A general three-dimensional parametric geometry of the native aortic valve and root for biomechanical modeling.
نویسندگان
چکیده
The complex three-dimensional (3D) geometry of the native tricuspid aortic valve (AV) is represented by select parametric curves allowing for a general construction and representation of the 3D-AV structure including the cusps, commissures and sinuses. The proposed general mathematical description is performed by using three independent parametric curves, two for the cusp and one for the sinuses. These curves are used to generate different surfaces that form the structure of the AV. Additional dependent curves are also generated and utilized in this process, such as the joint curve between the cusps and the sinuses. The model's feasibility to generate patient-specific parametric geometry is examined against 3D-transesophageal echocardiogram (3D-TEE) measurements from a non-pathological AV. Computational finite-element (FE) mesh can then be easily constructed from these surfaces. Examples are given for constructing several 3D-AV geometries by estimating the needed parameters from echocardiographic measurements. The average distance (error) between the calculated geometry and the 3D-TEE measurements was only 0.78±0.63mm. The proposed general 3D parametric method is very effective in quantitatively representing a wide range of native AV structures, with and without pathology. It can also facilitate a methodical quantitative investigation over the effect of pathology and mechanical loading on these major AV parameters.
منابع مشابه
Authors' reply regarding "A general three dimensional parametric geometry of the native aortic valve and root for biomechanical modeling".
We appreciate the comments of Fabius et al. (2013) regarding our general parametric geometric model of native aortic valves (AVs) (Haj-Ali et al., 2012). In their letter, concerns were raised that the use of our geometric model of tricuspid aortic valves (TAVs) might not be suitable when applied for bicuspid valves (BAVs) since it may predict a stenotic configuration. We are glad that Fabius et...
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متن کاملLetter to the Editor regarding "A general three-dimensional parametric geometry of the native aortic valve and root for biomechanical modeling".
With great interest we read the article of Haj-Ali and Marom et al., presenting an extensive three-dimensional mathematical model of the aortic valve and root (Haj-Ali et al., 2012). The development of an accurate model of the aortic valve could provide insight in both the functioning of a healthy valve and several pathological processes involving the aortic valve. As the aortic valve interacts...
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ورودعنوان ژورنال:
- Journal of biomechanics
دوره 45 14 شماره
صفحات -
تاریخ انتشار 2012