Variable-order fractional master equation and clustering of particles: non-uniform lysosome distributionCitation formats

Standard

Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution. / Fedotov, Sergei; Han, Daniel; Zubarev, Andrey Yu; Johnston, Mark; Allan, Victoria J.

In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 379, No. 2205, 06.09.2021, p. 20200317.

Research output: Contribution to journalArticlepeer-review

Harvard

Fedotov, S, Han, D, Zubarev, AY, Johnston, M & Allan, VJ 2021, 'Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 379, no. 2205, pp. 20200317. https://doi.org/10.1098/rsta.2020.0317

APA

Fedotov, S., Han, D., Zubarev, A. Y., Johnston, M., & Allan, V. J. (2021). Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2205), 20200317. https://doi.org/10.1098/rsta.2020.0317

Vancouver

Fedotov S, Han D, Zubarev AY, Johnston M, Allan VJ. Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2021 Sep 6;379(2205):20200317. https://doi.org/10.1098/rsta.2020.0317

Author

Fedotov, Sergei ; Han, Daniel ; Zubarev, Andrey Yu ; Johnston, Mark ; Allan, Victoria J. / Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2021 ; Vol. 379, No. 2205. pp. 20200317.

Bibtex

@article{65cd28354c6447b8a14bc12f72f16d60,
title = "Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution",
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.",
keywords = "fractional equations, intracellular transport, subdiffusion",
author = "Sergei Fedotov and Daniel Han and Zubarev, {Andrey Yu} and Mark Johnston and Allan, {Victoria J.}",
year = "2021",
month = sep,
day = "6",
doi = "10.1098/rsta.2020.0317",
language = "English",
volume = "379",
pages = "20200317",
journal = "Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences",
issn = "1471-2946",
publisher = "Royal Society",
number = "2205",

}

RIS

TY - JOUR

T1 - Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution

AU - Fedotov, Sergei

AU - Han, Daniel

AU - Zubarev, Andrey Yu

AU - Johnston, Mark

AU - Allan, Victoria J.

PY - 2021/9/6

Y1 - 2021/9/6

N2 - 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.

AB - 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.

KW - fractional equations

KW - intracellular transport

KW - subdiffusion

U2 - 10.1098/rsta.2020.0317

DO - 10.1098/rsta.2020.0317

M3 - Article

VL - 379

SP - 20200317

JO - Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences

JF - Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences

SN - 1471-2946

IS - 2205

ER -