{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,12]],"date-time":"2026-10-12T17:10:27Z","timestamp":1791825027944,"version":"4.3.4"},"reference-count":212,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,5,5]],"date-time":"2022-05-05T00:00:00Z","timestamp":1651708800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>This paper provides a review of engineering applications and computational methods used to analyze the dynamics of heart valve closures in healthy and diseased states. Computational methods are a cost-effective tool that can be used to evaluate the flow parameters of heart valves. Valve repair and replacement have long-term stability and biocompatibility issues, highlighting the need for a more robust method for resolving valvular disease. For example, while fluid\u2013structure interaction analyses are still scarcely utilized to study aortic valves, computational fluid dynamics is used to assess the effect of different aortic valve morphologies on velocity profiles, flow patterns, helicity, wall shear stress, and oscillatory shear index in the thoracic aorta. It has been analyzed that computational flow dynamic analyses can be integrated with other methods to create a superior, more compatible method of understanding risk and compatibility.<\/jats:p>","DOI":"10.3390\/ma15093302","type":"journal-article","created":{"date-parts":[[2022,5,5]],"date-time":"2022-05-05T13:10:26Z","timestamp":1651756226000},"page":"3302","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":31,"title":["Clinical Impact of Computational Heart Valve Models"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2154-3728","authenticated-orcid":false,"given":"Milan","family":"Toma","sequence":"first","affiliation":[{"name":"Department of Osteopathic Manipulative Medicine, New York Institute of Technology College of Osteopathic Medicine, Northern Boulevard, P.O. Box 8000, Old Westbury, NY 11568, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6069-2668","authenticated-orcid":false,"given":"Shelly","family":"Singh-Gryzbon","sequence":"additional","affiliation":[{"name":"Wallace H. Coulter School of Biomedical Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Elisabeth","family":"Frankini","sequence":"additional","affiliation":[{"name":"Department of Osteopathic Manipulative Medicine, New York Institute of Technology College of Osteopathic Medicine, Northern Boulevard, P.O. Box 8000, Old Westbury, NY 11568, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0967-4610","authenticated-orcid":false,"given":"Zhenglun (Alan)","family":"Wei","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, Francis College of Engineering, University of Massachusetts Lowell, Lowell, MA 01854, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ajit P.","family":"Yoganathan","sequence":"additional","affiliation":[{"name":"Wallace H. Coulter School of Biomedical Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,5,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"e3435","DOI":"10.1002\/cnm.3435","article-title":"Polygonal surface processing and mesh generation tools for the numerical simulation of the cardiac function","volume":"37","author":"Fedele","year":"2021","journal-title":"Int. J. Numer. Methods Biomed. Eng."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Stephens, S.E., Kammien, A.J., Paris, J.C., Applequist, A.P., Ingels, N.B., Jensen, H.K., Rodgers, D.E., Cole, C.R., Wenk, J.F., and Jensen, M.O. (2022). In Vitro Mitral Valve Model with Unrestricted Ventricular Access: Using Vacuum to Close the Valve and Enable Static Trans-Mitral Pressure. J. Cardiovasc. Transl. Res., 1\u201310.","DOI":"10.1007\/s12265-021-10199-5"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"79","DOI":"10.3389\/fbioe.2016.00079","article-title":"Mechanobiology in Cardiovascular Disease Management: Potential Strategies and Current Needs","volume":"4","author":"Atkins","year":"2016","journal-title":"Front. Bioeng. Biotechnol."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.1749-6632.2008.04320.x","article-title":"Advances in Cardiovascular Fluid Mechanics: Bench to Bedside","volume":"1161","author":"Dasi","year":"2009","journal-title":"Ann. N. Y. Acad. Sci."},{"key":"ref_5","first-page":"71","article-title":"The Intricacies of Computational Medical Research: An Advanced Study Approach","volume":"4","author":"Toma","year":"2021","journal-title":"Recent Dev. Med. Med. Res."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1007\/s13239-018-0349-y","article-title":"Computational Fluid Dynamics Assessment Associated with Transcatheter Heart Valve Prostheses: A Position Paper of the ISO Working Group","volume":"9","author":"Wei","year":"2018","journal-title":"Cardiovasc. Eng. Technol."},{"key":"ref_7","unstructured":"Food and Drug Administration (2022). Assessing the Credibility of Computational Modeling and Simulation in Medical Device Submissions, Draft Guidance for Industry and Food and Drug Administration Staff."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Ammarullah, M.I., Afif, I.Y., Maula, M.I., Winarni, T.I., Tauviqirrahman, M., Akbar, I., Basri, H., van der Heide, E., and Jamari, J. (2021). Tresca Stress Simulation of Metal-on-Metal Total Hip Arthroplasty during Normal Walking Activity. Materials, 14.","DOI":"10.3390\/ma14247554"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Jamari, J., Ammarullah, M., Saad, A., Syahrom, A., Uddin, M., van der Heide, E., and Basri, H. (2021). The Effect of Bottom Profile Dimples on the Femoral Head on Wear in Metal-on-Metal Total Hip Arthroplasty. J. Funct. Biomater., 12.","DOI":"10.3390\/jfb12020038"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1682","DOI":"10.1093\/cvr\/cvab138","article-title":"Computational models of atrial fibrillation: Achievements, challenges, and perspectives for improving clinical care","volume":"117","author":"Heijman","year":"2021","journal-title":"Cardiovasc. Res."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/s12265-018-9787-z","article-title":"Clinical Applications of Patient-Specific Models: The Case for a Simple Approach","volume":"11","author":"Holmes","year":"2018","journal-title":"J. Cardiovasc. Transl. Res."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1958","DOI":"10.1093\/eurheartj\/ehq222","article-title":"Degenerative mitral valve regurgitation: Best practice revolution","volume":"31","author":"Adams","year":"2010","journal-title":"Eur. Heart J."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/j.ejcts.2007.03.035","article-title":"Artificial chordae for pediatric mitral and tricuspid valve repair","volume":"32","author":"Boon","year":"2007","journal-title":"Eur. J. Cardio-Thorac. Surg."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1619","DOI":"10.1007\/s10237-016-0786-1","article-title":"High-resolution subject-specific mitral valve imaging and modeling: Experimental and computational methods","volume":"15","author":"Toma","year":"2016","journal-title":"Biomech. Model. Mechanobiol."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1422","DOI":"10.1007\/s10439-019-02243-y","article-title":"Development of a Computational Method for Simulating Tricuspid Valve Dynamics","volume":"47","author":"Sadri","year":"2019","journal-title":"Ann. Biomed. Eng."},{"key":"ref_16","unstructured":"Watton, P., Luo, X., Singleton, R., Wang, X., Bernacca, G., Molloy, P., and Wheatley, D. (2004, January 1\u20135). Modelling Chorded Prosthetic Mitral Valves using the Immersed Boundary Method. Proceedings of the 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, San Francisco, CA, USA."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1093\/ejcts\/ezt421","article-title":"Outcomes of mitral valve repair using artificial chordae","volume":"45","author":"Ibrahim","year":"2013","journal-title":"Eur. J. Cardio-Thorac. Surg."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/S0022-5223(94)70215-2","article-title":"Seven-year experience with chordal replacement with expanded polytetrafluoroethylene in floppy mitral valve","volume":"108","author":"Zussa","year":"1994","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"619","DOI":"10.1007\/s10439-016-1727-y","article-title":"Fluid-Structure Interaction Analysis of Ruptured Mitral Chordae Tendineae","volume":"45","author":"Toma","year":"2016","journal-title":"Ann. Biomed. Eng."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1016\/0003-4975(90)90476-M","article-title":"Artificial mitral valve chorde: Experimental and clinical experience","volume":"50","author":"Zussa","year":"1990","journal-title":"Ann. Thorac. Surg."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1590\/S1807-59322006000500005","article-title":"Study of the traction resistance of mitral valve chordae tendineae","volume":"61","author":"Lobo","year":"2006","journal-title":"Clinics"},{"key":"ref_22","first-page":"440","article-title":"Recurrent mitral regurgitation due to ruptured artificial chordae: Case report and review of the literature","volume":"21","author":"Bortolotti","year":"2012","journal-title":"J. Heart Valve Dis."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.jtcvs.2013.07.036","article-title":"Chordal cutting in ischemic mitral regurgitation: A propensity-matched study","volume":"148","author":"Calafiore","year":"2014","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1111\/j.1540-8191.2007.00503.x","article-title":"Chordal Cutting VIA Aortotomy in Ischemic Mitral Regurgitation: Surgical and Echocardiographic Study","volume":"23","author":"Fayad","year":"2008","journal-title":"J. Card. Surg."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2019","DOI":"10.1016\/j.athoracsur.2007.11.083","article-title":"Implantation of Gore-Tex Chordae on Aortic Valve Leaflet to Treat Prolapse Using \u201cThe Chordae Technique\u201d: Surgical Aspects and Clinical Results","volume":"85","author":"Fattouch","year":"2008","journal-title":"Ann. Thorac. Surg."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1016\/j.ejcts.2007.12.006","article-title":"Preservation of the mitral valve apparatus: Evidence synthesis and critical reappraisal of surgical techniques","volume":"33","author":"Athanasiou","year":"2008","journal-title":"Eur. J. Cardio-Thorac. Surg."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1016\/S0003-4975(01)02783-7","article-title":"Influence of anterior mitral leaflet second-order chordae on leaflet dynamics and valve competence","volume":"72","author":"Nielsen","year":"2001","journal-title":"Ann. Thorac. Surg."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1093\/icvts\/ivv014","article-title":"Acute safety and efficacy of the NeoChord procedure","volume":"20","author":"Colli","year":"2015","journal-title":"Interact. Cardiovasc. Thorac. Surg."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1482","DOI":"10.1016\/S0003-4975(02)03950-4","article-title":"Reoperative mitral valve replacement: Importance of preservation of the subvalvular apparatus","volume":"74","author":"Yau","year":"2002","journal-title":"Ann. Thorac. Surg."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1675","DOI":"10.1016\/j.jtcvs.2005.07.042","article-title":"Strut chordal-sparing mitral valve replacement preserves long-term left ventricular shape and function in pigs","volume":"130","author":"Smerup","year":"2005","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1715","DOI":"10.1016\/j.athoracsur.2009.03.003","article-title":"Chordae Replacement Versus Resection for Repair of Isolated Posterior Mitral Leaflet Prolapse: \u00c0 \u00c8galit\u00e9","volume":"87","author":"Seeburger","year":"2009","journal-title":"Ann. Thorac. Surg."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1828","DOI":"10.1016\/j.athoracsur.2009.08.008","article-title":"Mitral Valve Repair for Degenerative Disease: A 20-Year Experience","volume":"88","author":"Daneshmand","year":"2009","journal-title":"Ann. Thorac. Surg."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1350","DOI":"10.1016\/S0022-5223(02)73274-1","article-title":"Repair versus replacement for degenerative mitral valve disease with coexisting ischemic heart disease","volume":"125","author":"Gillinov","year":"2003","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1016\/j.jtcvs.2007.06.040","article-title":"Durability of mitral valve repair in Barlow disease versus fibroelastic deficiency","volume":"135","author":"Flameng","year":"2008","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1093\/icvts\/ivu441","article-title":"A 25-year study of chordal replacement with expanded polytetrafluoroethylene in mitral valve repair","volume":"20","author":"Hata","year":"2014","journal-title":"Interact. Cardiovasc. Thorac. Surg."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"2033","DOI":"10.1016\/j.jtcvs.2014.03.045","article-title":"Long-term outcomes of artificial chordal replacement with tourniquet technique in mitral valve repair: A single-center experience of 700 cases","volume":"148","author":"Tabata","year":"2014","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_37","first-page":"657","article-title":"Replacement of chordae tendineae with polytetrafluoroethylene (PTFE) sutures in mitral valve repair: Early and long-term results","volume":"15","author":"Chiappini","year":"2006","journal-title":"J. Heart Valve Dis."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1093\/icvts\/ivv004","article-title":"eComment. Let\u2019s get real: The problem is how to safely measure the neochordae","volume":"20","year":"2015","journal-title":"Interact. Cardiovasc. Thorac. Surg."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"731","DOI":"10.21037\/acs.2018.09.09","article-title":"Transcatheter mitral valve chord repair","volume":"7","author":"Savic","year":"2018","journal-title":"Ann. Cardiothorac. Surg."},{"key":"ref_40","first-page":"840","article-title":"Beating-heart implantation of adjustable length mitral valve chordae: Acute and chronic experience in an animal model","volume":"40","author":"Maisano","year":"2011","journal-title":"Eur. J. Cardio-Thorac. Surg."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"S78","DOI":"10.1016\/j.jtcvs.2011.09.031","article-title":"Ideal site for ventricular anchoring of artificial chordae in mitral regurgitation","volume":"143","author":"Weber","year":"2012","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_42","first-page":"524","article-title":"Surgical relocation of the papillary muscles in functional ischemic mitral regurgitation: What are the forces of the relocation stitches acting on the myocardium?","volume":"22","author":"Jensen","year":"2013","journal-title":"J. Heart Valve Dis."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"908","DOI":"10.1016\/j.jbiomech.2011.11.034","article-title":"External approach to in vivo force measurement on mitral valve traction suture","volume":"45","author":"Jensen","year":"2012","journal-title":"J. Biomech."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1016\/j.athoracsur.2010.04.060","article-title":"Papillary Muscle Repositioning in Valve Replacement for Left Ventricular Dysfunction: Ischemic Mitral Regurgitation","volume":"90","author":"Yousefnia","year":"2010","journal-title":"Ann. Thorac. Surg."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"1895","DOI":"10.1016\/j.athoracsur.2004.11.005","article-title":"Ischemic Mitral Regurgitation: Revascularization Alone Versus Revascularization and Mitral Valve Repair","volume":"79","author":"Kim","year":"2005","journal-title":"Ann. Thorac. Surg."},{"key":"ref_46","doi-asserted-by":"crossref","unstructured":"Toma, M., Einstein, D.R., Kohli, K., Caroll, S.L., Iv, C.H.B., Cochran, R.P., Kunzelman, K.S., Yoganathan, A.P., and Bloodworth, C. (2020). Effect of Edge-to-Edge Mitral Valve Repair on Chordal Strain: Fluid-Structure Interaction Simulations. Biology, 9.","DOI":"10.3390\/biology9070173"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"1562","DOI":"10.1016\/j.jtcvs.2007.08.037","article-title":"A saddle-shaped annulus reduces systolic strain on the central region of the mitral valve anterior leaflet","volume":"134","author":"Jimenez","year":"2007","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"224","DOI":"10.37616\/2212-5043.1027","article-title":"The Carpentier-Edwards Classic And Physio Annuloplasty Rings in Repair of Degenerative Mitral Valve Disease: A Retrospective Study","volume":"32","author":"Sidiki","year":"2020","journal-title":"J. Saudi Heart Assoc."