Fig. 5.

Simulations with phylogeny and interactions. Here sequences are simulated with phylogeny and interactions taken from the contact map of (A) DHFR, using $m/p=0.068$, and (B) Trypsin, using $m/p=0.059$. A and B, Top show the histograms of eigenvalues, compared with the MP distribution (blue curve); Insets show the contact maps. These $m/p$ values are used to compute the analytical distributions (red curves) which match the data well. A and B, Bottom show log–log plots of the eigenvalues as a function of rank. The predicted slope is calculated from the value of $\alpha (m/p)$ using Eq. 1 in each case and provides an excellent fit.