Dobroserdova, T. K.; Cherevko, A. A.; Sakharova, E. A. Blood flows in vascular networks: numerical results vs experimental data. (English) Zbl 1401.92051 Mondaini, Rubem P. (ed.), Trends in biomathematics: modeling, optimization and computational problems. Selected works from the 17th BIOMAT consortium lectures, Moscow, Russia, October 30 – November 3, 2017. Cham: Springer; Rio de Janeiro: BIOMAT Consortium, International Institute for Interdisciplinary Sciences (ISBN 978-3-319-91091-8/hbk; 978-3-319-91092-5/ebook). 335-346 (2018). MSC: 92C35 35Q92 PDF BibTeX XML Cite \textit{T. K. Dobroserdova} et al., in: Trends in biomathematics: modeling, optimization and computational problems. Selected works from the 17th BIOMAT consortium lectures, Moscow, Russia, October 30 -- November 3, 2017. Cham: Springer; Rio de Janeiro: BIOMAT Consortium, International Institute for Interdisciplinary Sciences. 335--346 (2018; Zbl 1401.92051) Full Text: DOI OpenURL
Rajashekhar, C.; Manjunatha, G.; Fabian, B. Finite element simulation of blood flow through an artery bifurcation: a mathematical model. (English) Zbl 07174157 Malays. J. Math. Sci. 11, No. 2, 165-179 (2017). MSC: 92-XX 76-XX PDF BibTeX XML Cite \textit{C. Rajashekhar} et al., Malays. J. Math. Sci. 11, No. 2, 165--179 (2017; Zbl 07174157) Full Text: Link OpenURL
Gharahi, Hamidreza; Zambrano, Byron A.; Zhu, David C.; DeMarco, J. Kevin; Baek, Seungik Computational fluid dynamic simulation of human carotid artery bifurcation based on anatomy and volumetric blood flow rate measured with magnetic resonance imaging. (English) Zbl 1348.76200 Int. J. Adv. Eng. Sci. Appl. Math. 8, No. 1, 46-60 (2016). MSC: 76Z05 92C35 76M25 92-08 92C55 PDF BibTeX XML Cite \textit{H. Gharahi} et al., Int. J. Adv. Eng. Sci. Appl. Math. 8, No. 1, 46--60 (2016; Zbl 1348.76200) Full Text: DOI Link OpenURL
Kang, Xiuying Assessment of the pulsatile wall shear stress in the stenosed and recanalized carotid bifurcations by the lattice Boltzmann method. (English) Zbl 1391.76617 Comput. Fluids 97, 156-163 (2014). MSC: 76M28 76Z05 74F10 92C35 PDF BibTeX XML Cite \textit{X. Kang}, Comput. Fluids 97, 156--163 (2014; Zbl 1391.76617) Full Text: DOI OpenURL
Kashefi, A.; Mahdinia, M.; Firoozabadi, B.; Amirkhosravi, M. Multidimensional modeling of the stenosed carotid artery: a novel CAD approach accompanied by an extensive lumped model. (English) Zbl 1346.76220 Acta Mech. Sin. 30, No. 2, 259-273 (2014). MSC: 76Z05 92C35 PDF BibTeX XML Cite \textit{A. Kashefi} et al., Acta Mech. Sin. 30, No. 2, 259--273 (2014; Zbl 1346.76220) Full Text: DOI OpenURL
Yao, Jianyao; Liu, G. R. A matrix-form GSM-CFD solver for incompressible fluids and its application to hemodynamics. (English) Zbl 1311.76160 Comput. Mech. 54, No. 4, 999-1012 (2014). MSC: 76Z05 92C35 PDF BibTeX XML Cite \textit{J. Yao} and \textit{G. R. Liu}, Comput. Mech. 54, No. 4, 999--1012 (2014; Zbl 1311.76160) Full Text: DOI OpenURL
Massai, Diana; Soloperto, Giulia; Gallo, Diego; Xu, Xiao Yun; Morbiducci, Umberto Shear-induced platelet activation and its relationship with blood flow topology in a numerical model of stenosed carotid bifurcation. (English) Zbl 1446.76200 Eur. J. Mech., B, Fluids 35, 92-101 (2012). MSC: 76Z05 76M10 92C35 PDF BibTeX XML Cite \textit{D. Massai} et al., Eur. J. Mech., B, Fluids 35, 92--101 (2012; Zbl 1446.76200) Full Text: DOI OpenURL
Sazonov, Igor; Yeo, Si Yong; Bevan, Rhodri L. T.; Xie, Xianghua; Van Loon, Raoul; Nithiarasu, Perumal Modelling pipeline for subject-specific arterial blood flow - a review. (English) Zbl 1241.92018 Int. J. Numer. Methods Biomed. Eng. 27, No. 12, 1868-1910 (2011). MSC: 92C35 92C50 92C55 65C20 35Q92 PDF BibTeX XML Cite \textit{I. Sazonov} et al., Int. J. Numer. Methods Biomed. Eng. 27, No. 12, 1868--1910 (2011; Zbl 1241.92018) Full Text: DOI OpenURL
Bevan, R. L. T.; Nithiarasu, P.; Van Loon, R.; Sazonov, I.; Luckraz, H.; Garnham, A. Application of a locally conservative Galerkin (LCG) method for modelling blood flow through a patient-specific carotid bifurcation. (English) Zbl 1203.92034 Int. J. Numer. Methods Fluids 64, No. 10-12, 1274-1295 (2010). MSC: 92C50 92C35 76M10 76D05 PDF BibTeX XML Cite \textit{R. L. T. Bevan} et al., Int. J. Numer. Methods Fluids 64, No. 10--12, 1274--1295 (2010; Zbl 1203.92034) Full Text: DOI OpenURL
