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Topology of Blood Transport in the Human Left Ventricle by Novel Processing of Doppler Echocardiography

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Abstract

Novel processing of Doppler-echocardiography data was used to study blood transport in the left ventricle (LV) of six patients with dilated cardiomyopathy and six healthy volunteers. Bi-directional velocity field maps in the apical long axis of the LV were reconstructed from color-Doppler echocardiography. Resulting velocity field data were used to perform trajectory-based computation of Lagrangian coherent structures (LCS). LCS were shown to reveal the boundaries of blood injected and ejected from the heart over multiple beats. This enabled qualitative and quantitative assessments of blood transport patterns and residence times in the LV. Quantitative assessments of stasis in the LV are reported, as well as characterization of LV vortex formations from E-wave and A-wave filling.

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References

  1. Adams, P. C., M. Cohen, J. H. Chesebro, and V. Fuster. Thrombosis and embolism from cardiac chambers and infected valves. J. Am. Coll. Cardiol. 8(6):76–87, 1986.

    Article  PubMed  CAS  Google Scholar 

  2. Alhama, M., J. Bermejo, R. Yotti, E. Péerez-David, Y. Benito, A. González-Mansilla, C. Pérez-del Villar, F. Fernández-Avilés, and J. C. del Álamo. Quantitative assessment of intraventricular vorticity using conventional color-Doppler ultrasound. Head to head clinical validation against phase-contrast magnetic resonance imaging. J. Am. Coll. Cardiol. 3(59):E1128–E1128 (abstract), 2012.

    Google Scholar 

  3. Arzani, A., and S. C. Shadden. Characterization of the transport topology in patient-specific abdominal aortic aneurysm models. Phys. Fluids 24(8):081901, 2012.

    Article  Google Scholar 

  4. Bolger, A. F., E. Heiberg, M. Karlsson, L. Wigström, J. Engvall, A. Sigfridsson, T. Ebbers, J. P. E. Kvitting, C. J. Carlhäll, and B. Wranne. Transit of blood flow through the human left ventricle mapped by cardiovascular magnetic resonance. J. Cardiovasc. Magn. Reson. 9(5):741–747, 2007.

    Article  PubMed  Google Scholar 

  5. Charonko, J. J., R. Kumar, K. Stewart, W. C. Little, and P. P. Vlachos. Vortices formed on the mitral valve tips aid normal left ventricular filling. Ann. Biomed. Eng. 41(5):1049–1061, 2013.

    Article  PubMed  Google Scholar 

  6. Chong, M. S., A. E. Perry, and B. J. Cantwell. A general classification of three-dimensional flow fields. Phys. Fluids A 2(5):765–777, 1990.

    Article  Google Scholar 

  7. Duvernois, V., A. L. Marsden, and S. C. Shadden. Lagrangian analysis of hemodynamics data from FSI simulation. Int. J. Numer. Methods Biomed. Eng. 29(4):445–461, 2013.

    Article  Google Scholar 

  8. Eriksson, J., C. J. Carlhäll, P. Dyverfeldt, J. Engvall, A. F. Bolger, and T. Ebbers. Semi-automatic quantification of 4d left ventricular blood flow. J. Cardiovasc. Magn. Reson. 12(9):1–10, 2010.

    Google Scholar 

  9. Faludi, R., M. Szulik, J. D’hooge, P. Herijgers, F. Rademakers, G. Pedrizzetti, and J. Voigt. Left ventricular flow patterns in healthy subjects and patients with prosthetic mitral valves: an in vivo study using echocardiographic particle image velocimetry. J. Thorac. Cardiovasc. Surg. 139(6):1501–1510, 2010.

    Article  PubMed  Google Scholar 

  10. Fatouraee, N., and A. A. Amini. Regularization of flow streamlines in multislice phase-contrast MR imaging. IEEE Trans. Med. Imaging 22(6):699–709, 2003.

    Article  PubMed  Google Scholar 

  11. Gaasch, W. H., and M. R. Zile. Left ventricular diastolic dysfunction and diastolic heart failure. Annu. Rev. Med. 55:373–394, 2004.

    Article  PubMed  CAS  Google Scholar 

  12. Garcia, D., J. C. del Álamo, D. Tanné, R. Yotti, C. Cortina, E. Bertrand, J. C. Antoranz, E. Pérez-David, R. Rieu, F. Fernández-Avilés, and J. Bermejo. Two-dimensional intraventricular flow mapping by digital processing conventional color-Doppler echocardiography images. IEEE Trans. Med. Imaging. 29(10):1701–1713, 2010.