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"1276","DOI":"10.1016\/j.athoracsur.2004.09.035","article-title":"Midterm Outcomes Using the Physio Ring in Mitral Valve Reconstruction: Experience in 492 Patients","volume":"79","author":"Accola","year":"2005","journal-title":"Ann. Thorac. Surg."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"654","DOI":"10.1016\/j.jtcvs.2003.09.036","article-title":"Does septal-lateral annular cinching work for chronic ischemic mitral regurgitation?","volume":"127","author":"Rodriguez","year":"2004","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_51","doi-asserted-by":"crossref","unstructured":"2006 WRITING COMMITTEE MEMBERS, Bonow, R.O., Carabello, B.A., Chatterjee, K., De Leon, A.C., Faxon, D.P., Freed, M.D., Gaasch, W.H., Lytle, B.W., and Nishimura, R.A. (2008). 2008 Focused Update Incorporated Into the ACC\/AHA 2006 Guidelines for the Management of Patients with Valvular Heart Disease. Circulation, 118, e523\u2013e661.","DOI":"10.1161\/CIRCULATIONAHA.108.190748"},{"key":"ref_52","first-page":"7","article-title":"Mitral valve repair as an alternative treatment for heart failure patients","volume":"4","author":"Romano","year":"2003","journal-title":"Heart Fail. Monit."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"916","DOI":"10.1016\/j.jtcvs.2004.07.037","article-title":"Recurrent mitral regurgitation after annuloplasty for functional ischemic mitral regurgitation","volume":"128","author":"McGee","year":"2004","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"II-85","DOI":"10.1161\/01.CIR.0000138192.65015.45","article-title":"Mechanism of Recurrent Ischemic Mitral Regurgitation After Annuloplasty","volume":"110","author":"Hung","year":"2004","journal-title":"Circulation"},{"key":"ref_55","first-page":"390","article-title":"Failure of reduction annuloplasty for functional ischemic mitral regurgitation","volume":"13","author":"Matsunaga","year":"2004","journal-title":"J. Heart Valve Dis."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1093\/eurheartj\/ehm468","article-title":"Five-year echocardiographic results of combined undersized mitral ring annuloplasty and coronary artery bypass grafting for chronic ischaemic mitral regurgitation","volume":"29","author":"Gelsomino","year":"2007","journal-title":"Eur. Heart J."},{"key":"ref_57","first-page":"11","article-title":"Outcome after mitral valve repair for functional ischemic mitral regurgitation","volume":"11","author":"Oury","year":"2002","journal-title":"J. Heart Valve Dis."},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"958","DOI":"10.1016\/j.athoracsur.2006.08.045","article-title":"Papillary Muscle Repositioning in Mitral Valve Replacement in Patients With Left Ventricular Dysfunction","volume":"83","author":"Yousefnia","year":"2007","journal-title":"Ann. Thorac. Surg."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1186\/1476-7120-5-17","article-title":"Rest and Dobutamine stress echocardiography in the evaluation of mid-term results of mitral valve repair in Barlow\u2019s disease","volume":"5","author":"Minardi","year":"2007","journal-title":"Cardiovasc. Ultrasound"},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"532","DOI":"10.1016\/j.ejcts.2009.03.058","article-title":"Comparison of outcomes of minimally invasive mitral valve surgery for posterior, anterior and bileaflet prolapse","volume":"36","author":"Seeburger","year":"2009","journal-title":"Eur. J. Cardio-Thorac. Surg."},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1016\/j.jtcvs.2004.10.016","article-title":"Midterm results of mitral valve repair with artificial chordae in children","volume":"129","author":"Minami","year":"2005","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"1578","DOI":"10.1016\/j.athoracsur.2007.05.086","article-title":"Efficacy of the Edge-to-Edge Repair in the Setting of a Dilated Ventricle: An In Vitro Study","volume":"84","author":"Croft","year":"2007","journal-title":"Ann. Thorac. Surg."},{"key":"ref_63","first-page":"375","article-title":"Mitral valve repair: An in-vitro comparison of the effect of surgical repair on the pressure required to cause mitral valve regurgitation","volume":"15","author":"Espino","year":"2006","journal-title":"J. Heart Valve Dis."},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1093\/icvts\/ivaa270","article-title":"Mitral valve surgery after a failed MitraClip procedure","volume":"32","author":"Melillo","year":"2020","journal-title":"Interact. Cardiovasc. Thorac. Surg."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"1635","DOI":"10.1016\/j.jtcvs.2012.07.062","article-title":"Significance of force transfer in mitral valve\u2013left ventricular interaction: In vivo assessment","volume":"145","author":"Askov","year":"2013","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"942","DOI":"10.1007\/s10439-015-1385-5","article-title":"Fluid\u2013Structure Interaction Analysis of Papillary Muscle Forces Using a Comprehensive Mitral Valve Model with 3D Chordal Structure","volume":"44","author":"Toma","year":"2015","journal-title":"Ann. Biomed. Eng."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"1579","DOI":"10.1016\/S0003-4975(98)00947-3","article-title":"Degenerative mitral regurgitation: When should we operate?","volume":"66","author":"Bryant","year":"1998","journal-title":"Ann. Thorac. Surg."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"1382","DOI":"10.1016\/S0140-6736(09)60692-9","article-title":"Mitral regurgitation","volume":"373","author":"Akins","year":"2009","journal-title":"Lancet"},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"1609","DOI":"10.1161\/01.CIR.0000058703.26715.9D","article-title":"Recurrence of Mitral Valve Regurgitation After Mitral Valve Repair in Degenerative Valve Disease","volume":"107","author":"Flameng","year":"2003","journal-title":"Circulation"},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1007\/s00246-011-9939-2","article-title":"Acute Progressive Mitral Regurgitation Resulting From Chordal Rupture in Infants","volume":"32","author":"Asakai","year":"2011","journal-title":"Pediatr. Cardiol."},{"key":"ref_71","first-page":"e201703","article-title":"Primary mitral valve regurgitation: Update and review","volume":"2017","author":"Maslow","year":"2017","journal-title":"Glob. Cardiol. Sci. Pract."},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1007\/s11886-005-0019-1","article-title":"Mitral valve repair: We must do a better job","volume":"7","author":"Northrup","year":"2005","journal-title":"Curr. Cardiol. Rep."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"1390","DOI":"10.1016\/j.jtcvs.2006.07.018","article-title":"Recurrent mitral regurgitation after repair: Should the mitral valve be re-repaired?","volume":"132","author":"Suri","year":"2006","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"774","DOI":"10.1093\/ejcts\/ezy111","article-title":"Re-repair of the failed mitral valve: Insights into aetiology and surgical management","volume":"54","author":"Aphram","year":"2018","journal-title":"Eur. J. Cardio-Thorac. Surg."},{"key":"ref_75","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1093\/icvts\/ivu066","article-title":"Mitral valve repair versus replacement in patients with ischaemic mitral regurgitation and depressed ejection fraction: Risk factors for early and mid-term mortality","volume":"19","author":"Lio","year":"2014","journal-title":"Interact. Cardiovasc. Thorac. Surg."},{"key":"ref_76","doi-asserted-by":"crossref","first-page":"748","DOI":"10.1053\/j.semtcvs.2016.09.001","article-title":"Similar Survival After Repair vs Replacement for Ischemic Mitral Regurgitation","volume":"28","author":"Takagi","year":"2016","journal-title":"Semin. Thorac. Cardiovasc. Surg."},{"key":"ref_77","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1053\/j.optechstcvs.2020.09.004","article-title":"Techniques for Mitral Valve Re-repair","volume":"26","author":"Gillinov","year":"2021","journal-title":"Oper. Tech. Thorac. Cardiovasc. Surg."