{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,18]],"date-time":"2026-10-18T17:14:16Z","timestamp":1792343656248,"version":"4.4.0"},"reference-count":58,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2023,11,14]],"date-time":"2023-11-14T00:00:00Z","timestamp":1699920000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,11,14]],"date-time":"2023-11-14T00:00:00Z","timestamp":1699920000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["2012286"],"award-info":[{"award-number":["2012286"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Biomed Eng"],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1007\/s10439-023-03360-5","type":"journal-article","created":{"date-parts":[[2023,11,14]],"date-time":"2023-11-14T15:02:29Z","timestamp":1699974149000},"page":"208-225","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Reduced Order Modeling for Real-Time Stent Deformation Simulations of Transcatheter Aortic Valve Prostheses"],"prefix":"10.1007","volume":"52","author":[{"given":"Imran","family":"Shah","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Milad","family":"Samaee","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Atefeh","family":"Razavi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fateme","family":"Esmailie","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Francesco","family":"Ballarin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lakshmi P.","family":"Dasi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8916-1190","authenticated-orcid":false,"given":"Alessandro","family":"Veneziani","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,11,14]]},"reference":[{"key":"3360_CR1","volume":"717","author":"J Ahrens","year":"2005","unstructured":"Ahrens, J., B. Geveci, and C. Law. Paraview: an end-user tool for large data visualization. Vis. Handb. 717:500381, 2005.","journal-title":"Vis. Handb."},{"key":"3360_CR2","first-page":"100","volume":"3","author":"M Aln\u00e6s","year":"2015","unstructured":"Aln\u00e6s, M., J. Blechta, J. Hake, A. Johansson, B. Kehlet, A. Logg, C. Richardson, J. Ring, M. E. Rognes, and G. N. Wells. The Fenics project version 15. Arch. Numer. Softw. 3:100, 2015.","journal-title":"Arch. Numer. Softw."},{"key":"3360_CR3","doi-asserted-by":"publisher","first-page":"834","DOI":"10.1007\/s12265-021-10191-z","volume":"15","author":"S Anam","year":"2021","unstructured":"Anam, S., B. Kovarovic, R. Ghosh, M. Bianchi, A. Hamdan, R. Haj-Ali, and D. Bluestein. Assessment of paravalvular leak severity and thrombogenic potential in transcatheter bicuspid aortic valve replacements using patient-specific computational modeling. J. Cardiovasc. Transl. Res. 15:834\u2013844, 2021.","journal-title":"J. Cardiovasc. Transl. Res."},{"key":"3360_CR4","doi-asserted-by":"publisher","first-page":"1347","DOI":"10.1080\/10255842.2012.746676","volume":"17","author":"F Auricchio","year":"2013","unstructured":"Auricchio, F., M. Conti, S. Morganti, and A. Reali. Simulation of transcatheter aortic valve implantation: a patient-specific finite element approach. Comput. Methods Biomech. Biomed. Eng. 17:1347\u20131357, 2013.","journal-title":"Comput. Methods Biomech. Biomed. Eng."},{"key":"3360_CR5","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1016\/S0045-7825(96)01232-7","volume":"146","author":"F Auricchio","year":"1997","unstructured":"Auricchio, F., R. L. Taylor, and J. Lubliner. Shape-memory alloys: macromodelling and numerical simulations of the superelastic behavior. Comput. Methods Appl. Mech. Eng. 146:281\u2013312, 1997.","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"3360_CR6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbiomech.2021.110350","volume":"120","author":"S Bailoor","year":"2021","unstructured":"Bailoor, S., J.