DNA damage and the proliferation and aging of cells in culture: a mathematical model with time lag.
This paper is an extension of an earlier one by the same author in which a mathematical model was presented to describe the proliferation and aging of cells in culture. The model consists of a group of ordinary differential equations with a time lag. In the previous paper, the time lag was omitted for simplicity and the resulting differential equations were resolved analytically. It was shown that the model explains the behavior of a cell culture reasonably well. In this paper, the analytical solution of the original differential equations is presented without omitting the time lag. An analytical description of the variations in doubling capability between sister cells that was only simulated numerically in the earlier paper is given.
Tan
Z
Z
Laboratory of Cellular and Molecular Pharmacology, National Institute of Environmental Health Sciences, National Institutes of Health, Research Triangle Park, North Carolina 27709.
D000818:Animals; D002455:Cell Division; D002478:Cells, Cultured; D016922:Cellular Senescence; D004249:DNA Damage; D008433:Mathematics; D008954:Models, Biological