},{"key":"ref_78","doi-asserted-by":"crossref","first-page":"304","DOI":"10.1186\/s13019-020-01344-3","article-title":"Mitral valve re-repair vs replacement following failed initial repair: A systematic review and meta-analysis","volume":"15","author":"Veerappan","year":"2020","journal-title":"J. Cardiothorac. Surg."},{"key":"ref_79","doi-asserted-by":"crossref","first-page":"1735","DOI":"10.1016\/j.athoracsur.2009.03.009","article-title":"Extending the Scope of Mitral Valve Repair in Rheumatic Disease","volume":"87","author":"Boodhwani","year":"2009","journal-title":"Ann. Thorac. Surg."},{"key":"ref_80","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s11886-017-0813-6","article-title":"Surgical Treatment of Ischemic Mitral Regurgitation: Valve Repair Versus Replacement","volume":"19","author":"Sharma","year":"2017","journal-title":"Curr. Cardiol. Rep."},{"key":"ref_81","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/s13239-016-0276-8","article-title":"Biomechanical Behavior of Bioprosthetic Heart Valve Heterograft Tissues: Characterization, Simulation, and Performance","volume":"7","author":"Soares","year":"2016","journal-title":"Cardiovasc. Eng. Technol."},{"key":"ref_82","doi-asserted-by":"crossref","first-page":"213","DOI":"10.21037\/cdt-20-285","article-title":"Organ-saving surgical alternatives to treatment of heart failure","volume":"11","author":"Hetzer","year":"2021","journal-title":"Cardiovasc. Diagn. Ther."},{"key":"ref_83","doi-asserted-by":"crossref","first-page":"5654324","DOI":"10.1155\/2019\/5654324","article-title":"Serum-Free Manufacturing of Mesenchymal Stem Cell Tissue Rings Using Human-Induced Pluripotent Stem Cells","volume":"2019","author":"Winston","year":"2019","journal-title":"Stem Cells Int."},{"key":"ref_84","doi-asserted-by":"crossref","first-page":"586406","DOI":"10.3389\/fbioe.2020.586406","article-title":"Toward Biomimetic Scaffolds for Tissue Engineering: 3D Printing Techniques in Regenerative Medicine","volume":"8","author":"Chung","year":"2020","journal-title":"Front. Bioeng. Biotechnol."},{"key":"ref_85","doi-asserted-by":"crossref","first-page":"28","DOI":"10.22203\/eCM.v006a04","article-title":"Living artificial heart valve alternatives: A review","volume":"6","author":"Flanagan","year":"2003","journal-title":"Eur. Cells Mater."},{"key":"ref_86","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1089\/ten.teb.2017.0425","article-title":"Tissue-Engineered Heart Valves: A Call for Mechanistic Studies","volume":"24","author":"Blum","year":"2018","journal-title":"Tissue Eng. Part B Rev."},{"key":"ref_87","doi-asserted-by":"crossref","first-page":"eaat5850","DOI":"10.1126\/scitranslmed.aat5850","article-title":"The root problem of heart valve engineering","volume":"10","author":"Butcher","year":"2018","journal-title":"Sci. Transl. Med."},{"key":"ref_88","doi-asserted-by":"crossref","first-page":"eaan4587","DOI":"10.1126\/scitranslmed.aan4587","article-title":"Computational modeling guides tissue-engineered heart valve design for long-term in vivo performance in a translational sheep model","volume":"10","author":"Emmert","year":"2018","journal-title":"Sci. Transl. Med."},{"key":"ref_89","doi-asserted-by":"crossref","first-page":"2189","DOI":"10.1093\/eurheartj\/ehr259","article-title":"EAE\/ASE recommendations for the use of echocardiography in new transcatheter interventions for valvular heart disease","volume":"32","author":"Zamorano","year":"2011","journal-title":"Eur. Heart J."},{"key":"ref_90","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/j.jjcc.2016.09.015","article-title":"Role of echocardiography for catheter-based management of valvular heart disease","volume":"69","author":"Shiota","year":"2017","journal-title":"J. Cardiol."},{"key":"ref_91","doi-asserted-by":"crossref","first-page":"300060521997621","DOI":"10.1177\/0300060521997621","article-title":"Comparison of the effective orifice area of prosthetic mitral valves using two-dimensional versus three-dimensional transesophageal echocardiography","volume":"49","author":"Zhou","year":"2021","journal-title":"J. Int. Med. Res."},{"key":"ref_92","first-page":"86","article-title":"The role of echocardiography and CT angiography in transcatheter aortic valve implantation patients","volume":"15","author":"Chourdakis","year":"2018","journal-title":"J. Geriatr. Cardiol."},{"key":"ref_93","doi-asserted-by":"crossref","first-page":"726","DOI":"10.1016\/j.jtcvs.2008.02.073","article-title":"A methodology for assessing human mitral leaflet curvature using real-time 3-dimensional echocardiography","volume":"136","author":"Ryan","year":"2008","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_94","doi-asserted-by":"crossref","unstructured":"Tamborini, G., Mantegazza, V., Garlasch\u00e8, A., Muratori, M., Fusini, L., Ali, S.G., Cefal\u00f9, C., Italiano, G., Gripari, P., and Maltagliati, A. (2021). Head to Head Comparison between Different 3-Dimensional Echocardiographic Rendering Tools in the Imaging of Percutaneous Edge-to-Edge Mitral Valve Repair. J. Cardiovasc. Dev. Dis., 8.","DOI":"10.3390\/jcdd8070073"},{"key":"ref_95","doi-asserted-by":"crossref","first-page":"1527","DOI":"10.1016\/j.athoracsur.2008.01.061","article-title":"Mitral Valve Abnormalities in Hypertrophic Cardiomyopathy: Echocardiographic Features and Surgical Outcomes","volume":"85","author":"Kaple","year":"2008","journal-title":"Ann. Thorac. Surg."},{"key":"ref_96","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1016\/j.jcct.2020.04.007","article-title":"Predicting paravalvular leak after transcatheter mitral valve replacement using commercially available software modeling","volume":"14","author":"Morris","year":"2020","journal-title":"J. Cardiovasc. Comput. Tomogr."},{"key":"ref_97","doi-asserted-by":"crossref","first-page":"773","DOI":"10.3348\/kjr.2017.18.5.773","article-title":"A Review of the Use of Cardiac Computed Tomography for Evaluating the Mitral Valve before and after Mitral Valve Repair","volume":"18","author":"Kim","year":"2017","journal-title":"Korean J. Radiol."},{"key":"ref_98","doi-asserted-by":"crossref","first-page":"2844","DOI":"10.1016\/j.jacc.2015.10.018","article-title":"Randomized Comparison of Percutaneous Repair and Surgery for Mitral Regurgitation","volume":"66","author":"Feldman","year":"2015","journal-title":"J. Am. Coll. Cardiol."},{"key":"ref_99","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1007\/s11886-021-01574-4","article-title":"Mitral Valve Annuloplasty Failure and Percutaneous Treatment Options","volume":"23","author":"Joseph","year":"2021","journal-title":"Curr. Cardiol. Rep."},{"key":"ref_100","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1016\/j.jacc.2010.04.030","article-title":"Anatomy of the Mitral Valvular Complex and Its Implications for Transcatheter Interventions for Mitral Regurgitation","volume":"56","author":"Piazza","year":"2010","journal-title":"J. Am. Coll. Cardiol."},{"key":"ref_101","doi-asserted-by":"crossref","first-page":"U106","DOI":"10.4244\/EIJV10SUA15","article-title":"Mitral valve anatomy: Implications for transcatheter mitral valve interventions","volume":"10","author":"Zamorano","year":"2014","journal-title":"EuroIntervention"},{"key":"ref_102","first-page":"28","article-title":"Percutaneous mitral valve dilatation: Single balloon versus double balloon. A finite element study","volume":"18","author":"Schievano","year":"2009","journal-title":"J. Heart Valve Dis."},{"key":"ref_103","doi-asserted-by":"crossref","first-page":"251","DOI":"10.4244\/EIJ-D-19-01051","article-title":"Screening for transcatheter mitral valve replacement: A decision tree algorithm","volume":"16","author":"Ludwig","year":"2020","journal-title":"EuroIntervention"},{"key":"ref_104","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1007\/s00059-021-05055-w","article-title":"Current devices and interventions in mitral regurgitation","volume":"46","author":"Koell","year":"2021","journal-title":"Herz"},{"key":"ref_105","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/s11886-021-01570-8","article-title":"Tricuspid Annuloplasty: Transcatheter Approaches","volume":"23","author":"Arnold","year":"2021","journal-title":"Curr. Cardiol. Rep."},{"key":"ref_106","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1007\/s11886-018-0960-4","article-title":"Role of MDCT Imaging in Planning Mitral Valve Intervention","volume":"20","author":"Grover","year":"2018","journal-title":"Curr. Cardiol. Rep."},{"key":"ref_107","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/s11936-018-0694-z","article-title":"Transcatheter Mitral Valve Planning and the Neo-LVOT: Utilization of Virtual Simulation Models and 3D Printing","volume":"20","author":"Kohli","year":"2018","journal-title":"Curr. Treat. Options Cardiovasc. Med."},{"key":"ref_108","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1016\/j.jcin.2018.12.001","article-title":"Predictors of Left Ventricular Outflow Tract Obstruction After Transcatheter Mitral Valve Replacement","volume":"12","author":"Yoon","year":"2019","journal-title":"JACC Cardiovasc. Interv."},{"key":"ref_109","doi-asserted-by":"crossref","first-page":"709","DOI":"10.1115\/1.1614817","article-title":"Numerical Simulation of Flow in Mechanical Heart Valves: Grid Resolution and the Assumption of Flow Symmetry","volume":"125","author":"Ge","year":"2003","journal-title":"J. Biomech. Eng."},{"key":"ref_110","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1016\/j.compstruc.2016.06.001","article-title":"Decomposition and parallelization of strongly coupled fluid-structure interaction linear subsystems based on the Q1\/P0 discretization","volume":"173","author":"Toma","year":"2016","journal-title":"J. Comput. Struct."},{"key":"ref_111","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1016\/j.medengphy.2017.06.042","article-title":"A coupled mitral valve\u2014left ventricle model with fluid\u2013structure interaction","volume":"47","author":"Gao","year":"2017","journal-title":"Med. Eng. Phys."},{"key":"ref_112","doi-asserted-by":"crossref","first-page":"e3254","DOI":"10.1002\/cnm.3254","article-title":"Analysis of a coupled fluid-structure interaction model of the left atrium and mitral valve","volume":"35","author":"Feng","year":"2019","journal-title":"Int. J. Numer. Methods Biomed. Eng."},{"key":"ref_113","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1016\/0021-9991(77)90100-0","article-title":"Numerical analysis of blood flow in the heart","volume":"25","author":"Peskin","year":"1977","journal-title":"J. Comput. Phys."},{"key":"ref_114","doi-asserted-by":"crossref","first-page":"1182","DOI":"10.1114\/1.1615577","article-title":"Effect of Stenosis Asymmetry on Blood Flow and Artery Compression: A Three-Dimensional Fluid-Structure Interaction Model","volume":"31","author":"Tang","year":"2003","journal-title":"Ann. Biomed. Eng."},{"key":"ref_115","doi-asserted-by":"crossref","first-page":"213","DOI":"10.3233\/XST-17255","article-title":"Computational evaluation of smoothed particle hydrodynamics for implementing blood flow modelling through CT reconstructed arteries","volume":"25","author":"Wong","year":"2017","journal-title":"J. Ray Sci. Technol."},{"key":"ref_116","unstructured":"Nasar, A. (2016). Eulerian and Lagrangian Smoothed Particle Hydrodynamics as Models for the Interaction of Fluids and Flexible Structures in Biomedical Flows. [Ph.D. Thesis, The University of Manchester (United Kingdom), PQDT-UK & Ireland]."},{"key":"ref_117","doi-asserted-by":"crossref","first-page":"1431","DOI":"10.1016\/j.nonrwa.2006.05.007","article-title":"Fluid-structure interaction with applications in biomechanics","volume":"8","author":"Hron","year":"2007","journal-title":"Nonlinear Anal. Real World Appl."},{"key":"ref_118","first-page":"831","article-title":"Application of Smooth Particle Hydrodynamics Method for Modelling Blood Flow with Thrombus Formation","volume":"122","author":"Suarez","year":"2020","journal-title":"Comput. Model. Eng. Sci."},{"key":"ref_119","doi-asserted-by":"crossref","unstructured":"Le, T.B., Usta, M., Aidun, C., Yoganathan, A., and Sotiropoulos, F. (2022). Computational Methods for Fluid-Structure Interaction Simulation of Heart Valves in Patient-Specific Left Heart Anatomies. Fluids, 7.","DOI":"10.3390\/fluids7030094"},{"key":"ref_120","doi-asserted-by":"crossref","first-page":"121901","DOI":"10.1063\/1.4904094","article-title":"Effect of the mitral valve on diastolic flow patterns","volume":"26","author":"Seo","year":"2014","journal-title":"Phys. Fluids"},{"key":"ref_121","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1299\/jbse.5.78","article-title":"Computer and Experimental Modelling of Blood Flow through the Mitral Valve of the Heart","volume":"5","author":"Espino","year":"2010","journal-title":"J. Biomech. Sci. Eng."},{"key":"ref_122","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/s13239-014-0201-y","article-title":"Asymptotic Model of Fluid\u2013Tissue Interaction for Mitral Valve Dynamics","volume":"6","author":"Domenichini","year":"2014","journal-title":"Cardiovasc. Eng. Technol."},{"key":"ref_123","doi-asserted-by":"crossref","first-page":"6187","DOI":"10.1038\/s41598-018-24469-x","article-title":"Synergy between Diastolic Mitral Valve Function and Left Ventricular Flow Aids in Valve Closure and Blood Transport during Systole","volume":"8","author":"Govindarajan","year":"2018","journal-title":"Sci. Rep."},{"key":"ref_124","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/j.jbiomech.2016.11.039","article-title":"Patient-specific CFD models for intraventricular flow analysis from 3D ultrasound imaging: Comparison of three clinical cases","volume":"50","author":"Bavo","year":"2016","journal-title":"J. Biomech."},{"key":"ref_125","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1177\/0267659118811045","article-title":"Development of a fluid-structure interaction model to simulate mitral valve malcoaptation","volume":"34","author":"Hassani","year":"2018","journal-title":"Perfusion"},{"key":"ref_126","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/j.compbiomed.2018.11.024","article-title":"Intraventricular blood flow with a fully dynamic mitral valve model","volume":"104","author":"Khalafvand","year":"2018","journal-title":"Comput. Biol. Med."},{"key":"ref_127","doi-asserted-by":"crossref","first-page":"e3142","DOI":"10.1002\/cnm.3142","article-title":"A noninvasive method for the determination of in vivo mitral valve leaflet strains","volume":"34","author":"Rego","year":"2018","journal-title":"Int. J. Numer. Methods Biomed. Eng."},{"key":"ref_128","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1007\/s10237-020-01379-4","article-title":"Quantification of load-dependent changes in the collagen fiber architecture for the strut chordae tendineae-leaflet insertion of porcine atrioventricular heart valves","volume":"20","author":"Ross","year":"2020","journal-title":"Biomech. Model. Mechanobiol."},{"key":"ref_129","doi-asserted-by":"crossref","first-page":"e2815","DOI":"10.1002\/cnm.2815","article-title":"Fluid-structure interaction and structural analyses using a comprehensive mitral valve model with 3D chordal structure","volume":"33","author":"Toma","year":"2016","journal-title":"Int. J. Numer. Methods Biomed. Eng."},{"key":"ref_130","doi-asserted-by":"crossref","unstructured":"Mao, W., Caballero, A., McKay, R., Primiano, C., and Sun, W. (2017). Fully-coupled fluid-structure interaction simulation of the aortic and mitral valves in a realistic 3D left ventricle model. PLoS ONE, 12.","DOI":"10.1371\/journal.pone.0184729"},{"key":"ref_131","doi-asserted-by":"crossref","first-page":"17306","DOI":"10.1038\/s41598-018-35555-5","article-title":"New insights into mitral heart valve prolapse after chordae rupture through fluid\u2013structure interaction computational modeling","volume":"8","author":"Caballero","year":"2018","journal-title":"Sci. Rep."},{"key":"ref_132","doi-asserted-by":"crossref","first-page":"H547","DOI":"10.1152\/ajpheart.00367.2019","article-title":"Comparative quantification of primary mitral regurgitation by computer modeling and simulated echocardiography","volume":"318","author":"Mao","year":"2020","journal-title":"Am. J. Physiol. Circ. Physiol."