Numerical assessment of coaptation for auto-pericardium based aortic valve cusps

References

[1] P. Aguiari, M. Fiorese, L. Iop, G. Gerosa, and A. Bagno, Mechanical testing of pericardium for manufacturing prosthetic heart valves. Interactive Cardiovascular and Thoracic Surgery22 (2015), No. 1, 72–84.10.1093/icvts/ivv282Search in Google Scholar PubMed

[2] I. G. Berra, P. E. Hammer, S. Berra, A. O. Irusta, S. C. Ryu, D. P. Perrin, N. V. Vasilyev, C. J. Cornelis, P. G. Delucis, and J. Pedro. An intraoperative test device for aortic valve repair. J. Thoracic and cardiovascular surgery157 (2019), No. 1, 126–132.10.1016/j.jtcvs.2018.07.113Search in Google Scholar PubMed

[3] S. Coffey, B. J. Cairns, and B. Iung, The modern epidemiology of heart valve disease. Heart102 (2016), No. 1, 75–85.10.1136/heartjnl-2014-307020Search in Google Scholar PubMed

[4] A. Danilov, Yu. Ivanov, R. Pryamonosov, and Yu. Vassilevski, Methods of graph network reconstruction in personalized medicine. Int. J. Numer. Method. Biomed. Engrg. (2016), e02754.10.1002/cnm.2754Search in Google Scholar PubMed

[5] H. Delingette, Triangular springs for modeling nonlinear membranes. IEEE Trans Vis Comput Graph. 14 (2008), No. 2, 329–341.10.1109/TVCG.2007.70431Search in Google Scholar PubMed

[6] R. O. Duda and P. E. Hart, Use of the Hough transformation to detect lines and curves in pictures. Commun. ACM15 (1972), No. 1, 11–15.10.1145/361237.361242Search in Google Scholar

[7] L. Grady, Fast, Quality, Segmentation of large volumes—isoperimetric distance trees. In: Computer Vision—ECCV 2006. Springer LNCS, Vol. 3953, 2006, pp. 449–462.10.1007/11744078_35Search in Google Scholar

[8] R. Haj-Ali, G. Marom, S. B. Zekry, M. Rosenfeld, and E. Raanani. A general three-dimensional parametric geometry of the native aortic valve and root for biomechanical modeling. J. Biomechanics45 (2012), No. 14, 2392–2397.10.1016/j.jbiomech.2012.07.017Search in Google Scholar PubMed

[9] P. E. Hammer, D. P. Perrin, J. Pedro, and R. D. Howe, Image-based mass-spring model of mitral valve closure for surgical planning. In: Proc. of SPIE Medical Imaging: Visualization, Image-guided Procedures, and Modeling Vol. 6918, 2008, 69180Q.Search in Google Scholar

[10] P. E. Hammer, M. S. Sacks, J. Pedro, and R. D. Howe, Mass-spring model for simulation of heart valve tissue mechanical behavior. Ann. Biomed. Engrg. 39 (2011), No. 6, 1668–1679.10.1007/s10439-011-0278-5Search in Google Scholar PubMed PubMed Central

[11] P. E. Hammer, J. Pedro, and R. D. Howe, Anisotropic mass-spring method accurately simulates mitral valve closure from image-based models. In: International Conference on Functional Imaging and Modeling of the Heart Springer, Berlin, Heidelberg (2011), pp. 233–240.10.1007/978-3-642-21028-0_29Search in Google Scholar

[12] M. R. Labrosse, C. J. Beller, F. Robicsek, and M. J. Thubrikar, Geometric modeling of functional trileaflet aortic valves: development and clinical applications. J. Biomechanics39 (2006), No. 14, 2665–2672.10.1016/j.jbiomech.2005.08.012Search in Google Scholar PubMed

[13] K. Lipnikov, Yu. Vassilevski, A. Danilov et al, Advanced Numerical Instruments 2D. https://sourceforge.net/projects/ani2dSearch in Google Scholar

[14] J. Lu, X. Zhou, and M. L. Raghavan, Inverse method of stress analysis for cerebral aneurysms. Biomechanics and Modeling in Mechanobiology7 (2008), No. 6, 477–486.10.1007/s10237-007-0110-1Search in Google Scholar PubMed

