The form of the Scatchard equation given in Impact I5.2 applies only when the

Chapter 5, Problem 5.27

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The form of the Scatchard equation given in Impact I5.2 applies only when the macromolecule has identical and independent binding sites. For non-identical independent binding sites, the Scatchard equation is

\(\frac{v}{[\mathrm{~A}]_{\text {out }}}=\sum_i \frac{N_i K_i}{1+K_i[\mathrm{~A}]_{out}}\)

Plot \(v /[\mathrm{A}]\) for the following cases.

(a) There are four independent sites on an enzyme molecule and the intrinsic binding constant is \(K=1.0 \times 10^7\).

(b) There are a total of six sites per polymer. Four of the sites are identical and have an intrinsic binding constant of \(1 \times 10^5\). The binding constants for the other two sites are \(2 \times 10^6\).

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