Chauhan, A.; Sasmal, C. Hemodynamics past a dysfunctional bileaflet mechanical heart valve. (English) Zbl 07967291 Int. J. Eng. Sci. 205, Article ID 104154, 20 p. (2024). MSC: 92-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Zhenmin; Yao, Jialiang; Xu, Jianda; Liu, Xiao; Liu, Mingyuan; Ye, Xia; Deng, Xiaoyan Nitric oxide transport in carotid bifurcation after different stent interventions: a numerical study. (English) Zbl 07965454 Math. Model. Nat. Phenom. 19, Paper No. 7, 14 p. (2024). MSC: 92-XX × Cite Format Result Cite Review PDF Full Text: DOI
Dobroserdova, Tatiana K.; Isaev, Alexander A.; Danilov, Alexander A.; Simakov, Sergey S. Junction conditions for one-dimensional network hemodynamic model for total cavopulmonary connection using physically informed deep learning technique. (English) Zbl 07942656 Russ. J. Numer. Anal. Math. Model. 39, No. 5, 259-271 (2024). MSC: 92C35 76Z05 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Schussnig, Richard; Rolf-Pissarczyk, Malte; Bäumler, Kathrin; Fries, Thomas-Peter; Holzapfel, Gerhard A.; Kronbichler, Martin On the role of tissue mechanics in fluid-structure interaction simulations of patient-specific aortic dissection. (English) Zbl 1542.92038 Int. J. Numer. Methods Eng. 125, No. 14, Article ID e7478, 39 p. (2024). MSC: 92C32 92C35 92C10 74F10 74L15 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Dirkes, Nico; Key, Fabian; Behr, Marek Eulerian formulation of the tensor-based morphology equations for strain-based blood damage modeling. (English) Zbl 1539.76291 Comput. Methods Appl. Mech. Eng. 426, Article ID 116979, 18 p. (2024). MSC: 76Z05 92-10 92C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Isaev, A.; Dobroserdova, T.; Danilov, A.; Simakov, S. Physically informed deep learning technique for estimating blood flow parameters in arterial bifurcations. (English) Zbl 1537.92035 Lobachevskii J. Math. 45, No. 1, 239-250 (2024). MSC: 92C35 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Zingaro, Alberto; Bucelli, Michele; Piersanti, Roberto; Regazzoni, Francesco; Dede’, Luca; Quarteroni, Alfio An electromechanics-driven fluid dynamics model for the simulation of the whole human heart. (English) Zbl 07842867 J. Comput. Phys. 504, Article ID 112885, 29 p. (2024). MSC: 92Cxx 76Zxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ye, Dongwei; Krzhizhanovskaya, Valeria; Hoekstra, Alfons G. Data-driven reduced-order modelling for blood flow simulations with geometry-informed snapshots. (English) Zbl 07811324 J. Comput. Phys. 497, Article ID 112639, 17 p. (2024). MSC: 65Mxx 65Nxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abakumov, M. V.; Mukhin, S. I.; Mysova, K. M.; Pokladyuk, A. Yu.; Khrulenko, A. B. Modeling of the substances dynamics within a self-consistent model of a systemic circle of blood circulation. (Russian. English summary) Zbl 1531.92030 Mat. Model. 35, No. 11, 3-20 (2023). MSC: 92C35 35K57 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Krivovichev, Gerasim Vladimirovich; Egorov, Nikolaĭ Vasil’evich Implicit finite-difference schemes for equations of one-dimensional hemodynamics. (Russian. English summary) Zbl 1531.65110 Differ. Uravn. Protsessy Upr. 2023, No. 3, 71-98 (2023). MSC: 65M06 76Z05 92C35 65M12 35Q92 × Cite Format Result Cite Review PDF Full Text: Link
Pandey, Chitranjan; Kumar, B. V. Rathish A numerical method for MHD Stokes model with applications in blood flow. (English) Zbl 1530.92049 Comput. Math. Biophys. 