Blood flow in the cerebral venous system: modeling and simulation

References

• Boissonnat JD, Chaine R, Frey P, Malandain G, Salmon S, Saltel E, Thiriet M. 2005. From arteriographies to computational flow in saccular aneurisms: the INRIA experience. Med Image Anal. 9:133–143.
   PubMed Web of Science ®Google Scholar
• Caiazzo A, Montecinos G, Müller LO, Toro EF, Haacke EM. 2015. Computational haemodynamics in stenotic internal jugular veins. J Math Biol. 70:745–772.
   PubMed Web of Science ®Google Scholar
• Cebral JR, Castro MA, Appanaboyina S, Putman CM, Millan D, Frangi AF. 2005. Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: technique and sensitivity. IEEE Trans Med Imag. 24:457–467.
   PubMed Web of Science ®Google Scholar
• Chabannes V, Ismail M, Prud’Homme C, Szopos M. 2015. Hemodynamic simulations in the cerebral venous network: a study on the influence of different modeling assumptions. J Coupled Syst Multiscale Dyn. 3:23–37.
   Web of Science ®Google Scholar
• Corsini C, Baker C, Kung E, Schievano S, Arbia G, Baretta A, Dorfman A. 2014. An integrated approach to patient-specific predictive modeling for single ventricle heart palliation. Comput Methods Biomech Biomed Eng. 17:1572–1589.
   PubMed Web of Science ®Google Scholar
• Ford MD, Stuhne GR, Nikolov HN, Habets DF, Lownie SP, Holdsworth DW, Steinman DA. 2005. Virtual angiography for visualization and validation of computational models of aneurysm hemodynamics. IEEE Trans Med Imaging. 24:1586–1592.
   PubMed Web of Science ®Google Scholar
• Formaggia L, Perktold K, Quarteroni A. 2009. Basic mathematical models and motivations. In: Formaggia L, Quarteroni A, Veneziani A, editors. Cardiovascular mathematics. Modeling and simulation of the circulatory system, Vol. 1. Milan: Springer-Verlag Italia.
   Google Scholar
• Fortin A, Durand E, Salmon S. 2014. Extension of an MRI simulator software for phase contrast angiography experiments. In: International Symposium on Biomedical Simulation (ISBMS), Lecture Notes in Computer Science. Switzerland: Springer International Publishing; p. 150–154.
   Google Scholar
• Gadda G, Taibi A, Sisini F, Gambaccini M, Zamboni P, Ursino M. 2015. A new hemodynamic model for the study of cerebral venous outflow. Am J Physiol Heart Circ Physiol. 308:H217–H231.
   Google Scholar
• Gambaruto A, Janela J, Moura A, Sequeira A. 2011. Sensitivity of haemodynamics in patient specific cerebral aneurysms to vascular geometry and blood rheology. Math Biosci Eng. 8:409–423.
   PubMed Web of Science ®Google Scholar
• Gideon P, Thomsen C, Gjerris F, Sørensen PS, Ståhlberg F, Henriksen O. 1996. Measurement of blood flow in the superior sagittal sinus in healthy volunteers, and in patients with normal pressure hydrocephalus and idiopathic intracranial hypertension with phase-contrast cine MR imaging. Acta Radiol. 37:171–176.
   PubMed Web of Science ®Google Scholar
• Girault V, Raviart PA. 1986. Finite element methods for Navier--Stokes equations. Berlin: Springer-Verlag.
   Google Scholar
• Gisolf J, van Lieshout JJ, van Heusden K, Pott F, Stok WJ, Karemaker JM. 2004. Human cerebral venous outflow pathway depends on posture and central venous pressure. J Physiol. 560:317–327.
   PubMed Web of Science ®Google Scholar
• Grinberg L, Cheever E, Anor T, Madsen JR, Karniadakis GE. 2011. Modeling blood flow circulation in intracranial arterial networks: a comparative 3D/1D simulation study. Ann Biomed Eng. 39:297–309.
   PubMed Web of Science ®Google Scholar
• Hecht F. 2012. New development in freefem++. J Numer Math. 20:251–265.
   Web of Science ®Google Scholar
• Ho H, Mithraratne K, Hunter P. 2013. Numerical simulation of blood flow in an anatomically-accurate cerebral venous tree. IEEE Trans Med Imaging. 32:85–91.
   PubMed Web of Science ®Google Scholar
• Jurczuk K, Kretowski M, Eliat P-A, Bellanger J-J, Saint-Jalmes H, Bézy-Wendling J. 2012. A new approach in combined modeling of MRI and blood flow: a preliminary study. In: International Symposium on Biomedical Imaging: p. 812–815.
   Google Scholar
• Kiliç T, Akakin A. 2008. Anatomy of cerebral veins and sinuses. Front Neurol Neurosci. 23:4–15.
   PubMedGoogle Scholar
• Miraucourt O, Garnotel S. n.d. Numerical tour of fluid dynamics. [cited 2016-06-30]; Available from: http://numtourcfd.univ-reims.fr
   Google Scholar
• Miraucourt O, Génevaux O, Szopos M, Thiriet M, Talbot H, Salmon S, Passat N. 2014. 3D CFD in complex vascular systems: a case study. International Symposium on Biomedical Simulation (ISBMS), Lecture Notes in Computer Science. Springer; p. 86–94.
