Growth factors and cell kinetics: a mathematical model applied to Il-3 deprivation on leukemic cell lines.
We assume the existence of a specific G1 protein which is an initiator of DNA replication. This initiator is supposed to be synthesized according to Michaelis-Menten kinetics. In order to start DNA replication, it is assumed that this G1 specific protein must be produced in a required amount. Intra-cellular growth inhibitors and extra-cellular growth factors control the production of the initiator. This model allows to calculate the average G1 phase time as a function of the various chemical concentrations of nutrients, enzymes, growth inhibitors and growth factors. This model is compared to cell kinetics experiments on a leukemic cell line responding to Interleukin 3 deprivation. The curves giving the experimental average G1 phase times with respect to Interleukin-3 concentrations are fitted by the mathematical model with a quite good agreement.
Auger
P
P
Laboratoire d'Ecologie, Université de Bourgogne, Dijon, France.
Dörmer
P
P
Ellwart
J W
JW
D002478:Cells, Cultured; D004247:DNA / Q000096:biosynthesis; D016193:G1 Phase / Q000502:physiology*; D007377:Interleukin-3 / Q000378:metabolism*; D007700:Kinetics; D007942:Leukemia, Experimental / Q000503:physiopathology*; D008954:Models, Biological
D007377:Interleukin-3; D004247:DNA