dorsal/arxiv
View SchemaDiscrete stochastic modeling of calcium channel dynamics
| Authors | Markus Baer, Martin Falcke, Herbert Levine, Lev S. Tsimring |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9910001 |
| URL | https://arxiv.org/abs/patt-sol/9910001 |
| DOI | 10.1103/PhysRevLett.84.5664 |
Abstract
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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"date_created": "2026-03-02T18:00:29.405000Z",
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"abstract": "We propose a simple discrete stochastic model for calcium dynamics in living\ncells. Specifically, the calcium concentration distribution is assumed to give\nrise to a set of probabilities for the opening/closing of channels which\nrelease calcium thereby changing those probabilities. We study this model in\none dimension, analytically in the mean-field limit of large number of channels\nper site N, and numerically for small N. As the number of channels per site is\nincreased, the transition from a non-propagating region of activity to a\npropagating one changes in nature from one described by directed percolation to\nthat of deterministic depinning in a spatially discrete system. Also, for a\nsmall number of channels a propagating calcium wave can leave behind a novel\nfluctuation-driven state, in a parameter range where the limiting deterministic\nmodel exhibits only single pulse propagation.",
"arxiv_id": "patt-sol/9910001",
"authors": [
"Markus Baer",
"Martin Falcke",
"Herbert Levine",
"Lev S. Tsimring"
],
"categories": [
"patt-sol",
"nlin.PS",
"q-bio.SC"
],
"doi": "10.1103/PhysRevLett.84.5664",
"title": "Discrete stochastic modeling of calcium channel dynamics",
"url": "https://arxiv.org/abs/patt-sol/9910001"
},
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