Abstract
The aim of this work was to determine whether or not Newtonian rheology assumption in image-based patient-specific computational fluid dynamics (CFD) cerebrovascular models harboring cerebral aneurysms may affect the hemodynamics characteristics, which have been previously associated with aneurysm progression and rupture. Ten patients with cerebral aneurysms with lobulations were considered. CFD models were reconstructed from 3DRA and 4DCTA images by means of region growing, deformable models, and an advancing front technique. Patient-specific FEM blood flow simulations were performed under Newtonian and Casson rheological models. Wall shear stress (WSS) maps were created and distributions were compared at the end diastole. Regions of lower WSS (lobulation) and higher WSS (neck) were identified. WSS changes in time were analyzed. Maximum, minimum and time-averaged values were calculated and statistically compared. WSS characterization remained unchanged. At high WSS regions, Casson rheology systematically produced higher WSS minimum, maximum and time-averaged values. However, those differences were not statistically significant. At low WSS regions, when averaging over all cases, the Casson model produced higher stresses, although in some cases the Newtonian model did. However, those differences were not significant either. There is no evidence that Newtonian model overestimates WSS. Differences are not statistically significant.
Similar content being viewed by others
References
Antiga L, Piccinelli M, Botti L, Ene-Iordache B, Remuzzi A, Steinman DA (2008) An image-based modeling framework for patient-specific computational hemodynamics. Med Biol Eng Comput 46(11):1097–1112
Cárdenes R, Larrabide I, Frangi AF, Román LS (2013) Performance assessment of isolation methods for geometrical cerebral aneurysm analysis. Med Biol Eng Comput 51(3):343–352
Castro MA (2013) Understanding the role of hemodynamics on the initiation, progression, rupture, and treatment outcome of cerebral aneurysm from medical image-based computational studies. ISRN Radiol 2013:1–17
Castro MA, Putman CM, Cebral JR (2006) Computational fluid dynamics modeling of intracranial aneurysms: effects of parent artery segmentation on intraaneurysmal hemodynamics, Am J Neuroradiol 27:1703–1709. doi:10.5402/2013/602707
Castro MA, Putman CM, Cebral JR (2008) Computational hemodynamics of cerebral aneurysms: assessing the risk of rupture from hemodynamic patterns. VDM Verlag, Germany
Castro MA, Putman CM, Cebral JR (2009) Hemodynamic patterns of anterior communicating artery Aneurysms: a possible association with rupture. Am J Neuroradiol 30(2):297–302
Castro MA, Ahumada Olivares MC, Putman C, Cebral JR (2013) Hemodynamic differences in intracranial aneurysm blebs due to blood rheology. J Phys Conf Ser 477(012001):1–10. doi:10.1088/1742-6596/477/1/012001
Cebral JR, Castro MA, Soto O et al (2003) Blood flow models of the circle of Willis from magnetic resonance data. J Eng Math 47(3–4):369–386
Cebral JR, Castro MA, Appanaboyina S et al (2005) Efficient pipeline for image-based patient-specific analysis of cerebral aneurysms hemodynamics: technique and sensitivity. IEEE Trans Med Imaging 24(4):457–467
Cebral JR, Pergolizzi RS, Putman CM (2007) Computational fluid dynamics modeling of intracranial aneurysms: qualitative comparison with cerebral angiography. Acad Radiol 14:804–813
Cebral JR, Castro MA, Putman CM et al (2008) Flow–area relationship in internal carotid and vertebral arteries. Phys Meas 29(10):585–594
Cebral JR, Putman CM, Alley MT, Hope T, Bammer R, Calamante F (2009) Hemodynamics in normal cerebral arteries: qualitative comparison of 4D phase-contrast magnetic resonance and image-based computational fluid dynamics. J Eng Math 64(4):367–378
Cebral JR, Sheridan M, Putman CM (2010) Hemodynamics and bleb formation in intracranial aneurysms. Am J Neuroradiol 31:304–310
Cebral JR, Mut F, Weir J, Putman CM (2011) Quantitative characterization of the hemodynamic environment in ruptured and unruptured brain aneurysms. Am J Neuroradiol 32:145–151
Cebral JR, Mut F, Weir J et al (2011) Association of hemodynamic characteristics and cerebral aneurysm rupture. Am J Neuroradiol 32:264–270
Chang HH, Duckwiler GR, Valentine DJ, Chu WC (2009) Computer-assisted extraction of intracranial aneurysms on 3D rotational angiograms for computational fluid dynamics modeling. Med Phys 36(12):5612–5621
Chien A, Tateshima S, Castro MA, Sayre J, Cebral JR, Viñuela F (2008) Patient-specific computational flow analysis of brain aneurysms at a single location: comparison of hemodynamic characteristics in small aneurysms. Med Biol Eng Comput 46:1113–1120
