9 citations
6 papers
Ultrametric theory of conformational dynamics of protein molecules in a functional state and the description of experiments on the kinetics of CO binding to myoglobin
A. Kh. Bikulov, A. P. Zubarev
The paper is devoted to a systematic account of the theory of conformational dynamics of protein molecules. As an example of application of this theory, we provide a complete analy…
Toward ultrametric modeling of the epidemic spread
V. T. Volov, A. P. Zubarev
An ultrametric model of epidemic spread of infections based on the classical SIR model is proposed. Ultrametrics on a set of individuals based on theire hierarchical clustering rel…
Model of the -Adic Random Walk in a Potential
A. Kh. Bikulov, A. P. Zubarev
We consider the -adic random walk model in a potential, which can be viewed as a generalization of -adic random walk models used for description of protein conformational dyn…
On the ultrametric generated by random distribution of points in Euclidean spaces of large dimensions with correlated coordinates
A. P. Zubarev
In a recent paper the author proved a theorem to the effect that the matrix of normalized Euclidean distances on the set of specially distributed random points in the -dimension…
Weiss mean-field approximation for multicomponent stochastic spatially extended systems
Svetlana E. Kurushina, Valerii V. Maximov, Yurii M. Romanovskii
We develop a mean-field approach for multicomponent stochastic spatially extended systems and use it to obtain a multivariate nonlinear self-consistent Fokker-Planck equation defin…
Fractal-cluster theory and thermodynamic principles of the control and analysis for the self-organizing systems
V. T. Volov
The theory of resource distribution in self-organizing systems on the basis of the fractal-cluster method has been presented. In turn, the fractal-cluster method is based on the fr…