Discrete stochastic modeling of calcium channel dynamics

Details Discrete stochastic modeling of calcium channel dynamics Discrete stochastic modeling of calcium channel dynamics

1999-10-04

arxiv.org/abs/patt-sol/9910001v2

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 5 figures, submitted to PRL

Scientific paper

10.1103/PhysRevLett.84.5664

We propose a simple discrete stochastic model for calcium dynamics in living cells. Specifically, the calcium concentration distribution is assumed to give rise to a set of probabilities for the opening/closing of channels which release calcium thereby changing those probabilities. We study this model in one dimension, analytically in the mean-field limit of large number of channels per site N, and numerically for small N. As the number of channels per site is increased, the transition from a non-propagating region of activity to a propagating one changes in nature from one described by directed percolation to that of deterministic depinning in a spatially discrete system. Also, for a small number of channels a propagating calcium wave can leave behind a novel fluctuation-driven state, in a parameter range where the limiting deterministic model exhibits only single pulse propagation.

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