A branching process version of the Bell–Anderson cell population model

A branching process version of the Bell–Anderson cell population model

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Article ID: iaor20003232
Country: United States
Volume: 15
Issue: 4
Start Page Number: 719
End Page Number: 729
Publication Date: Jan 1999
Journal: Communications in Statistics - Stochastic Models
Authors:
Abstract:

We describe a branching process version of the Bell–Anderson model and discuss the existence of a stable cell size distribution. Moreover, some quantities such as the α-curve and the β-curve, which are of interest for biologists, are shown to have natural interpretations within the context of the model. We also show that some empirical facts about the α-curve and the β-curve as well as about the correlations between cell cycle times of near relatives (siblings, mother–daughter, etc.) are direct consequences of the model.

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