[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content

Advertisement

Log in

Influence of aortic valve morphology on vortical structures and wall shear stress

  • Original Article
  • Published:
Medical & Biological Engineering & Computing Aims and scope Submit manuscript

Abstract

The aim of this paper is to assess the association between valve morphology and vortical structures quantitatively and to highlight the influence of valve morphology/orientation on aorta’s susceptibility to shear stress, both proximal and distal. Four-dimensional phase-contrast magnetic resonance imaging (4D PCMRI) data of 6 subjects, 3 with tricuspid aortic valve (TAV) and 3 with functionally bicuspid aortic values (BAV) with right-left coronary leaflet fusion, were processed and analyzed for vorticity and wall shear stress trends. Computational fluid dynamics (CFD) has been used with moving TAV and BAV valve designs in patient-specific aortae to compare with in vivo shear stress data. Vorticity from 4D PCMRI data about the aortic centerline demonstrated that TAVs had a higher number of vortical flow structures than BAVs at peak systole. Coalescing of flow structures was shown to be possible in the arch region of all subjects. Wall shear stress (WSS) distribution from CFD results at the aortic root is predominantly symmetric for TAVs but highly asymmetric for BAVs with the region opposite the raphe (fusion location of underdeveloped leaflets) being subjected to higher WSS. Asymmetry in the size and number of leaflets in BAVs and TAVs significantly influence vortical structures and WSS in the proximal aorta for all valve types and distal aorta for certain valve orientations of BAV.

Graphical Abstract

Analysis of vortical structures using 4D PCMRI data (on the left side) and wall shear stress data using CFD (on the right side).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Tretter JT, Spicer DE, Mori S, Chikkabyrappa S, Redington AN, Anderson RH (2016) The significance of the interleaflet triangles in determining the morphology of congenitally abnormal aortic valves: implications for noninvasive imaging and surgical management. J Am Soc Echocardiogr 29(12):1131–1143. https://doi.org/10.1016/j.echo.2016.08.017

    Article  PubMed  Google Scholar 

  2. Sundström E et al (2020) Effects of normal variation in the rotational position of the aortic root on hemodynamics and tissue biomechanics of the thoracic aorta. Cardiovasc Eng Technol 11(1):47–58. https://doi.org/10.1007/s13239-019-00441-2

    Article  PubMed  Google Scholar 

  3. Bech-Hanssen O, Svensson F, Polte CL, Johnsson ÅA, Gao SA, Lagerstrand KM (2018) Characterization of complex flow patterns in the ascending aorta in patients with aortic regurgitation using conventional phase-contrast velocity MRI. Int J Cardiovasc Imaging 34(3):419–429. https://doi.org/10.1007/s10554-017-1239-3

    Article  PubMed  Google Scholar 

  4. Marom G, Kim HS, Rosenfeld M, Raanani E, Haj-Ali R (2013) Fully coupled fluid-structure interaction model of congenital bicuspid aortic valves: effect of asymmetry on hemodynamics. Med Biol Eng Comput 51(8):839–848. https://doi.org/10.1007/s11517-013-1055-4

    Article  PubMed  Google Scholar 

  5. Sundström E, Tretter J (2022) Impact of variation in interleaflet triangle height between fused leaflets in the functionally bicuspid aortic valve on hemodynamics and tissue biomechanics. J Eng Sci Med Diagnostics Ther. https://doi.org/10.1115/1.4053942

    Article  Google Scholar 

  6. Sievers HH, Schmidtke C (2007) A classification system for the bicuspid aortic valve from 304 surgical specimens. J Thorac Cardiovasc Surg 133(5):1226–1233. https://doi.org/10.1016/j.jtcvs.2007.01.039

    Article  PubMed  Google Scholar 

  7. Saikrishnan N, Mirabella L, Yoganathan AP (2015) Bicuspid aortic valves are associated with increased wall and turbulence shear stress levels compared to trileaflet aortic valves. Biomech Model Mechanobiol 14(3):577–588. https://doi.org/10.1007/s10237-014-0623-3

