A mathematical model of p62-ubiquitin aggregates in autophagy

Aggregation of ubiquitinated cargo by oligomers of the protein p62 is an important preparatory step in cellular autophagy. In this work a mathematical model for the dynamics of these heterogeneous aggregates in the form of a system of ordinary differential equations is derived and analyzed. Three di...

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Autores: Delacour, Julia, Doumic, Marie, Martens, Sascha, Schmeiser, Christian, Zaffagnini, Gabriele
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10230/52773
Acceso en línea:http://hdl.handle.net/10230/52773
http://dx.doi.org/10.1007/s00285-021-01659-2
Access Level:acceso abierto
Palabra clave:92C40 Biochemistry
Molecular biology
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spelling A mathematical model of p62-ubiquitin aggregates in autophagyDelacour, JuliaDoumic, MarieMartens, SaschaSchmeiser, ChristianZaffagnini, Gabriele92C40 BiochemistryMolecular biologyAggregation of ubiquitinated cargo by oligomers of the protein p62 is an important preparatory step in cellular autophagy. In this work a mathematical model for the dynamics of these heterogeneous aggregates in the form of a system of ordinary differential equations is derived and analyzed. Three different parameter regimes are identified, where either aggregates are unstable, or their size saturates at a finite value, or their size grows indefinitely as long as free particles are abundant. The boundaries of these regimes as well as the finite size in the second case can be computed explicitly. The growth in the third case (quadratic in time) can also be made explicit by formal asymptotic methods. In the absence of rigorous results the dynamic stability of these structures has been investigated by numerical simulations. A comparison with recent experimental results permits a partial parametrization of the model.This work has been supported by the PhD program Signalling Mechanisms in Cellular Autophagy, funded by the Austrian Science Fund (FWF), project no. W1261. CS also acknowledges support by FWF, Grant Nos. W1245 and SFB65. MD and JD have been partially supported by the ERC Starting Grant SKIPPERAD (Number 306321). MD thanks the Wolfgang Pauli Institute for the sabbatical stay in Vienna during which this work has been initiated.Springer202220222021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/10230/52773http://dx.doi.org/10.1007/s00285-021-01659-2reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésJ Math Biol. 2021 Dec 14;84(1-2):3info:eu-repo/grantAgreement/EC/FP7/306321© The Author(s) 2021. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:10230/527732026-05-29T05:05:01Z
dc.title.none.fl_str_mv A mathematical model of p62-ubiquitin aggregates in autophagy
title A mathematical model of p62-ubiquitin aggregates in autophagy
spellingShingle A mathematical model of p62-ubiquitin aggregates in autophagy
Delacour, Julia
92C40 Biochemistry
Molecular biology
title_short A mathematical model of p62-ubiquitin aggregates in autophagy
title_full A mathematical model of p62-ubiquitin aggregates in autophagy
title_fullStr A mathematical model of p62-ubiquitin aggregates in autophagy
title_full_unstemmed A mathematical model of p62-ubiquitin aggregates in autophagy
title_sort A mathematical model of p62-ubiquitin aggregates in autophagy
dc.creator.none.fl_str_mv Delacour, Julia
Doumic, Marie
Martens, Sascha
Schmeiser, Christian
Zaffagnini, Gabriele
author Delacour, Julia
author_facet Delacour, Julia
Doumic, Marie
Martens, Sascha
Schmeiser, Christian
Zaffagnini, Gabriele
author_role author
author2 Doumic, Marie
Martens, Sascha
Schmeiser, Christian
Zaffagnini, Gabriele
author2_role author
author
author
author
dc.subject.none.fl_str_mv 92C40 Biochemistry
Molecular biology
topic 92C40 Biochemistry
Molecular biology
description Aggregation of ubiquitinated cargo by oligomers of the protein p62 is an important preparatory step in cellular autophagy. In this work a mathematical model for the dynamics of these heterogeneous aggregates in the form of a system of ordinary differential equations is derived and analyzed. Three different parameter regimes are identified, where either aggregates are unstable, or their size saturates at a finite value, or their size grows indefinitely as long as free particles are abundant. The boundaries of these regimes as well as the finite size in the second case can be computed explicitly. The growth in the third case (quadratic in time) can also be made explicit by formal asymptotic methods. In the absence of rigorous results the dynamic stability of these structures has been investigated by numerical simulations. A comparison with recent experimental results permits a partial parametrization of the model.
publishDate 2021
dc.date.none.fl_str_mv 2021
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10230/52773
http://dx.doi.org/10.1007/s00285-021-01659-2
url http://hdl.handle.net/10230/52773
http://dx.doi.org/10.1007/s00285-021-01659-2
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv J Math Biol. 2021 Dec 14;84(1-2):3
info:eu-repo/grantAgreement/EC/FP7/306321
dc.rights.none.fl_str_mv http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
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