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Erschienen in:
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2013 | OriginalPaper | Buchkapitel

2. Stochastic Modelling in Life Sciences

verfasst von : Christiane Fuchs

Erschienen in: Inference for Diffusion Processes

Verlag: Springer Berlin Heidelberg

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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.

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Vorheriges Kapitel Introduction
Nächstes Kapitel Stochastic Differential Equations and Diffusions in a Nutshell
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Metadaten
Titel
Stochastic Modelling in Life Sciences
verfasst von
Christiane Fuchs
Copyright-Jahr
2013
Verlag
Springer Berlin Heidelberg
Buch
Inference for Diffusion Processes

Print ISBN: 978-3-642-25968-5

Electronic ISBN: 978-3-642-25969-2

Copyright-Jahr: 2013

DOI
https://doi.org/10.1007/978-3-642-25969-2_2