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- W2011963327 abstract "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." @default.
- W2011963327 created "2016-06-24" @default.
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- W2011963327 date "2003-02-01" @default.
- W2011963327 modified "2023-10-16" @default.
- W2011963327 title "Cells coupled by voltage-dependent gap junctions: the asymptotic dynamical limit" @default.
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- W2011963327 doi "https://doi.org/10.1016/s0303-2647(02)00097-7" @default.
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