Dynamics-Evolution Correspondence in Protein Structures

The genotype-phenotype mapping of proteins is a fundamental question in structural biology. In this Letter, with the analysis large dataset from hundreds protein families, we quantitatively demonstrate correlations between noise-induced dynamics and mutation-induced variations native structures, indicating dynamics-evolution correspondence proteins. Based on investigations linear responses proteins, origin such elucidated. It essential that noise- deformations are restricted common low-dimensional subspace, as confirmed data. These results suggest an evolutionary mechanism gaining both dynamical flexibility variability.