Abstract
Modeling the flowing blood in vascular structures is crucial to perform in silico simulations in various clinical contexts. This remains however an emerging and challenging research field, that raises several open issues. In particular, a compromise is generally made between the completeness of the simulation and the complicated architecture of the vasculature: reduced order simulations (lumped parameter models) represent vascular networks, whereas detailed models are devoted to small regions of interest. However, technical improvements enable targeting of compartments of the blood circulation rather than focusing on vascular branched segments. This article aims at investigating the cerebral flow in the entire venous drainage that can be reconstructed from medical imaging.
This research was funded by a grant from the Région Champagne-Ardenne and by Agence Nationale de la Recherche (Grant Agreement ANR-12-MONU-0010). MRI images were provided by the In Vivo Imaging Platform of Université de Strasbourg. Computing resources were provided by the HPC Center of Université de Reims Champagne-Ardenne.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Schaller, B.: Physiology of cerebral venous blood flow: From experimental data in animals to normal function in human. Brain Res. Brain Res. Rev. 46, 243–260 (2004)
Stoquart-Elsankari, S., Lehmann, P., Villette, A., Czosnyka, M., Meyer, M.E., Deramond, H., Balédent, O.: A phase-contrast MRI study of physiologic cerebral venous flow. J. Cereb. Blood F. Met. 29, 1208–1215 (2009)
Formaggia, L., Quarteroni, A., Veneziani, A.: Cardiovascular Mathematics. MS & A, vol. 1. Springer (2009)
Cebral, J.R., Castro, M.A., Appanaboyina, S., Putman, C.M., Millan, D., Frangi, A.F.: Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: Technique and sensitivity. IEEE T. Med. Imaging 24, 457–467 (2005)
Larrabide, I., Kim, M., Augsburger, L., Villa-Uriol, M.C., Rüfenacht, D., Frangi, A.F.: Fast virtual deployment of self-expandable stents: Method and in vitro evaluation for intracranial aneurysmal stenting. Med. Image Anal. 16, 721–730 (2012)
Morales, H.G., Larrabide, I., Geers, A.J., Román, L.S., Blasco, J., Macho, J.M., Frangi, A.F.: A virtual coiling technique for image-based aneurysm models by dynamic path planning. IEEE T. Med. Imaging 32, 119–129 (2013)
Taylor, C.A., Figueroa, C.A.: Patient-specific modeling of cardiovascular mechanics. Annu. Rev. Biomed. Eng. 11, 109–134 (2009)
Ho, H., Mithraratne, K., Hunter, P.: Numerical simulation of blood flow in an anatomically-accurate cerebral venous tree. IEEE T. Med. Imaging 32, 85–91 (2013)
Reymond, P., Merenda, F., Perren, F., Rüfenacht, D., Stergiopulos, N.: Validation of a one-dimensional model of the systemic arterial tree. Am. J. Physiol. 297, 208–222 (2009)
Blanco, P.J., Leiva, J.S., Buscaglia, G.C.: A black-box decomposition approach for coupling heterogeneous components in hemodynamics simulations. Int. J. Num. Meth. Biomed. Eng. 29, 408–427 (2013)
Müller, L.O., Toro, E.F.: A global multiscale mathematical model for the human circulation with emphasis on the venous system. Int. J. Num. Meth. Biomed. Eng. (in press)
Xiao, N., Alastruey, J., Figueroa, C.A.: A systematic comparison between 1-D and 3-D hemodynamics in compliant arterial models. Int. J. Num. Meth. Biomed. Eng. 30, 204–231 (2014)
Camara, O., Mansi, T., Pop, M., Rhode, K., Sermesant, M., Young, A. (eds.): STACOM 2013. LNCS, vol. 8330. Springer, Heidelberg (2014)
