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Spatial Stochastic Intracellular Kinetics: A Review of Modelling Approaches

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http://link.springer.com/10.1007/s11538-018-0443-1
Original languageEnglish
Number of pages50
JournalBulletin of Mathematical Biology
Early online date21 May 2018
DOIs
Publication statusE-pub ahead of print - 21 May 2018

Abstract

Models of chemical kinetics that incorporate both stochasticity and diffusion are an increasingly common tool for studying biology. The variety of competing models is vast, but two stand out by virtue of their popularity: the reaction–diffusion master equation and Brownian dynamics. In this review, we critically address a number of open questions surrounding these models: How can they be justified physically? How do they relate to each other? How do they fit into the wider landscape of chemical models, ranging from the rate equations to molecular dynamics? This review assumes no prior knowledge of modelling chemical kinetics and should be accessible to a wide range of readers.

    Research areas

  • Brownian dynamics, Reaction–diffusion master equation, Spatial models

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