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A Cell Growth Model Revisited

Abstract:

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 se...

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B van Brunt More by this author
Graeme Wake More by this author
Publication date:
2009
URN:
uuid:7a7c7ec7-dc5b-421b-a738-9897ce15fbac
Local pid:
oai:eprints.maths.ox.ac.uk:824

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