},{"key":"ref_133","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/j.medengphy.2019.09.020","article-title":"A workflow for patient-specific fluid\u2013structure interaction analysis of the mitral valve: A proof of concept on a mitral regurgitation case","volume":"74","author":"Biffi","year":"2019","journal-title":"Med. Eng. Phys."},{"key":"ref_134","doi-asserted-by":"crossref","first-page":"65","DOI":"10.3390\/prosthesis2020007","article-title":"Fluid-Structure Interaction Analysis of Subject-Specific Mitral Valve Regurgitation Treatment with an Intra-Valvular Spacer","volume":"2","author":"Toma","year":"2020","journal-title":"Prosthesis"},{"key":"ref_135","doi-asserted-by":"crossref","first-page":"432","DOI":"10.3389\/fphys.2020.00432","article-title":"A Comprehensive Engineering Analysis of Left Heart Dynamics After MitraClip in a Functional Mitral Regurgitation Patient","volume":"11","author":"Caballero","year":"2020","journal-title":"Front. Physiol."},{"key":"ref_136","doi-asserted-by":"crossref","first-page":"e3297","DOI":"10.1002\/cnm.3297","article-title":"Transapical mitral valve repair with neochordae implantation: FSI analysis of neochordae number and complexity of leaflet prolapse","volume":"36","author":"Caballero","year":"2019","journal-title":"Int. J. Numer. Methods Biomed. Eng."},{"key":"ref_137","doi-asserted-by":"crossref","first-page":"374","DOI":"10.1007\/s13239-016-0285-7","article-title":"Fluid\u2013Structure Interaction Study of Transcatheter Aortic Valve Dynamics Using Smoothed Particle Hydrodynamics","volume":"7","author":"Mao","year":"2016","journal-title":"Cardiovasc. Eng. Technol."},{"key":"ref_138","doi-asserted-by":"crossref","first-page":"20190355","DOI":"10.1098\/rsif.2019.0355","article-title":"The impact of balloon-expandable transcatheter aortic valve replacement on concomitant mitral regurgitation: A comprehensive computational analysis","volume":"16","author":"Caballero","year":"2019","journal-title":"J. R. Soc. Interface"},{"key":"ref_139","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1080\/24748706.2020.1740365","article-title":"The Impact of Self-Expandable Transcatheter Aortic Valve Replacement on Concomitant Functional Mitral Regurgitation: A Comprehensive Engineering Analysis","volume":"4","author":"Caballero","year":"2020","journal-title":"Struct. Heart"},{"key":"ref_140","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1016\/j.mechrescom.2019.04.009","article-title":"Tricuspid valve regurgitation decreases after mitraclip implantation: Fluid structure interaction simulation","volume":"97","author":"Dabiri","year":"2019","journal-title":"Mech. Res. Commun."},{"key":"ref_141","unstructured":"Durrwachter, J. (2016). Hemodynamics of the Left Ventricle: Validation of a Smoothed-Particle Hydrodynamics Fluid-Structure Interaction Model. [Master\u2019s Thesis, Georgia Institute of Technology]."},{"key":"ref_142","doi-asserted-by":"crossref","unstructured":"Yuan, Q., and Ye, X. (2014). A New Way to Simulate the Fluid Structure Interaction between the Bioprosthetic Heart Valve and Blood: FE-SPH Method; Mechanical Science and Engineering IV, Trans Tech Publications Ltd.","DOI":"10.4028\/www.scientific.net\/AMM.472.125"},{"key":"ref_143","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1177\/1556984521999362","article-title":"Numerical Biomechanics Models of the Interaction Between a Novel Transcatheter Mitral Valve Device and the Subvalvular Apparatus","volume":"16","author":"Marom","year":"2021","journal-title":"Innov. Technol. Tech. Cardiothorac. Vasc. Surg."},{"key":"ref_144","first-page":"495","article-title":"Geometric distribution of chordae tendineae: An important anatomic feature in mitral valve function","volume":"9","author":"He","year":"2000","journal-title":"J. Heart Valve Dis."},{"key":"ref_145","first-page":"M405","article-title":"Mechanical properties of basal and marginal mitral valve chordae tendineae","volume":"36","author":"Kunzelman","year":"1990","journal-title":"ASAIO Trans."},{"key":"ref_146","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1016\/j.jcct.2019.11.016","article-title":"Predicting the outcome of transcatheter mitral valve implantation using image-based computational models","volume":"14","author":"Alharbi","year":"2020","journal-title":"J. Cardiovasc. Comput. Tomogr."},{"key":"ref_147","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.medengphy.2020.05.018","article-title":"Simulation of left ventricular outflow tract (LVOT) obstruction in transcatheter mitral valve-in-ring replacement","volume":"82","author":"Pasta","year":"2020","journal-title":"Med. Eng. Phys."},{"key":"ref_148","doi-asserted-by":"crossref","first-page":"103922","DOI":"10.1016\/j.compbiomed.2020.103922","article-title":"An image-based computational hemodynamics study of the Systolic Anterior Motion of the mitral valve","volume":"123","author":"Fumagalli","year":"2020","journal-title":"Comput. Biol. Med."},{"key":"ref_149","doi-asserted-by":"crossref","first-page":"632","DOI":"10.21037\/atm-20-7960","article-title":"Hemodynamic testing using three-dimensional printing and computational fluid dynamics preoperatively may provide more information in mitral repair than traditional image dataset","volume":"9","author":"Wang","year":"2021","journal-title":"Ann. Transl. Med."},{"key":"ref_150","doi-asserted-by":"crossref","first-page":"110209","DOI":"10.1016\/j.jbiomech.2020.110209","article-title":"Impact of prosthetic mitral valve orientation on the ventricular flow field: Comparison using patient-specific computational fluid dynamics","volume":"116","author":"Lantz","year":"2020","journal-title":"J. Biomech."},{"key":"ref_151","doi-asserted-by":"crossref","first-page":"211464","DOI":"10.1098\/rsos.211464","article-title":"Numerical biomechanics modelling of indirect mitral annuloplasty treatments for functional mitral regurgitation","volume":"9","author":"Galili","year":"2022","journal-title":"R. Soc. Open Sci."},{"key":"ref_152","doi-asserted-by":"crossref","first-page":"606","DOI":"10.1016\/j.jtcvs.2017.09.132","article-title":"Patient-specific computational biomechanical modeling to guide mitral valve repair strategy: Practicality and value?","volume":"155","author":"Padala","year":"2018","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_153","doi-asserted-by":"crossref","first-page":"e2921","DOI":"10.1002\/cnm.2921","article-title":"A comprehensive pipeline for multi-resolution modeling of the mitral valve: Validation, computational efficiency, and predictive capability","volume":"34","author":"Drach","year":"2017","journal-title":"Int. J. Numer. Methods Biomed. Eng."},{"key":"ref_154","doi-asserted-by":"crossref","first-page":"378","DOI":"10.1007\/s10439-016-1775-3","article-title":"Mitral Valve Chordae Tendineae: Topological and Geometrical Characterization","volume":"45","author":"Khalighi","year":"2017","journal-title":"Ann. Biomed. Eng."},{"key":"ref_155","doi-asserted-by":"crossref","unstructured":"Toma, M., Chan-Akeley, R., Arias, J., Kurgansky, G., and Mao, W. (2021). Fluid\u2013Structure Interaction Analyses of Biological Systems Using Smoothed-Particle Hydrodynamics. Biology, 10.","DOI":"10.3390\/biology10030185"},{"key":"ref_156","doi-asserted-by":"crossref","unstructured":"Toma, M., and Chan-Akeley, R. (2020). Biofluid-Biostructure Interaction Analyses Using Comprehensive Patient-Specific Geometries. Proceedings of the Future Technologies Conference, Springer.","DOI":"10.1007\/978-3-030-63092-8_1"},{"key":"ref_157","doi-asserted-by":"crossref","first-page":"1482","DOI":"10.1016\/j.jbiomech.2016.03.021","article-title":"The impact of valve simplifications on left ventricular hemodynamics in a three dimensional simulation based on in vivo MRI data","volume":"49","author":"Imanparast","year":"2016","journal-title":"J. Biomech."},{"key":"ref_158","doi-asserted-by":"crossref","first-page":"e1880","DOI":"10.1002\/rcs.1880","article-title":"Fast image-based mitral valve simulation from individualized geometry","volume":"14","author":"Villard","year":"2018","journal-title":"Int. J. Med Robot. Comput. Assist. Surg."