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Equations · Chemistry and biology

Michaelis–Menten equation

The rate of an enzyme reaction as the substrate concentration rises.

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v = V_max[S] / (K_m + [S])

Aethel says

v equals V sub max times the concentration of S, over the quantity K sub m plus the concentration of S

What it says

At low substrate concentration the rate climbs almost in proportion; at high concentration the enzyme is saturated and the rate levels off at its maximum.

K_m is the substrate concentration at which the rate is half its maximum: a small K_m means the enzyme works well even when substrate is scarce.

Symbol by symbol

SymbolSay itMeans
vvthe reaction rate
V_maxV maxthe maximum rate
[S]the concentration of Sthe substrate concentration
K_mK mthe Michaelis constant

Where you meet it

Biochemistry, pharmacology and enzymology.

Questions

How do you say Michaelis–Menten equation out loud?

v = V_max[S] / (K_m + [S]) is read: “v equals V sub max times the concentration of S, over the quantity K sub m plus the concentration of S.” That is exactly what Aethel says when it meets the formula in a book.

What does v mean in Michaelis–Menten equation?

v (said “v”) is the reaction rate.

What does V_max mean in Michaelis–Menten equation?

V_max (said “V max”) is the maximum rate.

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