Document Detail

The response of a spatially distributed neuron to white noise current injection.
MedLine Citation:
PMID:  454708     Owner:  NLM     Status:  MEDLINE    
The depolarization of passive nerve cylinder or dendritic tree in the equivalent cylinder representation is assumed to satisfy the cable equation. We consider in detail the effects of white noise current injection at a given location for the case of sealed end boundary conditions and for an initial resting state. The depolarization at a point is a Gaussian random process but is not Markovian. Expression (infinite series) are obtained for the expectation, variance, spatial and temporal covariances of the depolarization. We examine the steady state expectation and variance and investigate how these are approached in time over the whole neuronal surface. We consider the relative contributions of various terms in the series for the expectation and variance of the depolarization at x = 0 (soma, trigger zone, recording electrode) for various positions of the input process. It is found that different numbers of terms must be taken to obtain a reasonable approximation depending on whether the stimulus is at proximal, central or distal parts of the dendritic tree. We consider briefly the interspike time problem and see in an approximate way how spatial effects are important in determining the mean time between impulses.
F Y Wan; H C Tuckwell
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Publication Detail:
Type:  Comparative Study; Journal Article    
Journal Detail:
Title:  Biological cybernetics     Volume:  33     ISSN:  0340-1200     ISO Abbreviation:  Biol Cybern     Publication Date:  1979 Jun 
Date Detail:
Created Date:  1979-09-17     Completed Date:  1979-09-17     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  7502533     Medline TA:  Biol Cybern     Country:  GERMANY, WEST    
Other Details:
Languages:  eng     Pagination:  39-55     Citation Subset:  IM    
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MeSH Terms
Action Potentials
Axons / physiology
Cell Membrane / physiology
Dendrites / physiology*
Membrane Potentials*
Models, Neurological*
Motor Neurons / physiology
Neural Conduction
Neurons / physiology*
Synapses / physiology

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

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