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Dynamics of structured populations with inherited properties

โœ Scribed by G.F. Webb

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
496 KB
Volume
13
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

A mathematical model of an age-structured proliferating cell population is analyzed. The model allows the inheritance of cycle length from mother cells to daughter cells. It is proved that the solutions have the property of asynchronous exponential growth provided the transition kernel of inheritance satisfies smoothness and positivity requirements. The method of proof uses the theory of semigroups of operators and the theory of positive operators.

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