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Blood Flow Simulations for the Design of Stented Valve Reducer in Enlarged Ventricular Outflow Tracts

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Abstract

Tetralogy of Fallot is a congenital heart disease characterized over time, after the initial repair, by the absence of a functioning pulmonary valve, which causes regurgitation, and by progressive enlargement of the right ventricle outflow tract (RVOT). Due to this pathological anatomy, available transcatheter valves are usually too small to be deployed there. To avoid surgical valve replacement, an alternative consists in implanting a reducer prior to or in combination with the valve. It has been shown in animal experiments to be promising, but with some limitations. The effect of a percutaneous pulmonary valve reducer on hemodynamics in enlarged RVOT is thus studied by computational modeling. To this aim, blood flow in the RVOT is modeled with CFD coupled to a simplified valve model and 0D downstream models. Simulations are performed in an image-based geometry and boundary conditions tuned to reproduce the pathological flow without the device. Different device designs are built and compared with the initial device-free state, or with the reducer alone. Results suggest that pressure loss is higher for the reducer alone than for the full device, and that the latter successfully restores hemodynamics to a healthy state and induces a more symmetric flow in the pulmonary arteries. Moreover, pressure forces on the reducer and on the valve have the same magnitudes. Migration would occur towards the right ventricle rather than the pulmonary arteries. Results support the thesis that the reducer does not introduce clinically significant pressure gradients, as was found in animal experiments. Such study could help transfer to patients.

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Notes

  1. https://www-roc.inria.fr/gamma/gamma/ghs3d/ghs.php.

  2. http://biomedical.materialise.com/3-matic-0/.

References

  1. Amahzoune, B., C. Szymansky, J. N. Fabiani, and R. Zegdi. A new endovascular size reducer for large pulmonary outflow tract. Eur. J. Cardio-Thoracic Surg. 37(3):730–732, 2010.

    Article  Google Scholar 

  2. Arbia, G., C. Corsini, C. Baker, G. Pennati, T. Y. Hsia, and I. E. Vignon-Clementel for MOCHA. Pulmonary hemodynamics simulations before stage 2 single ventricle surgery: patient-specific parameter identification and clinical data assessment. Cardiovasc. Eng. Technol., 2015. DOI:10.1007/s13239-015-0212-3.

  3. Astorino, M., J. F. Gerbeau, O. Pantz, and K. F. Traoré. Fluid-structure interaction and multi-body contact. application to the aortic valves. Comput. Methods Appl. Mech. Eng. 198(46–46):3603–3612, 2009.

    Article  MATH  Google Scholar 

  4. Astorino, M., J. Hamers, S. Shadden, and J. F. Gerbeau. A robust and efficient valve model based on resistive immersed surfaces. Int. J. Numer. Method Biomed. Eng. 28(9):937–959, 2012.

    Article  MathSciNet  Google Scholar 

  5. Bertoglio, C. and A. Caiazzo. A tangential regularization method for backflow stabilization with application to blood flow simulations. J. Comput. Phys. 261(1800):162–171, 2013.

    MathSciNet  Google Scholar 

  6. Bonhoeffer, P., Y. Boudjemline, Z. Saliba, A. Hausse, Y. Aggoun, D. Bonnet, D. Sidi, and J. Kachaner. Transcatheter implantation of a bovine valve in pulmonary position: a lamb study. Circulation 102(7):813–816, 2000.

    Article  Google Scholar 

  7. Botney, M. D. Role of hemodynamics in pulmonary vascular remodeling: implications for primary pulmonary hypertension. Am. J. Respir. Crit. Care Med. 159(2):361–4, 1999. DOI:10.1164/ajrccm.159.2.9805075.

    Article  Google Scholar 

  8. Boudjemline, Y., G. Agnoletti, D. Bonnet, D. Sidi, and P. Bonhoeffer. Percutaneous pulmonary valve replacement in a large right ventricular outflow tract: an experimental study. J. Am. Coll. Cardiol. 43(6):1082–1087, 2004. DOI:10.1016/j.jacc.2003.10.037.

    Article  Google Scholar 

  9. Cabrera, M., C. Oomens, C. Bouten, A. Bogers, S. Hoerstrup, and F. Baaijens. Mechanical analysis of ovine and pediatric pulmonary artery for heart valve stent design. J. Biomech. 46(12), 2075–2081, 2013.

    Article  Google Scholar 

  10. Caiazzo, A., M. Fernández, J. F. Gerbeau, and V. Martin. Projection schemes for fluid flows through a porous interface. SIAM J. Sci. Comput. 33(2):541–564, 2011.

    Article  MATH  MathSciNet  Google Scholar 

  11. Chorin, A. Numerical solution of the Navier-Stokes equations. Math. Comput. 22:745–762, 1968.

    Article  MATH  MathSciNet  Google Scholar 

  12. Das, A., W. M. Gottliebson, M. Karve, and R. Banerjee. Comparison of hemodynamic endpoints between normal subject and tetralogy patient using Womersley velocity profile and MR based flow measurements. Mol. Cell. Biomech. 8(1):21–42, 2011

    Google Scholar 

  13. Fernández, M., J. F. Gerbeau, and V. Martin. Numerical simulation of blood flows through a porous interface. Math. Mod. Num. An. (M2AN) 42(6):961–990, 2008.

  14. Fogel, M. A., K. S. Sundareswaran, D. de Zelicourt, L. P. Dasi, T. Pawlowski, J. Rome, and A. P. Yoganathan. Power loss and right ventricular efficiency in patients after tetralogy of fallot repair with pulmonary insufficiency: Clinical implications. J. Thoracic Cardiovasc. Surg. 143(6):1279–1285, 2012. DOI:10.1016/j.jtcvs.2011.10.066.

    Article  Google Scholar 

  15. Frank, O. Die Grundform Des Arteriellen Pulses. Zeitung für Biologie 37:483–586, 1899.

    Google Scholar 

  16. Geiger, J., M. Markl, B. Jung, J. Grohmann, B. Stiller, M. Langer, and R. Arnold. 4d-mr flow analysis in patients after repair for tetralogy of fallot. Eur. Radiol. 21:1651–1657, 2011.

    Article  Google Scholar 

  17. George, P., H. Borouchaki, and E. Saltel. Ultimate robustness in meshing an arbitrary polyhedron. Int. J. Numer. Methods Eng. IJNME 58:1061–1089, 2003.

  18. Guermond, J. L., P. Minev, and J. Shen. An overview of projection methods for incompressible flows. Comput. Methods Appl. Mech. Eng. 195:6011–6045, 2006.

    Article  MATH  MathSciNet  Google Scholar 

  19. Guibert, R., K. Mcleod, A. Caiazzo, T. Mansi, M. A. Fernández, M. Sermesant, X. Pennec, I. E. Vignon-Clementel, Y. Boudjemline, and J. F. Gerbeau. Group-wise construction of reduced models for understanding and characterization of pulmonary blood flows from medical images. Med. Image Anal. 18(1):63–82, 2014.

    Article  Google Scholar 

  20. Kilner, P. J., R. Balossino, G. Dubini, S. V. Babu-Narayan, A. M. Taylor, G. Pennati, and F. Migliavacca. Pulmonary regurgitation: the effects of varying pulmonary artery compliance, and of increased resistance proximal or distal to the compliance. Int. J. Cardiol. 133(2):157–166, 2009. DOI:10.1016/j.ijcard.2008.06.078.

    Article  Google Scholar 

  21. Lurz, P., P. Bonhoeffer, and A. M. Taylor. Percutaneous pulmonary valve implantation: an update. Expert Rev. Cardiovasc. Ther. 7(7):823–33, 2009. DOI:10.1586/erc.09.57.

    Article  Google Scholar 

  22. McLeod, K., A. Caiazzo, M. A. Fernández, T. Mansi, I. E. Vignon-Clementel, M. Sermesant, X. Pennec, Y. Boudjemline, and J. F. Gerbeau. Atlas-based reduced models of blood flows for fast patient-specific simulations. In: Proceedings of MICCAI Workshop on Statistical Atlases and Computational Models of the Heart: Mapping Structure and Function + a Cardiac Electrophysiological Simulation Challenge (STACOM+CESC’10). Lecture Notes in Computer Science, vol. 6364. Beijing: Springer, pp. 95–104, 2010.

  23. Mollet, A., A. Basquin, B. Stos, and Y. Boudjemline. Off-pump replacement of the pulmonary valve in large right ventricular outflow tracts: a transcatheter approach using an intravascular infundibulum reducer. Pediatr. Res. 62(4):428–433, 2007.

    Article  Google Scholar 

  24. Momenah, T. S., R. El Oakley, K. Al Najashi, S. Khoshhal, H. Al Qethamy, and P. Bonhoeffer. Extended application of percutaneous pulmonary valve implantation. J. Am. Coll. Cardiol. 53(20):1859–1863, 2009. DOI:10.1016/j.jacc.2008.08.061.

    Article  Google Scholar 

  25. Pant, S., B. Fabrèges, J. F. Gerbeau, and I. Vignon-Clementel. A methodological paradigm for patient-specific multi-scale cfd simulations: from clinical measurements to parameter estimates for individual analysis. Int. J. Numer. Methods Biomed. Eng. 30(12):1614–1648, 2014.

    Article  Google Scholar 

  26. Prasad, A., L. K. To, M. L. Gorrepati, C. K Zarins, and C. A. Figueroa. Computational analysis of stresses acting on intermodular junctions in thoracic aortic endografts. J. Endovasc. Ther. 18(4):559–68, 2011. DOI:10.1583/11-3472.1.

