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Literature DB >> 14268950

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

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

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Year: 1965 PMID： 14268950 PMCID： PMC1367714 DOI： 10.1016/s0006-3495(65)86707-8

Source DB: PubMed Journal: Biophys J ISSN： 0006-3495 Impact factor: 4.033

2 in total

1. A quantitative description of membrane current and its application to conduction and excitation in nerve.

Authors: A L HODGKIN; A F HUXLEY
Journal: J Physiol Date: 1952-08 Impact factor: 5.182

2. Electrokinetic membrane processes in relation to properties of excitable tissues. I. Experiments on oscillatory transport phenomena in artificial membranes.

Authors: T TEORELL
Journal: J Gen Physiol Date: 1959-03-20 Impact factor: 4.086

2 in total

21 in total

1. Constant fields and constant gradients in open ionic channels.

Authors: D P Chen; V Barcilon; R S Eisenberg
Journal: Biophys J Date: 1992-05 Impact factor: 4.033

2. The electrical conductance of semipermeable membranes III. bipolar flow-symmetric electrolytes.

Authors: L J Bruner
Journal: Biophys J Date: 2008-12-31 Impact factor: 4.033

3. A network thermodynamic method for numerical solution of the Nernst-Planck and Poisson equation system with application to ionic transport through membranes.

Authors: J Horno; F González-Caballero; C F González-Fernández
Journal: Eur Biophys J Date: 1990 Impact factor: 1.733

4. Digital simulation of associated and nonassociated liquid membrane electrochemical properties.

Authors: F S Stover; R P Buck
Journal: Biophys J Date: 1976-07 Impact factor: 4.033

5. Nutrient transport suggests an evolutionary basis for charged archaeal surface layer proteins.

Authors: Po-Nan Li; Jonathan Herrmann; Bradley B Tolar; Frédéric Poitevin; Rasika Ramdasi; John R Bargar; David A Stahl; Grant J Jensen; Christopher A Francis; Soichi Wakatsuki; Henry van den Bedem
Journal: ISME J Date: 2018-06-13 Impact factor: 10.302

10. A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore.

Authors: Jehanzeb Hameed Chaudhry; Jeffrey Comer; Aleksei Aksimentiev; Luke N Olson
Journal: Commun Comput Phys Date: 2014-01 Impact factor: 3.246

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

1. A quantitative description of membrane current and its application to conduction and excitation in nerve.

2. Electrokinetic membrane processes in relation to properties of excitable tissues. I. Experiments on oscillatory transport phenomena in artificial membranes.

1. Constant fields and constant gradients in open ionic channels.

2. The electrical conductance of semipermeable membranes III. bipolar flow-symmetric electrolytes.

3. A network thermodynamic method for numerical solution of the Nernst-Planck and Poisson equation system with application to ionic transport through membranes.

4. Digital simulation of associated and nonassociated liquid membrane electrochemical properties.

5. Nutrient transport suggests an evolutionary basis for charged archaeal surface layer proteins.

6. Ion flow through a membrane: concentration and current responses to a step potential change.

7. Ion flow through a membrane: effect of chemical reaction on time dependence.

8. Single-ion electrodiffusion models of the late sodium and potassium currents in the giant axon of the squid.

9. The excitable membrane. A physiochemical model.

10. A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore.