As the number of enzyme species increases, for example, in complex kinetic mechanisms, then the number of King-Altman interconversion patterns increases accordingly. Consequently, attempts have been made to reduce the tedium of the method in complex situations, and several variations of the basic King-Altman procedure have been suggested which lead to some simplification in the use of the method. We will discuss those suggested by Volkenstein and Goldstein. 157 (See also References 156, 158, 159, and 758; also, several computer programs have been written for the derivation of kinetic expressions for enzyme systems. 160 , 163 ; 812 )