Degroote, Joris; Swillens, Abigail; Bruggeman, Peter; Haelterman, Robby; Segers, Patrick; Vierendeels, Jan Simulation of fluid-structure interaction with the interface artificial compressibility method. (English) Zbl 1406.74193 Int. J. Numer. Methods Biomed. Eng. 26, No. 3-4, 276-289 (2010). MSC: 74F10 65M06 65M22 PDF BibTeX XML Cite \textit{J. Degroote} et al., Int. J. Numer. Methods Biomed. Eng. 26, No. 3--4, 276--289 (2010; Zbl 1406.74193) Full Text: DOI Link OpenURL
Fan, Yubo; Jiang, Wentao; Zou, Yuanwen; Li, Jinchuan; Chen, Junkai; Deng, Xiaoyan Numerical simulation of pulsatile non-Newtonian flow in the carotid artery bifurcation. (English) Zbl 1270.76092 Acta Mech. Sin. 25, No. 2, 249-255 (2009). MSC: 76Z05 76A05 76M12 92C35 PDF BibTeX XML Cite \textit{Y. Fan} et al., Acta Mech. Sin. 25, No. 2, 249--255 (2009; Zbl 1270.76092) Full Text: DOI OpenURL
Hariton, I.; deBotton, G.; Gasser, T. C.; Holzapfel, G. A. Stress-modulated collagen fiber remodeling in a human carotid bifurcation. (English) Zbl 1451.92047 J. Theor. Biol. 248, No. 3, 460-470 (2007). MSC: 92C10 PDF BibTeX XML Cite \textit{I. Hariton} et al., J. Theor. Biol. 248, No. 3, 460--470 (2007; Zbl 1451.92047) Full Text: DOI OpenURL
Tsai, S. F.; Sheu, Tony W. H. Finite element analysis of three-dimensional vortical flow structure and topology inside a carotid bifurcation model. (English) Zbl 1184.76730 Int. J. Comput. Fluid Dyn. 21, No. 1, 29-36 (2007). MSC: 76M10 76Z05 92C35 PDF BibTeX XML Cite \textit{S. F. Tsai} and \textit{T. W. H. Sheu}, Int. J. Comput. Fluid Dyn. 21, No. 1, 29--36 (2007; Zbl 1184.76730) Full Text: DOI OpenURL
Rayz, Vitaliy L.; Berger, Stanley A.; Saloner, David Transitional flows in arterial fluid dynamics. (English) Zbl 1119.76075 Comput. Methods Appl. Mech. Eng. 196, No. 31-32, 3043-3048 (2007). MSC: 76Z05 76F65 76M12 92C35 PDF BibTeX XML Cite \textit{V. L. Rayz} et al., Comput. Methods Appl. Mech. Eng. 196, No. 31--32, 3043--3048 (2007; Zbl 1119.76075) Full Text: DOI OpenURL
Tezduyar, Tayfun E.; Sathe, Sunil; Cragin, Timothy; Nanna, Bryan; Conklin, Brian S.; Pausewang, Jason; Schwaab, Matthew Modelling of fluid-structure interactions with the space-time finite elements: arterial fluid mechanics. (English) Zbl 1276.76043 Int. J. Numer. Methods Fluids 54, No. 6-8, 901-922 (2007). MSC: 76M10 76Z05 92C10 74F10 PDF BibTeX XML Cite \textit{T. E. Tezduyar} et al., Int. J. Numer. Methods Fluids 54, No. 6--8, 901--922 (2007; Zbl 1276.76043) Full Text: DOI OpenURL
Postelnicu, A.; Minea, D. Finite element analysis of the hemodynamics in the human carotid artery bifurcation. (English) Zbl 1015.76042 Appl. Mech. Eng. 5, No. 4, 759-772 (2000). MSC: 76M10 76Z05 PDF BibTeX XML Cite \textit{A. Postelnicu} and \textit{D. Minea}, Appl. Mech. Eng. 5, No. 4, 759--772 (2000; Zbl 1015.76042) OpenURL
Kinsner, W.; Yan, Y. A model of the carotid vascular system with stenosis at the carotid bifurcation. (English) Zbl 0724.92014 Math. Comput. Modelling 14, 582-585 (1990). MSC: 92C50 92C30 PDF BibTeX XML Cite \textit{W. Kinsner} and \textit{Y. Yan}, Math. Comput. Modelling 14, 582--585 (1990; Zbl 0724.92014) Full Text: DOI OpenURL
Florian, H.; Perktold, K.; Gruber, K. Simulation der Partikelbahnen im pulsierenden Blutstrom einer Carotisverzweigung. (Simulation of particle paths in a pulsating blood flow of a carotid bifurcation). (German) Zbl 0585.76200 Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 193, 105-113 (1984). MSC: 76Z05 76M99 92Cxx 76D10 PDF BibTeX XML Cite \textit{H. Florian} et al., Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 193, 105--113 (1984; Zbl 0585.76200) OpenURL
Florian, H.; Perktold, K.; Gruber, K. Pulsatile Strömung in einem Modell der Carotisverzweigung. (Pulsatile flow in a model of the carotid bifurcation). (German) Zbl 0585.76199 Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 193, 93-104 (1984). MSC: 76Z05 76M99 92Cxx 76D10 PDF BibTeX XML Cite \textit{H. Florian} et al., Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 193, 93--104 (1984; Zbl 0585.76199) OpenURL