   Google Scholar
• Miyazaki M, Lee VS. 2008. Nonenhanced MR angiography. Radiology. 248:20–43.
   PubMed Web of Science ®Google Scholar
• Morales HG, Larrabide I, Geers AJ, San Román L, Blasco J, Macho JM, Frangi AF. 2013. A virtual coiling technique for image-based aneurysm models by dynamic path planning. IEEE Trans Med Imaging. 32:119–129.
   PubMed Web of Science ®Google Scholar
• Müller LO, Toro EF. 2014a. A global multiscale mathematical model for the human circulation with emphasis on the venous system. Int J Numer Methods Biomed Eng. 30:681–725.
   PubMed Web of Science ®Google Scholar
• Müller LO, Toro EF. 2014b. Enhanced global mathematical model for studying cerebral venous blood flow. J Biomech. 47:3361–3372.
   PubMed Web of Science ®Google Scholar
• Ogoh S, Sato K, Fisher JP, Seifert T, Overgaard M, Secher NH. 2011. The effect of phenylephrine on arterial and venous cerebral blood flow in healthy subjects. Clin Physiol Funct Imaging. 31:445–451.
   PubMed Web of Science ®Google Scholar
• Ozsarlak O, Van Goethem JW, Maes M, Parizel PM. 2004. MR angiography of the intracranial vessels: technical aspects and clinical applications. Neuroradiology. 46:955–972.
   PubMed Web of Science ®Google Scholar
• Passerini T, De Luca M, Formaggia L, Quarteroni A, Veneziani A. 2009. A 3D/1D geometrical multiscale model of cerebral vasculature. J Eng Math. 64:319–330.
   Web of Science ®Google Scholar
• Pironneau O. 1982. On the transport-diffusion algorithm and its applications to the Navier--Stokes equations. Numer Math. 38:309–332.
   Web of Science ®Google Scholar
• Retarekar R, Ramachandran M, Berkowitz B, Harbaugh RE, Hasan D, Rosenwasser RH, Ogilvy CS, Raghavan ML. 2015. Stratification of a population of intracranial aneurysms using blood flow metrics. Comput Methods Biomech Biomed Eng. 18:1072–1082.
   PubMed Web of Science ®Google Scholar
• Reymond P, Merenda F, Perren F, Rüfenacht D, Stergiopulos N. 2009. Validation of a one-dimensional model of the systemic arterial tree. Am J Physiol Heart Circ Physiol. 297:208–222.
   PubMed Web of Science ®Google Scholar
• Schaller B. 2004. Physiology of cerebral venous blood flow: from experimental data in animals to normal function in humans. Brain Res Rev. 46:243–260.
   PubMedGoogle Scholar
• Sforza DM, Löhner R, Putman C, Cebral JR. 2010. Hemodynamic analysis of intracranial aneurysms with moving parent arteries: basilar tip aneurysms. Int J Numer Methods Biomed Eng. 26:1219–1227.
   PubMed Web of Science ®Google Scholar
• Shojima M, Morita A, Kimura T, Oshima M, Kin T, Saito N. 2014. Computational fluid dynamic simulation of a giant basilar tip aneurysm with eventual rupture after hunterian ligation. World Neurosurg. 82:535.e5–535.e9.
   Google Scholar
• Stoquart-Elsankari S, Lehmann P, Villette A, Czosnyka M, Meyer ME, Deramond H, Balédent O. 2009. A phase-contrast MRI study of physiologic cerebral venous flow. J Cereb Blood Flow Metab. 29:1208–1215.
   PubMed Web of Science ®Google Scholar
• Thiriet M. 2008. Biology and mechanics of blood flows, part I: biology of blood flows, part II: mechanics and medical aspects of blood flows, CRM series in mathematical physics. New York: Springer.
   Google Scholar
• Thiriet M. 2011. Cell and tissue organization in the circulatory and ventilatory systems. Biomathematical and biomechanical modeling of the circulatory and ventilatory systems Vol. 1, New York: Springer.
   Google Scholar
• Ursino M, Lodi CA. 1997. A simple mathematical model of the interaction between intracranial pressure and cerebral hemodynamics. J Appl Physiol. 82:1256–1269.
   PubMed Web of Science ®Google Scholar
• Wang S, Ding G, Zhang Y, Yang X. 2011. Computational haemodynamics in two idealised cerebral wide-necked aneurysms after stent placement. Comput Methods Biomech Biomed Eng. 14:927–937.
   PubMed Web of Science ®Google Scholar
• Xiao N, Alastruey J, Figueroa CA. 2014. A systematic comparison between 1-D and 3-D hemodynamics in compliant arterial models. Int J Numer Methods Biomed. Eng. 30:204–231.
   PubMed Web of Science ®Google Scholar
• Xiao N, Humphrey JD, Figueroa CA. 2013. Multi-scale computational model of three-dimensional hemodynamics within a deformable full-body arterial network. J Comput Phys. 244:22–40.
   PubMed Web of Science ®Google Scholar