Journal of Applied Probability

Means and variances in stochastic multistage cancer models

Aidan Sudbury

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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 .

Article information

J. Appl. Probab., Volume 49, Number 2 (2012), 590-594.

First available in Project Euclid: 16 June 2012

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Zentralblatt MATH identifier

Primary: 60J20: Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) [See also 90B30, 91D10, 91D35, 91E40] 92B05: General biology and biomathematics

Multistage cancer model mutation chain


Sudbury, Aidan. Means and variances in stochastic multistage cancer models. J. Appl. Probab. 49 (2012), no. 2, 590--594. doi:10.1239/jap/1339878807.

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