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Cells Coupled by Voltage-dependent Gap Junctions: the Asymptotic Dynamical Limit by Stephen Baigent is a Biochemistry, Genetics and Molecular Biology article available to read on EtoBox.

What is Cells Coupled by Voltage-dependent Gap Junctions: the Asymptotic Dynamical Limit about?

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.

Who reads Cells Coupled by Voltage-dependent Gap Junctions: the Asymptotic Dynamical Limit?

Author

Stephen Baigent

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0303-2647)

Published

2003

Language

EN

Field

Biochemistry, Genetics and Molecular Biology (Life Sciences)