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Lineweaver–Burk Calculator

🔑 Enzymes & reaction rates. Use the Lineweaver–Burk (double reciprocal) formula to find reaction rate v, michaelis constant km, vmax, substrate [s]: pick the value you want, type the others, and the answer updates as you go.

1v=KmVmax⋅1[S]+1Vmax\dfrac{1}{v} = \dfrac{K_m}{V_{max}} \cdot \dfrac{1}{[S]} + \dfrac{1}{V_{max}}
Reaction rate v6.6667 µmol/min

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Reaction rate vµmol/min
Michaelis constant KmmM
Vmaxµmol/min
Substrate [S]mM

Worked example

Find the reaction rate v when Michaelis constant Km = 5 mM, Vmax = 10 µmol/min, Substrate [S] = 10 mM.

Using 1/v = KmVmax · 1/[S] + 1Vmax: Reaction rate v = 6.6667 µmol/min.

Frequently asked questions

What is the formula for Lineweaver–Burk (double reciprocal)?

1/v = KmVmax · 1/[S] + 1Vmax.

What do the letters stand for, and what units are used?

Reaction rate v in µmol/min, Michaelis constant Km in mM, Vmax in µmol/min, Substrate [S] in mM.

How do you calculate reaction rate v?

Put the values into 1/v = KmVmax · 1/[S] + 1Vmax. For example, with Michaelis constant Km = 5 mM, Vmax = 10 µmol/min, Substrate [S] = 10 mM, reaction 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 (reaction rate v, michaelis constant km, vmax, substrate [s]) and fill in the others: it rearranges the formula for you.

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