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Название: | Variable-order Fractional Master Equation and Clustering of Particles: Non-uniform Lysosome Distribution |
Авторы: | Fedotov, S. Han, D. Zubarev, A. Y. Johnston, M. Allan, V. J. |
Дата публикации: | 2021 |
Издатель: | Royal Society Publishing The Royal Society |
Библиографическое описание: | Variable-order Fractional Master Equation and Clustering of Particles: Non-uniform Lysosome Distribution / S. Fedotov, D. Han, A. Y. Zubarev et al. // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. — 2021. — Vol. 379. — Iss. 2205. — 20200317. |
Аннотация: | In this paper, we formulate the space-dependent variable-order fractional master equation to model clustering of particles, organelles, inside living cells. We find its solution in the long-time limit describing non-uniform distribution due to a space-dependent fractional exponent. In the continuous space limit, the solution of this fractional master equation is found to be exactly the same as the space-dependent variable-order fractional diffusion equation. In addition, we show that the clustering of lysosomes, an essential organelle for healthy functioning of mammalian cells, exhibit space-dependent fractional exponents. Furthermore, we demonstrate that the non-uniform distribution of lysosomes in living cells is accurately described by the asymptotic solution of the space-dependent variable-order fractional master equation. Finally, Monte Carlo simulations of the fractional master equation validate our analytical solution. This article is part of the theme issue 'Transport phenomena in complex systems (part 1)'. © 2021 The Author(s). |
Ключевые слова: | FRACTIONAL EQUATIONS INTRACELLULAR TRANSPORT SUBDIFFUSION CELL PROLIFERATION MAMMALS MONTE CARLO METHODS ASYMPTOTIC SOLUTIONS CONTINUOUS SPACES DEPENDENT VARIABLES FRACTIONAL DIFFUSION EQUATION FRACTIONAL EXPONENT MASTER EQUATIONS NON-UNIFORM DISTRIBUTION TRANSPORT PHENOMENA AGGLOMERATION ARTICLE DEPENDENT VARIABLE DIFFUSION INTRACELLULAR TRANSPORT LYSOSOME MAMMAL CELL MONTE CARLO METHOD |
URI: | http://elar.urfu.ru/handle/10995/111409 |
Условия доступа: | info:eu-repo/semantics/openAccess |
Идентификатор РИНЦ: | 46971073 |
Идентификатор SCOPUS: | 85111808171 |
Идентификатор WOS: | 000675372800008 |
Идентификатор PURE: | 22987589 |
ISSN: | 1364-503X |
DOI: | 10.1098/rsta.2020.0317 |
Сведения о поддержке: | Data accessibility. This article does not contain any additional data. Authors’ contributions. S.F. and A.Y.Z. conceived and designed the study and drafted the manuscript. D.H. conceived and designed the study, drafted the manuscript, carried out the experiments and performed data analysis. M.J. and V.J.A. carried out the experiments. All authors read and approved the manuscript. Competing interests. We declare we have no competing interests. Funding. S.F. and A.Y.Z. acknowledge financial support from RSF project 20-61-46013. D.H. acknowledges financial support from the Wellcome Trust grant no. 215189/Z/19/Z. V.J.A. acknowledges financial support from the EPSRC grant no. EP/N018060/1. |
Карточка проекта РНФ: | 20-61-46013 |
Располагается в коллекциях: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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