Development of cerebral aneurysms a prediction model
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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

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
3D Rotational Angiography (3D-RA)

Combined X-ray images into a 3D view

safe?

dangerous?


Approaches to assess risk of rupture
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
Goal of the project

  • Develop a model that uses realistic description of aneurysmal tissue

  • Study growth of cerebral aneurysms



Model
Model

Variables

Collagen

- collagen stretch

- recruitment

- collagen thickness

- attachment collagen stretch

Elastin

- elastin (tissue) stretch


Equations governing mechanics
Equations Governing Mechanics

  • Constitutive equation:

with

  • Equation of equilibrium:

  • Incompressibility equation:


Evolution equations of remodeling
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
Analysis of Stability of an Equilibrium State of a Thin-walled cylinder. Equations

where


Method
Method Thin-walled cylinder. Equations

satisfy equations on the previous slide

Stability condition:


Result
Result Thin-walled cylinder. Equations


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