Development of Cerebral Aneurysms. A Prediction Model

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Presentation transcript:

Development of Cerebral Aneurysms. A Prediction Model 14 januari 2019 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) 14 januari 2019 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

Blood Vessel Histology

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 with - rate constants of remodeling Initial conditions

Healthy State of an Artery

Transition between States

Remodeling to a Healthy State

Visualization of Instability

Stability of Equilibrium ((e)) States

Analysis of Stability of an Equilibrium State of a Thin-walled cylinder. Equations where

Method satisfy equations on the previous slide Stability condition:

Result