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Analysis of stochastic chemical system close to a SNIPER bifurcation of its mean-field model
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SYSNO ASEP 0335835 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Analysis of stochastic chemical system close to a SNIPER bifurcation of its mean-field model Tvůrce(i) Erban, R. (GB)
Chapman, S.J. (GB)
Kevrekidis, I.G. (US)
Vejchodský, Tomáš (MU-W) RID, SAI, ORCIDZdroj.dok. Siam Journal on Applied Mathematics. - : SIAM Society for Industrial and Applied Mathematics - ISSN 0036-1399
Roč. 70, č. 3 (2009), s. 984-1016Poč.str. 33 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova stochastic bifurcations ; chemical Fokker-Planck equation Vědní obor RIV BA - Obecná matematika CEP GA102/07/0496 GA ČR - Grantová agentura ČR IAA100760702 GA AV ČR - Akademie věd CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000270193200018 DOI 10.1137/080731360 Anotace A framework for the analysis of stochastic models of chemical systems for which the deterministic mean-field description is undergoing a saddle-node infinite period (SNIPER) bifurcation is presented. Such a bifurcation occurs, for example, in the modeling of cell-cycle regulation. It is shown that the stochastic system possesses oscillatory solutions even for parameter values for which the mean-field model does not oscillate. The dependence of the mean period of these oscillations on the parameters of the model (kinetic rate constants) and the size of the system (number of molecules present) are studied. Our approach is based on the chemical Fokker-Planck equation. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2010
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