11, No. 1, Article ID 20230105, 13 p. (2023). MSC: 92C35 76Z05 76M12 76W05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Farías, Catalina; Bayona-Roa, Camilo; Castillo, Ernesto; Cabrales, Roberto C.; Reyes, Ricardo Reduced order modeling of parametrized pulsatile blood flows: hematocrit percentage and heart rate. (English) Zbl 1549.76292 Int. J. Eng. Sci. 193, Article ID 103943, 23 p. (2023). MSC: 76Z05 92-10 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Shang, Bo; Chen, Rou; Yan, Weiwei; Yu, Huidan(Whitney) GPU accelerated volumetric lattice Boltzmann model for image-based hemodynamics in portal hypertension. (English) Zbl 07761047 Comput. Fluids 266, Article ID 106038, 10 p. (2023). MSC: 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Qiao, Yonghui; Fan, Jianren; Luo, Kun Mechanism of blood flow energy loss in real healthy aorta using computational fluid-structure interaction framework. (English) Zbl 1549.76297 Int. J. Eng. Sci. 192, Article ID 103939, 11 p. (2023). MSC: 76Z05 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Amlani, Faisal; Wei, Heng; Pahlevan, Niema M. A Fourier-based methodology without numerical diffusion for conducting dye simulations and particle residence time calculations. (English) Zbl 07748058 J. Comput. Phys. 493, Article ID 112472, 20 p. (2023). MSC: 65Mxx 76Mxx 76Zxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Viola, Francesco; Meschini, Valentina; Verzicco, Roberto An FSEI approach for the assessment of stenotic aortic valve effects on the left heart hemodynamics. (English) Zbl 1521.76932 Comput. Fluids 265, Article ID 106017, 10 p. (2023). MSC: 76Z05 74F10 74L15 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Katz, Sarah; Caiazzo, Alfonso; John, Volker Impact of viscosity modeling on the simulation of aortic blood flow. (English) Zbl 1535.92002 J. Comput. Appl. Math. 425, Article ID 115036, 18 p. (2023). Reviewer: Murli Gupta (Washington, D.C.) MSC: 92-08 65M60 65M06 65N30 65F08 65F10 76A05 76D05 76F06 76Z05 92C35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Beggs, Kyle W.; Divo, Eduardo; Kassab, Alain J. A meshless multiscale method for simulating hemodynamics. (English) Zbl 1521.92003 Eng. Anal. Bound. Elem. 150, 167-179 (2023). MSC: 92-08 65D12 65M06 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Seong Woo; Puelz, Charles; Rusin, Craig G.; Penny, Daniel J.; Coleman, Ryan; Peskin, Charles S. Computer simulation of surgical interventions for the treatment of refractory pulmonary hypertension. (English) Zbl 1511.92032 Math. Med. Biol. 40, No. 1, 1-23 (2023). MSC: 92C50 92C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yan; Luan, Jingyang; Luo, Kun; Zhu, Ting; Fan, Jianren Multi-constituent simulation of thrombosis in aortic dissection. (English) Zbl 1522.92017 Int. J. Eng. Sci. 184, Article ID 103817, 15 p. (2023). MSC: 92C32 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Marcinno’, Fabio; Zingaro, Alberto; Fumagalli, Ivan; Dede’, Luca; Vergara, Christian A computational study of blood flow dynamics in the pulmonary arteries. (English) Zbl 1506.65157 Vietnam J. Math. 51, No. 1, 127-149 (2023). MSC: 65M60 65M06 65N30 65L06 76Z05 92C35 35Q92 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Golubev, A. E. Modeling and simulation of cerebral blood flow autoregulation considered as an output regulation control problem. (English) Zbl 1510.92067 Dal’nevost. Mat. Zh. 22, No. 2, 170-175 (2022). MSC: 92C35 34A34 93B05 93C10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Mei, Yuqian; Guan, Debao; Tong, Xinyu; Liu, Qian; Hu, Mingcheng; Chen, Guangxin; Li, Caijuan Association of cerebral infarction with vertebral arterial fenestration using non-Newtonian hemodynamic evaluation. (English) Zbl 1508.92057 Math. Biosci. Eng. 19, No. 7, 7076-7090 (2022). MSC: 92C32 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Bunicheva, A. Ya.; Kochetov, E. V.; Mukhin, S. I. Mathematical model of building a neural network for diagnosing circulatory disorders. (English. Russian original) Zbl 1505.92044 Mosc. Univ. Comput. Math. Cybern. 46, No. 3, 125-132 (2022); translation from Vestn. Mosk. Univ., Ser. XV 2022, No. 3, 23-30 (2022). MSC: 92C32 93C35 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Totorean, Alin-Florin; Bernad, Sandor Ianos; Ciocan, Tiberiu; Totorean, Iuliana-Claudia; Bernad, Elena Silvia Computational fluid dynamics applications in cardiovascular medicine – from medical image-based modeling to simulation: numerical analysis of blood flow in abdominal aorta. (English) Zbl 1507.76266 Zeidan, Dia (ed.) et al., Advances in fluid mechanics. Modelling and simulations. Singapore: Springer. Forum Interdiscip. Math., 1-42 (2022). MSC: 76Z05 76M10 76D05 92C35 76-02 92-02 × Cite Format Result Cite Review PDF Full Text: DOI
