The Mathematical Institute, University of Oxford, Eprints Archive

A Cell Growth Model Revisited

Derfel, G and van Brunt, B and Wake, Graeme (2009) A Cell Growth Model Revisited. Not specified . (Submitted)



In this paper a stochastic model for the simultaneous growth and division of a cell-population cohort structured by size is formulated. This shows that the functional differential equation which describes the steady form of the steady-size distribution which is approached asymptotically and satisfies the well-known pantograph equation is more simply derived via a Poisson process. This firmly establishes the existence of the steady-size distribution and gives a form for it in terms of a sequence of probability distribution functions. Also it shows that the pantograph equation is a key equation for other situations where there is a distinct stochastic framework.

Item Type:Article
Subjects:O - Z > Partial differential equations
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:824
Deposited By: Dr M. Stoll
Deposited On:24 Sep 2009 12:32
Last Modified:29 May 2015 18:31

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