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

2013/12/29 by Andrei Yu. Khrennikov, Khrennikov, A. Yu., С. В. Козырев +3
Computer Science · Mathematics · #Biomolecules (q-bio.BM) #FOS: Biological sciences #Mathematical Biology Tumor Growth #Nonlinear Dynamics and Pattern Formation #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1312.7528

openalex publication_date 2013/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the approach to investigation of 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.

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