Michaelis–Menten Equation Calculator
🔑 Enzymes & reaction rates. Use the Michaelis–Menten equation formula to find rate v, maximum rate vmax, substrate concentration [s], km: pick the value you want, type the others, and the answer updates as you go.
Km is the substrate concentration that gives half the maximum rate: a small Km means the enzyme grips its substrate tightly.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Rate v | µmol/min |
| Maximum rate Vmax | µmol/min |
| Substrate concentration [S] | mM |
| Km | mM |
Worked example
Find the rate v when Maximum rate Vmax = 10 µmol/min, Substrate concentration [S] = 4 mM, Km = 2 mM.
Using v = Vmax[S]Km + [S]: Rate v = 6.6667 µmol/min.
Frequently asked questions
What is the formula for Michaelis–Menten equation?
v = Vmax[S]Km + [S]. Km is the substrate concentration that gives half the maximum rate: a small Km means the enzyme grips its substrate tightly.
What do the letters stand for, and what units are used?
Rate v in µmol/min, Maximum rate Vmax in µmol/min, Substrate concentration [S] in mM, Km in mM.
How do you calculate rate v?
Put the values into v = Vmax[S]Km + [S]. For example, with Maximum rate Vmax = 10 µmol/min, Substrate concentration [S] = 4 mM, Km = 2 mM, rate v = 6.6667 µmol/min.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (rate v, maximum rate vmax, substrate concentration [s], km) and fill in the others: it rearranges the formula for you.