Fernandes, Maria Carolina; Sousa, Luísa Costa; de Castro, Catarina Ferreira; da Palma, José Manuel Laginha Mestre; António, Carlos Conceição; Pinto, Sónia Isabel Silva Implementation and comparison of non-Newtonian viscosity models in hemodynamic simulations of patient coronary arteries. (English) Zbl 1496.76015 Giorgio, Ivan (ed.) et al., Theoretical analyses, computations, and experiments of multiscale materials. A tribute to Francesco dell’Isola. Cham: Springer. Adv. Struct. Mater. 175, 403-428 (2022). MSC: 76-10 76A05 76Z05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Mingyang; Gao, Guangjun; Khoo, Boo Cheong; He, Zhenhu; Jiang, Chen A cell-based smoothed finite element model for non-Newtonian blood flow. (English) Zbl 1510.76089 Appl. Math. Comput. 435, Article ID 127480, 22 p. (2022). MSC: 76M10 65N30 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Jadaun, Vishakha Pulsatile blood flow in healthy aorta: an application of nonlinear evolution equation. (English) Zbl 1498.92072 Int. J. Biomath. 15, No. 7, Article ID 2250047, 30 p. (2022). MSC: 92C35 47J35 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Krivovichev, Gerasim Vladimirovich; Egorov, Nikolay Vasil’evich Analysis of stationary solutions of one-dimensional models of hemodynamics. (Russian. English summary) Zbl 1504.76114 Differ. Uravn. Protsessy Upr. 2022, No. 1, 64-87 (2022). MSC: 76Z05 76A05 76M99 92C35 × Cite Format Result Cite Review PDF Full Text: Link
Lan, Ingrid S.; Liu, Ju; Yang, Weiguang; Marsden, Alison L. A reduced unified continuum formulation for vascular fluid-structure interaction. (English) Zbl 1507.76262 Comput. Methods Appl. Mech. Eng. 394, Article ID 114852, 38 p. (2022). MSC: 76Z05 74F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mansilla Alvarez, L. A.; Bulant, C. A.; Ares, G. D.; Feijóo, R. A.; Blanco, P. J. A mid-fidelity numerical method for blood flow in deformable vessels. (English) Zbl 1507.76264 Comput. Methods Appl. Mech. Eng. 392, Article ID 114654, 16 p. (2022). MSC: 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Lacy, Thomas C.; Robinson, Peter A.; Aquino, Kevin M.; Pang, James C. Cortical depth-dependent modeling of visual hemodynamic responses. (English) Zbl 1483.92056 J. Theor. Biol. 535, Article ID 110978, 11 p. (2022). MSC: 92C35 × Cite Format Result Cite Review PDF Full Text: DOI DOI
Craven, Brent A.; Faghih, Mohammad M.; Aycock, Kenneth I.; Kolahdouz, Ebrahim M. A Poisson equation method for prescribing fully developed non-Newtonian inlet conditions for computational fluid dynamics simulations in models of arbitrary cross-section. (English) Zbl 1540.76258 Math. Comput. Simul. 194, 523-538 (2022). MSC: 76Z05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Krivovichev, Gerasim V. Comparison of inviscid and viscid one-dimensional models of blood flow in arteries. (English) Zbl 1510.76224 Appl. Math. Comput. 418, Article ID 126856, 19 p. (2022). MSC: 76Z05 35L40 76A05 76M20 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Zi-Ju; Qin, Shanlin; Chen, Rongliang; Cai, Xiao-Chuan A parallel domain decomposition method for large eddy simulation of blood flow in human artery with resistive boundary condition. (English) Zbl 1521.76927 Comput. Fluids 232, Article ID 105201, 11 p. (2022). MSC: 76Z05 65M55 65Y05 76F65 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Honghui; Xia, Jun; Yang, Yinlong; Yang, Qingqing; Song, Hongfang; Xie, Jinjie; Ma, Yue; Hou, Yang; Qiao, Aike Branch flow distribution approach and its application in the calculation of fractional flow reserve in stenotic coronary artery. (English) Zbl 1501.92026 Math. Biosci. Eng. 18, No. 5, 5978-5994 (2021). MSC: 92C35 92C32 × Cite Format Result Cite Review PDF Full Text: DOI
