Figure 1
From: Insights from Microbial Transition State Theory on Monod’s Affinity Constant
Example of plots of Eqs. 1 and 6, with the values chosen such that \({{\boldsymbol{K}}}_{{\boldsymbol{s}}}=\frac{{\boldsymbol{\lambda }}}{{{\boldsymbol{V}}}_{{\boldsymbol{h}}}}\). The measurement of the harvest volume from growth experiments can be obtained in an analogous fashion to the determination of the affinity constant: by noting \({{\bf{s}}}^{\ast }\) the value of substrate concentration at which the growth rate is \({{\boldsymbol{e}}}^{-1}{{\boldsymbol{\mu }}}_{{\boldsymbol{\max }}}\) (represented by the black diamond) one obtains \({{\boldsymbol{V}}}_{{\boldsymbol{h}}}\) by the formula \({{\boldsymbol{V}}}_{{\boldsymbol{h}}}=\frac{1}{{{\boldsymbol{y}}}_{{\boldsymbol{x}}/{\boldsymbol{s}}}\,{{\boldsymbol{s}}}^{\ast }}\), similarly to the \({{\boldsymbol{K}}}_{{\boldsymbol{s}}}\) value identified as the concentration for which the specific growth rate \({\boldsymbol{\mu }}\) is equal to \(\frac{{{\boldsymbol{\mu }}}_{{\boldsymbol{\max }}}}{2}\) in the Monod expression, (represented by the black square).