    Article  Google Scholar 

  27. Preston-Maher, G. L., R. Torii, and G. Burriesci. A technical review of minimally invasive mitral valve replacements. Cardiovasc. Eng. Technol., 2014.

  28. Schievano, S., L. Coats, F. Migliavacca, W. Norman, A. Frigiola, J. Deanfield, P. Bonhoeffer, and A. M. Taylor. Variations in right ventricular outflow tract morphology following repair of congenital heart disease: implications for percutaneous pulmonary valve implantation. J. Cardiovasc. Magn. Reson. 9(4):687–695, 2007. DOI:10.1080/10976640601187596.

    Article  Google Scholar 

  29. Schievano, S., A. M. Taylor, C. Capelli, P. Lurz, J. Nordmeyer, F. Migliavacca, and P. Bonhoeffer. Patient specific finite element analysis results in more accurate prediction of stent fractures: application to percutaneous pulmonary valve implantation. J. Biomech. 43(4):687–693, 2010. DOI:10.1016/j.jbiomech.2009.10.024.

    Article  Google Scholar 

  30. Si, H. TetGen: A Quality Tetrahedral Mesh Generator and a 3D Delaunay Triangulator. Tech. Rep. 1762, WIAS, Berlin, 2013.

  31. Tang, D., C. Yang, T. Geva, and P. J. Del Nido. Patient-specific mri-based 3d fsi rv/lv/patch models for pulmonary valve replacement surgery and patch optimization. J. Biomech. Eng. 130(4):041,010, 2008. 18601452.

  32. Tang, B. T., T. A. Fonte, F. P. Chan, P. S. Tsao, J. A. Feinstein, and C. A. Taylor. Three-dimensional hemodynamics in the human pulmonary arteries under resting and exercise conditions. Ann. Biomed. 39(1):347–58, 2011

    Article  Google Scholar 

  33. Temam, R. Une méthode d’approximation de la solution des équations de Navier-Stokes. Bull. Soc. Math. France 96:115–152, 1968.

    MATH  MathSciNet  Google Scholar 

  34. Troianowski, G., C. A. Taylor, J. A. Feinstein, and I. E. Vignon-Clementel. Three-dimensional simulations in glenn patients: clinically based boundary conditions, hemodynamic results and sensitivity to input data. J. Biomech. Eng. Trans. Asme 133(11), 2011.

  35. Vignon-Clementel, I., C. Figueroa, K. Jansen, and C. Taylor. Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries. Comput. Method Biomech. Biomed. Eng. 111(3):502–513, 2010.

    Google Scholar 

  36. Vignon-Clementel, I.E., A. L. Marsden, and J. A. Feinstein. A primer on computational simulation in congenital heart disease for the clinician. Prog. Pediatr. Cardiol. 30(1–2):3–13, 2010. DOI:10.1016/j.ppedcard.2010.09.002.

    Article  Google Scholar 

  37. Voser, E. M., C. J. Kellenberger, and E. R. V. Buechel. Effects of pulmonary regurgitation on distensibility and flow of the branch pulmonary arteries in tetralogy of fallot. Pediatr. Cardiol. 34:1118–1124, 2013.

    Article  Google Scholar 

  38. Yang, W., I. E. Vignon-Clementel, G. Troianowski, V. M. Reddy, J. A. Feinstein, and A. L Marsden. Hepatic blood flow distribution and performance in conventional and novel Y-graft Fontan geometries: a case series computational fluid dynamics study. J. Thorac. Cardiovasc. Surg., 2011. DOI:10.1016/j.jtcvs.2011.06.042.

    Google Scholar 

  39. Yun, B. M., L. P. Dasi, C. K. Aidun, and A. P. Yoganathan. Computational modelling of flow through prosthetic heart valves using the entropic lattice-boltzmann method. J. Fluid Mech. 743:170–201, 2014. DOI:10.1017/jfm.2014.54.

    Article  MathSciNet  Google Scholar 

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Acknowledgments

The authors gratefully acknowledge Kristin McLeod, formerly at Asclepios project team, INRIA Sophia-Antipolis Mediterranée, France, now at Simula Research Laboratory, Oslo, for the device-free geometry reconstruction from MRI and Jean-Frédéric Gerbeau, REO project team, INRIA Paris-Rocquencourt, France, for initiating the SIRAP project. A. Caiazzo, R. Guibert, Y. Boudjemline and I. E. Vignon-Clementel declare that they have no conflict of interest. No human studies were carried out by the authors for this article. No animal studies were carried out by the authors for this article.

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Correspondence to Alfonso Caiazzo.

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Associate Editor Ajit P. Yoganathan oversaw the review of this article.

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Caiazzo, A., Guibert, R., Boudjemline, Y. et al. Blood Flow Simulations for the Design of Stented Valve Reducer in Enlarged Ventricular Outflow Tracts. Cardiovasc Eng Tech 6, 485–500 (2015). https://doi.org/10.1007/s13239-015-0240-z

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