Logistic Formulation and Explicit Enzyme Kinetics Solution

3 LOGISTIC FORMULATION AND EXPLICIT ENZYME KINETICS SOLUTION 

We use a probabilistic approach, based on the law of mass action, to characterize in vitro enzymatic reactions of type (1.4) the present discussion follows (Putz et al., 2007)  

This probabilistic treatment of enzymatic kinetics is based on the chemical bonding behavior of enzymes that act upon substrate molecules through diverse mechanisms and it may offer the key to the quantitative treatment of different t5q)es of enzyme catalysis (Voet Voet, 1995). 

To expand the terms of Eq. (1.29) to analyze reactions in the Eq. (1.4), we first recognize that the binding substrate concentration can be treated as the instantaneous substrate concentration [-S]j. =[5](0- 

Maintaining the quasi-steady-state conditions for in vitro systems, we may assume constant association-dissociation rates so that probability of reaction is written as the rate of consumption of the substrate. 

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