The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm

By collecting from literature data experimental evidence of anomalous diffusion of passive tracers inside cytoplasm, and in particular of subdiffusion of mRNA molecules inside live Escherichia coli cells, we obtain the probability density function of molecules’ displacement and we derive the corresp...

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Detalles Bibliográficos
Autores: Runfola, C., Vitali, S., Pagnini, G.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2022
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1551
Acceso en línea:http://hdl.handle.net/20.500.11824/1551
https://doi.org/10.1098/rsos.221141
Access Level:acceso abierto
Palabra clave:anomalous diffusion
Fokker–Planck equation
Erdélyi–Kober fractional equation
Krätzel function
mRNA molecules
Escherichia coli cells
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spelling The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasmRunfola, C.Vitali, S.Pagnini, G.anomalous diffusionFokker–Planck equationErdélyi–Kober fractional equationKrätzel functionmRNA moleculesEscherichia coli cellsBy collecting from literature data experimental evidence of anomalous diffusion of passive tracers inside cytoplasm, and in particular of subdiffusion of mRNA molecules inside live Escherichia coli cells, we obtain the probability density function of molecules’ displacement and we derive the corresponding Fokker–Planck equation. Molecules’ distribution emerges to be related to the Krätzel function and its Fokker–Planck equation to be a fractional diffusion equation in the Erdélyi–Kober sense. The irreducibility of the derived Fokker–Planck equation to those of other literature models is also discussed.BERC 2018–2021 BERC 2022–2025202320232022info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/1551https://doi.org/10.1098/rsos.221141reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://royalsocietypublishing.org/doi/10.1098/rsos.221141info:eu-repo/grantAgreement/MINECO//SEV-2017-0718Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/15512026-06-19T12:47:47Z
dc.title.none.fl_str_mv The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm
title The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm
spellingShingle The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm
Runfola, C.
anomalous diffusion
Fokker–Planck equation
Erdélyi–Kober fractional equation
Krätzel function
mRNA molecules
Escherichia coli cells
title_short The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm
title_full The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm
title_fullStr The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm
title_full_unstemmed The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm
title_sort The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm
dc.creator.none.fl_str_mv Runfola, C.
Vitali, S.
Pagnini, G.
author Runfola, C.
author_facet Runfola, C.
Vitali, S.
Pagnini, G.
author_role author
author2 Vitali, S.
Pagnini, G.
author2_role author
author
dc.subject.none.fl_str_mv anomalous diffusion
Fokker–Planck equation
Erdélyi–Kober fractional equation
Krätzel function
mRNA molecules
Escherichia coli cells
topic anomalous diffusion
Fokker–Planck equation
Erdélyi–Kober fractional equation
Krätzel function
mRNA molecules
Escherichia coli cells
description By collecting from literature data experimental evidence of anomalous diffusion of passive tracers inside cytoplasm, and in particular of subdiffusion of mRNA molecules inside live Escherichia coli cells, we obtain the probability density function of molecules’ displacement and we derive the corresponding Fokker–Planck equation. Molecules’ distribution emerges to be related to the Krätzel function and its Fokker–Planck equation to be a fractional diffusion equation in the Erdélyi–Kober sense. The irreducibility of the derived Fokker–Planck equation to those of other literature models is also discussed.
publishDate 2022
dc.date.none.fl_str_mv 2022
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/1551
https://doi.org/10.1098/rsos.221141
url http://hdl.handle.net/20.500.11824/1551
https://doi.org/10.1098/rsos.221141
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://royalsocietypublishing.org/doi/10.1098/rsos.221141
info:eu-repo/grantAgreement/MINECO//SEV-2017-0718
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
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