Elastic growth in thin geometriesJ. Dervaux and M. Ben Amar
Laboratoire de Physique Statistique de l'École Normale Supérieure, 24 rue Lhomond, 75230 Paris Cedex 05, France
Published online: 17 September 2009
Generation of shapes in biological tissues is a complex multiscale phenomenon. Biochemical details of cell proliferation, death and mobility can be incorporated within a continuum mechanical framework by specifying locally the amplitude and direction of growth. For tissues exhibiting an elastic behavior, equilibrium shapes of growing bodies can be evaluated through the minimization of an appropriate energy. This model is applied to thin shells and plates, a geometry relevant to nuts and pollen grains but also leaves, petals and algae.
© EDP Sciences 2009