 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-4/6c/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Adding the equations for the free enzyme and its two complexes gives

\frac{d}{d t} (e + c_{1} + c_{2}) = 0.

Thus

e (t) + c_{1} (t) + c_{2} (t) = e_{0} .

This conservation law says that the enzyme is neither created nor destroyed: each enzyme molecule is either free, bound in

C_{1}

, or bound in

C_{2}

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