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Biology — Enzyme Kinetics (Michaelis–Menten)

Rate equation, Lineweaver–Burk form and catalytic efficiency.

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v = \frac{V_{max}[\text{S}]}{K_m + [\text{S}]}

\frac{1}{v} = \frac{K_m}{V_{max}}\frac{1}{[\text{S}]} + \frac{1}{V_{max}}

k_{cat} = \frac{V_{max}}{[\text{E}]_0}

\text{efficiency} = \frac{k_{cat}}{K_m}