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Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
Russian Acad Sci, Russia.
Linnaeus University, Faculty of Health and Life Sciences, Department of Chemistry and Biomedical Sciences.ORCID iD: 0000-0002-5889-7792
2015 (English)In: Infinite Dimensional Analysis Quantum Probability and Related Topics, ISSN 0219-0257, Vol. 18, no 2, 1550013Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2015. Vol. 18, no 2, 1550013
National Category
Mathematics Biochemistry and Molecular Biology
Research subject
Natural Science, Mathematics; Natural Science, Biomedical Sciences
Identifiers
URN: urn:nbn:se:lnu:diva-46244DOI: 10.1142/S0219025715500137ISI: 000356062300005OAI: oai:DiVA.org:lnu-46244DiVA: diva2:853462
Available from: 2015-09-14 Created: 2015-09-11 Last updated: 2016-05-03Bibliographically approved

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Khrennikov, AndreiMånsson, Alf
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