},{"key":"ref_159","first-page":"595","article-title":"Replication of left ventricular haemodynamics with a simple planar mitral valve model","volume":"65","author":"Daub","year":"2020","journal-title":"Biomed. Eng. Biomed. Tech."},{"key":"ref_160","doi-asserted-by":"crossref","unstructured":"Wojtas, K., Koz\u0142owski, M., Orciuch, W., and Makowski, \u0141. (2021). Computational Fluid Dynamics Simulations of Mitral Paravalvular Leaks in Human Heart. Materials, 14.","DOI":"10.3390\/ma14237354"},{"key":"ref_161","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1016\/j.media.2016.09.006","article-title":"Towards patient-specific modeling of mitral valve repair: 3D transesophageal echocardiography-derived parameter estimation","volume":"35","author":"Zhang","year":"2017","journal-title":"Med Image Anal."},{"key":"ref_162","doi-asserted-by":"crossref","first-page":"1741","DOI":"10.1007\/s11548-018-1831-6","article-title":"Extraction of open-state mitral valve geometry from CT volumes","volume":"13","author":"Tautz","year":"2018","journal-title":"Int. J. Comput. Assist. Radiol. Surg."},{"key":"ref_163","doi-asserted-by":"crossref","first-page":"115","DOI":"10.31661\/jbpe.v0i0.2001-1062","article-title":"Thresholding Segmentation Errors and Uncertainty with Patient-Specific Geometries","volume":"11","author":"Toma","year":"2021","journal-title":"J. Biomed. Phys. Eng."},{"key":"ref_164","doi-asserted-by":"crossref","first-page":"496","DOI":"10.1007\/s10439-016-1734-z","article-title":"Ex Vivo Methods for Informing Computational Models of the Mitral Valve","volume":"45","author":"Bloodworth","year":"2016","journal-title":"Ann. Biomed. Eng."},{"key":"ref_165","first-page":"1066","article-title":"On the chordae structure and dynamic behaviour of the mitral valve","volume":"83","author":"Feng","year":"2018","journal-title":"IMA J. Appl. Math."},{"key":"ref_166","doi-asserted-by":"crossref","first-page":"1687","DOI":"10.1007\/s11548-019-02012-1","article-title":"User-dependent variability in mitral valve segmentation and its impact on CFD-computed hemodynamic parameters","volume":"14","author":"Vellguth","year":"2019","journal-title":"Int. J. Comput. Assist. Radiol. Surg."},{"key":"ref_167","doi-asserted-by":"crossref","first-page":"e2858","DOI":"10.1002\/cnm.2858","article-title":"Modelling mitral valvular dynamics-current trend and future directions","volume":"33","author":"Gao","year":"2016","journal-title":"Int. J. Numer. Methods Biomed. Eng."},{"key":"ref_168","doi-asserted-by":"crossref","first-page":"021009","DOI":"10.1115\/1.4032125","article-title":"Finite Element Modeling of Mitral Valve Repair","volume":"138","author":"Morgan","year":"2016","journal-title":"J. Biomech. Eng."},{"key":"ref_169","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/j.jacc.2003.09.036","article-title":"Impact of tricuspid regurgitation on long-term survival","volume":"43","author":"Nath","year":"2004","journal-title":"J. Am. Coll. Cardiol."},{"key":"ref_170","doi-asserted-by":"crossref","first-page":"e004897","DOI":"10.1161\/CIRCIMAGING.116.004897","article-title":"Functional Tricuspid Regurgitation Caused by Chronic Atrial Fibrillation","volume":"10","author":"Utsunomiya","year":"2017","journal-title":"Circ. Cardiovasc. Imaging"},{"key":"ref_171","first-page":"665","article-title":"Computed tomography for planning transcatheter tricuspid valve therapy","volume":"38","author":"Kamperidis","year":"2016","journal-title":"Eur. Heart J."},{"key":"ref_172","doi-asserted-by":"crossref","first-page":"616","DOI":"10.1093\/ejcts\/ezx324","article-title":"2017 ESC\/EACTS Guidelines for the management of valvular heart disease","volume":"52","author":"Baumgartner","year":"2017","journal-title":"Eur. J. Cardio-Thorac. Surg."},{"key":"ref_173","first-page":"e35","article-title":"2020 ACC\/AHA Guideline for the Management of Patients With Valvular Heart Disease: A Report of the American College of Cardiology\/American Heart Association Joint Committee on Clinical Practice Guidelines","volume":"143","author":"Otto","year":"2021","journal-title":"Circulation"},{"key":"ref_174","doi-asserted-by":"crossref","first-page":"1929","DOI":"10.1161\/CIRCULATIONAHA.110.991018","article-title":"Preoperative Factors Associated With Adverse Outcome After Tricuspid Valve Replacement","volume":"123","author":"Topilsky","year":"2011","journal-title":"Circulation"},{"key":"ref_175","doi-asserted-by":"crossref","first-page":"2953","DOI":"10.1016\/j.jacc.2017.10.039","article-title":"National Trends and Outcomes in Isolated Tricuspid Valve Surgery","volume":"70","author":"Zack","year":"2017","journal-title":"J. Am. Coll. Cardiol."},{"key":"ref_176","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1016\/j.actbio.2017.11.040","article-title":"Pressure-induced microstructural changes in porcine tricuspid valve leaflets","volume":"67","author":"Pant","year":"2018","journal-title":"Acta Biomater."},{"key":"ref_177","doi-asserted-by":"crossref","first-page":"524","DOI":"10.1016\/j.actbio.2019.05.074","article-title":"A computational multi-scale approach to investigate mechanically-induced changes in tricuspid valve anterior leaflet microstructure","volume":"94","author":"Thomas","year":"2019","journal-title":"Acta Biomater."},{"key":"ref_178","doi-asserted-by":"crossref","first-page":"1112","DOI":"10.1007\/s10439-018-2024-8","article-title":"Finite Element Analysis of Tricuspid Valve Deformation from Multi-slice Computed Tomography Images","volume":"46","author":"Kong","year":"2018","journal-title":"Ann. Biomed. Eng."},{"key":"ref_179","doi-asserted-by":"crossref","first-page":"e3346","DOI":"10.1002\/cnm.3346","article-title":"A pilot in silico modeling-based study of the pathological effects on the biomechanical function of tricuspid valves","volume":"36","author":"Laurence","year":"2020","journal-title":"Int. J. Numer. Methods Biomed. Eng."},{"key":"ref_180","doi-asserted-by":"crossref","first-page":"1889","DOI":"10.4244\/EIJ-D-17-00704","article-title":"Compare and contrast tricuspid and mitral valve anatomy: Interventional perspectives for transcatheter tricuspid valve therapies","volume":"13","author":"Taramasso","year":"2018","journal-title":"EuroIntervention"},{"key":"ref_181","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.jmbbm.2018.07.024","article-title":"An investigation of the anisotropic mechanical properties and anatomical structure of porcine atrioventricular heart valves","volume":"87","author":"Jett","year":"2018","journal-title":"J. Mech. Behav. Biomed. Mater."},{"key":"ref_182","doi-asserted-by":"crossref","first-page":"508","DOI":"10.1016\/j.cma.2014.10.010","article-title":"Patient-specific isogeometric structural analysis of aortic valve closure","volume":"284","author":"Morganti","year":"2015","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"ref_183","doi-asserted-by":"crossref","first-page":"595","DOI":"10.1007\/s11831-014-9133-9","article-title":"Numerical Methods for Fluid\u2013Structure Interaction Models of Aortic Valves","volume":"22","author":"Marom","year":"2014","journal-title":"Arch. Comput. Methods Eng."},{"key":"ref_184","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1080\/17434440.2017.1389274","article-title":"Computational methods for the aortic heart valve and its replacements","volume":"14","author":"Zakerzadeh","year":"2017","journal-title":"Expert Rev. Med. Devices"},{"key":"ref_185","doi-asserted-by":"crossref","first-page":"666","DOI":"10.1097\/MAT.0000000000001296","article-title":"Dynamics of Blood Flows in Aortic Stenosis: Mild, Moderate, and Severe","volume":"67","author":"Jhun","year":"2020","journal-title":"ASAIO J."},{"key":"ref_186","doi-asserted-by":"crossref","first-page":"606","DOI":"10.3934\/mbe.2020031","article-title":"A computational study on the influence of aortic valve disease on hemodynamics in dilated aorta","volume":"17","author":"Xu","year":"2020","journal-title":"Math. Biosci. Eng."