Stress-dependent morphogenesis: continuum mechanics and truss systems

@article{Muoz2010StressdependentMC,
  title={Stress-dependent morphogenesis: continuum mechanics and truss systems},
  author={J. Mu{\~n}oz and V. Conte and M. Miodownik},
  journal={Biomechanics and Modeling in Mechanobiology},
  year={2010},
  volume={9},
  pages={451-467}
}
A set of equilibrium equations is derived for the stress-controlled shape change of cells due to the remodelling and growth of their internal architecture. The approach involves the decomposition of the deformation gradient into an active and a passive component; the former is allowed to include a growth process, while the latter is assumed to be hyperelastic and mass-preserving. The two components are coupled with a control function that provides the required feedback mechanism. The balance… Expand
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