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.
|Subjects:||O - Z > Partial differential equations|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Dr M. Stoll|
|Deposited On:||24 Sep 2009 12:32|
|Last Modified:||29 May 2015 18:31|
Repository Staff Only: item control page