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Stochastic Modelling in Life Sciences

In: Inference for Diffusion Processes

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  • Christiane Fuchs

    (Helmholtz Zentrum München, Institute for Bioinformatics and Systems Biology)

Abstract

Key mechanisms in life sciences can often be assessed by application of mathematical models. Moreover, real-world phenomena can particularly be captured when such a model allows for random events. This chapter motivates and reviews representative application fields from life sciences and appropriate mathematical models: for the spread of infectious diseases and for processes in molecular biology, biochemistry and genetics. These applications and models recur throughout the entire book. The chapter describes the dynamical evolution of the considered systems in terms of three established types of processes: stochastic jump processes, deterministic state-continuous processes and stochastic diffusion processes. Simulation of such models is explained, and the important role of randomness is discussed.

Suggested Citation

  • Christiane Fuchs, 2013. "Stochastic Modelling in Life Sciences," Springer Books, in: Inference for Diffusion Processes, edition 127, chapter 0, pages 9-30, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-25969-2_2
    DOI: 10.1007/978-3-642-25969-2_2
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