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Numerical solution of stochastic models of biochemical kinetics (2009)
| Venue: | Canadian Applied Mathematics Quarterly, 17(3), 523 – 554 |
| Citations: | 1 - 1 self |
BibTeX
@INPROCEEDINGS{Ilie09numericalsolution,
author = {Silvana Ilie and Wayne H. Enright and Kenneth R. Jackson},
title = {Numerical solution of stochastic models of biochemical kinetics},
booktitle = {Canadian Applied Mathematics Quarterly, 17(3), 523 – 554},
year = {2009}
}
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Abstract
Cellular processes are typically viewed as systems of chemical reactions. Often such processes involve some species with low population numbers, and where 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.
Keyphrases
stochastic model numerical solution biochemical kinetics cellular process often process single cell well-stirred biochemical system numerical method discus important recent advance traditional deterministic model future research key topic chemical reaction classical chemical kinetics low population number random fluctuation
