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Michaelis Constant (Km)

The substrate concentration at which the reaction rate is half of Vmax; a measure of enzyme affinity for its substrate.
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The statement of the theorem

Define the Michaelis constant KmK_m as the substrate concentration [S][S] that yields a reaction velocity vv equal to half of the maximum velocity VmaxV_{max}: Km=[S]such thatv=Vmax2 K_m = [S] \quad \text{such that} \quad v = \frac{V_{max}}{2}