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Optimization-based fiber orientation modeling for computational mitral valve evaluation

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Abstract

Biomechanical response of the mitral valve (MV) leaflet tissue is closely related to the characteristics, density, and orientation of the collagen fibers. Alterations of collagen fiber arrangement have a direct influence on the biomechanical characteristics of the MV leaflets leading to physiologic deterioration. In this study, we describe a nonlinear optimization technique to define fiber orientations across the MV posterior leaflet. A symmetric MV model consisting of the saddle-shaped annulus, the anterior leaflet, and the triscalloped posterior leaflet was modeled. The posteromedial half portion of the posterior leaflet was segmented and meshed. An unconstrained nonlinear multi-objective optimization protocol with lower and upper boundaries was developed to determine realistic collagen fiber distribution across the posterior leaflet. In the cleft region, the optimization-based fiber orientation modeling method demonstrated a sharp change of fiber orientation near the annular region followed by a slow adjustment of fiber orientation near the free leaflet margin, which corresponds well to the native MV leaflet tissue. Fiber distribution in the cleft region revealed a large difference between the optimization and the linear interpolation methods. This optimization strategy has the potential to effectively model the natural fiber orientation across the MV leaflets for improved computational evaluation of MV function.

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Authors and Affiliations

  1. Department of Internal Medicine, The University of Texas Health Science Center at Houston, 6431 Fannin St, MSB 1.246, Houston, TX, 77030, USA

    Yonghoon Rim & Hyunggun Kim

  2. Department of Biological Sciences, Mellon College of Science, Carnegie Mellon University, 5000 Forbes Ave, Pittsburgh, PA, 15213, USA

    Frederick Mun

Authors
  1. Yonghoon Rim
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  2. Frederick Mun
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  3. Hyunggun Kim
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Correspondence to Hyunggun Kim.

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Rim, Y., Mun, F. & Kim, H. Optimization-based fiber orientation modeling for computational mitral valve evaluation. Int. J. Precis. Eng. Manuf. 16, 2563–2568 (2015). https://doi.org/10.1007/s12541-015-0328-2

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  • DOI: https://doi.org/10.1007/s12541-015-0328-2

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