Literature DB >> 4655665

Finite difference solution for biopotentials of axially symmetric cells.

M Klee, R Plonsey.   

Abstract

The finite difference equations necessary for calculating the three-dimensional, time-varying biopotentials within and surrounding axially symmetric cells are presented. The method of sucessive overrelaxation is employed to solve these equations and is shown to be rapidly convergent and accurate for the exemplary problem of a spheroidal cell under uniform field stimulation.

Mesh:

Year:  1972        PMID: 4655665      PMCID: PMC1484168          DOI: 10.1016/S0006-3495(72)86188-5

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


  5 in total

1.  Distributions of potential in cylindrical coordinates and time constants for a membrane cylinder.

Authors:  W Rall
Journal:  Biophys J       Date:  1969-12       Impact factor: 4.033

2.  The extracellular potential field of the single active nerve fiber in a volume conductor.

Authors:  J Clark; R Plonsey
Journal:  Biophys J       Date:  1968-07       Impact factor: 4.033

3.  Passive membrane potentials: a generalization of the theory of electrotonus.

Authors:  D Hellerstein
Journal:  Biophys J       Date:  1968-03       Impact factor: 4.033

4.  Considerations of quasi-stationarity in electrophysiological systems.

Authors:  R Plonsey; D B Heppner
Journal:  Bull Math Biophys       Date:  1967-12

5.  The spatial variation of membrane potential near a small source of current in a spherical cell.

Authors:  R S Eisenberg; E Engel
Journal:  J Gen Physiol       Date:  1970-06       Impact factor: 4.086

  5 in total
  5 in total

1.  Analytical description of transmembrane voltage induced by electric fields on spheroidal cells.

Authors:  T Kotnik; D Miklavcic
Journal:  Biophys J       Date:  2000-08       Impact factor: 4.033

2.  Analysis of electric field stimulation of single cardiac muscle cells.

Authors:  L Tung; J R Borderies
Journal:  Biophys J       Date:  1992-08       Impact factor: 4.033

3.  Intracellular biopotentials during static extracellular stimulation.

Authors:  M Klee
Journal:  Biophys J       Date:  1973-08       Impact factor: 4.033

4.  Integral equation solution for biopotentials of single cells.

Authors:  M Klee; R Plonsey
Journal:  Biophys J       Date:  1972-12       Impact factor: 4.033

5.  Numerical solution of the bioelectric field of the e.r.g.

Authors:  M J Doslak; R Plonsey; C W Thomas
Journal:  Med Biol Eng Comput       Date:  1981-03       Impact factor: 2.602

  5 in total

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