A mathematical model of stabilization of erythrocytes volume which takes into account the homeostasis of univalent ions and the calcium regulation of potassium flux through the membrane has been studied. The model has the only stable solution at all actual values of parameters. The investigation of the steady-state cell volume dependence on membrane permeability for potassium and sodium ions has shown that volume is much better protected against a nonspecific change in permeability than against a specific increase in the membrane permeability for potassium or sodium ions. In the case of a nonspecific increase of the erythrocyte membrane permeability for cations the cell volume has best stabilization when the stoichiometry of sodium and potassium ions transported by a Na,K-ATPase is 3/2.
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