Enzyme deactivation Michaelis-Menten kinetics

The mathematical description of diffusional limitations of enzyme kinetics in the combined action with mass transfer has for years been well established. The presentation of these interactions is very complex, in particular when terms for product inhibition, proton-generation or enzyme deactivation are incorporated in addition to comparably simple Michaelis-Menten kinetics. 

Specific detail on Michaelis-Menten kinetics, quasi steady-state approximations, competitive and non-competitive inhibitions, substrate inhibition, rate expressions for enzyme catalysis and deactivations, Monod growth kinetics, etc. are not presented in an extensive manner although additional information is available in the work of Vasudevan for the interested leader. " Also note that the notation adopted by Vasudevan is employed throughout this chapter. 

Derive an expression for deactivation with Michaelis-Menten kinetics when both the free and the bound form or enzyme deactivate. Does the deactivation rate depend on substrate concentration ... 

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