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

DOI10.1142/S0219025715500137zbMath1323.82037arXiv1312.7528OpenAlexW1871837174MaRDI QIDQ5500469

Alf Månsson, Andrei Yu. Khrennikov, Sergei V. Kozyrev

Publication date: 6 August 2015

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7528

zbMATH Keywords

ultrametric diffusionmolecular machines

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Reaction-diffusion equations (35K57) Cell biology (92C37) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (3)

Application of \(p\)-adic wavelets to model reaction-diffusion dynamics in random porous media ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Transport through a network of capillaries from ultrametric diffusion equation with quadratic nonlinearity

Cites Work

• \(p\)-adic Haar multiresolution analysis and pseudo-differential operators
• Taibleson operators, \(p\)-adic parabolic equations and ultrametric diffusion
• Dynamics on rugged landscapes of energy and ultrametric diffusion
• Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields
• Cauchy problem for fractional diffusion equations
• \(p\)-adic multiresolution analysis and wavelet frames
• p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
• Application ofp-adic analysis to models of breaking of replica symmetry
• Wavelet theory as $ p$-adic spectral analysis

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