[A simplified model for kinetics of a tumor cells' population].
A mathematical model of solid tumor growth is suggested. The external influence from the tumor-bearing organism is described separately for cell growth and apoptosis. The model is an ordinary differential equation which provides for use of a variety of dependences for both processes. A solution for a specific example of the processes is obtained in the form of a generalized logistic curve. Our results give clues for such experimental phenomena as spontaneous cessation of cell growth, dependence of life duration on insignificant variations in apoptosis, etc.
R
R
Gut
G M
GM
Zharinov
E
E
Iakubov
D000818:Animals; D017209:Apoptosis; D002453:Cell Cycle; D006801:Humans; D007700:Kinetics; D008432:Mathematical Computing; D008962:Models, Theoretical; D009369:Neoplasms / Q000473:pathology*