A mathematical model on the rupture of intracranial aneurysms

We constructed and discussed a mathematical model on the rupture of intracranial aneurysms using the concept of daughter aneurysm, a bleb growing out of the weaker part of the aneurysm wall. The rupture risk was found to be a function of the geometry of the daughter aneurysm as well as the radius of the main aneurysm. Our model is in good agreement with the simulation by Steiger (1990). It was suggested that rupture occurs when the stress of the daughter aneurysm reaches that of the parent aneurysm. We also modeled the dynamic development of the daughter aneurysm for various orifice sizes and showed that rupture index first decreases, followed by continuous increase. Rupture occurs sooner for larger daughter aneurysm orifices.