Suarez, Alejandro; Valdes-Hernandez, Pedro A.; Moshkforoush, Arash; Tsoukias, Nikolaos; Riera, Jorge Arterial blood stealing as a mechanism of negative BOLD response: from the steady-flow with nonlinear phase separation to a windkessel-based model. (English) Zbl 1472.92094 J. Theor. Biol. 529, Article ID 110856, 13 p. (2021). MSC: 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Dal Santo, Niccolò; Manzoni, Andrea; Pagani, Stefano; Quarteroni, Alfio Reduced-order modeling for applications to the cardiovascular system. (English) Zbl 1477.65157 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 251-277 (2021). MSC: 65M60 65M99 65N12 76M10 76D05 76Z05 92C35 35Q35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Zaman, Akbar; Khan, Ambreen Afsar Time dependent non-Newtonian nano-fluid (blood) flow in w-shape stenosed channel; with curvature effects. (English) Zbl 1524.76545 Math. Comput. Simul. 181, 82-97 (2021). MSC: 76Z05 92C35 76A05 × Cite Format Result Cite Review PDF Full Text: DOI
Pyanylo, Ya. D. Mathematical modeling of mass transfer in complex technical and bio-medical systems. (Ukrainian, English) Zbl 1513.76122 Mat. Metody Fiz.-Mekh. Polya 63, No. 3, 136-149 (2020); translation in J. Math. Sci., New York 273, No. 1, 163-180 (2023). Reviewer: L. N. Chernetskaja (Kyïv) MSC: 76N15 76E99 92C10 76Z05 × Cite Format Result Cite Review PDF
Haßler, Stefan; Ranno, Anna Maria; Behr, Marek Finite-element formulation for advection-reaction equations with change of variable and discontinuity capturing. (English) Zbl 1506.76079 Comput. Methods Appl. Mech. Eng. 369, Article ID 113171, 15 p. (2020). MSC: 76M10 65M60 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Hongtao; Liu, Shuqin; Ma, Xiaoxu; Zhang, Yunpeng A numerical model applied to the simulation of cardiovascular hemodynamics and operating condition of continuous-flow left ventricular assist device. (English) Zbl 1471.92116 Math. Biosci. Eng. 17, No. 6, 7519-7543 (2020). MSC: 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Curcio, Luciano; Cusimano, Valerio; D’Orsi, Laura; Yokrattanasak, Jiraphat; De Gaetano, Andrea Comparison between two different cardiovascular models during a hemorrhagic shock scenario. (English) Zbl 1470.92096 Math. Biosci. Eng. 17, No. 5, 5027-5058 (2020). MSC: 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Zaman, Akbar; Ali, Nasir; Khan, Ambreen Afsar Computational biomedical simulations of hybrid nanoparticles on unsteady blood hemodynamics in a stenotic artery. (English) Zbl 1510.92072 Math. Comput. Simul. 169, 117-132 (2020). MSC: 92C35 76Z05 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Mamontov, A. E.; Prokudin, D. A. One-dimensional multicomponent hemodynamics. (Russian. English summary) Zbl 1460.35355 Sib. Èlektron. Mat. Izv. 17, 1975-1989 (2020). Reviewer: Yaroslav Baranetskij (Lviv) MSC: 35Q92 35A01 35A02 35A09 76Z05 92C35 74F10 74B10 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Huijuan; Baroli, Davide; Di Massimo, Francesca; Quaini, Annalisa; Veneziani, Alessandro Backflow stabilization by deconvolution-based large eddy simulation modeling. (English) Zbl 1453.76237 J. Comput. Phys. 404, Article ID 109103, 21 p. (2020). MSC: 76Z05 76M10 76M20 76F65 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ju; Yang, Weiguang; Dong, Melody; Marsden, Alison L. The nested block preconditioning technique for the incompressible Navier-Stokes equations with emphasis on hemodynamic simulations. (English) Zbl 1442.76045 Comput. Methods Appl. Mech. Eng. 367, Article ID 113122, 31 p. (2020). MSC: 76D05 35Q30 65M22 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Han; Zhu, Xueyu; Wang, Jian-Xun A bi-fidelity surrogate modeling approach for uncertainty propagation in three-dimensional hemodynamic simulations. (English) Zbl 1442.76163 Comput. Methods Appl. Mech. Eng. 366, Article ID 113047, 22 p. (2020). MSC: 76Z05 92-10 92C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guzzetti, S.; Mansilla Alvarez, L. A.; Blanco, P. J.; Carlberg, K. T.; Veneziani, A. Propagating uncertainties in large-scale hemodynamics models via network uncertainty quantification and reduced-order modeling. (English) Zbl 1441.76147 