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Enzyme Turnover Number

τ = (d[S]/dt) / v, representing the rate at which an enzyme converts substrate to product per enzyme molecule.

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The statement of the theorem

Define the turnover number

\tau

(or

k_{cat}

) as the maximum rate of product formation per active site, which relates the maximum velocity

V_{max}

to the total enzyme concentration

[E]_T

\tau = k_{cat} = \frac{V_{max}}{[E]_T}

Source: Wikipedia