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  • Transition from stochastic to deterministic behaviour in dependence on the divergence of the system
    Marhl, Marko ; Krajnc, Borut, 1973- ; Kummer, Ursula
    Biochemical systems are usually modelled by ordinary differential equations (ODEs). However, due to small number of receptors and channels involved in some of these processes, it is important to ... study the influence of stochastic effects. For a particular mathematical model for intacellular calcium oscillations we have performed deterministic and stochastic simulations of simple and complex calcium oscillations and have studied the transition from stochastic to deterministic behaviour. We observe that the transition does not depend on the complexity of the oscillations, but it depends heavily on the attractive properties of the phase space of the system. As a quantitative measure of the attractive properties of the phase space we suggest the divergence of the system. We show that strong attractors, characterised by a considerable negative divergence, behave deterministic-like for lower particle numbers, whereas weak attractors with close to zero divergence require larger particle numbers. Thus, calculating the divergence should help in deciding which simulation method is suitable for a specific biochemical system
    Vir: 3rd Workshop on Computation of Biochemical Pathways and Genetic Networks, Villa Bosch, Heidelberg, October 6-7, 2003 : [proceedings] (str. 49-57)
    Vrsta gradiva - prispevek na konferenci ; neleposlovje za odrasle
    Leto - 2003
    Jezik - angleški
    COBISS.SI-ID - 12786696

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