Enzyme Kinetics (Michaelis-Menten) Calculator Formula
Understand the math behind the enzyme kinetics (michaelis-menten) calculator. Each variable explained with a worked example.
Formulas Used
Reaction Velocity (v)
velocity = vmax * substrate / (km + substrate)v / Vmax
v_over_vmax = substrate / (km + substrate)Variables
| Variable | Description | Default |
|---|---|---|
vmax | Maximum Velocity (Vmax)(umol/min) | 100 |
km | Michaelis Constant (Km)(uM) | 50 |
substrate | Substrate Concentration [S](uM) | 25 |
How It Works
Michaelis-Menten Enzyme Kinetics
The Michaelis-Menten equation describes the rate of enzyme-catalyzed reactions as a function of substrate concentration.
Formula
v = Vmax × [S] / (Km + [S])
where Vmax is the maximum velocity, Km is the substrate concentration at half-Vmax, and [S] is the substrate concentration. When [S] = Km, v = Vmax/2. When [S] >> Km, v approaches Vmax.
Worked Example
An enzyme with Vmax = 100 umol/min and Km = 50 uM at [S] = 25 uM.
vmax = 100km = 50substrate = 25
- 01v = 100 × 25 / (50 + 25)
- 02v = 2500 / 75 = 33.33 umol/min
- 03v/Vmax = 25/75 = 0.333 (33.3% of Vmax)
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