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dc.contributor.authorMuñoz Romero, José
dc.contributor.authorConte, Vito
dc.contributor.authorMiodownik, M.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.identifier.citationMuñoz, José J.; Conte, V.; Miodownik, M. Truss model for stress controlled morphogenesis. A: International Conference on Computational & Mathematical Biomedical Engineering. "1st International Conference on Computational & Mathematical Biomedical Engineering". Swansea: 2009, p. 419-422.
dc.description.abstractWe resort to the usual decomposition of the deformation gradient into an active and a passive component, and deduce the constitutive law and equilibrium equations when the two components are not independent. In the model described here the active of the deformation is related to the hyperelastic passive part through a control function that simulates a feedback mechanism that has been experimentally observed during embryo development. Using a variational approach, we first write the equations for continua and study the effects of the control function in these equations. We particularise the results for a system of trusses, which allows us to obtain a simplified set of equations. In our derivations, we apply special attention to the conditions that a thermodynamically complaint formulation should satisfy. We particularise these equations and conditions for the relevant elements of the cytoskeleton, namely, microfilaments and microtubules. We apply the model to simulate the shape changes observed during invagination of the Drosophila Melanogaster embryo. As a salient result, the model reveals that the incompressibility constraint of the yolk furnishes a necessary pressure on the epithelium that eventually eases its internalisation.
dc.format.extent4 p.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshMathematical models
dc.subject.otherMorphogenesis Development Drosophila Growth Trusses Invagination
dc.titleTruss model for stress controlled morphogenesis
dc.typeConference lecture
dc.subject.lemacModels matemàtics
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Centre Específic de Recerca de Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.dlSwansea, UK
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
upcommons.citation.authorMuñoz, José J.; Conte, V.; Miodownik, M.
upcommons.citation.contributorInternational Conference on Computational & Mathematical Biomedical Engineering
upcommons.citation.publicationName1st International Conference on Computational & Mathematical Biomedical Engineering

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