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Volume 17,     Number 3,     Fall 2009

 

NUMERICAL SOLUTION OF STOCHASTIC
MODELS OF BIOCHEMICAL KINETICS
SILVANA ILIE, WAYNE H. ENRIGHT
AND KENNETH R. JACKSON

Abstract. Cellular processes are typically viewed as systems of chemical reactions. Often such processes involve some species with low population numbers, for which a traditional deterministic model of classical chemical kinetics fails to accurately capture the dynamics of the system. In this case, stochastic models are needed to account for the random fluctuations observed at the level of a single cell. We survey the stochastic models of well-stirred biochemical systems and discuss important recent advances in the development of numerical methods for simulating them. Finally, we identify some key topics for future research.

 

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