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A nonlinear mathematical model is used to investigate the time evolution of the cell populations in colon crypts (stem, semidifferentiated and fully differentiated cells). To mimic pathological alteration of the biochemical pathways leading to abnormal proliferative activity of the population of semidifferentiated cells their renewal rate is assumed to be dependent on the population size. Then, the effects of such perturbation on the population dynamics are investigated theoretically. Using both theoretical methods and numerical simulations it is shown that the increase in the renewal rate of semidifferentiated cells strongly impacts the dynamical behavior of the cell populations. © 2010 The American Physical Society.

Original publication

DOI

10.1103/PhysRevE.81.061909

Type

Journal article

Journal

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Publication Date

04/06/2010

Volume

81