Non-Markovian Persistent Random Walk Model for Intracellular Transport
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Non-Markovian Persistent Random Walk Model for Intracellular Transport
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| Автор |
Korabel, N.
Al, Shamsi, H. Ivanov, A. O. Fedotov, S. |
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| Тематика |
INTEGRO-DIFFERENTIAL EQUATIONS
INTRACELLULAR TRANSPORT SUBDIFFUSION SUPERDIFFUSION |
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| Описание |
Transport of vesicles and organelles inside cells consists of constant-speed bidirectional movement along cytoskeletal filaments interspersed by periods of idling. This transport shows many features of anomalous diffusion. In this paper, we develop a non-Markovian persistent random walk model for intracellular transport that incorporates the removal rate of organelles. The model consists of two active states with different speeds and one resting state. The organelle transitions between states with switching rates that depend on the residence time the organelle spends in each state. The mesoscopic master equations that describe the average densities of intracellular transport in each of the three states are the main results of the paper. We also derive ordinary differential equations for the dynamics for the first and second moments of the organelles’ position along the cell. Furthermore, we analyse models with power-law distributed random times, which reveal the prevalence of the Mittag-Leffler resting state and its contribution to subdiffusive and superdiffusive behaviour. Finally, we demonstrate a non-Markovian non-additivity effect when the switching rates and transport characteristics depend on the rate of organelles removal. The analytical calculations are in good agreement with numerical Monte Carlo simulations. Our results shed light on the dynamics of intracellular transport and emphasise the effects of rest times on the persistence of random walks in complex biological systems. © 2023 by the authors.
075-02-2023-935; Engineering and Physical Sciences Research Council, EPSRC: EP/V008641/1 N.K. and S.F. acknowledge financial support from EPSRC Grant No. EP/V008641/1. The research was partly supported by the Ural Mathematical Center, Project No. 075-02-2023-935 (AOI). |
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| Дата |
2024-04-05T16:35:10Z
2024-04-05T16:35:10Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Korabel, N, Al Shamsi, H, Ivanov, A & Fedotov, S 2023, 'Non-Markovian Persistent Random Walk Model for Intracellular Transport', Fractal and Fractional, Том. 7, № 10, 758. https://doi.org/10.3390/fractalfract7100758
Korabel, N., Al Shamsi, H., Ivanov, A., & Fedotov, S. (2023). Non-Markovian Persistent Random Walk Model for Intracellular Transport. Fractal and Fractional, 7(10), [758]. https://doi.org/10.3390/fractalfract7100758 2504-3110 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85175143847&doi=10.3390%2ffractalfract7100758&partnerID=40&md5=49f5a74c747d82b382bb53635d8b5f74 https://www.mdpi.com/2504-3110/7/10/758/pdf?version=1697428843 http://elar.urfu.ru/handle/10995/130898 10.3390/fractalfract7100758 85175143847 001095196400001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Multidisciplinary Digital Publishing Institute (MDPI)
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| Источник |
Fractal and Fractional
Fractal and Fractional |
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