-H. Seo, L. Dasi, S. Schena, and R. Mittal. A computational study of the hemodynamics of bioprosthetic aortic valves with reduced leaflet motion. J. Biomech. 120:110350, 2021.","journal-title":"J. Biomech."},{"key":"3360_CR7","doi-asserted-by":"publisher","DOI":"10.4061\/2011\/263870","author":"K Balachandran","year":"2011","unstructured":"Balachandran, K., P. Sucosky, and A. P. Yoganathan. Hemodynamics and mechanobiology of aortic valve inflammation and calcification. Int. J. Inflamm. 2011. https:\/\/doi.org\/10.4061\/2011\/263870.","journal-title":"Int. J. Inflamm."},{"key":"3360_CR8","doi-asserted-by":"publisher","first-page":"1373","DOI":"10.1007\/s10237-017-0893-7","volume":"16","author":"F Ballarin","year":"2017","unstructured":"Ballarin, F., E. Faggiano, A. Manzoni, A. Quarteroni, G. Rozza, S. Ippolito, C. Antona, and R. Scrofani. Numerical modeling of hemodynamics scenarios of patient-specific coronary artery bypass grafts. Biomech. Model. Mechanobiol. 16:1373\u20131399, 2017.","journal-title":"Biomech. Model. Mechanobiol."},{"key":"3360_CR9","doi-asserted-by":"publisher","first-page":"104942","DOI":"10.1016\/j.compbiomed.2021.104942","volume":"139","author":"S Barati","year":"2021","unstructured":"Barati, S., N. Fatouraee, M. Nabaei, F. Berti, L. Petrini, F. Migliavacca, and J. F. R. Mata. A computational optimization study of a self-expandable transcatheter aortic valve. Comput. Biol. Med. 139:104942, 2021.","journal-title":"Comput. Biol. Med."},{"key":"3360_CR10","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/S0045-7825(00)00347-9","volume":"190","author":"M Barboteu","year":"2001","unstructured":"Barboteu, M., P. Alart, and M. Vidrascu. A domain decomposition approach strategy for nonclassical frictional multi-contact problems. Comput. Methods Appl. Mech. Eng. 190:37\u201338, 2001.","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"3360_CR11","doi-asserted-by":"publisher","first-page":"667","DOI":"10.1016\/j.crma.2004.08.006","volume":"339","author":"M Barrault","year":"2004","unstructured":"Barrault, M., Y. Maday, N. C. Nguyen, and A. T. Patera. An \u2018empirical interpolation\u2019 method: application to efficient reduced-basis discretization of partial differential equations. C.R. Math. 339:667\u2013672, 2004.","journal-title":"C.R. Math."},{"key":"3360_CR12","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/30\/5\/055006","volume":"30","author":"L Bertagna","year":"2014","unstructured":"Bertagna, L., and A. Veneziani. A model reduction approach for the variational estimation of vascular compliance by solving an inverse fluid-structure interaction problem. Inverse Prob.30:055006, 2014.","journal-title":"Inverse Prob."},{"key":"3360_CR13","doi-asserted-by":"crossref","unstructured":"Bianchi, M., R. P. Ghosh, G. Marom, M. J. Slepian, and D. Bluestein. Simulation of transcatheter aortic valve replacement in patient-specific aortic roots: effect of crimping and positioning on device performance. In: 2015 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp. 282\u2013285, IEEE2015.","DOI":"10.1109\/EMBC.2015.7318355"},{"key":"3360_CR14","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1007\/s10237-018-1094-8","volume":"18","author":"M Bianchi","year":"2019","unstructured":"Bianchi, M., G. Marom, R. P. Ghosh, O. M. Rotman, P. Parikh, L. Gruberg, and D. Bluestein. Patient-specific simulation of transcatheter aortic valve replacement: impact of deployment options on paravalvular leakage. Biomech. Model. Mechanobiol. 18:435\u2013451, 2019.","journal-title":"Biomech. Model. Mechanobiol."