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The asynchronous exponential growth property in a model for the kinetic heterogeneity of tumour cell populations. (English) Zbl 1084.92020

Summary: A continuous cell population model, which represents both the cell cycle phase structure and the kinetic heterogeneity of the population following S. E. Shackney’s ideas [J. Theor. Biol. 38, 305-333 (1973)] is studied. The asynchronous exponential growth property is proved in the framework of the theory of strongly continuous semigroups of bounded linear operators.

MSC:

92C50 Medical applications (general)
92C37 Cell biology
47D03 Groups and semigroups of linear operators
92D25 Population dynamics (general)
45K05 Integro-partial differential equations
47N60 Applications of operator theory in chemistry and life sciences
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