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A mathematician who has taken the romantic decision to devote himself to biology will doubtlessly look upon cell kinetics as the most simple and natural field of application for his knowledge and skills. Indeed, the thesaurus he is to master is not so complicated as, say, in molecular biology, the structural elements of the system, i. e. ceils, have been segregated by Nature itself, simple considerations of balance may be used for deducing basic equations, and numerous analogies in other areas of science also superficial add to one"s confidence. Generally speaking, this number of impression is correct, as evidenced by the very great theoretical studies on population kinetics, unmatched in ot...
This research monograph on the theory of unsteady cell kinetics based on stochastic and semi-stochastic models sets out to fill a gap in the literature. Specifically, considering the effect of transient processes in cell proliferation kinetics reveals new possible applications of the mathematical methods and also new regularity features of systems with induced cell proliferation. Thus for instance, a comprehensive analysis of the transition of hepatocytes to DNA synthesis and mitosis in regenerating rat liver is presented. Addressed primarily to researchers concerned with cell/tissue kinetics, the book can also be used by students knowing basic probability, as an introduction to the mathematics of cell proliferation kinetics.