 Solution

ID: past-exam-of-the-mathematics-and-the-environment-and-mathematical-physiology-course-of-the-university-of-oxford/2008/b/5/i/solution

For an assay begun by mixing free enzyme and substrate, take

[S] (0) = S_{0} > 0, [E] (0) = E_{0} > 0, [C] (0) = [P] (0) = 0

. The complex has not yet formed and no product has been made. The later small-enzyme limit assumes

E_{0} ≪ S_{0}

. Other preincubation protocols could require nonzero initial complex, but these initial conditions are the ones used by the stated inner solution.

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