The Ping-Pong Mechanism in Homogeneous Enzymatic Catalysis

The Ping-Pong Mechanism in Homogeneous Enzymatic Catalysis 

Under the assumption that the reactions in the catalytic cycle are so fast as to make the various forms of the enzyme be at steady state, their concentrations (noted [species]) obey the following equations, obtained by expressing the steady-state conditions for each form of the enzyme  

The diffusion-reaction problem is set by the following partial derivative equations accompanied by a set of initial and boundary conditions. 

Assuming that pure kinetic conditions are fulfilled, the Q profile is confined within a thin layer adjacent to the electrode surface. It therefore follows from the condition (0[S]/0x) c=o = 0 that [S] may be regarded as constant throughout the reaction layer and equal to its value, [S], at the electrode surface. Within this framework, we consider the case where the catalytic response is controlled by the enzymatic reaction. Equations (6.233) may be simplified upon consideration that [S] = C( and also from the fact that pure kinetic conditions implies that 0[Q]/0t = 0. It follows that 

A dimensionless formulation is obtained by means of the following changes of variables and parameters. 

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