Comput. Methods Appl. Mech. Eng. 358, Article ID 112626, 20 p. (2020). MSC: 76Z05 65M55 76M10 65M60 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Zalyapin, V. I.; Isaev, A. P.; Bakhareva, A. S.; Aminova, A. S. Modelling the spectral characteristics of the circulatory system of athletes-skiers. (English) Zbl 1499.92025 J. Comput. Eng. Math. 6, No. 4, 57-68 (2019). MSC: 92C35 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Tatone, A.; Recrosi, F.; Repetto, R.; Guidoboni, G. From species diffusion to poroelasticity and the modeling of lamina cribrosa. (English) Zbl 1474.74045 J. Mech. Phys. Solids 124, 849-870 (2019). MSC: 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Mansilla Alvarez, L. A.; Blanco, P. J.; Bulant, C. A.; Feijóo, R. A. Towards fast hemodynamic simulations in large-scale circulatory networks. (English) Zbl 1440.76170 Comput. Methods Appl. Mech. Eng. 344, 734-765 (2019). MSC: 76Z05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
El Khatib, N.; Kafi, O.; Sequeira, A.; Simakov, S.; Vassilevski, Yu.; Volpert, V. Mathematical modelling of atherosclerosis. (English) Zbl 1431.92031 Math. Model. Nat. Phenom. 14, No. 6, Paper No. 603, 25 p. (2019). MSC: 92C32 92C35 35K57 74F10 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Hundertmark-Zaušková, Anna On the convergence of fixed point iterations for the moving geometry in a fluid-structure interaction problem. (English) Zbl 1428.35292 J. Differ. Equations 267, No. 12, 7002-7046 (2019). MSC: 35Q30 35D30 74F10 76D05 76D03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Capo Rangel, G.; Prezioso, J.; Gerardo-Giorda, L.; Somersalo, E.; Calvetti, D. Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model. (English) Zbl 1416.92047 J. Theor. Biol. 478, 26-39 (2019). MSC: 92C30 92C37 92C35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Luo, Ke; Jiang, Wentao; Yu, Chen; Tian, Xiaobao; Zhou, Zhihong; Ding, Yuan Fluid-solid interaction analysis on iliac bifurcation artery: a numerical study. (English) Zbl 1479.76124 Int. J. Comput. Methods 16, No. 7, Article ID 1850112, 18 p. (2019). MSC: 76Z05 92C35 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Bezyaev, V. I.; Sadekov, N. Kh. On hemodynamics problems on graphs. (English. Russian original) Zbl 1421.35374 J. Math. Sci., New York 239, No. 6, 725-738 (2019); translation from Sovrem. Mat., Fundam. Napravl. 62, 5-18 (2016). MSC: 35Q92 35R02 76Z05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Konshin, Igor N.; Olshanskii, Maxim A.; Vassilevski, Yuri V. An algebraic solver for the Oseen problem with application to hemodynamics. (English) Zbl 1416.76116 Chetverushkin, B. N. (ed.) et al., Contributions to partial differential equations and applications. Invited papers of the conferences ‘Contributions to partial differential equations’, Université Pierre et Marie Curie, Paris, France, August 31 – September 1, 2015 and ‘Applied and computational mathematics’, University of Houston, Texas, USA, February 26–27, 2016. Cham: Springer. Comput. Methods Appl. Sci. 47, 339-357 (2019). MSC: 76M10 76Z05 65M60 92C35 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Boyan; Wang, Wenxin; Li, Bao; Zhang, Xiaoyan; Liu, Youjun Competitive flow effects of internal mammary artery bypass with different coronary stenosis lengths. (English) Zbl 1511.92020 Int. J. Comput. Methods 16, No. 3, Article ID 1842013, 12 p. (2019). MSC: 92C35 92C50 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Zaman, A.; Ali, N.; Kousar, Nabeela Nanoparticles (Cu, TiO\(_2\), Al\(_2\)O\(_3\)) analysis on unsteady blood flow through an artery with a combination of stenosis and aneurysm. (English) Zbl 1442.92041 Comput. Math. Appl. 76, No. 9, 2179-2191 (2018). MSC: 92C35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Avrahami, Idit; Raz, Dafna; Bash, Oranit Biomechanical aspects of closing approaches in postcarotid endarterectomy. (English) Zbl 1431.92010 Comput. Math. Methods Med. 2018, Article ID 4517652, 10 p. (2018). MSC: 92C10 92C50 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Lascano, Elena C.; Felice, Juan I.; Wray, Sandra; Kosta, Sara; Dauby, Pierre C.; Cabrera-Fischer, Edmundo I.; Negroni, Jorge A. Experimental assessment of a myocyte-based multiscale model of cardiac contractile dysfunction. (English) Zbl 1406.92104 J. Theor. Biol. 456, 16-28 (2018). MSC: 92C30 × Cite Format Result Cite Review PDF Full Text: DOI