[15] G. Marom, R. Haj-Ali, E. Raanani, H. J. Schäfers, and M. Rosenfeld, A fluid-structure interaction model of the aortic valve with coaptation and compliant aortic root. Medical & Biological Engrg. & Computing50 (2012), No. 2, 173–182.10.1007/s11517-011-0849-5Search in Google Scholar PubMed

[16] G. Marom, R. Haj-Ali, M. Rosenfeld, H. J. Schäfers, and E. Raanani, Aortic root numeric model: Annulus diameter prediction of effective height and coaptation in post-aortic valve repair. J. Thorac. Cardiovasc. Surg. 145 (2013), No. 2, 406–411.10.1016/j.jtcvs.2012.01.080Search in Google Scholar PubMed

[17] S. Ozaki, I. Kawase, H. Yamashita, S. Uchida, Y. Nozava, M. Takatoh, and S. Hagiwara, A total of 404 cases of aortic valve reconstruction with glutaraldehyde-treated autologous pericardium. J. Thorac. Cardiovasc. Surg. 147 (2014), No. 1, 301–306.10.1016/j.jtcvs.2012.11.012Search in Google Scholar PubMed

[18] O. A. Pappalardo, F. Sturla, F. Onorati, G. Puppini, M. Selmi, G. B. Luciani, G. Faggian, A. Redaelli, and E. Votta, Mass-spring models for the simulation of mitral valve function: Looking for a trade-off between reliability and time-efficiency. Med. Eng. Phys. 47 (2017), 93–104.10.1016/j.medengphy.2017.07.001Search in Google Scholar PubMed

[19] J. S. Rankin, C. Nöbauer, P. S. Crooke, C. Schreiber, R. Lange, and D. Mazzitelli, Techniques of autologous pericardial leaflet replacement for aortic valve reconstruction. Ann. Thorac. Surg. 98 (2014), No. 2, 743–745.10.1016/j.athoracsur.2013.11.086Search in Google Scholar PubMed

[20] L. Rineau and M. Yvinec, A generic software design for Delaunay refinement meshing. Computational Geometry38 (2007) No. 1-2, 100–110.10.1016/j.comgeo.2006.11.008Search in Google Scholar

[21] V. Yu. Salamatova, Finite element method for 3D deformation of hyperelastic materials. Diff. Equations55 (2019), No. 7, 990-999.10.1134/S0012266119070115Search in Google Scholar

[22] F. Sturla, E. Votta, M. Stevanella, C. A. Conti, and A. Redaelli, Impact of modeling fluid-structure interaction in the computational analysis of aortic root biomechanics. Medical Engrg.&Physics35 (2013), No. 12, 1721–1730.10.1016/j.medengphy.2013.07.015Search in Google Scholar PubMed

[23] A. Van Gelder, Approximate simulation of elastic membranes by triangulated spring meshes. J. Graph. Tools (1998), No. 3, 21–42.10.1080/10867651.1998.10487490Search in Google Scholar

[24] Yu. V. Vassilevski, V. Yu. Salamatova, and A. V. Lozovskiy, Concise formulas for strain analysis of soft biological tissues. Diff. Equations53 (2017), No. 7, 908–915.10.1134/S0012266117070072Search in Google Scholar

[25] E. Votta, A. Arnoldi, A. Invernizzi, R. Ponzini, F. Veronesi, G. Tamborini, M. Pepi, F. Alamanni, A. Redaelli, and E. G. Caiani, Mitral valve patient-specific finite element modeling from 3D real time echocardiography: a potential new tool for surgical planning. In: MICCAI Workshop on Cardiovascular Interventional Imaging and Biophysical Modelling, 2009, 9 p.Search in Google Scholar

[26] P. A. Yushkevich, J. Piven, H. Cody Hazlett, R. Gimpel Smith, S. Ho, J. C. Gee, and G. Gerig, User-guided 3D active contour segmentation of anatomical structures: significantly improved efficiency and reliability. Neuroimage31 (2006), No. 3, 1116–1128.10.1016/j.neuroimage.2006.01.015Search in Google Scholar PubMed

[27] T. C. Zigras, Biomechanics of Human Pericardium: A Comparative Study of Fresh and Fixed Tissue. PhD Thesis, McGill University, 2017.Search in Google Scholar