Abstract
A mathematical description of the decrease of the activity of enzyme during its chemical modification, based on probability theory as well as on chemical kinetics and considering both stochastically independent as well as stochastically dependent chemical modifications of any number of essential amino acid residues of the enzyme is proposed. Two types of the stochastically dependent chemical modifications, i.e. with negative cooperative effects and with positive cooperative effects were studied. A direct correlation was found to exist between the relative decrease of enzyme activity on the one hand and the number of essential amino acid residues as well as their role and relative mutual positions on the other. The procedure derived can be used for computer simulation of curves representing the decrease of the activity of enzyme during its chemical modification or for the nonlinear regression analysis of such curves.
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