Davydova, Svetamira G.; Kiselev, Ilya N.; Biberdorf, Elina A. Influence of the vessel shape and the equation of state on the formation of a pulse wave in the 1D hemodynamics model. (English) Zbl 1405.76072 Math. Model. Nat. Phenom. 13, No. 5, Paper No. 46, 10 p. (2018). MSC: 76Z05 92C35 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Gerbeau, Jean-Frédéric; Lombardi, Damiano; Tixier, Eliott How to choose biomarkers in view of parameter estimation. (English) Zbl 1405.92126 Math. Biosci. 303, 62-74 (2018). MSC: 92C50 92C40 92B15 62P10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Sequeira, Adélia; Tiago, Jorge; Guerra, Telma Boundary control problems in hemodynamics. (English) Zbl 1404.92074 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). 27-48 (2018). MSC: 92C35 92-04 92C50 49N90 × Cite Format Result Cite Review PDF Full Text: DOI
Hubmer, Simon; Neubauer, Andreas; Ramlau, Ronny; Voss, Henning U. On the parameter estimation problem of magnetic resonance advection imaging. (English) Zbl 1397.65175 Inverse Probl. Imaging 12, No. 1, 175-204 (2018). MSC: 65M32 68U10 92C50 65F10 65M06 92C55 65T60 93B30 78A40 × Cite Format Result Cite Review PDF Full Text: DOI
Doutel, E.; Carneiro, J.; Campos, J. B. L. M.; Miranda, J. M. Experimental and numerical methodology to analyze flows in a coronary bifurcation. (English) Zbl 1408.76603 Eur. J. Mech., B, Fluids 67, 341-356 (2018). MSC: 76Z05 92C35 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yifan; Quaini, Annalisa; Čanić, Sunčica A higher-order discontinuous Galerkin/arbitrary Lagrangian Eulerian partitioned approach to solving fluid-structure interaction problems with incompressible, viscous fluids and elastic structures. (English) Zbl 1404.65183 J. Sci. Comput. 76, No. 1, 481-520 (2018). MSC: 65M60 76M10 65M55 76Z05 92C35 74D10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Azizi Tarksalooyeh, Victor W.; Závodszky, Gábor; van Rooij, Britt J. M.; Hoekstra, Alfons G. Inflow and outflow boundary conditions for 2D suspension simulations with the immersed boundary lattice Boltzmann method. (English) Zbl 1410.76451 Comput. Fluids 172, 312-317 (2018). MSC: 76T20 76M28 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Alhasan, Ahmed Abdulkareem; Luo, Ye; Wu, Tai-Hsien; He, Guowei; Qi, Dewei Lattice-Boltzmann lattice-spring simulations of two flexible fibers settling in moderate Reynolds number flows. (English) Zbl 1390.76693 Comput. Fluids 167, 341-358 (2018). MSC: 76M28 76Z05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bertoluzza, S.; Chabannes, V.; Prud’homme, C.; Szopos, M. Boundary conditions involving pressure for the Stokes problem and applications in computational hemodynamics. (English) Zbl 1439.76023 Comput. Methods Appl. Mech. Eng. 322, 58-80 (2017). MSC: 76D07 76Z05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Javid Mahmoudzadeh Akherat, S. M.; Cassel, Kevin; Boghosian, Michael; Hammes, Mary; Coe, Fredric A predictive framework to elucidate venous stenosis: CFD & shape optimization. (English) Zbl 1439.74200 Comput. Methods Appl. Mech. Eng. 321, 46-69 (2017). MSC: 74L15 92C10 76Z05 74F10 74P10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wu, Tai-Hsien; Qi, Dewei Lattice-Boltzmann lattice-spring simulations of influence of deformable blockages on blood fluids in an elastic vessel. (English) Zbl 1410.76489 Comput. Fluids 155, 103-111 (2017). MSC: 76Z05 76M28 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Delorme, Yann T.; Rodefeld, Mark D.; Frankel, Steven H. Multiblock high order large eddy simulation of powered fontan hemodynamics: towards computational surgery. (English) Zbl 1390.76934 Comput. Fluids 143, 16-31 (2017). MSC: 76Z05 92C35 76F65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tran, Justin S.; Schiavazzi, Daniele E.; Ramachandra, Abhay B.; Kahn, Andrew M.; Marsden, Alison L. Automated tuning for parameter identification and uncertainty quantification in multi-scale coronary simulations. (English) Zbl 1390.76945 Comput. Fluids 142, 128-138 (2017). MSC: 76Z05 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Konshin, Igor; Olshanskii, Maxim; Vassilevski, Yuri LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations. (English) Zbl 1424.76011 Numer. Linear Algebra Appl. 24, No. 3, e2085, 15 p. (2017). Reviewer: Miroslav Tůma (Praha) MSC: 76D05 35Q30 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Forti, Davide; Bukac, Martina; Quaini, Annalisa; Canic, Suncica; Deparis, Simone A monolithic approach to fluid-composite structure interaction. (English) Zbl 1397.76190 J. Sci. Comput. 72, No. 1, 396-421 (2017). MSC: 76Z05 74F10 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Fasano, Antonio; Sequeira, Adélia Hemomath. The mathematics of blood. (English) Zbl 1385.92001 MS&A. Modeling, Simulation and Applications 18. Cham: Springer (ISBN 978-3-319-60512-8/hbk; 978-3-319-60513-5/ebook). xvii, 340 p. (2017). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 92-02 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Laadhari, Aymen; Székely, Gábor Eulerian finite element method for the numerical modeling of fluid dynamics of natural and pathological aortic valves. (English) Zbl 1361.35182 J. Comput. Appl. Math. 319, 236-261 (2017). MSC: 35Q92 76Z05 92C35 76M10 76M20 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Khodaei, Seyedvahid; Fatouraee, Nasser; Nabaei, Malikeh Numerical simulation of mitral valve prolapse considering the effect of left ventricle. (English) Zbl 1361.92034 Math. Biosci. 285, 75-80 (2017). MSC: 92C50 92C30 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Puelz, Charles; Čanić, Sunčica; Rivière, Béatrice; Rusin, Craig G. Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods. (English) Zbl 1361.92020 Appl. Numer. Math. 115, 114-141 (2017). MSC: 92C35 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Wang, Lei; Shi, Baochang; Chai, Zhenhua A lattice Boltzmann study of the asymmetry effect on the hemodynamics in stented fusiform aneurysms. (English) Zbl 1443.92085 Comput. Math. Appl. 71, No. 1, 328-348 (2016). MSC: 92C35 65M75 76M28 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Naim, Wan Naimah Wan Ab; Ganesan, Poo Balan; Sun, Zhonghua; Liew, Yih Miin; Qian, Yi; Lee, Chang-Joon; Jansen, Shirley; Hashim, Shahrul Amry; Lim, Einly Prediction of thrombus formation using vortical structures presentation in Stanford type B aortic dissection: a preliminary study using CFD approach. (English) Zbl 1452.92016 Appl. Math. Modelling 40, No. 4, 3115-3127 (2016). MSC: 92C35 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. (English) Zbl 1423.76212 Comput. Methods Appl. Mech. Eng. 300, 129-145 (2016). MSC: 76M10 65M60 65M22 76Z05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Arbia, G.; Vignon-Clementel, I. E.; Hsia, T.-Y.; Gerbeau, J.-F. Modified Navier-Stokes equations for the outflow boundary conditions in hemodynamics. (English) Zbl 1408.76600 Eur. J. Mech., B, Fluids 60, 175-188 (2016). MSC: 76Z05 76D05 92D25 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Conti, Michele; Long, Chris; Marconi, Michele; Berchiolli, Raffaella; Bazilevs, Yuri; Reali, Alessandro Carotid artery hemodynamics before and after stenting: a patient specific CFD study. (English) Zbl 1390.76933 Comput. Fluids 141, 62-74 (2016). MSC: 76Z05 65M60 76M10 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Deparis, Simone; Forti, Davide; Grandperrin, Gwenol; Quarteroni, Alfio Facsi: a block parallel preconditioner for fluid-structure interaction in hemodynamics. (English) Zbl 1373.74036 J. Comput. Phys. 327, 700-718 (2016). MSC: 74F10 76Z05 76D05 92C35 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Mittal, Rajat; Seo, Jung Hee; Vedula, Vijay; Choi, Young J.; Liu, Hang; Huang, H. Howie; Jain, Saurabh; Younes, Laurent; Abraham, Theodore; George, Richard T. Computational modeling of cardiac hemodynamics: current status and future outlook. (English) Zbl 1349.92010 J. Comput. Phys. 305, 1065-1082 (2016). MSC: 92-08 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Sindeev, S. V.; Frolov, S. V. Modeling of cardiovascular system hemodynamics with cerebral aneurysm. (Russian. English summary) Zbl 1363.92009 Mat. Model. 