Dual Monod equation

To account for reverse as well as forward reaction, the Monod (and dual Monod) equation can be modified by appending to it a thermodynamic potential factor, as shown by Jin and Bethke (2005), in which case the equation predicts the net rate of reaction. The thermodynamic factor Ft, which can vary from zero to one, is given... 

If the concentrations of only the electron donor and acceptor are considered to vary, each mD+ is invariant and the term ] [ n/ 1 in Equation 18.23 reverts to a half-saturation constant K[y Similarly, the corresponding term in Equation 18.24 may be represented by K A. Now, we see the dual Monod equation (Eqn. 18.16) is a specific simplification of the general rate law (Eqn. 18.22). 

The acetotrophic sulfate reducers proceed at a rate r (mol s 1) given by Equation 18.16, the thermodynamically consistent dual Monod equation,... 

In the above dual-Monod equations, we note that competitive inhibition between the primary substrate and target contaminant is modeled by the C/KM and Cd/Kmd terms in the denominator on the right hand side of Eqs. (13)—(15), transformation product toxicity is modeled by the last term in Eq. (13), and deactivation is modeled by the FA parameter in Eq. (15). 

Equation 19 presents a kinetic model for dual-limiting substrates (Si and S2) in culture. In such cases, the Monod structures for substrate limitation ( Sj s ) are reproduced for each one of the limiting substrates. 

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