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Means and Variances in Stochastic Multistage Cancer Models

Part of: Markov processes Mathematical biology in general

Published online by Cambridge University Press:  04 February 2016

Aidan Sudbury
Aidan Sudbury*
Affiliation:
Monash University
*
∗ Postal address: School of Mathematical Sciences, Monash University, PO Box 28M, VIC 3800, Australia. Email address: aidan.sudbury@monash.edu
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Abstract

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A widely used model of carcinogenesis assumes that cells must go through a process of acquiring several mutations before they become cancerous. This implies that at any time there will be several populations of cells at different stages of mutation. In this paper we give exact expressions for the expectations and variances of the number of cells in each stage of such a stochastic multistage cancer model.

Keywords

Multistage cancer modelmutation chain

MSC classification

Primary: 60J20: Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) 92B05: General biology and biomathematics
Type
Research Article
Information
Journal of Applied Probability , Volume 49 , Issue 2 , June 2012 , pp. 590 - 594
Copyright
© Applied Probability Trust 

References

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