},{"key":"3360_CR15","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1007\/s10439-022-03047-3","volume":"51","author":"J Brown","year":"2023","unstructured":"Brown, J., J. Lee, M. Smith, D. Wells, A. Barrett, C. Puelz, J. Vavalle, and B. Griffith. Patient-specific immersed finite element-difference model of transcatheter aortic valve replacement. Ann. Biomed. Eng. 51:103\u2013116, 2023.","journal-title":"Ann. Biomed. Eng."},{"key":"3360_CR16","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1007\/s11517-012-0864-1","volume":"50","author":"C Capelli","year":"2012","unstructured":"Capelli, C., G. M. Bosi, E. Cerri, J. Nordmeyer, T. Odenwald, P. Bonhoeffer, F. Migliavacca, A. M. Taylor, and S. Schievano. Patient-specific simulations of transcatheter aortic valve stent implantation. Med. Biol. Eng. Comput. 50:183\u2013192, 2012.","journal-title":"Med. Biol. Eng. Comput."},{"key":"3360_CR17","doi-asserted-by":"publisher","first-page":"1825","DOI":"10.1007\/s00158-021-02944-w","volume":"64","author":"D Carbonaro","year":"2021","unstructured":"Carbonaro, D., D. Gallo, U. Morbiducci, A. Audenino, and C. Chiastra. In silico biomechanical design of the metal frame of transcatheter aortic valves: multi-objective shape and cross-sectional size optimization. Struct. Multidiscip. Optim. 64:1825\u20131842, 2021.","journal-title":"Struct. Multidiscip. Optim."},{"key":"3360_CR18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmbbm.2022.105623","volume":"138","author":"D Carbonaro","year":"2023","unstructured":"Carbonaro, D., S. Zambon, A. Corti, D. Gallo, U. Morbiducci, A. Audenino, and C. Chiastra. Impact of nickel-titanium super-elastic material properties on the mechanical performance of self-expandable transcatheter aortic valves. J. Mech. Behav. Biomed. Mater.138:105623, 2023.","journal-title":"J. Mech. Behav. Biomed. Mater."},{"key":"3360_CR19","doi-asserted-by":"publisher","first-page":"2383","DOI":"10.1016\/S0140-6736(17)30757-2","volume":"389","author":"T Chakravarty","year":"2017","unstructured":"Chakravarty, T., L. S\u00f8ndergaard, J. Friedman, O. De Backer, D. Berman, K. F. Kofoed, H. Jilaihawi, T. Shiota, Y. Abramowitz, T. H. J\u00f8rgensen, et al. Subclinical leaflet thrombosis in surgical and transcatheter bioprosthetic aortic valves: an observational study. Lancet. 389:2383\u20132392, 2017.","journal-title":"Lancet"},{"key":"3360_CR20","first-page":"808","volume":"78","author":"A Chatterjee","year":"2000","unstructured":"Chatterjee, A. An introduction to the proper orthogonal decomposition. Curr. Sci. 78:808\u2013817, 2000.","journal-title":"Curr. Sci."},{"key":"3360_CR21","doi-asserted-by":"crossref","unstructured":"Chaturantabut, S., and D. Sorensen. Discrete empirical interpolation for nonlinear model reduction. In: Proceedings of the 48th IEEE Conference on Decision and Control (CDC), pp. 4316\u20134321, 2009.","DOI":"10.1109\/CDC.2009.5400045"},{"key":"3360_CR22","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/2213-7467-1-11","volume":"1","author":"E Cueto","year":"2014","unstructured":"Cueto, E., and F. Chinesta. Real time simulations for computational surgery: a review. Adv. Model. Simul. Eng. Sci. 1:1\u201318, 2014.","journal-title":"Adv. Model. Simul. Eng. Sci."},{"key":"3360_CR23","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1007\/s10439-016-1759-3","volume":"45","author":"LP Dasi","year":"2017","unstructured":"Dasi, L. P., H. Hatoum, A. Kheradvar, R. Zareian, S. H. Alavi, W. Sun, C. Matin, T. Pham, Q. Wang, V. Raghav, and A. P. Yoganathan. On the mechanics of transcatheter aortic valve replacement. Ann. Biomed. Eng. 45:310\u2013331, 2017.","journal-title":"Ann. Biomed. Eng."},{"key":"3360_CR24","first-page":"15","volume":"10","author":"MA Daubert","year":"2017","unstructured":"Daubert, M. A., N. J. Weissman, R. T. Hahn, P. Pibarot, R. Parvataneni, M. J. Mack, L. G. Svensson, D. Gopal, S. Kapadia, R. J. Siegel, et al. Long-term valve performance of TAVR and SAVR: a report from the partner I trial. Cardiovasc. Imaging. 