Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2009-08-04
Journal of Statistical Mechanics P07028 (2010)
Biology
Quantitative Biology
Populations and Evolution
16 pages
Scientific paper
10.1088/1742-5468/2010/07/P07028
We study a two-type branching process which provides excellent description of experimental data on cell dynamics in skin tissue (Clayton et al., 2007). The model involves only a single type of progenitor cell, and does not require support from a self-renewed population of stem cells. The progenitor cells divide and may differentiate into post-mitotic cells. We derive an exact solution of this model in terms of generating functions for the total number of cells, and for the number of cells of different types. We also deduce large time asymptotic behaviors drawing on our exact results, and on an independent diffusion approximation.
Antal Tibor
Krapivsky Paul. L.
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