Time-Dependent Simple Irreversible Inhibition in the Presence of Substrate

4 TIME-DEPENDENT SIMPLE IRREVERSIBLE INHIBITION IN THE PRESENCE OF SUBSTRATE 

Consider the interactions of free enzyme with inhibitor and substrate  

The differential equation that describes the formation of the irreversible enzyme-inhibitor complex, the equilibrium dissociation constants for the reversible enzyme-inhibitor Ki) and enzyme-substrate Ks) complexes, and the mass balance for the enzyme are, respectively. 

An expression for the concentration of the El complex can be obtained from the enzyme mass balance and dissociation constants  

A relationship between [ES] and [El] can be obtained from the dissociation constants for enzyme-substrate and enzyme-inhibitor complexes  

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