derivation of michaelis-menten equation?

Question

http://en.wikipedia.org/wiki/Michaelis-Menten

refering to the above wikipedia article:

near the end, it states: k2[E0] = Vmax

can someone explain why? i know its kinda complicated, so much thanks in advance.

Answer 1

k2 is the rate at which the enzyme turns over the substrate
Eo is the conc of the enzyme

these 2 factors multiplied together will result in an enzymatic reaction proceeding at a maximal rate (Vmax), ONLY if you have [substrate] >>Km. If less substrate than that, you'll run out of substrate before you reach Vmax.

Why do you ask, for theoretical reasons, or do you want to set up and experiment?

Answer 2

K2 is the rate of reaction from complex to product and Vmax is the maximum rate that the enzyme will convert to product so they are essentially the same. K2 is the same as Kcat.