Kinetic Model of Monoterpenoid Biosynthesis Wiki

This wiki page describes the construction and simulation of a kinetic model of Monoterpenoid Biosynthesis.

Description of the model

Limonene Synthase

Limonene-6-Hydroxylase

Reversible Michaelis-Menten equation

All reactions in this model are described using reversible Michaelis-Menten equation.

Strategies for Estimating Kinetic Parameter Values

Calculating the Equilibrium Constant (K_eq)

Using the equilibrium constant in the reversible Michaelis-Menten reaction reduces the need to obtain or estimate Vmax_reverse parameter value, which is often not available in literature.

Using the Haldane relationship, the equilibrium constant (K_eq) can be written as:

Failed to parse (Cannot store math image on filesystem.): {\color{Red}K_\mathrm{eq}} = \frac{Vmax_\mathrm{forward} * Km_\mathrm{product} }{Vmax_\mathrm{reverse} * Km_\mathrm{substrate}}

The reversible Michaelis-Menten rate equation can then be rewritten to contain the equilibrium constant (K_eq) instead of using the ratio of the V_max values.

Failed to parse (Cannot store math image on filesystem.): v_\mathrm{reaction} = Vmax_\mathrm{forward} * \cfrac {\cfrac{[S]}{Km_\mathrm{substrate}} * \left ( 1 - \cfrac {[P]}{[S]* \color{red}K_\mathrm{eq}} \right )} {1 + \cfrac {[S]}{Km_\mathrm{substrate}} + \cfrac {[P]}{Km_\mathrm{product}}}

where [S] and [P] corresponds to the concentration of the substrate and product respectively.