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[Dynamic interaction of membrane transport of cations and biosynthesis in the regulation of animal cell growth. A theoretical model].

Possibility of direct participation of the cell volume stabilization system in biosynthesis and growth control in animal cells is postulated and theoretically treated in terms of general membraneous cell model. The states of proliferative quiescence or proliferative activity were attributed, respectively, to the states of stability or non-stability of dynamical interactions between ion-dependent volume regulating system and biosynthetic apparatus which controls metabolic renewal and current number of ion transporters. The results showed that in the case of fixed Na+/K+ pumping ratio the cellular steady-state is quite stable. Necessary conditions are described when labialization of Na+/K+ exchange stoichiometry must initiate metabolic instability and cellular growth. The loss of the cell membrane ability to link together different fluxes may thus be accounted for the uncontrolled cellular and tissue growth. Quantitative criteria for the cell growth capacity are obtained depending on the high enough requiring level of transmembrane ion asymmetry and low enough value of intracellular electric potential.