28, No. 6, 98-114 (2016). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 92C35 76Z05 92C50 × Cite Format Result Cite Review PDF Full Text: MNR
Sotiropoulos, Fotis; Le, Trung Bao; Gilmanov, Anvar Fluid mechanics of heart valves and their replacements. (English) Zbl 1356.76470 Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 48. Palo Alto, CA: Annual Reviews (ISBN 978-0-8243-0748-6/hbk). Annual Review of Fluid Mechanics 48, 259-283 (2016). MSC: 76Z05 92C10 76-02 × Cite Format Result Cite Review PDF Full Text: DOI
Sgouralis, Ioannis; Maroulas, Vasileios; Layton, Anita T. Transfer function analysis of dynamic blood flow control in the rat kidney. (English) Zbl 1348.92045 Bull. Math. Biol. 78, No. 5, 923-960 (2016). MSC: 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Spronck, Bart; Walmsley, John; Palau-Caballero, Georgina; Reesink, Koen D.; Delhaas, Tammo Can significance of aortic sinus vortices be assessed using the assumptions in the model of Aboelkassem et al.? (English) Zbl 1343.92117 J. Theor. Biol. 389, 304-305 (2016). MSC: 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Sassaroli, Angelo; Kainerstorfer, Jana M.; Fantini, Sergio Nonlinear extension of a hemodynamic linear model for coherent hemodynamics spectroscopy. (English) Zbl 1343.92115 J. Theor. Biol. 389, 132-145 (2016). MSC: 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Runjing; Layton, Anita T. Modeling the effects of positive and negative feedback in kidney blood flow control. (English) Zbl 1341.92015 Math. Biosci. 276, 8-18 (2016). MSC: 92C35 92C42 × Cite Format Result Cite Review PDF Full Text: DOI
Herczyński, R. Fåhræus effect revisited. (English) Zbl 1338.76146 Arch. Mech. 68, No. 1, 81-93 (2016). MSC: 76Z05 92C10 × Cite Format Result Cite Review PDF Full Text: Link
Hundertmark, Anna; Lukáčová-Medviďová, Mária; Nečasová, Šárka On the weak solution of the fluid-structure interaction problem for shear-dependent fluids. (English) Zbl 1336.35294 Amann, Herbert (ed.) et al., Recent developments of mathematical fluid mechanics. Proceedings of the international conference on mathematical fluid dynamics on the occasion of Yoshihiro Shibata’s 60th birthday, Nara, Japan, March, 5–9, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0938-2/hbk; 978-3-0348-0939-9/ebook). Advances in Mathematical Fluid Mechanics, 291-319 (2016). MSC: 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Hundertmark-Zaušková, Anna; Lukáčová-Medviďová, Mária; Nečasová, Šárka On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid. (English) Zbl 1334.76032 J. Math. Soc. Japan 68, No. 1, 193-243 (2016). MSC: 76D03 74F10 35D30 76A05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Zamir, Mair Hemo-dynamics. (English) Zbl 1334.92003 Biological and Medical Physics, Biomedical Engineering. Cham: Springer (ISBN 978-3-319-24101-2/hbk; 978-3-319-24103-6/ebook). xxii, 407 p. (2016). MSC: 92-02 92C35 76Z05 76-01 × Cite Format Result Cite Review PDF Full Text: DOI
Sankaran, Sethuraman; Grady, Leo; Taylor, Charles A. Impact of geometric uncertainty on hemodynamic simulations using machine learning. (English) Zbl 1423.76530 Comput. Methods Appl. Mech. Eng. 297, 167-190 (2015). MSC: 76Z05 74F10 74L15 92C35 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Blanco, P. J.; Mansilla Alvarez, L. A.; Feijóo, R. A. Hybrid element-based approximation for the Navier-Stokes equations in pipe-like domains. (English) Zbl 1423.76516 Comput. Methods Appl. Mech. Eng. 283, 971-993 (2015). MSC: 76Z05 76M10 65M60 76D05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI