Skip to main content
SpringerLink
Log in

An Immersed Boundary Method for Drug Release Applied to Drug Eluting Stents Dedicated to Arterial Bifurcations

  • Conference paper
  • First Online:
Numerical Mathematics and Advanced Applications 2011

  • 2052 Accesses

Abstract

We address an immersed boundary method applied to the study of cardiovascular drug eluting stents deployed in coronary bifurcations. The problem involves the interaction of arterial deformations, hemodynamics and controlled drug release. Resorting to an immersed boundary method facilitates the handling of complex stent pattern and simplifies the definition of the mathematical model for drug release.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. A.R. Assali, H.V. Assa, I. Ben-Dor, I. Teplitsky, A. Solodky, D. Brosh, S. Fuchs, and R. Kornowski. Drug-eluting stents in bifurcation lesions: To stent one branch or both? Catheterization and Cardiovascular Interventions, 68(6):891–896, 2006.

    Article  Google Scholar 

  2. P. Biscari, S. Minisini, D. Pierotti, G. Verzini, and P. Zunino. Controlled release with finite dissolution rate. SIAM Journal on Applied Mathematics, 71(3):731–752, 2011.

    Article  MathSciNet  MATH  Google Scholar 

  3. C. Collet, R.A. Costa, and A. Abizaid. Dedicated bifurcation analysis: dedicated devices. The international journal of cardiovascular imaging, 27(2):181–188, 2011.

    Article  Google Scholar 

  4. C. D’Angelo. Multiscale modeling of metabolism and transport phenomena in living tissues. Phd thesis, 2007.

    Google Scholar 

  5. C. D’Angelo and P. Zunino. Robust numerical approximation of coupled Stokes’ and Darcy’s flows applied to vascular hemodynamics and biochemical transport. ESAIM: Mathematical Modelling and Numerical Analysis, 45(3):447–476, 2011.

    Article  MathSciNet  Google Scholar 

  6. C. D’Angelo, P. Zunino, A. Porpora, S. Morlacchi, and F. Migliavacca. Model reduction strategies enable computational analysis of controlled drug release from cardiovascular stents. SIAM Journal on Applied Mathematics, 71(6):2312–2333, 2011.

    Article  MathSciNet  MATH  Google Scholar 

  7. V.B. Kolachalama, A.R. Tzafriri, D.Y. Arifin, and E.R. Edelman. Luminal flow patterns dictate arterial drug deposition in stent-based delivery. Journal of Controlled Release, 133(1):24–30, 2009.

    Article  Google Scholar 

  8. T. Lefevre, Y. Louvard, M.C. Morice, P. Dumas, C. Loubeyre, A. Benslimane, R.K. Premchand, N. Guillard, and J.-F. Piechaud. Stenting of bifurcation lesions: Classification, treatments, and results. Catheterization and Cardiovascular Interventions, 49(3):274–283, 2000.

    Article  Google Scholar 

  9. W.K. Liu, Y. Liu, D. Farrell, L. Zhang, X.S. Wang, Y. Fukui, N. Patankar, Y. Zhang, C. Bajaj, J. Lee, J. Hong, X. Chen, and H. Hsu. Immersed finite element method and its applications to biological systems. Computer Methods in Applied Mechanics and Engineering, 195(13–16):1722–1749, 2006.

    Article  MathSciNet  MATH  Google Scholar 

  10. M.A. Lovich and E.R. Edelman. Computational simulations of local vascular heparin deposition and distribution. American Journal of Physiology - Heart and Circulatory Physiology, 40(5):H2014–H2024, 1996.

    Google Scholar 

  11. M.C. Morice, P.W. Serruys, J. Eduardo Sousa, J. Fajadet, E.B. Hayashi, M. Perin, A. Colombo, G. Schuler, P. Barragan, G. Guagliumi, and R. Falotico. A randomized comparison of a sirolimus-eluting stent with a standard stent for coronary revascularization. New England Journal of Medicine, 346(23):1773–1780, 2002.

    Article  Google Scholar 

  12. S. Morlacchi, C. Chiastra, D. Gastaldi, G. Pennati, G. Dubini, and F. Migliavacca. Sequential structural and fluid dynamic numerical simulations of a stented bifurcated coronary artery. Journal of Biomechanical Engineering, 133(12):121010, 2011.

    Google Scholar 

  13. D.V. Sakharov, L.V. Kalachev, and D.C. Rijken. Numerical simulation of local pharmacokinetics of a drug after intravascular delivery with an eluting stent. Journal of Drug Targeting, 10(6):507–513, 2002.

    Article  Google Scholar 

  14. P. Zunino, C. D’Angelo, L. Petrini, C. Vergara, C. Capelli, and F. Migliavacca. Numerical simulation of drug eluting coronary stents: Mechanics, fluid dynamics and drug release. Computer Methods in Applied Mechanics and Engineering, 198(45–46):3633–3644, 2009.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. MOX – Department of Mathematics, Politecnico di Milano, p.zza Leonardo da Vinci 32, 20133, Milano, Italy

    L. Cattaneo, E. Cutrì & P. Zunino

  2. LaBS – Department of Structural Engineering, Bioengineering Department, Politecnico di Milano, p.zza Leonardo da Vinci 32, 20133, Milano, Italy

    C. Chiastra & S. Morlacchi

  3. LaBS – Department of Structural Engineering, Politecnico di Milano, p.zza Leonardo da Vinci 32, 20133, Milano, Italy

    F. Migliavacca

Authors
  1. L. Cattaneo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. Chiastra
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. Cutrì
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. F. Migliavacca
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. S. Morlacchi
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. P. Zunino
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. Zunino .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, University of Leicester, Leicester, LE!1 7RH, United Kingdom

    Andrea Cangiani

  2. , Department of Mathematics, University of Leicester, Leicester, LE1 7RL, United Kingdom

    Ruslan L. Davidchack

  3. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Emmanuil Georgoulis

  4. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Alexander N. Gorban

  5. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Jeremy Levesley

  6. , School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom

    Michael V. Tretyakov

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cattaneo, L., Chiastra, C., Cutrì, E., Migliavacca, F., Morlacchi, S., Zunino, P. (2013). An Immersed Boundary Method for Drug Release Applied to Drug Eluting Stents Dedicated to Arterial Bifurcations. In: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. (eds) Numerical Mathematics and Advanced Applications 2011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33134-3_43

Download citation

Publish with us

Policies and ethics

Search

Navigation