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Annals of Biomedical Engineering

, Volume 44, Issue 2, pp 508–522 | Cite as

Oxygen Mass Transport in Stented Coronary Arteries

  • Eoin A. MurphyEmail author
  • Adrian S. Dunne
  • David M. Martin
  • Fergal J. Boyle
Medical Stents: State of the Art and Future Directions

Abstract

Oxygen deficiency, known as hypoxia, in arterial walls has been linked to increased intimal hyperplasia, which is the main adverse biological process causing in-stent restenosis. Stent implantation has significant effects on the oxygen transport into the arterial wall. Elucidating these effects is critical to optimizing future stent designs. In this study the most advanced oxygen transport model developed to date was assessed in two test cases and used to compare three coronary stent designs. Additionally, the predicted results from four simplified blood oxygen transport models are compared in the two test cases. The advanced model showed good agreement with experimental measurements within the mass-transfer boundary layer and at the luminal surface; however, more work is needed in predicting the oxygen transport within the arterial wall. Simplifying the oxygen transport model within the blood flow produces significant errors in predicting the oxygen transport in arteries. This study can be used as a guide for all future numerical studies in this area and the advanced model could provide a powerful tool in aiding design of stents and other cardiovascular devices.

Keywords

Coronary artery disease Stents In-stent restenosis Hypoxia Computational fluid dynamics 

Notes

Acknowledgements

The authors wish to acknowledge the DJEI/DES/SFI/HEA Irish Centre for High-End Computing (ICHEC) for the provision of computational facilities and support. Also, the first author would like to express his appreciation to the Fiosraigh PhD Scholarship Programme at Dublin Institute of Technology for its support of this research.

