Skip to main content

Bayesian Estimation of the Aortic Stiffness based on Non-invasive Computed Tomography Images

  • Conference paper
Bayesian Statistics from Methods to Models and Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 126))

  • 2039 Accesses

Abstract

Aortic diseases are one relevant cause of death in Western countries. They involve significant alterations of the aortic wall tissue, with consequent changes in the stiffness, i.e., the capability of the vessel to vary its section secondary to blood pressure variations. In this paper, we propose a Bayesian approach to estimate the aortic stiffness and its spatial variation, exploiting patient-specific geometrical data non-invasively derived from computed tomography angiography (CTA) images. The proposed method is tested considering a real clinical case, and outcomes show good estimates and the ability to detect local stiffness variations. The final objective is to support the adoption of imaging techniques such as the CTA as a standard tool for large-scale screening and early diagnosis of aortic diseases.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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. Dernellis, J., Panaretou, M.: Aortic stiffness is an independent predictor of progression to hypertension in non-hypertensive subjects. Hypertension 45, 426–431 (2005)

    Article  Google Scholar 

  2. Gilioli, G., Pasquali, S., Ruggeri, F.: Bayesian analysis of a stochastic predator-prey model with nonlinear functional response. Math. Biosci. Eng. 9, 75–96 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  3. Kloeden, P.E., Platen, E.: Numerical Solution of Stochastic Differential Equations. Springer, Berlin (1992)

    Book  MATH  Google Scholar 

  4. Lanzarone, E., Liani, P., Baselli, G., Costantino, M.L.: Model of arterial tree and peripheral control for the study of physiological and assisted circulation. Med. Eng. Phys. 29, 542–555 (2007)

    Article  Google Scholar 

  5. Lanzarone, E., Casagrande, G., Fumero, R., Costantino, M.L.: Integrated model of endothelial NO regulation and systemic circulation for the comparison between pulsatile and continuous perfusion. IEEE Trans. Bio-Med. Eng. 56, 1331–1340 (2009)

    Article  Google Scholar 

  6. Lanzarone, E., Ruggeri, F.: Inertance estimation in a lumped-parameter hydraulic simulator of human circulation. J. Biomech. Eng. Trans. ASME 135, 061012 (2013)

    Article  Google Scholar 

  7. Lanzarone, E., Pasquali, S., Mussi, V., Ruggeri, F.: Bayesian estimation of thermal conductivity and temperature profile in a homogeneous mass. Numer. Heat Transfer B Fund. 66, 397–421 (2014)

    Article  Google Scholar 

  8. Oksendal, B.: Stochastic Differential Equations: An Introduction with Applications, 6th edn. Springer, Berlin (2003)

    Book  Google Scholar 

  9. Pearson, A.C., Guo, R., Orsinelli, D.A., Binkley, P.F., Pasierski, T.J.: Transesophageal echocardiographic assessment of the effects of age, gender, and hypertension on thoracic aortic wall size, thickness, and stiffness. Am. Heart J. 128, 344–351 (1994)

    Article  Google Scholar 

  10. Plummer, M.: JAGS: a program for analysis of Bayesian graphical models using Gibbs sampling. In: Proceedings of the 3rd International Workshop on Distributed Statistical Computing, Vienna, Austria (2003)

    Google Scholar 

  11. Quinn, U., Tomlinson, L.A., Cockcroft, J.R.: Arterial stiffness. J. Roy. Soc. Med. 1, 1–18 (2012)

    Google Scholar 

  12. Westerhof, N., Bosman, F., Vries, C.J.D., Noordergraaf, A.: Analog studies of the human systemic arterial tree. J. Biomech. 56, 121–143 (1969)

    Article  Google Scholar 

  13. Yushkevich, P.A., Piven, J., Hazlett, H., Smith, R., Ho, J.G.S., Gerig, G.: User-guided 3d active contour segmentation of anatomical structures: significantly improved efficiency and reliability. Neuroimage 31, 1116–1128 (2006)

    Article  Google Scholar 

Download references

Acknowledgements

The authors acknowledge Flagship Project “Factory of the Future Fab@Hospital”, funded by Italian CNR and MIUR organizations. Michele Conti acknowledges ERC Starting Grant through the Project ISOBIO: Isogeometric Methods for Biomechanics (No. 259229).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ettore Lanzarone .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Lanzarone, E., Auricchio, F., Conti, M., Ferrara, A. (2015). Bayesian Estimation of the Aortic Stiffness based on Non-invasive Computed Tomography Images. In: Frühwirth-Schnatter, S., Bitto, A., Kastner, G., Posekany, A. (eds) Bayesian Statistics from Methods to Models and Applications. Springer Proceedings in Mathematics & Statistics, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-319-16238-6_12

Download citation

Publish with us

Policies and ethics