Summary: We show that \(p\)-adic models of ultrametric diffusion can be used to describe the conformational dynamics of macromolecules and chemical kinetics associated with macromolecular dynamics. The approach presented in this paper is based on the application of hierarchical approximation to the description of the dynamics on multidimensional rugged energy landscapes and to a \(p\)-adic description of the dynamics of macromolecules in terms of transitions between basins of states. We show that ultrametric models make it possible to describe the characteristic types of relaxation in macromolecular systems, namely, the Kohlrausch law, the power decay law, and the logarithmic decay law, within a unified approach. We construct and study a \(p\)-adic model of ultrametric diffusion with a reaction sink. This model is used to describe the kinetics of CO rebinding to myoglobin and demonstrates the correspondence between theoretical results and experimentally observable characteristics of rebinding kinetics.
For the entire collection see [Zbl 1087.46002].