    Article  PubMed  Google Scholar 

  13. Hendabadi, S., J. C. del Álamo, and S. C. Shadden. Healthy versus diseased transport and mixing in the human left ventricle. In: Proceedings of the ASME 2012 Summer Bioengineering Conference, June 20–23, Farjardo, PR, USA, 2012

  14. Hong, G. R., G. Pedrizzetti, G. Tonti, P. Li, Z. Wei, J.K. Kim, A. Baweja, S. Liu, N. Chung, H. Houle, J. Narula, and M. A. Vannan. Characterization and quantification of vortex flow in the human left ventricle by contrast echocardiography using vector particle image velocimetry. J. Am. Coll. Cardiol. 1(6):705–717, 2008.

    Article  Google Scholar 

  15. Irisawa, H., M. F. Wilson, and R. F. Rushmer. Left ventricle as a mixing chamber. Circ. Res. 8(1):183–187, 1960.

    Article  PubMed  CAS  Google Scholar 

  16. Kasai, C., K. Namekawa, A. Koyano, and R. Omoto. Real-time two-dimensional blood flow imaging using an autocorrelation technique. IEEE Trans. Sonics Ultrason. 32(3):458–464, 1985.

    Article  Google Scholar 

  17. Kheradvar, A., H. Houle, G. Pedrizzetti, G. Tonti, T. Belcik, M. Ashraf, J.R. Lindner, M. Gharib, and D. Sahn. Echocardiographic particle image velocimetry: a novel technique for quantification of left ventricular blood vorticity pattern. J. Am. Soc. Echocardiogr. 23(1):86–94, 2010.

    Article  PubMed  Google Scholar 

  18. Luo, J., and E. E. Konofagou. Imaging of wall motion coupled with blood flow velocity in the heart and vessels in vivo: a feasibility study. Ultrasound Med. Biol. 37:980–95, 2011.

    Article  PubMed  Google Scholar 

  19. Nishimura, R. A., and A. J. Tajik. Evaluation of diastolic filling of left ventricle in health and disease: Doppler echocardiography is the clinician’s Rosetta stone. J. Am. Coll. Cardiol. 30(1):8–18, 1997.

    Article  PubMed  CAS  Google Scholar 

  20. Ohno, M., C. P. Cheng, and W. C. Little. Mechanism of altered patterns of left ventricular filling during the development of congestive heart failure. Circulation. 89(5):2241–2250, 1994.

    Article  PubMed  CAS  Google Scholar 

  21. Peikert, R., B. Schindler, and R. Carnecky. Ridge surface methods for the visualization of Lagrangian coherent structures. In: Proceedings of the Ninth International Conference on Flow Dynamics, Sendai, Japan, 2012, pp. 206–207.

  22. Persson, P.O., and G. Strang. A simple mesh generator in matlab. SIAM Rev. 46(2):329–345, 2004.

    Article  Google Scholar 

  23. Pinamonti, B., A. Di Lenarda, G. Sinagra, and F. Camerini. Restrictive left ventricular filling pattern in dilated cardiomyopathy assessed by Doppler echocardiography: clinical, echocardiographic and hemodynamic correlations and prognostic implications. J. Am. Coll. Cardiol. 22(3):808–815, 1993.

    Article  PubMed  CAS  Google Scholar 

  24. Quaini, A., S. Canic, and D. Paniagua. Numerical characterization of hemodynamics conditions near the aortic valve after implantation of left ventricle assist device. Math. Biosci. Eng. 3(8):785–806, 2011.

    Article  Google Scholar 

  25. Schenkel, T., M. Malve, M. Reik, M. Markl, B. Jung, and H. Oertel. MRI-based CFD analysis of flow in a human left ventricle: methodology and application to a healthy heart. Ann. Biomed. Eng. 37(3):503–515, 2009.

    Article  PubMed  Google Scholar 

  26. Shadden, S. C. Lagrangian coherent structures in blood flow. In: 61st Annual Meeting of the APS Division of Fluid Dynamics, number 15, 2008.

  27. Shadden, S. C. Lagrangian coherent structures. In: Transport and Mixing in Laminar Flows. Weinheim: Wiley-VCH Verlag GmbH & Co. KGaA, 2011, pp. 59–89.

  28. Shadden, S. C., M. Astorino, and J. F. Gerbeau. Computational analysis of an aortic valve jet with Lagrangian coherent structures. CHAOS 20:017512-1–017512-110, 2010.

