Experimental estimation of stored stress within spherical microtissues, what can and cannot be inferred from cutting experiments

DOI10.1007/s00285-018-1243-9zbMath1398.35231OpenAlexW2800722056WikidataQ63253109 ScholiaQ63253109MaRDI QIDQ1784424

Guillaume Dechristé, Thierry Colin, Jérôme Fehrenbach, Ludivine Guillaume, Clair Poignard, Valérie Lobjois

Publication date: 26 September 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-018-1243-9

zbMATH Keywords

parametric studyhyperelasticityspherical microtissuesstored stress

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Experimental work for problems pertaining to mechanics of deformable solids (74-05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Cell biology (92C37) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Constitutive modelling of soft biological tissue from ex vivo to in vivo: myocardium as an example

Uses Software

• Gmsh
• Getfem++
• ParaView
• ImageJ

Cites Work

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• Convexity conditions and existence theorems in nonlinear elasticity
• Computational inelasticity
• The use of a virtual configuration in formulating constitutive equations for residually stressed elastic materials
• Modeling Growth in Biological Materials
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH
• Geometry and thermomechanics of structural rearrangements: Ekkehart Kröner's legacy Plenary lecture presented at the 80th Annual GAMM Conference, Augsburg, 25-28 March 2002

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