, COOLEY JW

Abstract

Calculations are reported of the time-dependent Nernst-Planck equations for a thin permeable membrane between electrolytic solutions. Charge neutrality is assumed for the time-dependent case. The response of such a membrane system to step current input is measured in terms of the time and space changes in concentration, electrical potential, and effective conductance. The report also includes discussion of boundary effects that occur when charge neutrality does not hold in the steady-state case.

Keywords
BIOPHYSICS CHEMISTRY PHYSICAL ELECTROLYTES HYDROCHLORIC ACID ION EXCHANGE MATHEMATICS MODELS THEORETICAL PERMEABILITY SODIUM CHLORIDE
MeSH Terms
Biophysical Phenomena Biophysics Cell Membrane Permeability Chemical Phenomena Chemistry, Physical Electrolytes Hydrochloric Acid Ion Exchange Mathematics Membranes Models, Theoretical Permeability Sodium Chloride Solutions
Chemicals
Electrolytes Solutions Sodium Chloride Hydrochloric Acid
Authors & Affiliations
2 authors, click to expand affiliations / ORCID
COHEN H
COOLEY J W
References (2)
2 references, click to expand
  1. A quantitative description of membrane current and its application to conduction and excitation in nerve.
    J Physiol. 1952 Aug;117(4):500-44 PMID: 12991237
  2. Electrokinetic membrane processes in relation to properties of excitable tissues. I. Experiments on oscillatory transport phenomena in artificial membranes.
    J Gen Physiol. 1959 Mar 20;42(4):831-45 PMID: 13631207
Article Info
Journal
Biophysical journal
Abbr.
Biophys J
ISSN
0006-3495
Published
1965-03-00
Pages
145-62
Language
English
Region
United States
NLM ID
0370626
PMCID
PMC1367714
Subset
OM
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