    Google Scholar 

  29. Shadden, S. C., J. O. Dabiri, and J. E. Marsden. Lagrangian analysis of fluid transport in empirical vortex ring flows. Phys. Fluids 18(4):047105, 2006.

    Google Scholar 

  30. Shadden, S. C., and S. Hendabadi. Potential fluid mechanic pathways of platelet activation. Biomech. Model. Mechanobiol. 12(3):467–474, 2013.

    Article  PubMed  Google Scholar 

  31. Shadden, S. C., K. Katija, M. Rosenfeld, J. E. Marsden, and J. O. Dabiri. Transport and stirring induced by vortex formation. J. Fluid Mech. 593:315–332, 2007.

    Article  Google Scholar 

  32. Shadden, S. C., F. Lekien, J. E. Marsden. Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Physica D 212(3–4):271–304, 2005.

    Article  Google Scholar 

  33. Shadden, S. C., and C. A. Taylor. Characterization of coherent structures in the cardiovascular system. Ann. Biomed. Eng. 36(7):1152–1162, 2008.

    Article  PubMed  Google Scholar 

  34. St John Sutton, M., J. E. Otterstat, T. Plappert, A. Parker, D. Sekarski, M. G. Keane, P. Poole-Wilson, and K. Lubsen. Quantitation of left ventricular volumes and ejection fraction in post-infarction patients from biplane and single plane two-dimensional echocardiograms a prospective longitudinal study of 371 patients. Eur. Heart J. 19(5):808–816, 1998.

    Article  PubMed  CAS  Google Scholar 

  35. Takatsuji, H., T. Mikami, K. Urasawa, J. I. Teranishi, H. Onozuka, C. Takagi, Y. Makita, H. Matsuo, H. Kusuoka, A. Kitabatake. A new approach for evaluation of left ventricular diastolic function: spatial and temporal analysis of left ventricular filling flow propagation by color M-mode Doppler echocardiography. J. Am. Coll. Cardiol. 27(2):365–371, 1996.

    Article  PubMed  CAS  Google Scholar 

  36. Thomas, J. D., and Z. B. Popovic. Assessment of left ventricular function by cardiac ultrasound. J. Am. Coll. Cardiol. 48(10):2012–2015, 2006.

    Article  PubMed  Google Scholar 

  37. Thomas, J. D., and A. E. Weyman. Echocardiographic Doppler evaluation of left ventricular diastolic function: physics and physiology. Circulation 84(3):977–990, 1991.

    Article  PubMed  CAS  Google Scholar 

  38. Toger, J., M. Kanski, M. Carlsson, A. Kovacs, G. Soderlind, H. Arheden, and E. Heiberg. Vortex ring formation in the left ventricle of the heart: analysis by 4D flow MRI and Lagrangian coherent structures. Ann. Biomed. Eng. 40(12):2652–2662, 2012.

    Article  PubMed  Google Scholar 

  39. Uejima T., A. Koike, H. Sawada, T. Aizawa, S. Ohtsuki, M. Tanaka, T. Furukawa, and A. G. Fraser. A new echocardiographic method for identifying vortex flow in the left ventricle: numerical validation. Ultrasound Med. Biol. 36(5):772–788, 2010.

    Article  PubMed  Google Scholar 

  40. Vétel, J., A. Garon, and D. Pelletier. Lagrangian coherent structures in the human carotid artery bifurcation. Exp. Fluids 46:1067–1079, 2009.

    Article  Google Scholar 

  41. Xu, Z., N. Chen, S. C. Shadden, J. E. Marsden, M. M. Kamocka, E. D. Rosen, and M. Alber. Study of blood flow impact on growth of thrombi using a multiscale model. Soft Matter 5:769–779, 2009.

    Article  CAS  Google Scholar 

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Acknowledgments

This work was supported by the NIH National Heart, Lung and Blood Institute, award 5R21HL108268, and by grants (PIS09/02603 and RD06/0010) from the Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica, Instituto de Salud Carlos III–Ministerio de Economía y Competitividad, Spain.

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The authors do not have any conflicts of interest in regards to this study.

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Correspondence to Shawn C. Shadden.

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Associate Editor Ender A. Finol oversaw the review of this article.

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Hendabadi, S., Bermejo, J., Benito, Y. et al. Topology of Blood Transport in the Human Left Ventricle by Novel Processing of Doppler Echocardiography. Ann Biomed Eng 41, 2603–2616 (2013). https://doi.org/10.1007/s10439-013-0853-z

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