Morphogenesis of growing soft tissues

Details Morphogenesis of growing soft tissues Morphogenesis of growing soft tissues

2007-12-12

arxiv.org/abs/0712.1970v1

Biology

Quantitative Biology

Tissues and Organs

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.101.068101

Recently, much attention has been given to a noteworthy property of some soft tissues: their ability to grow. Many attempts have been made to model this behaviour in biology, chemistry and physics. Using the theory of finite elasticity, Rodriguez has postulated a multiplicative decomposition of the geometric deformation gradient into a growth-induced part and an elastic one needed to ensure compatibility of the body. In order to fully explore the consequences of this hypothesis, the equations describing thin elastic objects under finite growth are derived. Under appropriate scaling assumptions for the growth rates, the proposed model is of the Foppl-von Karman type. As an illustration, the circumferential growth of a free hyperelastic disk is studied.

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