10:15\u201325, 2017.","journal-title":"Cardiovasc. Imaging"},{"key":"3360_CR25","doi-asserted-by":"publisher","first-page":"621","DOI":"10.1080\/24748706.2021.1991604","volume":"5","author":"C Dowling","year":"2021","unstructured":"Dowling, C., R. Gooley, L. McCormick, S. Brecker, S. Firoozi, V. Bapat, S. Kodali, O. Khalique, J. Brouwer, and M. Swaans. Patient-specific computer simulation to optimize transcatheter heart valve sizing and positioning in bicuspid aortic valve. Struct. Heart. 5:621\u2013630, 2021.","journal-title":"Struct. Heart"},{"key":"3360_CR26","doi-asserted-by":"publisher","DOI":"10.1016\/j.shj.2022.100032","volume":"6","author":"F Esmailie","year":"2022","unstructured":"Esmailie, F., A. Razavi, B. Yeats, S. K. Sivakumar, H. Chen, M. Samaee, I. Shah, A. Veneziani, P. Yadav, V. Thourani, and L. P. Dasi. Biomechanics of transcatheter aortic valve replacement complications and computational predictive modeling. Struct. Heart.6:100032, 2022.","journal-title":"Struct. Heart"},{"key":"3360_CR27","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1016\/j.medengphy.2017.06.045","volume":"47","author":"A Finotello","year":"2017","unstructured":"Finotello, A., S. Morganti, and F. Auricchio. Finite element analysis of TAVI: impact of native aortic root computational modeling strategies on simulation outcomes. Med. Eng. Phys. 47:2\u201312, 2017.","journal-title":"Med. Eng. Phys."},{"key":"3360_CR28","doi-asserted-by":"publisher","first-page":"480","DOI":"10.1161\/CIRCULATIONAHA.121.058339","volume":"146","author":"M Fukui","year":"2022","unstructured":"Fukui, M., V. Bapat, S. Garcia, M. Dworak, G. Hashimoto, H. Sato, M. Gossl, M. Enriquez-Sarano, J. Lesser, J. Cavalcante, and P. Sorajja. Deformation of transcatheter aortic valve prosthesis: Implications for hypoattenuating leaflet thickening and clinical outcomes. Circulation. 146:480\u2013493, 2022.","journal-title":"Circulation"},{"key":"3360_CR29","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1109\/TBME.2013.2273496","volume":"61","author":"M Gessat","year":"2013","unstructured":"Gessat, M., R. Hopf, T. Pollok, C. Russ, T. Frauenfelder, S. Sundermann, S. Hirsch, E. Mazza, G. Szekely, and V. Falk. Image-based mechanical analysis of stent deformation: concept and exemplary implementation for aortic valve stents. IEEE Trans. Biomed. Eng. 61:4\u201315, 2013.","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"3360_CR30","doi-asserted-by":"publisher","first-page":"1989","DOI":"10.1007\/s10439-014-1051-3","volume":"42","author":"PS Gunning","year":"2014","unstructured":"Gunning, P. S., T. J. Vaughan, and L. M. McNamara. Simulation of self expanding transcatheter aortic valve in a realistic aortic root: implications of deployment geometry on leaflet deformation. Ann. Biomed. Eng. 42:1989\u20132001, 2014.","journal-title":"Ann. Biomed. Eng."},{"key":"3360_CR31","doi-asserted-by":"publisher","first-page":"751","DOI":"10.1115\/1.2264382","volume":"128","author":"G Hall","year":"2006","unstructured":"Hall, G., and E. Kasper. Comparison of element technologies for modeling stent expansion. J. Biomech. Eng. 128:751\u2013756, 2006.","journal-title":"J. Biomech. Eng."},{"key":"3360_CR32","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1007\/s10439-022-03039-3","volume":"51","author":"R Helbock","year":"2022","unstructured":"Helbock, R., S. Anam, B. Kovarovic, M. Slepia, A. Hamdan, R. Haj-Ali, and D. Bluestein. Designing a novel asymmetric transcatheter aortic valve for stenotic bicuspid aortic valves using patient-specific computational modeling. Ann. Biomed. Eng. 51:58\u201370, 2022.","journal-title":"Ann. Biomed. Eng."