On Discovering Low Order Models in Biochemical Reaction Kinetics

Laura Giarre, Bamieh

    Risultato della ricerca: Other

    4 Citazioni (Scopus)

    Abstract

    We develop a method by which a large number of differential equations representing biochemical reaction kinetics may be represented by a smaller number of differential equations. The basis of our technique is a conjecture that the high dimension equations of biochemical kinetics, which involve reaction terms of specific forms, are actually implementing a low dimension system whose behavior requires right hand sides that can not be biochemically implemented. For systems that satisfy this conjecture, we develop a simple approximation scheme based on multilinear algebra that extracts the low dimensional system from simulations of the high dimension system. We demonstrate this technique on a standard 10 dimensional model of circadian oscillations and obtain a 3 dimensional sub-model that has the same rhythmic, birhythmic and chaotic behavior of the original model.
    Lingua originaleEnglish
    Pagine2702-2707
    Numero di pagine6
    Stato di pubblicazionePublished - 2007

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    Reaction kinetics
    Differential equations
    Algebra
    Kinetics

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

    Cita questo

    On Discovering Low Order Models in Biochemical Reaction Kinetics. / Giarre, Laura; Bamieh.

    2007. 2702-2707.

    Risultato della ricerca: Other

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    AB - We develop a method by which a large number of differential equations representing biochemical reaction kinetics may be represented by a smaller number of differential equations. The basis of our technique is a conjecture that the high dimension equations of biochemical kinetics, which involve reaction terms of specific forms, are actually implementing a low dimension system whose behavior requires right hand sides that can not be biochemically implemented. For systems that satisfy this conjecture, we develop a simple approximation scheme based on multilinear algebra that extracts the low dimensional system from simulations of the high dimension system. We demonstrate this technique on a standard 10 dimensional model of circadian oscillations and obtain a 3 dimensional sub-model that has the same rhythmic, birhythmic and chaotic behavior of the original model.

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