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Experimental estimation of stored stress within spherical microtissues

hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorCOLIN, Thierry
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorDECHRISTÉ, Guillaume
hal.structure.identifierInstitut de Mathématiques de Toulouse UMR5219 [IMT]
hal.structure.identifierInstitut des Technologies Avancées en sciences du Vivant [ITAV]
dc.contributor.authorFEHRENBACH, Jérôme
hal.structure.identifierInstitut des Technologies Avancées en sciences du Vivant [ITAV]
dc.contributor.authorGUILLAUME, Ludivine
hal.structure.identifierInstitut des Technologies Avancées en sciences du Vivant [ITAV]
dc.contributor.authorLOBJOIS, Valérie
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorPOIGNARD, Clair
dc.date.accessioned2024-04-04T03:06:07Z
dc.date.available2024-04-04T03:06:07Z
dc.date.issued2018
dc.identifier.issn0303-6812
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193310
dc.description.abstractEnBiological tissues accumulate mechanical stress during their growth. The mere measurement of the stored stress is not an easy task. We address here the spherical case and our experiments consist in performing an incision of a spherical microtissue (tumor spheroid) grown in vitro. On the theoretical part we derive a compatibility condition on the stored stress in spherical symmetry, which imposes a relation between the circumferential and radial stored stress. The numerical implementation uses the hyperelastic model of Ciarlet and Geymonat. A parametric study is performed to assess the influence of each parameter on the shape of the domain after the incision. As a conclusion, the total radial stored stress can be confidently estimated from the measurement of the opening after incision. We validate the approach with experimental data.
dc.language.isoen
dc.publisherSpringer
dc.subject.enSpherical microtissues
dc.subject.enStored stress
dc.subject.enParametric study
dc.subject.enHyperelasticity
dc.title.enExperimental estimation of stored stress within spherical microtissues
dc.title.enWhat can and cannot be inferred from cutting experiments
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Mathematical Biology
bordeaux.volume77
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01782340
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01782340v1
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