Fitting Michaelis-Menten directly to substrate concentration data

Reaction rates . . .dSdt= −k 1 SE 0 + k −1 E 1dE 0dt= −k 1 SE 0 + k −1 E 1 + k 2 E 1dE 1dt= k 1 SE 0 − k −1 E 1 − k 2 E 1dPdt= k 2 E 1Constraints . . .E T = E 0 + E 1 ⇒ dE Tdtk 1S + E 0 ⇋ E 1k−→2E0 + Pk −1= 0,