Try Harold Baum's 'The Biochemist's Songbook, with the likes of this: *** The Michaelis Anthem *** (tune: The Red Flag) The substrate changed by an enzyme Initially, in unit time Varies, if not in excess With substrate concentration, [S] If enzyme concentration's low And reaction back from product's slow Then if we choose a steady state Velocity and [S] relate. This relationship can be derived As Briggs and Haldane first contrived: The unbound enzyme, [E], we guess Is [E0] (total), less [ES] k1[S][E] gives [ES] formation and k2[ES], dissociation And [ES] gives the product, P, At a rate that's [ES] times k3 When [ES] is at the steady state These terms are all seen to relate ([E0] less [ES]) times k1[S] Equals (k2 + k3) times [ES] Now the maximum velocity is k3[E0], (or big V) These terms can be manipulated If one more definition's stated Define as Km (just for fun) (k2 + k3) on k1 And note that v (velocity) Is always [ES] times k3 Then rearranging these equations We get the final rate equation V times [S] on Km + [S] is v (initial) - more or less
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