Michaelis-Menten equation

The Michaelis-Menten rate law is

v = \frac{V _{m a x} s}{K _{M} + s} .

It is linear at low substrate concentration and saturates at

V_{m a x}

at high concentration.

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- Michaelis constant Michaelis-Menten equation

Michaelis constant ( $K_{M}$ )

The substrate concentration giving half the limiting reaction rate in the Michaelis-Menten equation. In the elementary mechanism

E + S ⇌ ES \to E + P

, it is

K_{M} = (k_{- 1} + k_{cat}) / k_{1}

under the quasi-steady-state approximation, whereas the binding dissociation constant is

K_{d} = k_{- 1} / k_{1}

.

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