The intracranial pressure (ICP) is an important factor in the proper functioning of the brain. This pressure is needed to be constantly regulated, since an abnormal elevation can be quite dangerous. In this article, we develop some numerical tools to better understand the regulation of this pressure. In particular, as it is impossible to measure the ICP in a non-invasive way, these numerical tools can allow to estimate values of the ICP. In addition, we propose to compute the dynamics of the cerebrospinal fluid (CSF), taking into account the connected environment of the skull and the arterio-venous flows. A computational fluid dynamics model in two dimensions is developed for the cerebrospinal fluid system, with Windkessel type boundary conditions. This model shows that the dynamics can impact the distribution of the CSF in the different compartments of the cerebrospinal system.
DOI : 10.5802/msia.11
Keywords: Intracranial pressure, Stokes equations, Finite element method, Windkessel models.
Garnotel, Simon 1 ; Salmon, Stéphanie 2 ; Balédent, Olivier 3
CC-BY 4.0
@article{MSIA_2017__8_1_9_0,
author = {Garnotel, Simon and Salmon, St\'ephanie and Bal\'edent, Olivier},
title = {Numerical {Modeling} of the {Intracranial} {Pressure} using {Windkessel} {Models}},
journal = {MathematicS In Action},
pages = {9--25},
year = {2017},
publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
volume = {8},
number = {1},
doi = {10.5802/msia.11},
zbl = {1405.76073},
mrnumber = {3758869},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/msia.11/}
}
TY - JOUR AU - Garnotel, Simon AU - Salmon, Stéphanie AU - Balédent, Olivier TI - Numerical Modeling of the Intracranial Pressure using Windkessel Models JO - MathematicS In Action PY - 2017 SP - 9 EP - 25 VL - 8 IS - 1 PB - Société de Mathématiques Appliquées et Industrielles UR - http://geodesic.mathdoc.fr/articles/10.5802/msia.11/ DO - 10.5802/msia.11 LA - en ID - MSIA_2017__8_1_9_0 ER -
%0 Journal Article %A Garnotel, Simon %A Salmon, Stéphanie %A Balédent, Olivier %T Numerical Modeling of the Intracranial Pressure using Windkessel Models %J MathematicS In Action %D 2017 %P 9-25 %V 8 %N 1 %I Société de Mathématiques Appliquées et Industrielles %U http://geodesic.mathdoc.fr/articles/10.5802/msia.11/ %R 10.5802/msia.11 %G en %F MSIA_2017__8_1_9_0
Garnotel, Simon; Salmon, Stéphanie; Balédent, Olivier. Numerical Modeling of the Intracranial Pressure using Windkessel Models. MathematicS In Action, Tome 8 (2017) no. 1, pp. 9-25. doi: 10.5802/msia.11
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