Branching Processes in Biology by Marek Kimmel & David E. Axelrod

Author:Marek Kimmel & David E. Axelrod
Language: eng
Format: epub
Publisher: Springer New York, New York, NY

Let us denote by the expected cell count in the mth compartment and by the expected cell outflow rate from the mth compartment, at time t. We have

(6.50)

It is assumed now that before the beginning of stathmokinesis, i.e., for , the cell population was in the exponential steady state (ESS), i.e., expected cell counts in all the cell cycle compartments were proportional to . The constant b is the Malthusian parameter of exponential growth.

Balancing of expected ESS cell flows from one cell cycle compartment to another, as described in more detail in Kimmel (1980a, b), we obtain

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