Crompton M (1996) Mechanisms of growth and rupture in cerebral berry aneurysms. Br Med J 1:1138–1142
Evjua O, Valen-Sendstada K, Mardal K-A (2013) A study of wall shear stress in 12 aneurysms with respect to different viscosity models and flow conditions. J Biomech 46:2802–2808. doi:10.1016/j.jbiomech.2013.09.004 (Epub 2013 Sep 16)
Fisher C, Stroud Rossmann J (2009) Effects of non-Newtonian behavior on hemodynamics of cerebral aneurysms. J Biomech Eng 131(9):1–9. doi:10.1115/1.3148470
Hernández M, Frangi A (2007) Non-parametric geodesic active regions: method and evaluation for cerebral aneurysms segmentation in 3DRA and CTA. Med Image Anal 11:142–224
Jou L-D, Mawad ME (2011) Timing and size of flow impingement in a giant intracranial aneurysm at the internal carotid artery. Med Biol Eng Comput 49(8):891–899
Jou LD, Lee DH, Morsi H et al (2008) Wall shear stress on ruptured and unruptured intracranial aneurysms at the internal carotid artery. Am J Neuroradiol 29:1761–1767
Khanafer KM, Gadhoke P, Berguer R et al (2006) Modeling pulsatile flow in aortic aneurysms: effect on non-Newtonian properties of blood. Biorheology 43:661–679
Kulcsar Z, Ugron A, Marosfo M et al (2008) Hemodynamics of cerebral aneurysm initiation: the role of wall shear stress and spatial wall shear stress gradient. Am J Neuroradiol 32(3):587–594. doi:10.3174/ajnr.A2339
Löhner R (1996) Extensions and improvements of the advancing front grid generation technique. Commun Numer Method Eng 12:683–702. doi:10.1002/(SICI)1099-0887(199610)12:10<683:AID-CNM983>3.0.CO;2-1
Löhner R (1996) Regridding surface triangulations. J Comput Phys 126:1–10
Löhner R (1997) Automatic unstructured grid generators. Finite Elem Anal Des 25:111–134
Low M, Perktold K, Raunig R (1993) Hemodynamics in rigid and distensible saccular aneurysms: a numerical study of pulsatile flow characteristics. Biorheology 30:287–298
Mazumdar JN (1992) Biofluid mechanics. World Scientific, Singapore
Nakatani H, Hashimoto N, Kang H et al (1991) Cerebral blood flow patterns at major vessel bifurcations and aneurysms in rats. J Neurosurg 74:258–262
Rayz VL, Boussel L, Lawton MT et al (2011) Numerical modeling of the flow in intracranial aneurysms: prediction of regions prone to thrombus formation. Ann Biomed Eng 36(11):1793–1804
Sherman TF (1981) On connecting large vessels to small. The meaning of Murray’s law. J Gen Physiol 78:431–453
Shojima M, Oshima M, Takaqi K et al (2004) Magnitude and role of wall shear stress on cerebral aneurysm: computational fluid dynamic study of 20 middle cerebral aneurysms. Stroke 35:2500–2505
Shojima M, Nemoto S, Morita A et al (2010) Role of shear stress in the blister formation of cerebral aneurysms. Neurosurgery 67(5):1268–1275
Steinman DA, Milner JS, Norley CJ et al (2003) Image-based computational simulation of flow dynamics in a giant intracranial aneurysm. Am J Neuroradiol 24(4):559–566
Steinman DA, Milner JS, Norley CJ et al (2003) Image-based computational simulation of flow dynamics in a giant intracranial aneurysm. Am J Neuroradiol 24:559–566
Taylor CA, Hughes TJR, Zarins CK (1998) Finite element modeling of blood flow in arteries. Comput Meth Appl Mech Eng 158:155–196
Valencia AA, Guzmán AM, Finol EA et al (2006) Blood flow dynamics in saccular aneurysm models of the basilar artery. J Biomech Eng 128(4):516–526
Womersley JR (1955) Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J Physiol 127:553–563
Xiang J, Tremmel M, Kolega J et al (2011) Newtonian viscosity model could overestimate wall shear stress in intracranial aneurysm domes and underestimated rupture risk. J Neurointerv Surg 4(5):351–357
Yim P, Vasbinder GB, Ho VB et al (2003) Isosurfaces as deformable models for magnetic resonance angiography. IEEE Trans Med Imaging 22(7):875–881
Yim P, Demarco KJ, Castro MA, Cebral JR (2005) Characterization of shear stress on the wall of the carotid artery using magnetic resonance imaging and computational fluid dynamics. Stud Health Technol Inform 113:412–442
Acknowledgments
Marcelo Castro wants to acknowledge CONICET (Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina) for financial support. This work was partially supported by research Grant PICT #2012-279 ANPCyT (Agencia Nacional de Promoción Científica y Tecnológica, Argentina).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Castro, M.A., Olivares, M.C.A., Putman, C.M. et al. Unsteady wall shear stress analysis from image-based computational fluid dynamic aneurysm models under Newtonian and Casson rheological models. Med Biol Eng Comput 52, 827–839 (2014). https://doi.org/10.1007/s11517-014-1189-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11517-014-1189-z