1. 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)

2. 3D Rotational Angiography (3D-RA)
14 januari 2019
3D Rotational Angiography (3D-RA)
Combined X-ray images into a 3D view
safe?
dangerous?

3. 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

4. Goal of the project
Develop a model that uses realistic description of aneurysmal tissue
Study growth of cerebral aneurysms

5. Blood Vessel Histology

6. Model Variables Collagen - collagen stretch - recruitment
- collagen thickness
- attachment collagen stretch
Elastin
- elastin (tissue) stretch

7. Equations Governing Mechanics
Constitutive equation:
with
Equation of equilibrium:
Incompressibility equation:

8. Evolution Equations of Remodeling
with
- rate constants of remodeling
Initial conditions

9. Healthy State of an Artery

10. Transition between States

11. Remodeling to a Healthy State

12. Visualization of Instability

13. Stability of Equilibrium ((e)) States

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

15. Method
satisfy equations on the previous slide
Stability condition:

16. Result