    Article  PubMed  Google Scholar 

  8. Meierhofer C et al (2013) Wall shear stress and flow patterns in the ascending aorta in patients with bicuspid aortic valves differ significantly from tricuspid aortic valves: a prospective study. Eur Heart J Cardiovasc Imaging 14(8):797–804. https://doi.org/10.1093/ehjci/jes273

    Article  PubMed  Google Scholar 

  9. Huntley GD et al (2018) Comparative study of bicuspid vs. tricuspid aortic valve stenosis. Eur Heart J Cardiovasc Imaging 19(1):3–8. https://doi.org/10.1093/ehjci/jex211

    Article  PubMed  Google Scholar 

  10. H Hatoum and LP Dasi (2018) “Sinus hemodynamics in representative stenotic native bicuspid and tricuspid aortic valves: an in-vitro study,” Fluids 3(3) https://doi.org/10.3390/fluids3030056.

  11. Gilmanov A, Sotiropoulos F (2016) Comparative hemodynamics in an aorta with bicuspid and trileaflet valves. Theor Comput Fluid Dyn 30(1–2):67–85. https://doi.org/10.1007/s00162-015-0364-7

    Article  CAS  Google Scholar 

  12. E Sundström et al. (2020) “Hemodynamics and tissue biomechanics of the thoracic aorta with a trileaflet aortic valve at different phases of valve opening,” Int J Numer Method Biomed Eng 1–14 https://doi.org/10.1002/cnm.3345.

  13. Biglino G, Capelli C, Bruse J, Bosi GM, Taylor AM, Schievano S (2017) Computational modelling for congenital heart disease: how far are we from clinical translation? Heart 103(2):98–103. https://doi.org/10.1136/heartjnl-2016-310423

    Article  PubMed  Google Scholar 

  14. Mahadevia R et al (2014) Bicuspid aortic cusp fusion morphology alters aortic three-dimensional outflow patterns, wall shear stress, and expression of aortopathy. Circulation 129(6):673–682. https://doi.org/10.1161/CIRCULATIONAHA.113.003026

    Article  CAS  PubMed  Google Scholar 

  15. Mirabella L et al (2015) MRI-based protocol to characterize the relationship between bicuspid aortic valve morphology and hemodynamics. Ann Biomed Eng 43(8):1815–1827. https://doi.org/10.1007/s10439-014-1214-2

    Article  PubMed  Google Scholar 

  16. A Mcnally, A Madan, and P Sucosky (2017) “Morphotype-dependent flow characteristics in bicuspid aortic valve ascending aortas : a benchtop particle image velocimetry study,” 8 (February) 1–11, https://doi.org/10.3389/fphys.2017.00044.

  17. Bonomi D et al (2015) Influence of the aortic valve leaflets on the fluid-dynamics in aorta in presence of a normally functioning bicuspid valve. Biomech Model Mechanobiol 14(6):1349–1361. https://doi.org/10.1007/s10237-015-0679-8

    Article  CAS  PubMed  Google Scholar 

  18. Barker AJ et al (2012) Bicuspid aortic valve is associated with altered wall shear stress in the ascending aorta. Circ Cardiovasc Imaging 5(4):457–466. https://doi.org/10.1161/CIRCIMAGING.112.973370

    Article  PubMed  Google Scholar 

  19. Yang K, Wu S, Zhang H, Ghista DN, Samuel OW, Wong KKL (2021) Lagrangian-averaged vorticity deviation of spiraling blood flow in the heart during isovolumic contraction and ejection phases. Med Biol Eng Comput 59(7–8):1417–1430. https://doi.org/10.1007/s11517-021-02366-2

    Article  PubMed  Google Scholar 

  20. Chung KY, Belfort G, Edelstein WA, Li X (1993) Dean vortices in curved tube flow: 5. 3-D MRI and numerical analysis of the velocity field. AIChE J 39(10):1592–1602. https://doi.org/10.1002/aic.690391003

    Article  CAS  Google Scholar 

  21. Meng H, Tutino VM, Xiang J, Siddiqui A (2014) High WSS or Low WSS? Complex interactions of hemodynamics with intracranial aneurysm initiation, growth, and rupture: toward a unifying hypothesis. Am J Neuroradiol 35(7):1254–1262. https://doi.org/10.3174/ajnr.A3558

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  22. Moerman AM et al (2022) The correlation between wall shear stress and plaque composition in advanced human carotid atherosclerosis. Front Bioeng Biotechnol 9(January):1–9. https://doi.org/10.3389/fbioe.2021.828577

    Article  Google Scholar 

  23. Lorenz R, Bock J, Snyder J, Korvink JG, Jung BA, Markl M (2014) Influence of eddy current, Maxwell and gradient field corrections on 3D flow visualization of 3D CINE PC-MRI data. Magn Reson Med 72(1):33–40. https://doi.org/10.1002/mrm.24885

    Article  PubMed  Google Scholar 

  24. Antiga L, Piccinelli M, Botti L, Ene-Iordache B, Remuzzi A, Steinman DA (2008) An image-based modeling framework for patient-specific computational hemodynamics. Med Biol Eng Comput 46(11):1097–1112. https://doi.org/10.1007/s11517-008-0420-1

    Article  PubMed  Google Scholar 

  25. Hess AT et al (2015) Aortic 4D flow: quantification of signal-to-noise ratio as a function of field strength and contrast enhancement for 1.5T, 3T, and 7T. Magn Reson Med 73(5):1864–1871. https://doi.org/10.1002/mrm.25317

    Article  PubMed  Google Scholar 

  26. Van Ooij P, Powell AL, Potters WV, Carr JC, Markl M, Barker AAJ (2016) Reproducibility and interobserver variability of systolic blood flow velocity and 3D wall shear stress derived from 4D flow MRI in the healthy aorta. J Magn Reson Imaging 43(1):236–248. https://doi.org/10.1002/jmri.24959

    Article  PubMed  Google Scholar 

  27. Stalder AF, Russe MF, Frydrychowicz A, Bock J, Hennig J, Markl M (2008) Quantitative 2D and 3D phase contrast MRI: optimized analysis of blood flow and vessel wall parameters. Magn Reson Med 60(5):1218–1231. https://doi.org/10.1002/mrm.21778

    Article  CAS  PubMed  Google Scholar 

  28. Wood NB (1999) Aspects of fluid dynamics applied to the larger arteries. J Theor Biol 199(2):137–161. https://doi.org/10.1006/jtbi.1999.0953

    Article  CAS  PubMed  Google Scholar 

  29. Morbiducci U et al (2015) A rational approach to defining principal axes of multidirectional wall shear stress in realistic vascular geometries, with application to the study of the influence of helical flow on wall shear stress directionality in aorta. J Biomech 48(6):899–906. https://doi.org/10.1016/j.jbiomech.2015.02.027

    Article  PubMed  Google Scholar 

  30. Koenraadt WMC et al (2016) The extent of the raphe in bicuspid aortic valves is associated with aortic regurgitation and aortic root dilatation. Netherlands Hear J 24(2):127–133. https://doi.org/10.1007/s12471-015-0784-4

    Article  CAS  Google Scholar 

  31. Miyazaki S et al (2017) Validation of numerical simulation methods in aortic arch using 4D flow MRI. Heart Vessels 32(8):1032–1044. https://doi.org/10.1007/s00380-017-0979-2

    Article  PubMed  Google Scholar 

  32. T Sochi (2013) “Non-Newtonian rheology in blood circulation,” 1–26, [Online]. Available: http://arxiv.org/abs/1306.2067.

  33. De Vita F, de Tullio MD, Verzicco R (2016) Numerical simulation of the non-Newtonian blood flow through a mechanical aortic valve: non-Newtonian blood flow in the aortic root. Theor Comput Fluid Dyn 30(1–2):129–138. https://doi.org/10.1007/s00162-015-0369-2

    Article  CAS  Google Scholar 

  34. Sotelo J et al (2018) Three-dimensional quantification of vorticity and helicity from 3D cine PC-MRI using finite-element interpolations. Magn Reson Med 79(1):541–553. https://doi.org/10.1002/mrm.26687

    Article  PubMed  Google Scholar 

  35. J Von Spiczak, G Crelier, D Giese, S Kozerke, D Maintz, and AC Bunck, (2015) “Quantitative analysis of vortical blood flow in the thoracic aorta using 4D phase contrast MRI,” PLoS One 10 (9). https://doi.org/10.1371/journal.pone.0139025.

