Intermediates can Accelerate Protein Folding

The effect of intermediates on the rate of protein folding is explored by applying Kramers' theory of diffusive barrier crossing in the high friction limit. Intermediates are represented as local minima in the transition barrier. We observe that very large or very small additional barriers created by the intermediates slow down the folding process. The rate of folding markedly increases, however, when the additional barriers become >1 kBT but leave the overall barrier height unchanged. This rate-enhancing effect is caused by a favorable entropic contribution to the free energy of activation, and it increases with the number of intermediates up to a limiting value. From these calculations, we conclude that optimized transition barriers should contain partially folded high energy intermediates.