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

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Abstract
In this paper a stochastic model for the simultaneous growth and division of a cellpopulation cohort structured by size is formulated. This shows that the functional differential equation which describes the steady form of the steadysize distribution which is approached asymptotically and satisfies the wellknown pantograph equation is more simply derived via a Poisson process. This firmly establishes the existence of the steadysize 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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