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Stochastic Simulations in Systems Biology

Copyright © 2012. 20 pages.
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DOI: 10.4018/978-1-61350-116-0.ch012, ISBN13: 9781613501160, ISBN10: 1613501161, EISBN13: 9781613501177
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MLA

Hafner, Marc and Heinz Koeppl. "Stochastic Simulations in Systems Biology." Handbook of Research on Computational Science and Engineering: Theory and Practice. IGI Global, 2012. 267-286. Web. 23 May. 2012. doi:10.4018/978-1-61350-116-0.ch012

APA

Hafner, M., & Koeppl, H. (2012). Stochastic Simulations in Systems Biology. In J. Leng, & W. Sharrock (Eds.), Handbook of Research on Computational Science and Engineering: Theory and Practice (pp. 267-286). Hershey, PA: Engineering Science Reference. doi:10.4018/978-1-61350-116-0.ch012

Chicago

Hafner, Marc and Heinz Koeppl. "Stochastic Simulations in Systems Biology." In Handbook of Research on Computational Science and Engineering: Theory and Practice, ed. J. Leng and Wes Sharrock, 267-286 (2012), accessed May 23, 2012. doi:10.4018/978-1-61350-116-0.ch012

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Abstract

With the advances in measurement technology for molecular biology, predictive mathematical models of cellular processes come in reach. A large fraction of such models addresses the kinetics of interaction between biomolecules such as proteins, transcription factors, genes, and messenger RNA. In contrast to classical chemical kinetics – utilizing the reaction-rate equation – the small volume of cellular compartments requires accounting for the stochasticity of chemical kinetics. In this chapter, we discuss methods to generate sample paths of this underlying stochastic process for situations where the well-stirredness or fast-diffusion assumption holds true. We introduce various approximations to exact simulation algorithms that are more efficient in terms of computational complexity. Moreover, we discuss algorithms that account for the multi-scale nature of cellular reaction events.
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Stochastic Simulations in Systems Biology (pages 267-286)
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