},{"key":"ref_187","doi-asserted-by":"crossref","first-page":"103604","DOI":"10.1016\/j.mechrescom.2020.103604","article-title":"Computational investigation of left ventricular hemodynamics following bioprosthetic aortic and mitral valve replacement","volume":"112","author":"Xu","year":"2020","journal-title":"Mech. Res. Commun."},{"key":"ref_188","doi-asserted-by":"crossref","first-page":"474","DOI":"10.1016\/j.cmpb.2013.11.009","article-title":"Numerical simulation of patient-specific left ventricular model with both mitral and aortic valves by FSI approach","volume":"113","author":"Su","year":"2014","journal-title":"Comput. Methods Programs Biomed."},{"key":"ref_189","unstructured":"Zhong, L., Su, B., Zhang, J.-M., Leo, H.L., and Tan, R.S. (2013, January 3\u20137). FSI simulation of intra-ventricular flow in patient-specific ventricular model with both mitral and aortic valves. Proceedings of the 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), Osaka, Japan."},{"key":"ref_190","doi-asserted-by":"crossref","first-page":"e003626","DOI":"10.1161\/CIRCIMAGING.115.003626","article-title":"Replicating Patient-Specific Severe Aortic Valve Stenosis With Functional 3D Modeling","volume":"8","author":"Maragiannis","year":"2015","journal-title":"Circ. Cardiovasc. Imaging"},{"key":"ref_191","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1007\/s13239-020-00469-9","article-title":"Biomechanical Assessment of Bicuspid Aortic Valve Phenotypes: A Fluid\u2013Structure Interaction Modelling Approach","volume":"11","author":"Abdullah","year":"2020","journal-title":"Cardiovasc. Eng. Technol."},{"key":"ref_192","doi-asserted-by":"crossref","first-page":"6015","DOI":"10.3389\/fphys.2021.716015","article-title":"A Fluid\u2013Structure Interaction Study of Different Bicuspid Aortic Valve Phenotypes Throughout the Cardiac Cycle","volume":"12","author":"Yan","year":"2021","journal-title":"Front. Physiol."},{"key":"ref_193","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1016\/j.jtcvs.2016.09.040","article-title":"Patient-specific computational fluid dynamics\u2014Assessment of aortic hemodynamics in a spectrum of aortic valve pathologies","volume":"153","author":"Youssefi","year":"2016","journal-title":"J. Thorac. Cardiovasc. Surg."},{"key":"ref_194","doi-asserted-by":"crossref","unstructured":"Shen, X., Bai, L., Cai, L., and Cao, X. (2018). A geometric model for the human pulmonary valve in its fully open case. PLoS ONE, 13.","DOI":"10.1371\/journal.pone.0199390"},{"key":"ref_195","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/s13239-021-00558-3","article-title":"Computational Modeling of Right Ventricular Motion and Intracardiac Flow in Repaired Tetralogy of Fallot","volume":"13","author":"Loke","year":"2021","journal-title":"Cardiovasc. Eng. Technol."},{"key":"ref_196","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1007\/s13239-015-0240-z","article-title":"Blood Flow Simulations for the Design of Stented Valve Reducer in Enlarged Ventricular Outflow Tracts","volume":"6","author":"Caiazzo","year":"2015","journal-title":"Cardiovasc. Eng. Technol."},{"key":"ref_197","doi-asserted-by":"crossref","first-page":"1314","DOI":"10.1080\/10255842.2015.1133811","article-title":"A reduced-order modeling for efficient design study of artificial valve in enlarged ventricular outflow tracts","volume":"19","author":"Caiazzo","year":"2016","journal-title":"Comput. Methods Biomech. Biomed. Eng."},{"key":"ref_198","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1093\/icvts\/ivv108","article-title":"Fluid dynamics simulation of right ventricular outflow tract oversizing","volume":"21","author":"Berdajs","year":"2015","journal-title":"Interact. Cardiovasc. Thorac. Surg."},{"key":"ref_199","doi-asserted-by":"crossref","first-page":"548","DOI":"10.5301\/ijao.5000443","article-title":"Effect of Pulmonary Conduit Oversizing on Hemodynamics in Children","volume":"38","author":"Sonntag","year":"2015","journal-title":"Int. J. Artif. Organs"},{"key":"ref_200","doi-asserted-by":"crossref","first-page":"7","DOI":"10.15420\/cfr.2016:25:2","article-title":"Global Public Health Burden of Heart Failure","volume":"3","author":"Savarese","year":"2017","journal-title":"Card. Fail. Rev."},{"key":"ref_201","doi-asserted-by":"crossref","first-page":"100038","DOI":"10.1016\/j.mtbio.2019.100038","article-title":"Materials and manufacturing perspectives in engineering heart valves: A review","volume":"5","author":"Oveissi","year":"2019","journal-title":"Mater. Today Bio"},{"key":"ref_202","doi-asserted-by":"crossref","unstructured":"Arthurs, C.J., Khlebnikov, R., Melville, A., Mar\u010dan, M., Gomez, A., Dillon-Murphy, D., Cuomo, F., Vieira, M.S., Schollenberger, J., and Lynch, S.R. (2021). CRIMSON: An open-source software framework for cardiovascular integrated modelling and simulation. PLOS Comput. Biol., 17.","DOI":"10.1371\/journal.pcbi.1008881"},{"key":"ref_203","doi-asserted-by":"crossref","first-page":"2080","DOI":"10.1109\/TBME.2016.2602760","article-title":"Commentary on the Integration of Model Sharing and Reproducibility Analysis to Scholarly Publishing Workflow in Computational Biomechanics","volume":"63","author":"Erdemir","year":"2016","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_204","doi-asserted-by":"crossref","unstructured":"Toma, M., Guru, S., Wu, W., Ali, M., and Ong, C. (2021). Addressing Discrepancies between Experimental and Computational Procedures. Biology, 10.","DOI":"10.3390\/biology10060536"},{"key":"ref_205","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/j.abb.2019.01.006","article-title":"Closing the therapeutic loop","volume":"663","author":"Campbell","year":"2019","journal-title":"Arch. Biochem. Biophys."},{"key":"ref_206","first-page":"3091","article-title":"Rhythmic behaviors of the human heart with piecewise derivative","volume":"19","author":"Atangana","year":"2022","journal-title":"Math. Biosci. Eng."},{"key":"ref_207","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1093\/bib\/bbz005","article-title":"Computational medicine: Quantitative modeling of complex diseases","volume":"21","author":"Tiwary","year":"2019","journal-title":"Brief. Bioinform."},{"key":"ref_208","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1007\/978-1-4939-3283-2_19","article-title":"Modeling and Simulation Tools: From Systems Biology to Systems Medicine","volume":"1386","author":"Olivier","year":"2016","journal-title":"Syst. Med."},{"key":"ref_209","doi-asserted-by":"crossref","first-page":"158rv11","DOI":"10.1126\/scitranslmed.3003528","article-title":"Computational Medicine: Translating Models to Clinical Care","volume":"4","author":"Winslow","year":"2012","journal-title":"Sci. Transl. Med."},{"key":"ref_210","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/bs.apcsb.2015.09.005","article-title":"Computational Approaches to Accelerating Novel Medicine and Better Patient Care from Bedside to Benchtop","volume":"102","author":"Sakellaropoulos","year":"2016","journal-title":"Adv. Protein Chem. Struct. Biol."},{"key":"ref_211","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/j.amjmed.2017.10.035","article-title":"Artificial Intelligence in Medical Practice: The Question to the Answer?","volume":"131","author":"Miller","year":"2018","journal-title":"Am. J. Med."},{"key":"ref_212","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1111\/cts.12884","article-title":"Precision Medicine, AI, and the Future of Personalized Health Care","volume":"14","author":"Johnson","year":"2020","journal-title":"Clin. Transl. Sci."}],"container-title":["Materials"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1996-1944\/15\/9\/3302\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:06:13Z","timestamp":1760137573000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1996-1944\/15\/9\/3302"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5,5]]},"references-count":212,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2022,5]]}},"alternative-id":["ma15093302"],"URL":"https:\/\/doi.org\/10.3390\/ma15093302","relation":{},"ISSN":["1996-1944"],"issn-type":[{"value":"1996-1944","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,5,5]]}}}