Document Detail

Cells coupled by voltage-dependent gap junctions: the asymptotic dynamical limit.
MedLine Citation:
PMID:  12595119     Owner:  NLM     Status:  MEDLINE    
We study the steady state and dynamical properties of a pair of cells coupled by a voltage-dependent gap junction. The cells have linear membrane properties, and the gap junction is modelled using a simple Markov chain with a voltage-dependent transition matrix. We first show that the voltage-independent case is globally convergent using energy dissipation as a Lyapunov function for the cells, and standard results on the convergence of homogeneous Markov chains for the junction. For the voltage-dependent case, we use the difference in cell and gap junction time scales to reduce the coupled equations for cells and the gap junction to a single equation for the gap junction, but with a transition matrix that depends upon the current gap junction state. We identify cooperativity as key property behind the global convergence of Markov chains and investigate convergence of the voltage-dependent system by establishing some conditions under which cooperativity is preserved.
Stephen Baigent
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't    
Journal Detail:
Title:  Bio Systems     Volume:  68     ISSN:  0303-2647     ISO Abbreviation:  BioSystems     Publication Date:    2003 Feb-Mar
Date Detail:
Created Date:  2003-02-21     Completed Date:  2003-11-18     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  0430773     Medline TA:  Biosystems     Country:  Ireland    
Other Details:
Languages:  eng     Pagination:  213-22     Citation Subset:  IM    
Copyright Information:
Copyright 2002 Elsevier Science Ireland Ltd.
Centre for Non-linear Dynamics and Its Applications, University College London, Gower Street, London WC1E 6BT, UK.
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MeSH Terms
Cell Communication / physiology*
Gap Junctions / physiology*
Markov Chains

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