Cells, cancer, and rare events: homeostatic metastability in stochastic non-linear dynamics models of skin cell proliferation

Patrick B. Warren

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arXiv · 0903.0816

Cells, cancer, and rare events: homeostatic metastability in stochastic non-linear dynamics models of skin cell proliferation

Patrick B. Warren

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Abstract

A recently proposed single progenitor cell model for skin cell proliferation [Clayton et al., Nature v446, 185 (2007)] is extended to incorporate homeostasis as a fixed point of the dynamics. Unlimited cell proliferation in such a model can be viewed as a paradigm for the onset of cancer. A novel way in which this can arise is if the homeostatic fixed point becomes metastable, so that the cell populations can escape from the homeostatic basin of attraction by a large but rare stochastic fluctuation. Such an event can be viewed as the final step in a multi-stage model of carcinogenesis. This offers a possible explanation for the peculiar epidemiology of lung cancer in ex-smokers.

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Patrick B. Warren. 2009-03-04. Cells, cancer, and rare events: homeostatic metastability in stochastic non-linear dynamics models of skin cell proliferation. https://arxiv.org/abs/0903.0816

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