For some enzyme reactions for example the hydrolysis of


For some enzyme reactions (for example, the hydrolysis of cAMP by phosphodiesterase in vertebrate retinal cones)the enzyme is present in large quantities,so that e0/s0 is not a small number.Fortunately,there is an alternate derivation of the Michaelis-Mentenrate equation that does not require that e= e0/s0 be small. Instead, if one or both of k-1and k2 are much larger than k1.e0, then the formation of complex c is a rapid exponential process,and can be taken to be inquasisteady state.Make this argument systematic by introducing appropriate nondimensional variables and then ?nd the resulting quasi-steady-state dynamics. (Segel,1988; Frenzen and Maini, 1988; Segel and Slemrod, 1989; Sneyd and Tranchina, 1989)

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Chemistry: For some enzyme reactions for example the hydrolysis of
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