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Chemical Sciences
Biochemistry
1913
Intermediate

Michaelis-Menten Equation

v=Vmax[S]Km+[S]v = \frac{V_{\max}[S]}{K_m + [S]}

Enzyme reaction rate saturates as substrate concentration increases.

By Leonor Michaelis, Maud Menten

Chemical Sciences
Michaelis-Menten Equation
1913 · Leonor Michaelis
Human Reviewed
84%

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Why it matters: Foundation of enzymology, drug metabolism, and systems biology.

Discoverers: Leonor Michaelis, Maud Menten (1913)

What does it mean?

Enzyme reaction rate saturates as substrate concentration increases.

Why should I care?

Foundation of enzymology, drug metabolism, and systems biology.

Equation Compass

Variables & Units

SymbolNameUnitMeaning
vvRateReaction velocity
VmaxV_maxMax rateMaximum velocity
KmK_mMichaelis constantHalf-saturation concentration
[S][S]SubstrateSubstrate concentration

Worked Example

At [S] = K_m, v = V_max/2.

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Michaelis-Menten Equation

v=Vmax[S]Km+[S]v = \frac{V_{\max}[S]}{K_m + [S]}

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Enzyme reaction rate saturates as substrate concentration increases.

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