},{"key":"3360_CR33","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-22470-1","volume-title":"Certified Reduced Basis Methods for Parameterized Partial Differential Equations","author":"JS Hesthaven","year":"2016","unstructured":"Hesthaven, J. S., G. Rozza, B. Stamm, et al. Certified Reduced Basis Methods for Parameterized Partial Differential Equations, Vol. 590, Berlin: Springer, 2016."},{"key":"3360_CR34","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1002\/(SICI)1097-0363(19960315)22:5<325::AID-FLD307>3.0.CO;2-Y","volume":"22","author":"JG Heywood","year":"1996","unstructured":"Heywood, J. G., R. Rannacher, and S. Turek. Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Int. J. Numer. Meth. Fluids. 22:325\u2013352, 1996.","journal-title":"Int. J. Numer. Meth. Fluids"},{"key":"3360_CR35","doi-asserted-by":"publisher","first-page":"1055","DOI":"10.1007\/s00466-014-1059-4","volume":"54","author":"M-C Hsu","year":"2014","unstructured":"Hsu, M.-C., D. Kamensky, Y. Bazilevs, M. S. Sacks, and T. J. Hughes. Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation. Comput. Mech. 54:1055\u20131071, 2014.","journal-title":"Comput. Mech."},{"key":"3360_CR36","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1016\/j.jmbbm.2018.06.032","volume":"86","author":"H Kandail","year":"2018","unstructured":"Kandail, H., S. Trivedi, A. Shaikh, T. Bajwa, D. O\u2019Hair, A. Jahangir, and J. LaDisa. Impact of annular and supra-annular CoreValve deployment locations on aortic and coronary artery hemodynamics. J. Mech. Behav. Biomed. Mater. 86:131\u2013142, 2018.","journal-title":"J. Mech. Behav. Biomed. Mater."},{"key":"3360_CR37","doi-asserted-by":"publisher","first-page":"1686","DOI":"10.1056\/NEJMoa1200384","volume":"366","author":"SK Kodali","year":"2012","unstructured":"Kodali, S. K., M. R. Williams, C. R. Smith, L. G. Svensson, J. G. Webb, R. R. Makkar, G. P. Fontana, T. M. Dewey, V. H. Thourani, A. D. Pichard, et al. Two-year outcomes after transcatheter or surgical aortic-valve replacement. N. Engl. J. Med. 366:1686\u20131695, 2012.","journal-title":"N. Engl. J. Med."},{"key":"3360_CR38","doi-asserted-by":"publisher","DOI":"10.1115\/1.4054149","volume":"144","author":"B Kovarovic","year":"2022","unstructured":"Kovarovic, B., R. Helbock, K. Baylous, O. Rotman, M. Slepian, and D. Bluestein. Visions of TAVR future: development and optimization of a second generation novel polymeric TAVR. J. Biomech. Eng.144:061008, 2022.","journal-title":"J. Biomech. Eng."},{"key":"3360_CR39","doi-asserted-by":"publisher","first-page":"2129","DOI":"10.1007\/s11517-019-02012-y","volume":"57","author":"K Lavon","year":"2019","unstructured":"Lavon, K., G. Marom, M. Bianchi, R. Halevi, A. Hamdan, A. Morany, E. Raanani, D. Bluestein, and R. Haj-Ali. Biomechanical modeling of transcatheter aortic valve replacement in a stenotic bicuspid aortic valve: deployments and paravalvular leakage. Med. Biol. Eng. Comput. 57:2129\u20132143, 2019.","journal-title":"Med. Biol. Eng. Comput."},{"key":"3360_CR40","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-23099-8","volume-title":"Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book","author":"A Logg","year":"2012","unstructured":"Logg, A., K.-A. Mardal, and G. Wells. Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book, Vol. 84, Berlin: Springer, 2012."},{"key":"3360_CR41","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1007\/s13239-019-00427-0","volume":"10","author":"G Luraghi","year":"2019","unstructured":"Luraghi, G., F. Migliavacca, A. Garcia-Gonzalez, C. Chiastra, A. Rossi, D. Cao, G. Stefanini, and J. F. R. Matas. On the modeling of patient-specific transcatheter aortic valve replacement: a fluid-structure interaction approach. Cardiovasc. Eng. Technol. 10:437\u2013455, 2019.","journal-title":"Cardiovasc. Eng. Technol."