Michaelis-Menten Kinetics
Rate of an enzyme-catalysed reaction.
Formula
Variables
How it works
Michaelis-Menten kinetics describes how an enzyme’s reaction rate rises with substrate concentration but eventually levels off when the enzyme active sites become saturated. The formula comes from a simple balance between free enzyme, enzyme-substrate complex, and product formation: at low [S], adding more substrate greatly increases collisions and rate, while at high [S] nearly all enzyme is already occupied so the rate approaches a maximum. Km is the substrate concentration that gives half of Vmax, so it is a useful indicator of how much substrate is needed to substantially load the enzyme.
When to use it
Use this formula when analyzing enzyme assays, estimating reaction rates from substrate concentration, or fitting experimental data to compare enzyme behavior under different conditions. It is especially useful in biochemistry, pharmacology, and molecular biology when you want to relate enzyme activity to substrate availability.
Worked example, step by step
An enzyme has Vmax = 120 µmol/min and Km = 30 µM. Suppose the substrate concentration is [S] = 45 µM. Use v = (Vmax[S])/(Km + [S]) Substitute values: v = (120 × 45)/(30 + 45) Calculate the denominator: 30 + 45 = 75 Calculate the numerator: 120 × 45 = 5400 So v = 5400/75 = 72 µmol/min Final answer: the reaction rate is 72 µmol/min.
Common mistakes to avoid
- Confusing Km with Vmax; Km is a concentration, not a rate
- Forgetting to keep units consistent for substrate concentration and Km
- Assuming the rate increases linearly forever instead of approaching Vmax
Did You Know?
The Michaelis-Menten equation, from 1913, still underpins how we model enzymes and design many drugs.
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