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In vivo 3-D reconstruction and geometric characterization of the right ventricular free wall

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Abstract

A prerequisite to biomedical analyses of the right ventricular free wall (RVFW) is the characterization of itsin vivo geometry and instantaneous wall thickness (WT). We present a method to reconstruct and mathematically model thein vivo RVFW surface geometry using ECG-gated magnetic resonance imaging (MRI). From digitized contours we reconstructed the endo- and epicardial surfaces of the entire heart, and approximated the RVFW surface geometry by local biquadric surface patches. An insurface coordinate system was developed, with respect to which the metric tensor, curvature tensor, major (k 2), and minor (k 1) principal curvatures were computed. The method was evaluated using MRI data from one dog, which showed thatk 2 was about 10 timesk 1, withk 2 andk 1 approximately perpendicular and parallel to the RV long axis, respectively. During systole,k 1 and both principal curvature directions remained essentially unchanged, whilek 2 revealed only a 7% decrease (p<0.05) in the sinus region. These results suggest that while the RVFW undergoes small changes in surface geometry during systole, its overall curvature remained constant. The WT/mean radius of curvature ratio was less than 0.1 during systole throughout the RVFW, indicating it can be idealized as a thin shell.

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Authors and Affiliations

  1. Joint Biomedical Engineering Program, University of Texas at Arlington and University of Texas Southwestern Medical Center at Dallas, Dallas, TX

    M. S. Sacks & C. J. Chuong

  2. Department of Physiology, University of Texas Southwestern Medical Center at Dallas, Dallas, TX

    G. H. Templeton

  3. Department of Radiology, University of Texas Southwestern Medical Center at Dallas, Dallas, TX

    R. Peshock

Authors
  1. M. S. Sacks
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  2. C. J. Chuong
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  3. G. H. Templeton
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  4. R. Peshock
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Sacks, M.S., Chuong, C.J., Templeton, G.H. et al. In vivo 3-D reconstruction and geometric characterization of the right ventricular free wall. Ann Biomed Eng 21, 263–275 (1993). https://doi.org/10.1007/BF02368182

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  • DOI: https://doi.org/10.1007/BF02368182

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