Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Evaluating the Impact of Domain Boundaries on Hemodynamics in Intracranial Aneurysms within the Circle of Willis

Pablo Jeken Rico
ORCID logo ,
Aurèle Goetz
,
Philippe Meliga
,
Aurélien Larcher
,
Yigit Ozpeynirci
,
Elie Hachem
*
Version 1 : Received: 17 October 2023 / Approved: 24 October 2023 / Online: 24 October 2023 (17:32:53 CEST)

A peer-reviewed article of this Preprint also exists.

Jeken-Rico, P.; Goetz, A.; Meliga, P.; Larcher, A.; Özpeynirci, Y.; Hachem, E. Evaluating the Impact of Domain Boundaries on Hemodynamics in Intracranial Aneurysms within the Circle of Willis. Fluids 2024, 9, 1. Jeken-Rico, P.; Goetz, A.; Meliga, P.; Larcher, A.; Özpeynirci, Y.; Hachem, E. Evaluating the Impact of Domain Boundaries on Hemodynamics in Intracranial Aneurysms within the Circle of Willis. Fluids 2024, 9, 1.

Abstract

Haemodynamic simulations are increasingly used to study vascular diseases like Intracranial Aneurysms (IA) and to further develope treatment options. However, due to limited data, some aspects must rely on heuristics, especially at the simulation’s distal ends. In literature, Murray’s Law is often used to model the outflow split based on vessel cross-section area, but this poses challenges for the communicating arteries in the Circle of Willis (CoW). In this study, we contribute by assessing the impact of Murray’s Law in patient-specific geometries featuring IA at the posterior communication. We simulate different domain extensions, representing common modelling choices. We establish Full CoW simulations as a baseline to evaluate the effect of these modelling assumptions on haemodynamic indicators, focusing on IA growth and rupture-related factors like Wall Shear Stress (WSS) and Oscillatory Shear Index (OSI). Our findings reveal qualitative alterations in haemodynamics when not modeling posterior communication. Comparisons between computing the anterior circulation and computing the whole Circle of Willis reveal quantitative changes in WSS may reach up to 80%, highlighting the significance of modelling choices in assessing IA risks and treatment strategies.

Keywords

Computational haemodynamics; Intracranial aneurysms; Circle of Willis; Wall shear stress; Boundary conditions

Subject

Physical Sciences, Biophysics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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