| Issue |
Math. Model. Nat. Phenom.
Volume 20, 2025
|
|
|---|---|---|
| Article Number | 11 | |
| Number of page(s) | 22 | |
| Section | Mathematical physiology and medicine | |
| DOI | https://doi.org/10.1051/mmnp/2025002 | |
| Published online | 25 April 2025 | |
Accurate Cerebral Venous Blood Flow Simulations Compared to Real Data
1
Centre for Analysis, Scientific Computing and Applications, TU Eindhoven,
Eindhoven, The Netherlands
2
Laboratoire de Mathématiques de Reims, CNRS UMR 9008, URCA,
Reims, France
3
CHIMERE, CNRS UR 7516, CHU
Amiens, France
* Corresponding author: p.m.mollo@tue.nl
Received:
22
April
2024
Accepted:
9
January
2025
In this work, we develop models of cerebral venous blood flows in realistic 3D geometries and run accurate numerical 3D simulations leveraging real data. These data come from Magnetic Resonance Imaging measures and provide both morphological and physiological information on the same subject. It allows to calibrate a subject specific simulation and improve its reliability. We present the complete pipeline going from data pre-processing to the integration in the simulation framework. The 3D Finite Element simulations in the main cerebral venous vessels are coupled with Windkessel reduced models, whose parameters are chosen according to the data, to take into account the neglected network. First results are discussed and compared with literature data, opening the way to obtain reliable information difficult or even impossible to obtain in vivo in a non-invasive way. All codes are in-house openly developed ones to ensure reproducibility.
Mathematics Subject Classification: 65N30 / 76D05
Key words: Computational fluid dynamic / cerebral venous blood flow / Navier-Stokes equations / fluid mechanics / finite element method / blood flows / Windkessel models
© The authors. Published by EDP Sciences, 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.