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Numerical solution of stochastic models of biochemical kinetics. (English) Zbl 1252.82008
Summary: 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.

82-08 Computational methods (statistical mechanics) (MSC2010)
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
92C40 Biochemistry, molecular biology
80A30 Chemical kinetics in thermodynamics and heat transfer
82B80 Numerical methods in equilibrium statistical mechanics (MSC2010)
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