@article{ref1,
title="Stochastic fire-diffuse-fire model with realistic cluster dynamics",
journal="Physical review E: Statistical, nonlinear, and soft matter physics",
year="2010",
author="Calabrese, Ana and Fraiman, Daniel and Zysman, Daniel and Ponce Dawson, Silvina",
volume="82",
number="3 Pt 1",
pages="031910-031910",
abstract="Living organisms use waves that propagate through excitable media to transport information. Ca2+ waves are a paradigmatic example of this type of processes. A large hierarchy of Ca2+ signals that range from localized release events to global waves has been observed in Xenopus laevis oocytes. In these cells, Ca2+ release occurs trough inositol 1,4,5-trisphosphate receptors (IP3Rs) which are organized in clusters of channels located on the membrane of the endoplasmic reticulum. In this article we construct a stochastic model for a cluster of IP3R 's that replicates the experimental observations reported in [D. Fraiman, Biophys. J. 90, 3897 (2006)10.1529/biophysj.105.075911]. We then couple this phenomenological cluster model with a reaction-diffusion equation, so as to have a discrete stochastic model for calcium dynamics. The model we propose describes the transition regimes between isolated release and steadily propagating waves as the IP3 concentration is increased.<p /> <p>Language: en</p>",
language="en",
issn="1539-3755",
doi="",
url="http://dx.doi.org/"
}