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A model of proliferating cell populations with inherited cycle length

โœ Scribed by G. F. Webb

Publisher
Springer
Year
1986
Tongue
English
Weight
687 KB
Volume
23
Category
Article
ISSN
0303-6812

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โœฆ Synopsis

A mathematical model of cell population growth introduced by J.L. Lebowitz and S.I. Rubinow is analyzed. Individual cells are distinguished by age and cell cycle length. The cell cycle length is viewed as an inherited property determined at birth. The density of the population satisfies a first order linear partial differential equation with initial and boundary conditions. The boundary condition models the process of cell division of mother cells and the inheritance of cycle length by daughter cells. The mathematical analysis of the model employs the theory of operator semigroups and the spectral theory of linear operators. It is proved that the solutions exhibit the property of asynchronous exponential growth.

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