Abstract: Possible use of a vector method of representation of enzymatic reactions is considered in the four and five-dimensional (K mV E ani) and (K mV E aA ni) coordinate systems for data processing of a simultaneous course of change in four K m, V , E a, ni and five K m, V , E a, A , ni) parameters of inhibition of the mutant forms of Escherichia coli E15 alkaline phosphatase modified by substitution of neutral amino acid residues in two N-terminal peptides by positively charged lysine residues (Lys, Lys) in the positions (+2+3), (+5+6), (+13+14), (+19+20) and arginine ones (Arg, Arg) in the positions (+5+6), (+13+14), (+19+20). It is established that at transfer of positive charges to the enzyme active centre the maximum inhibitory effect of enzyme activity occurs at substitution in the position (+13+14) from the N-terminus. This effect intensifies with increasing charge of amino acid residues (Lys Arg ).