The Mathematical Institute, University of Oxford, Eprints Archive

Variable renewal rate and growth properties of cell populations in colon crypt

Di Garbo , A and Johnston, M. D. and Chapman, S. J. and Maini, P. K. (2010) Variable renewal rate and growth properties of cell populations in colon crypt. Physical Review E, 81 (6). 061909 (12 pages). ISSN 1063-651X

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Abstract

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.

Item Type:Article
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:944
Deposited By:Philip Maini
Deposited On:02 Sep 2010 10:52
Last Modified:02 Sep 2010 10:52

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