Aging and Immortality in a Cell Proliferation Model

Biology – Quantitative Biology – Cell Behavior

Scientific paper

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6 pages, 1 figure, 2-column revtex4 format; version 2: final published form; contains various improvements in response to refe

Scientific paper

10.1016/j.jtbi.2007.06.009

We investigate a model of cell division in which the length of telomeres within the cell regulate their proliferative potential. At each cell division the ends of linear chromosomes change and a cell becomes senescent when one or more of its telomeres become shorter than a critical length. In addition to this systematic shortening, exchange of telomere DNA between the two daughter cells can occur at each cell division. We map this telomere dynamics onto a biased branching diffusion process with an absorbing boundary condition whenever any telomere reaches the critical length. As the relative effects of telomere shortening and cell division are varied, there is a phase transition between finite lifetime and infinite proliferation of the cell population. Using simple first-passage ideas, we quantify the nature of this transition.

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