Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/111409
Title: Variable-order Fractional Master Equation and Clustering of Particles: Non-uniform Lysosome Distribution
Authors: Fedotov, S.
Han, D.
Zubarev, A. Y.
Johnston, M.
Allan, V. J.
Issue Date: 2021
Publisher: Royal Society Publishing
The Royal Society
Citation: 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.
Abstract: 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).
Keywords: 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://hdl.handle.net/10995/111409
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85111808171
PURE ID: 22987589
ISSN: 1364-503X
metadata.dc.description.sponsorship: 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.
RSCF project card: 20-61-46013
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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