Abstract

Whenever a system includes small molecular populations of only a few reactant species, deviations from the predictions of the deterministic differential equations of classical chemical kinetics are expected. In these cases, the adoption of a stochastic approach to modeling the dynamics of the system is recommended. After presenting the phenomenology of stochastic chemical kinetics, we present two models of stochastic differential equations: the master equation and the Langevin equation. We include simple didactic examples during the explanation of the physical concepts and the mathematical formalism.

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