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Probabilistic Elastography: Estimating Lung Elasticity

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6801)

Abstract

We formulate registration-based elastography in a probabilistic framework and apply it to study lung elasticity in the presence of emphysematous and fibrotic tissue. The elasticity calculations are based on a Finite Element discretization of a linear elastic biomechanical model. We marginalize over the boundary conditions (deformation) of the biomechanical model to determine the posterior distribution over elasticity parameters. Image similarity is included in the likelihood, an elastic prior is included to constrain the boundary conditions, while a Markov model is used to spatially smooth the inhomogeneous elasticity. We use a Markov Chain Monte Carlo (MCMC) technique to characterize the posterior distribution over elasticity from which we extract the most probable elasticity as well as the uncertainty of this estimate. Even though registration-based lung elastography with inhomogeneous elasticity is challenging due the problem’s highly underdetermined nature and the sparse image information available in lung CT, we show promising preliminary results on estimating lung elasticity contrast in the presence of emphysematous and fibrotic tissue.

Keywords

Posterior Distribution Markov Chain Monte Carlo Elastic Parameter Biomechanical Model Markov Chain Monte Carlo Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Al-Mayah, A., Moseley, J., Velec, M., Brock, K.K.: Sliding characteristic and material compressibility of human lung: parametric study and verification. Med. Phys. 36(10), 4625–4633 (2009)CrossRefGoogle Scholar
  2. 2.
    Bro-nielsen, M.: Finite element modeling in surgery simulation. Proceedings of the IEEE 86, 490–503 (1998)CrossRefGoogle Scholar
  3. 3.
    Gelman, A., Carlin, J.B., Stern, H.S., Rubin, D.B.: Bayesian Data Analysis, 2nd edn. Chapman & Hall/CRC (July 2003)Google Scholar
  4. 4.
    Gokhale, N.H., Barbone, P.E., Oberai, A.A.: Solution of the nonlinear elasticity imaging inverse problem: the compressible case. Inverse Problems 24(4) (2008)Google Scholar
  5. 5.
    Gorbunova, V., Lo, P., Ashraf, H., Dirksen, A., Nielsen, M., de Bruijne, M.: Weight preserving image registration for monitoring disease progression in lung CT. In: Metaxas, D., Axel, L., Fichtinger, G., Székely, G. (eds.) MICCAI 2008, Part II. LNCS, vol. 5242, pp. 863–870. Springer, Heidelberg (2008)CrossRefGoogle Scholar
  6. 6.
    McGee, K., Hubmayr, R., Ehman, R.: Mr elastography of the lung with hyperpolarized 3he. Magn. Reson. Med. 59, 14–8 (2008)Google Scholar
  7. 7.
    Miga, M.I.: A new approach to elastography using mutual information and finite elements. Physics in Medicine and Biology 48(4), 467 (2003)CrossRefGoogle Scholar
  8. 8.
    Ou, J.J., Ong, R.E., Yankeelov, T.E., Miga, M.I.: Evaluation of 3d modality-independent elastography for breast imaging: a simulation study. Physics in Medicine and Biology 53(1), 147 (2008)CrossRefGoogle Scholar
  9. 9.
    Risholm, P., Pieper, S., Samset, E., Wells III, W.M.: Summarizing and visualizing uncertainty in non-rigid registration. In: Jiang, T., Navab, N., Pluim, J.P.W., Viergever, M.A. (eds.) MICCAI 2010. LNCS, vol. 6362, pp. 554–561. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  10. 10.
    Risholm, P., Samset, E., Wells III, W.: Bayesian estimation of deformation and elastic parameters in non-rigid registration. In: Fischer, B., Dawant, B.M., Lorenz, C. (eds.) WBIR 2010. LNCS, vol. 6204, pp. 104–115. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  11. 11.
    Ross, J.C., Estépar, R.S.J., Díaz, A., Westin, C.-F., Kikinis, R., Silverman, E.K., Washko, G.R.: Lung extraction, lobe segmentation and hierarchical region assessment for quantitative analysis on high resolution computed tomography images. In: Yang, G.-Z., Hawkes, D., Rueckert, D., Noble, A., Taylor, C. (eds.) MICCAI 2009. LNCS, vol. 5762, pp. 690–698. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  12. 12.
    Webb, W.R.: Thin-section ct of the secondary pulmonary lobule: anatomy and the image – the 2004 fleischner lecture. Radiology 239(2), 322–338 (2006)CrossRefGoogle Scholar
  13. 13.
    Yin, Y., Hoffman, E.A., Lin, C.L.: Mass preserving nonrigid registration of CT lung images using cubic B-spline. Medical Physics 36(9), 4213–4222 (2009)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Surgical Planning Lab, Department of RadiologyHarvard Medical School, Brigham and Women’s HospitalBoston
  2. 2.Pulmonary and Critical Division, Department of MedicineHarvard Medical School, Brigham and Women’s HospitalBoston

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