Form-finding of complex tensegrity structures: application to cell cytoskeleton modelling

Haïmad Baudriller; Bernard Maurin; Patrick Cañadas; Philippe Montcourrier; Andrea Parmeggiani; Nadir Bettache

doi:10.1016/j.crme.2006.08.004

Form-finding of complex tensegrity structures: application to cell cytoskeleton modelling
[Recherche de forme des structures de tenségrité complexes : application à la modélisation du cytosquelette cellulaire]

Présenté par : Évariste Sanchez-Palencia

Haïmad Baudriller ¹ ; Bernard Maurin ¹ ; Patrick Cañadas ¹ ; Philippe Montcourrier ² ; Andrea Parmeggiani ² ; Nadir Bettache ²

¹ Laboratoire de mécanique et génie civil, UMR CNRS 5508, université Montpellier 2, CC 48, 34095 Montpellier cedex 5, France
² Dynamique moléculaire des interactions membranaires, UMR CNRS 5539, université Montpellier 2, 34095 Montpellier cedex 5, France

Comptes Rendus. Mécanique, Volume 334 (2006) no. 11, pp. 662-668.

Résumé
Abstract

La capacité à modéliser de façon la plus réaliste possible le comportement mécanique du cytosquelette des cellules constitue un point essentiel dans la compréhension de nombreux mécanismes biologiques. Les systèmes de tenségrité ont à cet égard déjà démontré leur pertinence. Néanmoins, les structures considérées à ce jour reposent uniquement sur des modèles avec une géométrie et une topologie simplifiées au regard de la complexité réelle de l'architecture des cytosquelettes. Ces travaux ont ainsi pour objectif de proposer une méthode de recherche de forme permettant de générer des formes de tenségrité non régulières plus riches et complexes. Le procédé est fondé sur la méthode de relaxation dynamique. Les modifications apportées offrent la possibilité de contrôler les morphologies ainsi calculées pour se rapprocher de configurations expérimentalement observées. Plusieurs applications montrent la mise en œuvre du processus et les résultats obtenus s'agissant de différentes typologies de cellules.

The ability to model the mechanical behaviour of the cell cytoskeleton as realistically as possible is a key point in understanding numerous biological mechanisms. Tensegrity systems have already demonstrated their pertinence for this purpose. However, the structures considered until now are based only on models with simplified geometry and topology compared to the true complexity of cytoskeleton architecture. The aim of this Note is to propose a form-finding method for generating nonregular tensegrity shapes of higher diversity and complexity. The process relies on the use of the dynamic relaxation method. Further improvements have made it possible to control the computed morphologies and to modify them to approach experimentally observed configurations. Various examples illustrate the use of the method and the results obtained for different cell typologies.

Reçu le : 2006-03-17
Accepté le : 2006-08-31
Publié le : 2006-09-28

DOI : 10.1016/j.crme.2006.08.004

Keywords: Biomechanics, Tensegrity, Nonregular shape, Cytoskeleton
Mots-clés : Biomécanique, Tenségrité, Forme non régulière, Cytosquelette

Affiliations des auteurs :

Haïmad Baudriller ¹ ; Bernard Maurin ¹ ; Patrick Cañadas ¹ ; Philippe Montcourrier ² ; Andrea Parmeggiani ² ; Nadir Bettache ²

¹ Laboratoire de mécanique et génie civil, UMR CNRS 5508, université Montpellier 2, CC 48, 34095 Montpellier cedex 5, France
² Dynamique moléculaire des interactions membranaires, UMR CNRS 5539, université Montpellier 2, 34095 Montpellier cedex 5, France

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Haïmad Baudriller; Bernard Maurin; Patrick Cañadas; Philippe Montcourrier; Andrea Parmeggiani; Nadir Bettache. Form-finding of complex tensegrity structures: application to cell cytoskeleton modelling. Comptes Rendus. Mécanique, Volume 334 (2006) no. 11, pp. 662-668. doi : 10.1016/j.crme.2006.08.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.08.004/

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