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Stochastic models in cell kinetics

Published online by Cambridge University Press:  14 July 2016

Peter J. Brockwell
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Abstract

We discuss the role of stochastic processes in modelling the life-cycle of a biological cell and the growth of cell populations. Results for multiphase age-dependent branching processes have proved invaluable for the interpretation of many of the basic experimental studies of the life-cycle. Moreover problems from cell kinetics, in particular those related to diurnal rhythm in cell-growth, have stimulated research into ‘periodic' renewal theory, and the asymptotic behaviour of populations of cells with periodic death rate.

Keywords

CELL KINETICSAGE-DEPENDENT BRANCHING PROCESSESPERIODIC EXPONENTIAL GROWTH
Type
Part 3 - Stochastic Models in Biology and Field Trials
Information
Journal of Applied Probability , Volume 25 , Issue A , 1988 , pp. 91 - 111
Copyright
Copyright © Applied Probability Trust 1988 

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