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An Application of General Branching Processes to a Cell Cycle model With Two Uncoupled Subcycles and Unequal Cell Division

Alexandersson M.

International Journal of Applied Mathematics and Computer Science

2000

Vol. 10, no 1

131-145

A cell population model is constructed and analysed in the frameworkof general branching process theory. The model uses the idea that the DNA division cycle and the cell growth cycle are loosely coupled. The cell division is assumed to be unequal and the structure variables of the modelare size and growth, where the growth is regulated by supramitotic growth control. An explicit expression for the stable birth type distributionis given and asymptotics, such as the alpha- and beta_1-curve and various size distributions, are derived. We also prove that the microheterogeneity ingrowth causes the mother-daughter life length correlation to be non-negative.