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Hill Equation

Models cooperative enzyme systems where substrate binding affects the affinity of subsequent substrate molecules: v = Vmax * ([S] / Km)^n.

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The statement of the theorem

Let

v

be the reaction rate,

[S]

be the substrate concentration,

V_{max}

be the maximum rate,

K_m

be the apparent dissociation constant, and

n

be the Hill coefficient (

n \neq 1

). The rate is modeled by:\n

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

Source: Wikipedia