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Development of Cerebral Aneurysms. A Prediction Model. Ihor Machyshyn. Supervisors. Dr. Ir. P.M.J. Rongen (Philips Medical Systems) Dr. Ir. A.A.F. van de Ven (TU/e, W&I) Dr. Ir. S.J.L. van Eijndhoven (TU/e, W&I) P rof. D r. I r. F.N. van de Vosse (TU/e, BMT)
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Development of Cerebral Aneurysms. A Prediction Model Ihor Machyshyn Supervisors • Dr. Ir. P.M.J. Rongen (Philips Medical Systems) • Dr. Ir. A.A.F. van de Ven (TU/e, W&I) • Dr. Ir. S.J.L. van Eijndhoven (TU/e, W&I) • Prof. Dr. Ir. F.N. van de Vosse (TU/e, BMT) • Dr. Ir. P.H.M. Bovendeerd (TU/e, BMT)
3D Rotational Angiography (3D-RA) Combined X-ray images into a 3D view safe? dangerous?
Approaches to assess risk of rupture • Current clinical practice (based on geometry) • Mechanical analysis: • Hemodynamical approach • Vessel wall mechanics • Stress and strain estimation • Adaptation of the tissue • Rupture criterion
Goal of the project • Develop a model that uses realistic description of aneurysmal tissue • Study growth of cerebral aneurysms
Model Variables Collagen - collagen stretch - recruitment - collagen thickness - attachment collagen stretch Elastin - elastin (tissue) stretch
Equations Governing Mechanics • Constitutive equation: with • Equation of equilibrium: • Incompressibility equation:
Evolution Equations of Remodeling • Equations of remodeling: with - rate constants of remodeling • Initial conditions
Analysis of Stability of an Equilibrium State of a Thin-walled cylinder. Equations where
Method satisfy equations on the previous slide Stability condition: