Present address: Department of Anesthesiology and Intensive Care Medicine, University of Bonn Medical Center, Bonn, Germany
Robust Model-Based Quantification of Global Ventricular Torsion from Spatially Sparse Three-Dimensional Time Series Data by Orthogonal Distance Regression: Evaluation in a Canine Animal Model Under Different Pacing Regimes
Article first published online: 16 AUG 2012
©2012, The Authors. Journal compilation ©2012 Wiley Periodicals, Inc.
Pacing and Clinical Electrophysiology
Volume 36, Issue 1, pages 13–23, January 2013
How to Cite
ZENKER, S., KIM, H. K., CLERMONT, G. and PINSKY, M. R. (2013), Robust Model-Based Quantification of Global Ventricular Torsion from Spatially Sparse Three-Dimensional Time Series Data by Orthogonal Distance Regression: Evaluation in a Canine Animal Model Under Different Pacing Regimes. Pacing and Clinical Electrophysiology, 36: 13–23. doi: 10.1111/j.1540-8159.2012.03496.x
Disclosures and Potential Conflicts of Interest: None
This research was supported in part by NIH grants HL67181, HL073198, and HL07820. SZ is supported by the Deutsche Forschungsgemeinschaft (DFG) grant no. ZE 904/2-1.
- Issue published online: 9 JAN 2013
- Article first published online: 16 AUG 2012
- Manuscript Accepted: 11 JUN 2012
- Manuscript Received: 19 DEC 2011
Disclaimer: Supplementary materials have been peer-reviewed but not copyedited.
Video 1. Movie illustrating the stable ellipsoidal fit for animal 1, where the ellipsoidal model provides an excellent fit to the observed crystal positions, although the linear model of global twist used to compute torsion does not describe the relative angular movement of measurement sites well, which may be due to the fact that there is little consistent angular displacement, as is evident from the bottom right panels showing the evolution of projected crystal positions in internal ellipsoidal coordinates. Coordinates for all 3D plots are transformed to position the most basal crystal in the xy-plane and align the longitudinal axis of the estimated ellipsoid with the z-axis. Green crosses indicate crystal positions, red circles the corresponding closest point on the ellipsoid surface, and green lines the orthogonal distance vector. The XY-perspective is seen from the apex. The temporal development of the ellipsoidal coordinates used for twist quantification is displayed in the bottom right panel for each pacing mode. For details, see the main the text and Appendix. Encoding: MPEG-4 and WMV, Resolution: 1920 × 1170.
Video 2. Movie illustrating the stable ellipsoidal fit for animal 3, where the linear model of global twist describes the relative angular movement of measurement sites well. Layout of plots is identical to Video 2. Encoding: MPEG-4 and WMV, Resolution: 1920 × 1170.
Software Supplement. MATLAB™ programs for calculating and visualizing the orthogonal distance regression to an ellipsoid under various constraints (will be made available under an open source license at the time of publication).
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