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Mathematical Modeling of the Proliferation Gradient in MultiCellular Tumor Spheroids

hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorMICHEL, Thomas
hal.structure.identifierInstitut des Technologies Avancées en sciences du Vivant [ITAV]
hal.structure.identifierInstitut de Mathématiques de Toulouse UMR5219 [IMT]
dc.contributor.authorFEHRENBACH, Jérôme
hal.structure.identifierLaboratoire de Biologie Cellulaire et Moléculaire du Contrôle de la Prolifération [LBCMCP]
dc.contributor.authorLOBJOIS, Valérie
hal.structure.identifierInstitut des Technologies Avancées en sciences du Vivant [ITAV]
dc.contributor.authorLAURENT, Jennifer
hal.structure.identifierInstitut des Technologies Avancées en sciences du Vivant [ITAV]
dc.contributor.authorGOMES, Aurelie
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorCOLIN, Thierry
hal.structure.identifierModélisation Mathématique pour l'Oncologie [MONC]
dc.contributor.authorPOIGNARD, Clair
dc.date.accessioned2024-04-04T03:05:06Z
dc.date.available2024-04-04T03:05:06Z
dc.date.issued2018-12
dc.identifier.issn0022-5193
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193215
dc.description.abstractEnMultiCellular Tumor Spheroids are 3D cell cultures that can accurately reproduce the behavior of solid tumors. It has been experimentally observed that large spheroids exhibit a decreasing gradient of proliferation from the periphery to the center of these multicellular 3D models: the proportion of proliferating cells is higher in the periphery while the non-proliferating quiescent cells increase in depth. In this paper, we propose to investigate the key mechanisms involved in the establishment of this gradient with a Partial Differential Equations model that mimics the experimental setup of growing spheroids under different nutrients supply conditions. The model consists of mass balance equations on the two cell populations observed in the data: the proliferating cells and the quiescent cells. The spherical symmetry is used to rewrite the model in radial and relative coordinates. Thanks to a rigorous data postprocessing the model is then fit and compared quantitatively with the experimental quantification of the percentage of proliferating cells from EdU immun-odetection on 2D spheroid cryosection images. The results of this calibration show that the proliferation gradient observed in spheroids can be quantitatively reproduced by our model.
dc.language.isoen
dc.publisherElsevier
dc.subject.enProliferation gradient in tumors
dc.subject.enTumor growth model
dc.subject.enNonlinear advection-reaction equations
dc.title.enMathematical Modeling of the Proliferation Gradient in MultiCellular Tumor Spheroids
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jtbi.2018.08.031
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Theoretical Biology
bordeaux.page133 - 147
bordeaux.volume458
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01883189
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01883189v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Theoretical%20Biology&rft.date=2018-12&rft.volume=458&rft.spage=133%20-%20147&rft.epage=133%20-%20147&rft.eissn=0022-5193&rft.issn=0022-5193&rft.au=MICHEL,%20Thomas&FEHRENBACH,%20J%C3%A9r%C3%B4me&LOBJOIS,%20Val%C3%A9rie&LAURENT,%20Jennifer&GOMES,%20Aurelie&rft.genre=article


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