Flux expressions for TCA cycle reaction network

The standard Gibbs free energy for the chemical reference reaction for pyruvate dehydrogenase is computed 

The reaction mechanism is assumed to be hexa-uni-ping-pong [34] when the reactant water is ignored with the following steps [114]  

The flux expression for this mechanism follows from application of the method of King and Altman [112]  

The model of Wu el al. [213] assumes that ACCOA and NADH bind to the enzyme in competition for COASH and NAD with binding constants KiAccoA and KinAdh, respectively. Incorporating these competitive inhibitions into the model, the flux expression becomes 

Assuming that the expression for J+dh represents the flux for the one-way mechanism of Equation 6.35, we can compute the net flux as  

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