RT Journal Article SR Electronic T1 Relationship between protein thermodynamic constraints and variation of evolutionary rates among sites JF bioRxiv FD Cold Spring Harbor Laboratory SP 009423 DO 10.1101/009423 A1 Julian Echave A1 Eleisha L. Jackson A1 Claus O. Wilke YR 2014 UL http://biorxiv.org/content/early/2014/09/19/009423.abstract AB Evolutionary-rate variation among sites within proteins depends on functional and biophysical properties that constrain protein evolution. It is generally accepted that proteins must be able to fold stably in order to function. However, the relationship between stability constraints and among-sites rate variation is not well understood. Here, we present a biophysical model that links the thermodynamic stability changes due to mutations at sites in proteins (ΔΔG) to the rate at which mutations accumulate at those sites over evolutionary time. We find that such a “stability model” generally performs well, displaying correlations between predicted and empirically observed rates of up to 0.75 for some proteins. We further find that our model has comparable predictive power as does an alternative, recently proposed “stress model” that explains evolutionary-rate variation among sites in terms of the excess energy needed for mutants to adopt the correct active structure (ΔΔG*). The two models make distinct predictions, though, and for some proteins the stability model outperforms the stress model and vice versa. We conclude that both stability and stress constrain site-specific sequence evolution in proteins.