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 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 |
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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 13:32 |

Last Modified: | 24 Sep 2009 13:32 |

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