King-Altman rules

For mechanisms involving random addition of substrates, the King-Altman method gives squared terms in numerator and denominator of the rate equations, which are messy and difficult to work with. The method of Cha (10) treats each random segment as if it were in rapid equilibrium, and this simplifies the rate equation. The fact that data fit such a simplified equation does not prove that the mechanism is a rapid equilibrium one (see the rules in Section V,A,2 below) but does facilitate initial velocity analysis. 

Relationship (11) was first reported by King and Altman [1]. They examined a linear set of quasi-steady-state equations for the intermediates of the complex enzyme reaction following a linear mechanism. For its derivation the authors applied the well-known Kramer rule. 

As has already been shown, graph theory methods were first used in chemical kinetics by King and Altman who applied them to linear enzyme mechanisms [1] to derive steady-state kinetic equations. Vol kenshtein and Gol dshtein in their studies during the 1960s [2 1] also elaborated a new formalism for the derivation of steady-state kinetic equations based on graph theory methods ("Mason s rule , etc.). 

The steady-state rate equation is obtained according to following rules (King and Altman method) ... 

---