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.
Similar content being viewed by others
References
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.
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.
Arzani, A., and S. C. Shadden. Characterization of the transport topology in patient-specific abdominal aortic aneurysm models. Phys. Fluids 24(8):081901, 2012.
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.
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.
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.
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.
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.
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.
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.
Gaasch, W. H., and M. R. Zile. Left ventricular diastolic dysfunction and diastolic heart failure. Annu. Rev. Med. 55:373–394, 2004.
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.
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
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.
Irisawa, H., M. F. Wilson, and R. F. Rushmer. Left ventricle as a mixing chamber. Circ. Res. 8(1):183–187, 1960.
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.
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.
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.
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.
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.
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.
Persson, P.O., and G. Strang. A simple mesh generator in matlab. SIAM Rev. 46(2):329–345, 2004.
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.
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.
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.
Shadden, S. C. Lagrangian coherent structures in blood flow. In: 61st Annual Meeting of the APS Division of Fluid Dynamics, number 15, 2008.
Shadden, S. C. Lagrangian coherent structures. In: Transport and Mixing in Laminar Flows. Weinheim: Wiley-VCH Verlag GmbH & Co. KGaA, 2011, pp. 59–89.
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.
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.
Shadden, S. C., and S. Hendabadi. Potential fluid mechanic pathways of platelet activation. Biomech. Model. Mechanobiol. 12(3):467–474, 2013.
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.
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.
Shadden, S. C., and C. A. Taylor. Characterization of coherent structures in the cardiovascular system. Ann. Biomed. Eng. 36(7):1152–1162, 2008.
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.
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.
Thomas, J. D., and Z. B. Popovic. Assessment of left ventricular function by cardiac ultrasound. J. Am. Coll. Cardiol. 48(10):2012–2015, 2006.
Thomas, J. D., and A. E. Weyman. Echocardiographic Doppler evaluation of left ventricular diastolic function: physics and physiology. Circulation 84(3):977–990, 1991.
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.
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.
Vétel, J., A. Garon, and D. Pelletier. Lagrangian coherent structures in the human carotid artery bifurcation. Exp. Fluids 46:1067–1079, 2009.
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.
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.
Conflict of interest
The authors do not have any conflicts of interest in regards to this study.
Author information
Authors and Affiliations
Corresponding author
Additional information
Associate Editor Ender A. Finol oversaw the review of this article.
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10439-013-0853-z