Boissonnat, J.D., Chaine, R., Frey, P., Malandain, G., Salmon, S., Saltel, E., Thiriet, M.: From arteriographies to computational flow in saccular aneurisms: The INRIA experience. Med. Image Anal. 9, 133–143 (2005)
Sato, K., Imai, Y., Ishikawa, T., Matsuki, N., Yamaguchi, T.: The importance of parent artery geometry in intra-aneurysmal hemodynamics. Med. Eng. Phys. 30, 774–782 (2008)
Ho, H., Sorrell, K., Peng, L., Yang, Z., Holden, A., Hunter, P.: Hemodynamic analysis for transjugular intrahepatic portosystemic shunt (TIPS) in the liver based on a CT-image. IEEE T. Med. Imaging 32, 92–98 (2013)
Passerini, T., de Luca, M., Formaggia, L., Quarteroni, A., Veneziani, A.: A 3D/1D geometrical multiscale model of cerebral vasculature. J. Eng. Math. 64, 319–330 (2009)
Blanco, P.J., Pivello, M.R., Urquiza, S.A., Feijoo, R.A.: On the potentialities of 3D-1D coupled models in hemodynamics simulations. J. Biomech. 42, 919–930 (2009)
Mut, F., Wright, S., Ascoli, G., Cebral, J.R.: Characterization of the morphometry and hemodynamics of cerebral arterial trees in humans: A preliminary study. In: CMBE, pp. 87–90 (2011)
Miraucourt, M., Salmon, S., Szopos, M., Thiriet, M.: Blood flow simulations in the cerebral venous network. In: CMBE, pp. 187–190 (2013)
Dufour, A., Tankyevych, O., Naegel, B., Talbot, H., Ronse, C., Baruthio, J., Dokládal, P., Passat, N.: Filtering and segmentation of 3D angiographic data: Advances based on mathematical morphology. Med. Image Anal. 17, 147–164 (2013)
Thiriet, M.: Cell and Tissue Organization in the Circulatory and Ventilatory Systems. Springer (2011)
Sforza, D.M., Löhner, R., Putman, C., Cebral, J.R.: Hemodynamic analysis of intracranial aneurysms with moving parent arteries: Basilar tip aneurysms. Int. J. Num. Meth. Biomed. Eng. 26, 1219–1227 (2010)
Thiriet, M.: Biology and Mechanics of Blood Flows, part I: Biology of Blood Flows, part II: Mechanics and Medical Aspects of Blood Flows. Springer (2008)
Pironeau, O.: On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. Numer. Math. 38, 309–332 (1982)
Sheng, Z., Thiriet, M., Hecht, F.: A high-order scheme for the incompressible Navier-Stokes equations with open boundary condition. Int. J. Numer. Meth. Fl. 73, 58–73 (2013)
Guermond, J.L., Shen, J.: A new class of truly consistent splitting schemes for incompressible flows. J. Comput. Phys. 192, 262–276 (2003)
Hecht, F.: New development in Freefem++. J. Num. Math. 20, 251–265 (2012)
Ethier, C.R., Steinman, D.A.: Exact fully 3D Navier-Stokes solutions for benchmarking. Int. J. Numer. Meth. Fl. 19, 369–375 (1994)
Gisolf, J., van Lieshout, J.J., van Heusden, K., Pott, F., Stok, W.J., Karemaker, J.M.: Human cerebral venous outflow pathway depends on posture and central venous pressure. J. Physiol. 560, 317–327 (2004)
Ford, M.D., Stuhne, G.R., Nikolov, H.N., Habets, D.F., Lownie, S.P., Holdsworth, D.W., Steinman, D.A.: Virtual angiography for visualization and validation of computational models of aneurysm hemodynamics. IEEE T. Med. Imaging 24, 1586–1592 (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Miraucourt, O. et al. (2014). 3D CFD in Complex Vascular Systems: A Case Study. In: Bello, F., Cotin, S. (eds) Biomedical Simulation. ISBMS 2014. Lecture Notes in Computer Science, vol 8789. Springer, Cham. https://doi.org/10.1007/978-3-319-12057-7_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-12057-7_10
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-12056-0
Online ISBN: 978-3-319-12057-7
eBook Packages: Computer ScienceComputer Science (R0)