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Pré-publication, Document de travail

Mechanical formalism for tissue dynamics

Abstract : The understanding of morphogenesis in living organisms has been renewed by tremendous progress in experimental techniques that provide access to cell-scale, quantitative information both on the shapes of cells within tissues and on the genes being expressed. This information suggests that our understanding of the respective contributions of gene expression and mechanics, and of their crucial entanglement, will soon leap forward. Biomechanics increasingly benefits from models, which assist the design and interpretation of experiments, point out the main ingredients and assumptions, and can ultimately lead to predictions. The newly accessible local information thus urges for a reflection on how to select suitable classes of mechanical models. We review both mechanical ingredients suggested by the current knowledge of tissue behaviour, and modelling methods that can help generate a constitutive equation. We also recall the mathematical framework developped for continuum materials and how to transform a constitutive equation into a system of partial differential equations amenable to numerical resolution. The present article thus groups together mechanical elements and theoretical methods that are ready to enhance the significance of the data extracted from recent or future high throughput biomechanical experiments.
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https://hal.archives-ouvertes.fr/hal-00867285
Contributeur : Cyprien Gay Connectez-vous pour contacter le contributeur
Soumis le : vendredi 27 septembre 2013 - 23:20:41
Dernière modification le : mardi 7 décembre 2021 - 10:58:03
Archivage à long terme le : : vendredi 7 avril 2017 - 04:16:02

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Identifiants

  • HAL Id : hal-00867285, version 1
  • ARXIV : 1309.7432

Citation

Sham Tlili, Cyprien Gay, Francois Graner, Philippe Marcq, François Molino, et al.. Mechanical formalism for tissue dynamics. 2013. ⟨hal-00867285v1⟩

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