Literature DB >> 6631262

Threshold conditions for a diffusive model of a myelinated axon.

J Bell, C Cosner.   

Abstract

This paper develops and uses comparison principles to study the time evolution of solutions to problems of the form (formula; see text) Such a system models an infinite myelinated axon with discrete, excitable nodes spaced unit distant apart.

Mesh：

Year:  1983        PMID： 6631262     DOI： 10.1007/BF00275909

Source DB:  PubMed          Journal:  J Math Biol        ISSN： 0303-6812            Impact factor:   2.259


  8 in total

1.  ANALYSIS OF A MYELINATED NERVE MODEL.

Authors:  A C SCOTT
Journal:  Bull Math Biophys       Date:  1964-09

2.  Computation of impulse initiation and saltatory conduction in a myelinated nerve fiber.

Authors:  R FITZHUGH
Journal:  Biophys J       Date:  1962-01       Impact factor: 4.033

3.  Evidence for saltatory conduction in peripheral myelinated nerve fibres.

Authors:  A F Huxley; R Stämpfli
Journal:  J Physiol       Date:  1949-05-15       Impact factor: 5.182

4.  Analysis of a model for excitation of myelinated nerve.

Authors:  D R McNeal
Journal:  IEEE Trans Biomed Eng       Date:  1976-07       Impact factor: 4.538

5.  Parametric dependence of conduction speed for a diffusive model of a myelinated axon.

Authors:  J Bell
Journal:  IMA J Math Appl Med Biol       Date:  1986

6.  Computation of impulse conduction in myelinated fibers; theoretical basis of the velocity-diameter relation.

Authors:  L Goldman; J S Albus
Journal:  Biophys J       Date:  1968-05       Impact factor: 4.033

7.  Myelin.

Authors:  P Morell; W T Norton
Journal:  Sci Am       Date:  1980-05       Impact factor: 2.142

8.  A mathematical evaluation of the core conductor model.

Authors:  J Clark; R Plonsey
Journal:  Biophys J       Date:  1966-01       Impact factor: 4.033
  8 in total
  2 in total

1.  An analysis of a dendritic neuron model with an active membrane site.

Authors:  S M Baer; C Tier
Journal:  J Math Biol       Date:  1986       Impact factor: 2.259

2.  A model of a myelinated nerve axon: threshold behaviour and propagation.

Authors:  P Grindrod; B D Sleeman
Journal:  J Math Biol       Date:  1985       Impact factor: 2.259
  2 in total

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