Modeling and simulation of flow in cerebral aneurysms


Mikhal, Iuliia Olegivna (2012) Modeling and simulation of flow in cerebral aneurysms. thesis.

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Abstract:The formation of aneurysms in the human brain is an important
cerebrovascular disorder, which affects a large number of people (estimates
range from 2-6% of the population). A complex-shaped bulge may develop at
a weak spot of the vessel wall. Over time this aneurysm may grow and even
rupture. Diagnostic procedures available these days allow to visualize
cerebral vessels and to detect aneurysms. Mathematical modeling and
computational fluid dynamics can start from this patient-specific medical
imagery and add important information. In fact, by computing flow and forces
that develop in and near a particular cerebral aneurysm, it becomes possible
to understand the intricate patterns of blood flow that develop. This can be
used to support and extend the medical decision-making process.
In this thesis a computational model of blood flow in the human brain was
developed and applied to the simulation of pulsatile flow through a vessel
segment containing a cerebral aneurysm. The simulation strategy was
developed in three main steps: (i) formulation of the numerical method for
incompressible flow and testing on model geometries, (ii) inclusion of realistic
flow domains obtained from medical imagery and simulation of flow at
physiologically realistic conditions and (iii) incorporation of realistic pulsatile
variation of the flow-rate through the affected vessel segment.
We developed a new immersed boundary method and extended this to not
only predict the flow of blood in a vessel geometry, but also quantify the
reliability of those predictions. We formulated a method to obtain practical
bounding solutions, which can be used to indicate outcome-intervals for
pressure and shear stresses. This idea can provide new and reliable insights
for medical experts as part of the treatment of individual patients.
Item Type:Thesis
Science and Technology (TNW)
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