Stochastic Modelling in Life Sciences

Christiane Fuchs
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Christiane Fuchs: Helmholtz Zentrum München, Institute for Bioinformatics and Systems Biology

Chapter Chapter 2 in Inference for Diffusion Processes, 2013, pp 9-30 from Springer

Abstract: 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.

Keywords: Stochastic Differential Equation; Compartment Model; Deterministic Model; Epidemic Model; Reaction Equation (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-25969-2_2

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DOI: 10.1007/978-3-642-25969-2_2

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