{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T19:44:49Z","timestamp":1782243889211,"version":"3.54.5"},"reference-count":57,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2021,7,27]],"date-time":"2021-07-27T00:00:00Z","timestamp":1627344000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/V008641\/1"],"award-info":[{"award-number":["EP\/V008641\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010269","name":"Wellcome Trust","doi-asserted-by":"publisher","award":["Grant No. 215189\/Z\/19\/Z"],"award-info":[{"award-number":["Grant No. 215189\/Z\/19\/Z"]}],"id":[{"id":"10.13039\/100010269","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003086","name":"Basque Government","doi-asserted-by":"publisher","award":["BERC 2018\u20132021 programs"],"award-info":[{"award-number":["BERC 2018\u20132021 programs"]}],"id":[{"id":"10.13039\/501100003086","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Spanish Ministry of Economy and Competitiveness MINECO","award":["BCAM Severo Ochoa excellence accreditation SEV-2017-0718"],"award-info":[{"award-number":["BCAM Severo Ochoa excellence accreditation SEV-2017-0718"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Trajectories of endosomes inside living eukaryotic cells are highly heterogeneous in space and time and diffuse anomalously due to a combination of viscoelasticity, caging, aggregation and active transport. Some of the trajectories display switching between persistent and anti-persistent motion, while others jiggle around in one position for the whole measurement time. By splitting the ensemble of endosome trajectories into slow moving subdiffusive and fast moving superdiffusive endosomes, we analyzed them separately. The mean squared displacements and velocity auto-correlation functions confirm the effectiveness of the splitting methods. Applying the local analysis, we show that both ensembles are characterized by a spectrum of local anomalous exponents and local generalized diffusion coefficients. Slow and fast endosomes have exponential distributions of local anomalous exponents and power law distributions of generalized diffusion coefficients. This suggests that heterogeneous fractional Brownian motion is an appropriate model for both fast and slow moving endosomes. This article is part of a Special Issue entitled: \u201cRecent Advances In Single-Particle Tracking: Experiment and Analysis\u201d edited by Janusz Szwabi\u0144ski and Aleksander Weron.<\/jats:p>","DOI":"10.3390\/e23080958","type":"journal-article","created":{"date-parts":[[2021,7,27]],"date-time":"2021-07-27T03:53:53Z","timestamp":1627358033000},"page":"958","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":31,"title":["Local Analysis of Heterogeneous Intracellular Transport: Slow and Fast Moving Endosomes"],"prefix":"10.3390","volume":"23","author":[{"given":"Nickolay","family":"Korabel","sequence":"first","affiliation":[{"name":"Department of Mathematics, The University of Manchester, Manchester M13 9PL, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9088-1651","authenticated-orcid":false,"given":"Daniel","family":"Han","sequence":"additional","affiliation":[{"name":"Department of Mathematics, The University of Manchester, Manchester M13 9PL, UK"},{"name":"School of Biological Sciences, The University of Manchester, Manchester M13 9PT, UK"},{"name":"Biological Physics, Department of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8863-7166","authenticated-orcid":false,"given":"Alessandro","family":"Taloni","sequence":"additional","affiliation":[{"name":"CNR\u2014Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, Via dei Taurini 19, 00185 Roma, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gianni","family":"Pagnini","sequence":"additional","affiliation":[{"name":"BCAM\u2014Basque Center for Applied Mathematics, Mazarredo 14, 48009 Bilbao, Spain"},{"name":"Ikerbasque\u2014Basque Foundation for Science, Plaza Euskadi 5, 48009 Bilbao, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sergei","family":"Fedotov","sequence":"additional","affiliation":[{"name":"Department of Mathematics, The University of Manchester, Manchester M13 9PL, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Viki","family":"Allan","sequence":"additional","affiliation":[{"name":"School of Biological Sciences, The University of Manchester, Manchester M13 9PT, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Thomas Andrew","family":"Waigh","sequence":"additional","affiliation":[{"name":"Biological Physics, Department of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2021,7,27]]},"reference":[{"key":"ref_1","unstructured":"Klages, R., Radons, G., and Sokolov, I.M. 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