},{"key":"3360_CR42","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1080\/14779072.2021.1850265","volume":"19","author":"G Luraghi","year":"2020","unstructured":"Luraghi, G., J. F. R. Matas, and F. Migliavacca. In silico approaches for transcatheter aortic valve replacement inspection. Expert Rev. Cardiovasc. Therapy. 19:61\u201370, 2020.","journal-title":"Expert Rev. Cardiovasc. Therapy"},{"key":"3360_CR43","doi-asserted-by":"publisher","DOI":"10.1115\/1.4040457","volume":"140","author":"W Mao","year":"2018","unstructured":"Mao, W., Q. Wang, S. Kodali, and W. Sun. Numerical parametric study of paravalvular leak following a transcatheter aortic valve deployment into a patient-specific aortic root. J. Biomech. Eng.140:101007, 2018.","journal-title":"J. Biomech. Eng."},{"key":"3360_CR44","first-page":"1618","volume":"9","author":"P Midha","year":"2016","unstructured":"Midha, P., V. Raghav, J. Condado, I. Okafor, S. Lerakis, V. Thourani, V. Babaliaros, and A. Yoganathan. Valve type, size, and deployment location affect hemodynamics in an in vitro valve-in-valve model. Cardiovasc. Interv. 9:1618\u20131628, 2016.","journal-title":"Cardiovasc. Interv."},{"key":"3360_CR45","unstructured":"Mmg-Open-Source-Consortium. https:\/\/github.com\/MmgTools\/mmg."},{"key":"3360_CR46","doi-asserted-by":"publisher","first-page":"2513","DOI":"10.1016\/j.jbiomech.2015.10.048","volume":"49","author":"S Morganti","year":"2016","unstructured":"Morganti, S., N. Brambilla, A. Petronio, A. Reali, F. Bedogni, and F. Auricchio. Prediction of patient-specific post-operative outcomes of TAVI procedure: the impact of the positioning strategy on valve performance. J. Biomech. 49:2513\u20132519, 2016.","journal-title":"J. Biomech."},{"key":"3360_CR47","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1007\/s10439-012-0694-1","volume":"41","author":"J Mummert","year":"2012","unstructured":"Mummert, J., E. Sirois, and W. Sun. Quantification of biomechanical interaction of transcatheter aortic valve stent deployed in porcine and ovine hearts. Ann. Biomed. Eng. 41:577\u2013586, 2012.","journal-title":"Ann. Biomed. Eng."},{"key":"3360_CR48","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/s13239-010-0008-4","volume":"1","author":"M Padala","year":"2010","unstructured":"Padala, M., E. L. Sarin, P. Willis, V. Babaliaros, P. Block, R. A. Guyton, and V. H. Thourani. An engineering review of transcatheter aortic valve technologies. Cardiovasc. Eng. Technol. 1:77\u201387, 2010.","journal-title":"Cardiovasc. Eng. Technol."},{"key":"3360_CR49","doi-asserted-by":"publisher","DOI":"10.1002\/cnm.3320","volume":"36","author":"MR Pfaller","year":"2020","unstructured":"Pfaller, M. R., M. C. Varona, J. Lang, C. Bertoglio, and W. A. Wall. Using parametric model order reduction for inverse analysis of large nonlinear cardiac simulations. Int. J. Numer. Methods Biomed. Eng.36:e3320, 2020.","journal-title":"Int. J. Numer. Methods Biomed. Eng."},{"key":"3360_CR50","volume-title":"Numerical Mathematics","author":"A Quarteroni","year":"2010","unstructured":"Quarteroni, A., R. Sacco, and F. Saleri. Numerical Mathematics, Vol. 37, Berlin: Springer, 2010."},{"key":"3360_CR51","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1161\/CIRCINTERVENTIONS.112.000278","volume":"6","author":"HB Ribeiro","year":"2013","unstructured":"Ribeiro, H. B., L. Nombela-Franco, M. Urena, M. Mok, S. Pasian, D. Doyle, R. DeLarochelli\u00e8re, M. C\u00f4t\u00e9, L. Laflamme, H. DeLarochelli\u00e8re, et al. Coronary obstruction following transcatheter aortic valve implantation: a systematic review. Cardiovasc. Interv. 6:452\u2013461, 2013.","journal-title":"Cardiovasc. Interv."