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Michaelis-Menten Equation

v = Vmax[S]/(Km + [S]), describing enzyme kinetics with parameters Vmax, Km, and the substrate concentration [S].

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The statement of the theorem

Define the reaction rate

v

for an enzyme-catalyzed reaction involving substrate

[S]

as:\n

\frac{d[P]}{dt} = v = \frac{V_{max}[S]}{K_m + [S]}

\n\nHere,

V_{max}

is the maximum reaction velocity achieved when

[S] \gg K_m

, and

K_m

is the Michaelis constant, defined by the equilibrium condition

K_m = \frac{k_{-1} + k_{2}[S]}{k_{1}}

(or simply

K_m = \frac{k_{-1}}{k_1}

under simplified assumptions).

Source: Wikipedia