A theoretical treatment of the turnover of protein-bound phosphate in the presence of both protein kinase and phosphatase activities

Preparations of membrane fragments from brain have previously been shown to contain tightly bound protein kinase and phophatase enzymes which, together, are responsible for the turnover of protein-bound phosphate in the membrane.An equation has now been derived which describes the time-course of the phophorylation of the membrane-bound proteins in terms of the activities of the kinase and phosphatase enzymes and the initial state of phosphorylation of the membrane proteins. The use of this equation makes it possible to define the effects of substances or treatments which alter the overall rate of protein phosphorylation and to show whether kinase activity, phosphotase activity, or initial state of protein phosphorylation is being changed.Treatment of membrane fragmetns with NaI is found to decrease both protein kinase and phosphatase activities. Na⁺ decreases overall protein phosphorylation solely by decreasing phosphotase activity and cyclic AMP stimulates protein phosphorylation by an action on kinase activity alone.It has been deduced that if there is more than one type of site for protein phosphorylation in cerebral membrane fragments these should react with the kinase at equal rates and with the phosphatase at equal rates.It is hoped that the treatment given in this paper may prove generally applicable to situatiions where the rate of enzymic reaction is controlled by the concentration of substrate.