Abstract
Models of biochemical reaction systems typically have large state spaces and complex structure. Stochastic limit theorems provide one approach to deriving less complex and more tractable models. Specifying models as solutions of equations of the form (1.8) enables exploitation of the law of large numbers and central limit theorem for the driving Poisson processes to give analytic derivations of the simplified models.
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Anderson, D.F., Kurtz, T.G. (2015). Analytic approaches to model simplification and approximation. In: Stochastic Analysis of Biochemical Systems. Mathematical Biosciences Institute Lecture Series(), vol 1.2. Springer, Cham. https://doi.org/10.1007/978-3-319-16895-1_4
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DOI: https://doi.org/10.1007/978-3-319-16895-1_4
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16894-4
Online ISBN: 978-3-319-16895-1
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