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| In this talk we consider general reaction systems in which various reactions occur between biological or chemical species. To investigate the dynamics of the reaction systems such as genetic networks, enzymatic reaction systems and epidemic compartment models, researchers utilize mathematical models based on the principle of mass-action kinetics, Michaelis-Menten kinetics or other kinetics. If a reaction system is characterized by the interactions of a small number of species, a stochastic modeling should be used to describe the dynamics of the system due to the intrinsic fluctuations.
We first introduce mathematical background for describing the reaction systems and then we present recent stochastic computational methods for time-evolution of the reaction networks. |
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