Ultrametricity of Fluctuation Dynamic Mobility of Protein Molecules

V. A. Avetisov ; A. Kh. Bikulov

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 82-89

Résumé

We show that a $p$-adic equation of ultrametric diffusion describes the fluctuation dynamic mobility of a protein molecule according to the experimental data obtained at low temperatures by the spectral diffusion method. In the earlier paper published in the Proceedings of the Steklov Institute of Mathematics (2004, vol. 245), the same $p$-adic equation was employed to describe the kinetics of the enzymatic reaction of CO rebinding to myoglobin. Thus, the $p$-adic equation of ultrametric diffusion provides an adequate and surprisingly simple description of the fluctuation dynamic mobility of protein molecules that is observed in the range from helium to room temperature on a very wide range of time scales.