  36. Hope TA, Markl M, Wigström L, Alley MT, Miller DC, Herfkens RJ (2007) Comparison of flow patterns in ascending aortic aneurysms and volunteers using four-dimensional magnetic resonance velocity mapping. J Magn Reson Imaging 26(6):1471–1479. https://doi.org/10.1002/jmri.21082

    Article  PubMed  Google Scholar 

  37. Toninato R, Salmon J, Susin FM, Ducci A, Burriesci G (2016) Physiological vortices in the sinuses of Valsalva: an in vitro approach for bio-prosthetic valves. J Biomech 49(13):2635–2643. https://doi.org/10.1016/j.jbiomech.2016.05.027

    Article  PubMed  PubMed Central  Google Scholar 

  38. Shibayama K et al (2014) Comparison of aortic root geometry with bicuspid versus tricuspid aortic valve: real-time three-dimensional transesophageal echocardiographic study. J Am Soc Echocardiogr 27(11):1143–1152. https://doi.org/10.1016/j.echo.2014.07.008

    Article  PubMed  Google Scholar 

  39. Frydrychowicz A et al (2009) Three-dimensional analysis of segmental wall shear stress in the aorta by flow-sensitive four-dimensional-MRI. J Magn Reson Imaging 30(1):77–84. https://doi.org/10.1002/jmri.21790

    Article  PubMed  Google Scholar 

  40. Petersson S, Dyverfeldt P, Ebbers T (2012) Assessment of the accuracy of MRI wall shear stress estimation using numerical simulations. J Magn Reson Imaging 36(1):128–138. https://doi.org/10.1002/jmri.23610

    Article  PubMed  Google Scholar 

  41. So RMC, Anwer M (1993) Swirling turbulent flow through a curved pipe: part 2 recovery from swirl and bend curvature. Exp Fluids Exp Methods their Appl to Fluid Flow 14(3):169–177. https://doi.org/10.1007/BF00189507

    Article  CAS  Google Scholar 

  42. E Faggiano, L Antiga, G Puppini, A Quarteroni, and G Battista (2013) “Helical flows and asymmetry of blood jet in dilated ascending aorta with normally functioning bicuspid valve,” 801–813 https://doi.org/10.1007/s10237-012-0444-1.

  43. Bissell MM et al (2013) Aortic dilation in bicuspid aortic valve disease: flow pattern is a major contributor and differs with valve fusion type. Circ Cardiovasc Imaging 6(4):499–507. https://doi.org/10.1161/CIRCIMAGING.113.000528

    Article  PubMed  Google Scholar 

Download references

Funding

The authors acknowledge the support from the Swedish Research Council, grant no. 2021–04894.

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the study’s conception and design. Data collection and material preparation were done by Shae Anderson and Amol S. Pednekar. Modeling, simulation, and analysis were performed by Raghuvir Jonnagiri with support from Elias Sundström. The first draft of the manuscript was written by Raghuvir Jonnagiri, and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Raghuvir Jonnagiri.

Ethics declarations

Ethics approval

Only de-identified data was used. Cincinnati Children’s Hospital Medical Center’s (CCHMC) Ethics Committee has confirmed that no ethical approval is required.

Conflict of interest

The authors declare no competing interests.

Additional information

Publisher's note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Appendix

Appendix

Fig. 14
figure 14

Sensitivity analysis for number of flow structures as defined by vorticity direction method at peak systole. Images a, b, c, and d represent data with different threshold values of vorticities as percentage of maximum vorticity ignored as noise

Fig. 15
figure 15

Sensitivity analysis for size of flow structures as defined by vorticity direction method at peak systole. Images a, b, c, and d represent data with different threshold values of vorticities as percentage of maximum vorticity ignored as noise

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jonnagiri, R., Sundström, E., Gutmark, E. et al. Influence of aortic valve morphology on vortical structures and wall shear stress. Med Biol Eng Comput 61, 1489–1506 (2023). https://doi.org/10.1007/s11517-023-02790-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11517-023-02790-6

Keywords