Numerical simulation of endovascular treatment options for cerebral aneurysms
CoRR(2024)
Abstract
Predicting the long-term success of endovascular interventions in the
clinical management of cerebral aneurysms requires detailed insight into the
patient-specific physiological conditions. In this work, we not only propose
numerical representations of endovascular medical devices such as coils, flow
diverters or Woven EndoBridge but also outline numerical models for the
prediction of blood flow patterns in the aneurysm cavity right after a surgical
intervention. Detailed knowledge about the post-surgical state then lays the
basis to assess the chances of a stable occlusion of the aneurysm required for
a long-term treatment success. To this end, we propose mathematical and
mechanical models of endovascular medical devices made out of thin metal wires.
These can then be used for fully resolved flow simulations of the post-surgical
blood flow, which in this work will be performed by means of a Lattice
Boltzmann method applied to the incompressible Navier-Stokes equations and
patient-specific geometries. To probe the suitability of homogenized models, we
also investigate poro-elastic models to represent such medical devices. In
particular, we examine the validity of this modeling approach for flow diverter
placement across the opening of the aneurysm cavity. For both approaches,
physiologically meaningful boundary conditions are provided from reduced-order
models of the vascular system. The present study demonstrates our capabilities
to predict the post-surgical state and lays a solid foundation to tackle the
prediction of thrombus formation and, thus, the aneurysm occlusion in a next
step.
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