Aortic root numeric model: Annulus diameter prediction of effective height and coaptation in post–aortic valve repair  Gil Marom, MSc, Rami Haj-Ali, PhD,

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Aortic root numeric model: Annulus diameter prediction of effective height and coaptation in post–aortic valve repair  Gil Marom, MSc, Rami Haj-Ali, PhD, Moshe Rosenfeld, DSc, Hans Joachim Schäfers, MD, Ehud Raanani, MD  The Journal of Thoracic and Cardiovascular Surgery  Volume 145, Issue 2, Pages 406-411.e1 (February 2013) DOI: 10.1016/j.jtcvs.2012.01.080 Copyright © 2013 The American Association for Thoracic Surgery Terms and Conditions

Figure 1 A schematic view of the aortic valve healthy model showing the compliant region and the added rigid tubes. The Journal of Thoracic and Cardiovascular Surgery 2013 145, 406-411.e1DOI: (10.1016/j.jtcvs.2012.01.080) Copyright © 2013 The American Association for Thoracic Surgery Terms and Conditions

Figure 2 The effective height (hE) as a function of annulus diameter (dAA) under a pressure load of 3 mm Hg. The Journal of Thoracic and Cardiovascular Surgery 2013 145, 406-411.e1DOI: (10.1016/j.jtcvs.2012.01.080) Copyright © 2013 The American Association for Thoracic Surgery Terms and Conditions

Figure 3 Projected deformed configurations of the closed valves on the C-C plane with r = 5 mm and views from the aorta. The case of dAA = 28 mm is open with discontinuous contact, although the aorta view dose not disclose this fact. The Journal of Thoracic and Cardiovascular Surgery 2013 145, 406-411.e1DOI: (10.1016/j.jtcvs.2012.01.080) Copyright © 2013 The American Association for Thoracic Surgery Terms and Conditions

Figure 4 A, Coaptation heights (hC) as a function of annulus diameter (dAA) and (B) coaptation area marked in black for the case of fully closed (1-ms duration) dAA = 24 mm valve. The Journal of Thoracic and Cardiovascular Surgery 2013 145, 406-411.e1DOI: (10.1016/j.jtcvs.2012.01.080) Copyright © 2013 The American Association for Thoracic Surgery Terms and Conditions

Figure 5 Comparison of energy density (W) and the maximum principal stress (σmax) for the various annulus diameters (dAA). The dashed line indicates the σmax = 500 kPa. The Journal of Thoracic and Cardiovascular Surgery 2013 145, 406-411.e1DOI: (10.1016/j.jtcvs.2012.01.080) Copyright © 2013 The American Association for Thoracic Surgery Terms and Conditions

Figure E1 A, Contour of maximum principal stress on the cusp for annulus diameter (dAA) = 24 mm, also illustrating 2 defined lines. B, Maximum principal stress values at normalized locations for 2 predefined lines on the cusp. The Journal of Thoracic and Cardiovascular Surgery 2013 145, 406-411.e1DOI: (10.1016/j.jtcvs.2012.01.080) Copyright © 2013 The American Association for Thoracic Surgery Terms and Conditions

Figure E2 Normalized cusp coaptation area (NCCA) as a function of the annulus diameter (dAA). The Journal of Thoracic and Cardiovascular Surgery 2013 145, 406-411.e1DOI: (10.1016/j.jtcvs.2012.01.080) Copyright © 2013 The American Association for Thoracic Surgery Terms and Conditions