},{"key":"3360_CR52","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3508372","volume":"41","author":"T Schneider","year":"2022","unstructured":"Schneider, T., Y. Hu, X. Gao, J. Dumas, D. Zorin, and D. Panozzo. A large-scale comparison of tetrahedral and hexahedral elements for solving elliptic PDEs with the finite element method. ACM Trans. Graph. 41:1\u201314, 2022.","journal-title":"ACM Trans. Graph."},{"key":"3360_CR53","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1016\/j.medengphy.2012.04.009","volume":"35","author":"S Tzamtzis","year":"2013","unstructured":"Tzamtzis, S., J. Viquerat, J. Yap, M. Mullen, and G. Burriesci. Numerical analysis of the radial force produced by the medtronic-corevalve and edwards-sapien after transcatheter aortic valve implantation (TAVI). Med. Eng. Phys. 35:125\u2013130, 2013.","journal-title":"Med. Eng. Phys."},{"key":"3360_CR54","series-title":"Johns Hopkins Studies in Mathematical Sciences","volume-title":"Matrix Computations","author":"CF Van Loan","year":"1996","unstructured":"Van Loan, C. F., and G. Golub. Matrix Computations. Johns Hopkins Studies in Mathematical Sciences. Baltimore: The Johns Hopkins University Press, 1996."},{"key":"3360_CR55","doi-asserted-by":"publisher","first-page":"1965","DOI":"10.1016\/j.jbiomech.2012.05.008","volume":"45","author":"Q Wang","year":"2012","unstructured":"Wang, Q., E. Sirois, and W. Sun. Patient-specific modeling of biomechanical interaction in transcatheter aortic valve deployment. J. Biomech. 45:1965\u20131971, 2012.","journal-title":"J. Biomech."},{"key":"3360_CR56","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1016\/j.apnum.2017.01.006","volume":"115","author":"H Yang","year":"2017","unstructured":"Yang, H., and A. Veneziani. Efficient estimation of cardiac conductivities via POD-DEIM model order reduction. Appl. Numer. Math. 115:180\u2013199, 2017.","journal-title":"Appl. Numer. Math."},{"key":"3360_CR57","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1007\/s10237-011-0301-7","volume":"11","author":"CH Yap","year":"2012","unstructured":"Yap, C. H., N. Saikrishnan, G. Tamilselvan, and A. P. Yoganathan. Experimental measurement of dynamic fluid shear stress on the aortic surface of the aortic valve leaflet. Biomech. Model. Mechanobiol. 11:171\u2013182, 2012.","journal-title":"Biomech. Model. Mechanobiol."},{"key":"3360_CR58","doi-asserted-by":"publisher","DOI":"10.1002\/cnm.3367","volume":"37","author":"Z Zainib","year":"2020","unstructured":"Zainib, Z., F. Ballarin, S. Fremes, P. Triverio, L. Jim\u00e9nez-Juan, and G. Rozza. Reduced order methods for parametric optimal flow control in coronary bypass grafts, toward patient-specific data assimilation. Int. J. Numer. Methods Biomed. Eng.37:e3367, 2020.","journal-title":"Int. J. Numer. Methods Biomed. Eng."}],"container-title":["Annals of Biomedical Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10439-023-03360-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10439-023-03360-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10439-023-03360-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,24]],"date-time":"2024-01-24T23:10:50Z","timestamp":1706137850000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10439-023-03360-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,14]]},"references-count":58,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["3360"],"URL":"https:\/\/doi.org\/10.1007\/s10439-023-03360-5","relation":{},"ISSN":["0090-6964","1573-9686"],"issn-type":[{"value":"0090-6964","type":"print"},{"value":"1573-9686","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,14]]},"assertion":[{"value":"29 March 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 November 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no conflict of interest to disclose with the research presented here.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}