Abstract

Surprisingly accurate description of spectral diffusion in deeply frozen proteins is constructed on the basis of protein ultrametricity. We show that the ultrametric diffusion equation with self-similar hierarchy of the transition rates offers a simple description of protein dynamics in the spectral diffusion context. Earlier the same ultrametric diffusion equation has been used in the description of ligand-rebinding kinetics of myoglobin. Thus ultrametricity offers a universal background for the description of protein dynamics on very different scales of protein motions.

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