Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift-Reference-Cited by-同舟云学术

Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift

Published:2015-06 Issue:02 Volume:18 Page:1550013
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Khrennikov Andrei¹,Kozyrev Sergei²,Månsson Alf³

Affiliation:

1. International Center for Mathematical, Modeling in Physics and Cognitive Sciences, Linnaeus University, Sweden

2. Steklov Mathematical Institute, Russian Academy of Sciences, Russia

3. School of Natural Sciences, Linnaeus University, Sweden

Abstract

We discuss the approach to investigate molecular machines using systems of integro–differential ultrametric (p-adic) reaction–diffusion equations with drift. This approach combines the features of continuous and discrete dynamic models. We apply this model to investigation of actomyosin molecular motor. The introduced system of equations is solved analytically using p-adic wavelet theory. We find explicit stationary solutions and behavior in the relaxation regime.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025715500137

Reference47 articles.

1. p-Adic Analysis and Mathematical Physics

2. S. Albeverio and W. Karwowski, Gaussian Random Fields, eds. K. Ito and H. Hida (World Scientific, 1991) pp. 86–99.

3. Pseudo-Differential Equations and Stochastics Over Non-Archimedean Fields

4. Taibleson operators,p-adic parabolic equations and ultrametric diffusion

5. Local zeta functions and fundamental solutions for pseudo-differential operators over p-adic fields

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