Question

The following is the process of deriving the Michaelis-Menten equation. What is a,b,c?

[E] – [E]:- (ES) Now let (c), so that [s] =[s); With this assumption, and either of the previous two (E)=- [ES])[S] = Ky [ES] (Kx + [S])[ES] - [E] [S] E+S ES E + P Vi k[ES] Two alternative assumptions: (1) (a) k[E][S] = k., [ES] (2) (b) kj [E][S] = (k.1 + k) [ES] Under assumption (1), V. - K LEIS Under assumption (2), V. – [E][S] [ES] = [E] [S] Kx + [S] kz[E]-[S] V. = ky[ES] => Ky + [S] define Vmax = kz[E] [S] V. - V ** K+ [S] where K-k.,+ kg

Answer 1

Michaelis Menten equatim k2E P E=enzyme Substorade E+S ES Nov- keS Borcoduct P Now as umpion (6) is the (6)here it is assumed that the interme diafe Es does not emainn the reaction fore man tme f.e the Srale of appea) ES is enual to the mafe of disappearance of stade porenim atiorn ance ES. So, dES dt 7 CE k) (ES] (a) in a) approximation, Michaelis and Menten assumed that the substrate (s) and the in ter mediate /complex (Es) aie is in instaneous chemical eguli braium. This is alled Equlibrium oppronimation t implies simply kLE k,ES] gives which k Ces] Now , Assunption tc) act as of we know that of substoate of substrate and COnc here very less than So, if we take initial conc as[sand LE] then E and s foam cormblex ES. AfHer certain time Come of substrate, []= [1,- CES] concentration i's and COmc Now as we sald E« [s] So, EST « r and substrale ime almost, emain constant. So, [S][S1 Come. at to s1T