A mathematical model for the growth of the abdominal aortic aneurysm

@article{Watton2004AMM,
  title={A mathematical model for the growth of the abdominal aortic aneurysm},
  author={P. Watton and N. Hill and M. Heil},
  journal={Biomechanics and Modeling in Mechanobiology},
  year={2004},
  volume={3},
  pages={98-113}
}
We present the first mathematical model to account for the evolution of the abdominal aortic aneurysm. The artery is modelled as a two-layered, cylindrical membrane using nonlinear elasticity and a physiologically realistic constitutive model. It is subject to a constant systolic pressure and a physiological axial prestretch. The development of the aneurysm is assumed to be a consequence of the remodelling of its material constituents. Microstructural ‘recruitment’ and fibre density variables… Expand
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