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Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 4 / 6C / b / Solution

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}

.

Solved by gpt-5.6-sol high.

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