Experimental estimation of stored stress within spherical microtissues
FEHRENBACH, Jérôme
Institut de Mathématiques de Toulouse UMR5219 [IMT]
Institut des Technologies Avancées en sciences du Vivant [ITAV]
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Institut de Mathématiques de Toulouse UMR5219 [IMT]
Institut des Technologies Avancées en sciences du Vivant [ITAV]
FEHRENBACH, Jérôme
Institut de Mathématiques de Toulouse UMR5219 [IMT]
Institut des Technologies Avancées en sciences du Vivant [ITAV]
< Reduce
Institut de Mathématiques de Toulouse UMR5219 [IMT]
Institut des Technologies Avancées en sciences du Vivant [ITAV]
Language
en
Article de revue
This item was published in
Journal of Mathematical Biology. 2018, vol. 77, n° 4
Springer
English Abstract
Biological 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 ...Read more >
Biological 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.Read less <
English Keywords
Spherical microtissues
Stored stress
Parametric study
Hyperelasticity
Origin
Hal imported