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Viscoelastic modeling of the fusion of multicellular tumor spheroids in growth phase

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.authorGRISETI, Elena
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.accessioned2024-04-04T03:06:06Z
dc.date.available2024-04-04T03:06:06Z
dc.date.issued2018-10-07
dc.identifier.issn0022-5193
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193309
dc.description.abstractEnBackground. Since several decades, the experiments have highlighted the analogy of fusing cell aggregates with liquid droplets. The physical macroscopic models have been derived under incompressible assumptions. The aim of this paper is to provide a 3D model of growing spheroids, which is more relevant regarding embryo cell aggregates or tumor cell spheroids. Methods. We extend the past approach to a compressible 3D framework in order to account for the tumor spheroid growth. We exhibit the crucial importance of the effective surface tension, and of the inner pressure of the spheroid to describe precisely the fusion. The experimental data were obtained on spheroids of colon carcinoma human cells (HCT116 cell line). After 3 or 6 days of culture, two identical spheroids were transferred in one well and their fusion was monitored by live videomicroscopy acquisition each 2hours during 72h. From these images the neck radius and the diameter of the assembly of the fusing spheroids are extracted. Results. The numerical model is fitted with the experiments. It is worth noting that the time evolution of both neck radius and spheroid diameter are quantitatively obtained. The interesting feature lies in the fact that such measurements characterise the macroscopic rheological properties of the tumor spheroids. Conclusions. The experimental determination of the kinetics of neck radius and overall diameter during spheroids fusion characterises the rheological properties of the spheroids. The consistency of the model is shown by fitting the model with two different experiments, enhancing the importance of both surface tension and cell proliferation. General Significance. The paper sheds new light on the macroscopic rheological properties of tumor spheroids. It emphasizes the role of the surface tension and the inner pressure in the fusion of growing spheroid. Under geometrical assumptions, the model reduces to a 2–parameter differential equation fit with experimental measurements. The 3–D partial differential system makes it possible to study the fusion of spheroids in non-symmetrical or more general frameworks.
dc.language.isoen
dc.publisherElsevier
dc.subject.enTumor spheroid modeling
dc.subject.enStokes descriptions
dc.subject.enFusing cell Aggregates
dc.subject.enSurface Tension
dc.title.enViscoelastic modeling of the fusion of multicellular tumor spheroids in growth phase
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jtbi.2018.05.005
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Theoretical Biology
bordeaux.page102-109
bordeaux.volume454
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01786027
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01786027v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Theoretical%20Biology&rft.date=2018-10-07&rft.volume=454&rft.spage=102-109&rft.epage=102-109&rft.eissn=0022-5193&rft.issn=0022-5193&rft.au=DECHRIST%C3%89,%20Guillaume&FEHRENBACH,%20J%C3%A9r%C3%B4me&GRISETI,%20Elena&LOBJOIS,%20Val%C3%A9rie&POIGNARD,%20Clair&rft.genre=article


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