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Left Ventricular Shear Strain in Model and Experiment: The Role of Myofiber Orientation

  • Sander Ubbink
  • Peter Bovendeerd
  • Tammo Delhaas
  • Theo Arts
  • Frans van de Vosse
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3504)

Abstract

Mathematical modeling of cardiac mechanics could be a useful clinical tool, both in translating measured abnormalities in cardiac deformation into the underlying pathology, and in selecting a proper treatment. We investigated to what extent a previously published model of cardiac mechanics [6] could predict deformation in the healthy left ventricle, as measured using MR tagging. The model adequately predicts circumferential strain, but fails to accurately predict shear strain. However, the time course of shear strain proves to be that sensitive to myofiber orientation, that agreement between model predictions and experiment may be expected if fiber orientation is changed by only a few degrees.

Keywords

Shear Strain Circumferential Strain Aortic Valve Stenosis Helix Angle Isovolumic Contraction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Axel, L.: MR imaging of motion with spatial modulation of magnetization. Radiology 171, 841–845 (1989)Google Scholar
  2. 2.
    Bovendeerd, P.H.M., Huyghe, J.M., Arts, T., van Campen, D.H., Reneman, R.S.: Influence of endocardial-epicardial crossover of muscle fibers on left ventricular wall mechanics. J. Biomech. 27, 941–951 (1994)CrossRefGoogle Scholar
  3. 3.
    Geerts, L., Bovendeerd, P.H.M., Nicolay, K., Arts, T.: Characterization of the normal cardiac myofiber field in goat measured with MR diffusion tensor imaging. Am. J. Physiol. 283, H126–H138 (2002)Google Scholar
  4. 4.
    Geerts-Ossevoort, L., Kerckhoffs, R.C.P., Bovendeerd, P.H.M., Arts, T.: Towards patient specific models of cardiac mechanics: a sensitivity study. In: Magnin, I.E., Montagnat, J., Clarysse, P., Nenonen, J., Katila, T. (eds.) FIMH 2003. LNCS, vol. 2674, pp. 81–90. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  5. 5.
    Guccione, J.M., Costa, K.D., McCulloch, A.D.: Finite element stress analysis of left ventricular mechanics in the beating dog heart. J. Biomech. 10, 1167–1177 (1995)CrossRefGoogle Scholar
  6. 6.
    Kerckhofs, R.C.P., Bovendeerd, P.H.M., Kotte, J.C.S., Prinzen, F.W., Smits, K., Arts, T.: Homogeneity of cardiac contraction despite physiological asynchrony of depolarization: a model study. Ann. Biomed. Eng. 31, 536–547 (2003)CrossRefGoogle Scholar
  7. 7.
    Nash, M.: Mechanics and material properties of the heart using an anatomically accurate mathematical model. PhD thesis, University of Auckland (1998)Google Scholar
  8. 8.
    Nash, M.P., Hunter, P.J.: Computational mechanics of the heart. J. Elast. 61, 113–141 (2000)zbMATHCrossRefMathSciNetGoogle Scholar
  9. 9.
    Rijcken, J.: Optimization of left ventricular muscle fiber orientation. PhD thesis, University of Maastricht (1997)Google Scholar
  10. 10.
    Rijcken, J., Bovendeerd, P.H.M., Schoofs, A.J.G., van Campen, D.H.: Optimization of cardiac fiber orientation for homogeneous fiber strain during ejection. Ann. Biomed. Eng. 27, 289–297 (1999)CrossRefGoogle Scholar
  11. 11.
    Stuber, M., Scheidegger, M.B., Fischer, S.E., Nagel, E., Steinemann, F., Hess, O.M., Boesiger, P.: Alterations in the local myocardial motion pattern in patients suffering from pressure overload due to aortic stenosis. Circ. 100, 361–368 (1999)Google Scholar
  12. 12.
    Usyk, T.P., Mazhari, R., McCulloch, A.D.: Effect of laminar orthotropic myofiber architecture on regional stress and strain in the canine left ventricle. J. Elast. 61, 143–164 (2000)zbMATHCrossRefGoogle Scholar
  13. 13.
    van der Toorn, A., Barenbrug, P., Snoep, G., van der Veen, F.H., Delhaas, T., Prinzen, F.W., Maessen, J., Arts, T.: Transmural gradients of cardiac myofiber shortening in aortic valve stenosis patients using mri tagging. Am. J. Physiol. 283, 1609–1615 (2002)Google Scholar
  14. 14.
    Villarreal, F.J., Lew, W.Y.W., Waldman, L.K., Covell, J.W.: Transmural myocardial deformation in the ischemic canine left ventricle. Circ. Res. 689, 368–381 (1991)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Sander Ubbink
    • 1
  • Peter Bovendeerd
    • 1
  • Tammo Delhaas
    • 2
    • 3
  • Theo Arts
    • 1
    • 2
  • Frans van de Vosse
    • 1
  1. 1.Eindhoven University of TechnologyEindhovenThe Netherlands
  2. 2.Maastricht UniversityMaastrichtThe Netherlands
  3. 3.University Hospital MaastrichtMaastrichtThe Netherlands

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