Kinetic Equations and Effect of Substrate Concentration

In order to develop the-kinetic equations, consider the hydrolysis of a glucoside S) by an enzyme E) to an alcohol or phenol (ROH) and glucose. 

Since a certain portion of both enz3rme and substrate always is combined, the concentration of free enzyme [E] and substrate [S at any time is given by the following equations, where the total enzyme concentration is represented by a and the total substrate concentration by A.  

If equation (2) represents the rate-determining reaction, the velocity of the reaction is given by  

In dilute solution, the water concentration remains constant and can be neglected. Substitution of equation (7) in (8) gives  

If V is the velocity when [S] is much larger than (i.e., at high substrate concentrations), then  

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