From: A Hyperelastic Constitutive Law for Aortic Valve Tissue

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From: A Hyperelastic Constitutive Law for Aortic Valve Tissue Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: A Hyperelastic Constitutive Law for Aortic Valve Tissue J Biomech Eng. 2009;131(8):081009-081009-7. doi:10.1115/1.3127261 Figure Legend: Anatomy of the aortic valve. (a) Cutaway view of the valve from the aortic side. (b) Side cross-sectional view of the aortic root, showing the valve in the closed and open states. (c) Diagram of a single aortic valve leaflet, showing the FM, CA, belly area (B), and the annular edge (AE). (From Ref. with kind permission of Springer Science and Business Media).

From: A Hyperelastic Constitutive Law for Aortic Valve Tissue Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: A Hyperelastic Constitutive Law for Aortic Valve Tissue J Biomech Eng. 2009;131(8):081009-081009-7. doi:10.1115/1.3127261 Figure Legend: Biaxial testing of the aortic valve tissue was performed on individual valve leaflets. (a) Each leaflet was mounted to the four carriages of the biaxial testing apparatus with suture loops spanning a distance lx along the circumferential direction and ly along the radial direction. Four markers are placed in the central region of the leaflet defining dx by dy. (b) The carriages were controlled with a video feedback system that measured the position of the four central markers in real time.

From: A Hyperelastic Constitutive Law for Aortic Valve Tissue Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: A Hyperelastic Constitutive Law for Aortic Valve Tissue J Biomech Eng. 2009;131(8):081009-081009-7. doi:10.1115/1.3127261 Figure Legend: The response functions for one of the aortic leaflets tested (P32) were calculated from the experimental data collected during the constant invariant tests. Similar responses from additional valves tested led to the choice of a strain energy function that is an exponential function of the strain invariants I1 and α.

From: A Hyperelastic Constitutive Law for Aortic Valve Tissue Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: A Hyperelastic Constitutive Law for Aortic Valve Tissue J Biomech Eng. 2009;131(8):081009-081009-7. doi:10.1115/1.3127261 Figure Legend: Three protocols for each specimen were used to obtain the coefficients for the constitutive law shown in Eqs. . The data (shown with symbols: circles, circumferential direction; squares, radial direction) and corresponding fits (shown as overlaid solid lines) are shown for two different leaflets, P35 (left panels) and P44L2 (right panels).

From: A Hyperelastic Constitutive Law for Aortic Valve Tissue Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: A Hyperelastic Constitutive Law for Aortic Valve Tissue J Biomech Eng. 2009;131(8):081009-081009-7. doi:10.1115/1.3127261 Figure Legend: Predictions of the stress response for the same two leaflets illustrated in Fig. , P35 (left panels) and P44L2 (right panels). These predictions were made for protocols not used previously in the process of fitting the coefficients of the strain energy function. Experimental data are shown with symbols (circles, circumferential direction; squares, radial direction) and corresponding predictions shown as solid lines.

From: A Hyperelastic Constitutive Law for Aortic Valve Tissue Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: A Hyperelastic Constitutive Law for Aortic Valve Tissue J Biomech Eng. 2009;131(8):081009-081009-7. doi:10.1115/1.3127261 Figure Legend: Predictions of the stress-strain behavior of the average normal porcine aortic valve leaflet were made using the coefficients shown in Table . Experimental data are shown with symbols (circles, circumferential direction; squares, radial direction) and corresponding predictions shown as solid lines, showing excellent agreement.