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Epicardial Deformation From Coronary Cinéangiograms

  • Chapter
Theory of Heart

Part of the book series: Institute for Nonlinear Science ((INLS))

Abstract

A quantitative method is developed for estimating epicardial deformation in the intact heart using the motions of the coronary arteries. The method makes full use of a deformable structural model of the time-varying epicardial surface to guide the analysis of coronary cinéangiograms. A finite element model was adopted, consisting of nodal geometric parameters interpolated by bicubic Hermite basis functions in the spatial domain and sinusoidal (Fourier) basis functions in the temporal domain. The parameters of an initial static surface were fitted to the three-dimensional (3-D) locations of the coronary arteries at diastasis. The parameters of the time-varying displacement field were then fitted to the tracked displacements of the bifurcation points of the coronary arteries. The locations of the vessel centerlines were then tracked from frame to frame throughout the cycle, using the fit to the bifurcations as a reference state. Owing to the nonuniform distribution of the superficial arteries over the epicardium, weighted spline smoothness constraints were added to the error function in order to regularize the least-squares solution. The time-varying surface model provides a complete description of epicardial deformation over the entire region spanned by the ensemble basis functions. The Green’s strain tensor, referred to in-plane material coordinates, was used to calculate principal (major and minor) surface strains at any point.

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Authors and Affiliations

  1. Department of Engineering Science, School of Engineering, University of Auckland, New Zealand

    Alistair Young

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  1. Alistair Young
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Editors and Affiliations

  1. Department of Physiology, McGill University, Montreal, Quebec, H3G 1Y6, Canada

    Leon Glass

  2. Department of Engineering Science, University of Auckland, Auckland, New Zealand

    Peter Hunter

  3. Department of Applied Mechanics and Engineering Science—Bioengineering, University of California, San Diego, La Jolla, CA, 92093, USA

    Andrew McCulloch

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© 1991 Springer-Verlag New York, Inc.

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Young, A. (1991). Epicardial Deformation From Coronary Cinéangiograms. In: Glass, L., Hunter, P., McCulloch, A. (eds) Theory of Heart. Institute for Nonlinear Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3118-9_8

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  • DOI: https://doi.org/10.1007/978-1-4612-3118-9_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7803-0

  • Online ISBN: 978-1-4612-3118-9

  • eBook Packages: Springer Book Archive

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