Michaelis-Menten rule

Derived from kinetic rate equations for a simple catalytic reaction. The rate (per unit volume) of catalysis at equilibrium is:

$k_{\text{eff}} = \frac{k_2 C_S C_E}{C_S+K_M}$

Derivation

See sysbio matlab modelling course day 2 morning. There are two time scales in the problem. Can apply Method of multiple scales.