Modeling growth as a continuous time stochastic telomere-regulated process and the Gompertzian kinetics

Details Modeling growth as a continuous time stochastic telomere-regulated process and the Gompertzian kinetics Modeling growth as a continuous time stochastic telomere-regulated process and the Gompertzian kinetics

2008-07-10

arxiv.org/abs/0807.1750v1

Biology

Quantitative Biology

Cell Behavior

19 pages, 2 figures

Scientific paper

Telomere are nucleo-proteins located at the end terminal of eukaryotic chromosomes which shorten at each cell division. Recent evidences points to telomere as a cell clock mechanism which limits the total number of cell divisions (Hayflick limit) and decelerates cellular proliferation. In a recent work, simulations of a discrete time stochastic telomere regulated model for cell division produced growth curves similar to those observed in mesenchymal human stem cells and quantitatively very similar to Gompertzian Growth. In this work we considered the continuous time version of the stochastic telomere regulated model for cultured cell division. Instead of simulations, we obtained the analytic expression for the expected mean cell population. The growth curve obtained is still very close to a Gompertzian growth, within the limit of 2% of the final size. Moreover, Gompertzian growth is retrieved as a limit case. We also evaluate the mean telomere length, which can be checked against cell culture data. Gompertzian growth is observed in tumors, animals and tissue regeneration but its biological foundations are still unclear. This work adds a possible intrinsic control mechanism for this growth model.

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