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Polynomial growth dynamics of telomere loss in a heterogeneous cell population. (English) Zbl 0908.92025
The paper describes a continuous time model for cell division. The main object of analysis is the chromosomal telomere length. Hypothetically the loss of telomeres explains the finite proliferative capacity of cell lines. The model is a system of first-order linear partial differential equations and is investigated by the classical approach. The authors find that the cell population is growing polynomially fast and lower telomere states grow faster. The asymptotic limit is determined only by the highest telomere state.
MSC:
92D25Population dynamics (general)
47D06One-parameter semigroups and linear evolution equations
47N60Applications of operator theory in biology and other sciences