Biology Stack Exchange is a question and answer site for biology researchers, academics, and students. It only takes a minute to sign up.
Sign up to join this community
I want to apply the Gillespie Algorithm to a biological system so I need to know the reaction rates for the relevant reactions. However, for all those reactions, I only know the Michaelis constant $K_M$ and the maximum rate $V_{max}$ (see Wikipedia). Is it possible to derive (an estimation of) the reaction rates $k_f$, $k_r$ and $k_{cat}$ (see image below) given $K_M$ and $V_{max}$? If so, how can it be done?
$K_M$ is a ratio and for QSSA it is $\dfrac{k_{cat}+k_r}{k_f}$ and for equilibrium approximation it is $\dfrac{k_r}{k_f}$.
It is clear from the formula that you cannot obtain all the constants simulataneously. If you know two (in case of QSSA) you can get the third.