References

  1. 1.
    Camenzind, E., P. G. Steg, and W. Wijns. Stent thrombosis late after implantation of first-generation drug-eluting stents: a cause for concern. Circulation 115:1440–1455, 2007; (discussion 1455).CrossRefPubMedGoogle Scholar
  2. 2.
    Caputo M, C. Chiastra, C. Cianciolo, et al. Simulation of oxygen transfer in stented arteries and correlation with in-stent restenosis. Int J Numer Method Biomed Eng. 29:1373–1387, 2013.CrossRefGoogle Scholar
  3. 3.
    Caro, C. G., T. J. Pedley, R. C. Schroter, and W. A. Seed. Mechanics of the Circulation. Oxford: Oxford University Press, 1978.Google Scholar
  4. 4.
    Carroll, G. T., P. D. Devereux, D. N. Ku, T. M. McGloughlin, and M. T. Walsh. Experimental validation of convection-diffusion discretisation scheme employed for computational modelling of biological mass transport. Biomed Eng Online. 9:34, 2010.PubMedCentralCrossRefPubMedGoogle Scholar
  5. 5.
    Cha, W., and R. L. Beissinger. Evaluation of shear-induced particle diffusivity in red cell ghosts suspensions. Korean J. Chem. Eng. 18:479–485, 2001.CrossRefGoogle Scholar
  6. 6.
    Cheema, A. N., T. Hong, N. Nili, et al. Adventitial microvessel formation after coronary stenting and the effects of SU11218, a tyrosine kinase inhibitor. J. Am. Coll. Cardiol. 47:1067–1075, 2006.CrossRefPubMedGoogle Scholar
  7. 7.
    Coppola, G., and C. G. Caro. Arterial geometry, flow pattern, wall shear and mass transport: potential physiological significance. J. R. Soc. Interface 6:519–528, 2009.PubMedCentralCrossRefPubMedGoogle Scholar
  8. 8.
    Diller, T. E. Comparison of red cell augmented diffusion and platelet transport. J. Biomech. Eng. 110:161–163, 1988.CrossRefPubMedGoogle Scholar
  9. 9.
    Goldman, D. Theoretical models of microvascular oxygen transport to tissue. Microcirculation. 15:795–811, 2008.PubMedCentralCrossRefPubMedGoogle Scholar
  10. 10.
    Goldsmith, H. Red cell motions and wall interactions in tube flow. Fed Proc. 30:1578–1590, 1971.PubMedGoogle Scholar
  11. 11.
    Goldsmith, H., and J. Marlow. Flow behavior of erythrocytes. II. Particle motions in concentrated suspensions of ghost cells. J. Colloid Interface Sci. 71:383–407, 1979.CrossRefGoogle Scholar
  12. 12.
    Hill A V. The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curve. J Physiol. 41:iv–vii, 1910.Google Scholar
  13. 13.
    Holzapfel, G. A., R. W. Ogden, C. Lally, and P. J. Prendergast. Simulation of In-stent Restenosis for the Design of Cardiovascular Stents. Berlin Heidelberg: Springer, pp. 255–267, 2006.Google Scholar
  14. 14.
    Jung, H., J. W. Choi, and C. G. Park. Asymmetric flows of non-Newtonian fluids in symmetric stenosed artery. Korea Aust Rheol J. 16:101–108, 2004.Google Scholar
  15. 15.
    Kolandavel, M. K., E.-T. Fruend, S. Ringgaard, and P. G. Walker. The effects of time varying curvature on species transport in coronary arteries. Ann. Biomed. Eng. 34:1820–1832, 2006.PubMedCentralCrossRefPubMedGoogle Scholar
  16. 16.
    Ku, D. N., D. P. Giddens, C. K. Zarins, and S. Glagov. Pulsatile flow and atherosclerosis in the human carotid bifurcation. Positive correlation between plaque location and low oscillating shear stress. Arteriosclerosis. 5:293–302, 1985.CrossRefPubMedGoogle Scholar
  17. 17.
    Ma, P., X. Li, and D. N. Ku. Convective mass transfer at the carotid bifurcation. J. Biomech. 30:565–571, 1997.CrossRefPubMedGoogle Scholar
  18. 18.
    Martin, D. M., E. A. Murphy, and F. J. Boyle. Computational fluid dynamics analysis of balloon-expandable coronary stents: influence of stent and vessel deformation. Med. Eng. Phys. 36:1047–1056, 2014.CrossRefPubMedGoogle Scholar
  19. 19.
    Moore, J. A., and C. R. Ethier. Oxygen mass transfer calculations in large arteries. J. Biomech. Eng. 119:469–475, 1997.CrossRefPubMedGoogle Scholar
  20. 20.
    Murphy, E. A., and F. J. Boyle. Reducing in-stent restenosis through novel stent flow field augmentation. Cardiovasc Eng Technol. 3:353–373, 2012.CrossRefGoogle Scholar
  21. 21.
    Pittman, R. N. Regulation of tissue oxygenation. Colloq. Ser. Integr. Syst. Physiol. Mol. Funct. 3:1–100, 2011.Google Scholar
  22. 22.
    Popel, A. S. Theory of oxygen transport to tissue. Crit. Rev. Biomed. Eng. 17:257–321, 1989.PubMedGoogle Scholar
  23. 23.
    Richardson, R. B. Age-dependent changes in oxygen tension, radiation dose and sensitivity within normal and diseased coronary arteries-Part B: modeling oxygen diffusion into vessel walls. Int. J. Radiat. Biol. 84:849–857, 2008.CrossRefPubMedGoogle Scholar
  24. 24.
    Sanada, J.-I., O. Matsui, J. Yoshikawa, and T. Matsuoka. An experimental study of endovascular stenting with special reference to the effects on the aortic vasa vasorum. Cardiovasc. Intervent. Radiol. 21:45–49, 1998.CrossRefPubMedGoogle Scholar
  25. 25.
    Santilli, S. M., R. B. Stevens, J. G. Anderson, W. D. Payne, and M. D. Caldwell. Transarterial wall oxygen gradients at the dog carotid bifurcation. Am. J. Physiol. Hear Circ. Physiol. 268:H155–H161, 1995.Google Scholar
  26. 26.
    Santilli, S. M., A. S. Tretinyak, and E. S. Lee. Transarterial wall oxygen gradients at the deployment site of an intra-arterial stent in the rabbit. Am. J. Physiol. Heart Circ. Physiol. 279:H1518–H1525, 2000.PubMedGoogle Scholar
  27. 27.
    Stangeby, D. K., and C. R. Ethier. Computational analysis of coupled blood-wall arterial LDL transport. J. Biomech. Eng. 124:1–8, 2002.CrossRefPubMedGoogle Scholar
  28. 28.
    Tada, S. Numerical study of oxygen transport in a carotid bifurcation. Phys. Med. Biol. 55:3993–4010, 2010.CrossRefPubMedGoogle Scholar
  29. 29.
    Tarbell, J. M. Mass transport in arteries and the localization of atherosclerosis. Annu. Rev. Biomed. Eng. 5:79–118, 2003.CrossRefPubMedGoogle Scholar
  30. 30.
    Tsai, A. G., P. Cabrales, and M. Intaglietta. The physics of oxygen delivery: facts and controversies. Antioxid. Redox Signal. 12:683–691, 2010.PubMedCentralCrossRefPubMedGoogle Scholar
  31. 31.
    Tsai, A. G., P. C. Johnson, and M. Intaglietta. Oxygen gradients in the microcirculation. Physiol. Rev. 83:933–963, 2003.CrossRefPubMedGoogle Scholar
  32. 32.
    Vadapalli, A., R. N. Pittman, and A. S. Popel. Estimating oxygen transport resistance of the microvascular wall. Am. J. Physiol. Heart Circ. Physiol. 279:H657–H671, 2000.PubMedGoogle Scholar
  33. 33.
    Vavuranakis, M., F. Sigala, D. A. Vrachatis, et al. Quantitative analysis of carotid plaque vasa vasorum by CEUS and correlation with histology after endarterectomy. Vasa. 42:184–195, 2013.CrossRefPubMedGoogle Scholar

Copyright information

© Biomedical Engineering Society 2015

Authors and Affiliations

  1. 1.School of Mechanical and Design EngineeringDublin Institute of TechnologyDublin 1Ireland
  2. 2.CADFEM Ireland LtdDublin 2Ireland

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