Modeling of artery wall mechanics

Blood flow simulations in arteries are often restricted to “rigid wall” approximations. In this project we propose to investigate different assumptions regarding the compliance of artery walls.
Master

Cardiovascular diseases are a major cause of death in industrialized societies. In particular, the development of aneurysms, which represent a weakness along the vascular system, may rupture and lead to strokes. For the last two decades, efforts in computational fluid dynamic research have led to a better understanding of the hemodynamic environment around aneurysms based on patient-specific models. These simulations are, however, often restricted to “rigid wall” approximations, meaning that the compliance of the walls is neglected. In this project we propose to investigate different assumptions regarding the compliance of artery walls. The scope of the thesis is to test different mechanical constitutive laws (linear elastic vs non-linear hyperelastic) on the characteristic deformation expected in patient-specific arterial wall models.

Goal

  • Develop a mechanical model for patient-specific vascular geometries using the FEniCS framework.
  • Evaluate arterial wall compliance by considering linear elasticity, non-linear hyperelasticity, and the spatial variability of the elastic properties in patient-specific models.

Learning outcome

  • Numerical modelling applied to physiological systems
  • Linear and non-linear continuum mechanics
  • Experience with Finite Element Method modelling

Qualifications

  • Solid Mechanics
  • Differential equations and numerical methods
  • Programming (Python)
    • An interest towards computational physiology

Supervisors

  • Kristian Valen-Sendstad
  • Alban Souche, Postdoctoral Fellow, alban@simula.no, +4748422070