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A CELL GROWTH MODEL ADAPTED FOR THE MINIMUM CELL SIZE DIVISION
Published online by Cambridge University Press: 01 December 2015
Abstract
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We study a cell growth model with a division function that models cells which divide only after they have reached a certain minimum size. In contrast to the cases studied in the literature, the determination of the steady size distribution entails an eigenvalue that is not known explicitly, but is defined through a continuity condition. We show that there is a steady size distribution solution to this problem.
MSC classification
Secondary:
34K10: Boundary value problems
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- © 2015 Australian Mathematical Society
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