Elasticity reconstruction from experimental MR displacement data: Initial experience with an overlapping subzone finite element inversion process

Medical Physics

Volumn 27, Issue 1, 2000, Pages 101-107

  Van Houten, E E W ^a   Weaver, J B ^b   Miga, M I ^a   Kennedy, F E ^a   Paulsen, K D ^a,c  

^a DARTMOUTH COLLEGE   (United States)

^b DARTMOUTH HITCHCOCK MEDICAL CENTER   (United States)

^c NORRIS COTTON CANCER CENTER   (United States)

Author keywords

Experimental elasticity reconstruction; Finite element inversion techniques; MR elastography; Viscoelastic tissue behavior

Indexed keywords

ELASTIC MODULI; FINITE ELEMENT METHOD; MEDICAL IMAGING; VISCOELASTICITY;

COMPUTATIONAL TRACTABILITY; ELASTICITY RECONSTRUCTION; INVERSION TECHNIQUES; MR ELASTOGRAPHY; SPATIAL DISCRETIZATIONS; STEADY-STATE CONDITION; VISCOELASTIC PROPERTIES; VISCOELASTIC TISSUE BEHAVIOR;

ELASTICITY;

ALGORITHM; ARTICLE; ELASTOGRAPHY; FINITE ELEMENT ANALYSIS; IMAGE ANALYSIS; MATHEMATICAL ANALYSIS; NUCLEAR MAGNETIC RESONANCE; PRIORITY JOURNAL;

MAXWELLIA;

EID: 0033954646     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.598861     Document Type: Article

References (24)

1. I. Céspedes, J. Ophir, H. Ponnekanti, and N. Maklad, "Elastography: Elasticity imaging using ultrasound with application to muscle and breast In Vivo," Ultrason. Imaging 15, 73-88 (1993).
2. L. Gao, K. J. Parker, S. K. Alam, and R. M. Lerner, "Sonoelasticity imaging: Theory and experimental verification," J. Acoust. Soc. Am. 97, 3875-3886 (1995).
3. F. Kallel and J. Ophir, "A least-squares strain estimator for elastography," Ultrason. Imaging 19, 195-208 (1997).
4. R. M. Lerner, S. R. Huang, and K. J. Parker, " 'Sonoelasticity' images derived from ultrasound signals in mechanically vibrated tissues," Ultrasound Med. Biol. 16, 231-239 (1990).
5. D. Nicholas, D. K. Nassiri, P. Garbutt, and C. R. Hill, "Tissue characterization from ultrasound B-scan data," Ultrasound Med. Biol. 12, 135-143 (1986).
6. J. Ophir, I. Céspedes, H. Ponneckanti, Y. Yazdi, and X. Li, "Elastography: A quantitative method for imaging the elasticity of biological tissues," Ultrason. Imaging 13, 111-134 (1991).
7. Y. Yamakoshi, J. Sato, and T. Sato, "Ultrasonic imaging of internal vibration of soft tissue under forced vibration," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 37, 45-53 (1990).
8. A. R. Skovoroda, S. Y. Emelianov, M. A. Lubinski, A. P. Sarvazyan, and M. O'Donnell, "Theoretical analysis and verification of ultrasound displacement and strain imaging," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 41, 302-313 (1994).
9. J. Bishop, G. Poole, M. Leitch, and D. B. Plewes, "Magnetic resonance imaging of shear wave propagation in excised tissue," J. Magn. Reson. Imaging 8, 1257-1265 (1998).
10. T. L. Chenevert, S. Y. Emelianov, and A. R. Skovoroda, "Elasticity reconstructive imaging using static displacement and strain estimations," in Proc. of the Int. Soc. of Magnetic Resonance in Medicine, 461.
11. T. L. Chenevert, A. R. Skovoroda, M. O'Donnell, and S. Y. Emelianov, "Elasticity reconstructive imaging by means of stimulated echo MRI," Magn. Reson. Med. 39, 482-490 (1998).
12. C. J. Lewa, "Magnetic resonance imaging in the presence of mechanical waves," Spectrosc. Lett. 24, 55-67 (1991).
13. R. Muthupillai, P. J. Rossman, D. J. Lomas, J. F. Greenleaf, S. J. Riederer, and R. L. Ehman, "Magnetic resonance imaging of transverse acoustic strain waves," Magn. Reson. Med. 36, 266-274 (1996).
14. R. Muthupillai, D. J. Lomas, P. J. Rossman, J. F. Greenleaf, A. Manduca, and R. L. Ehman, "Magnetic resonance elastography by direct visualization of propagating acoutsic strain waves," Science 269, 1854-1857 (1995).
15. C. Sumi and K. Nakayama, "A robust numerical solution to reconstruct a globally relative shear modulus distribution from strain measurements," IEEE Trans. Med. Imaging 17, 419-428 (1998).
16. K. R. Raghavan and A. E. Yagle, "Forward and inverse problems in elasticity imaging of soft tissues," IEEE Trans. Nucl. Sci. 41, 1639-1648 (1994).
17. A. Manduca, R. Muthupillai, P. J. Rossman, J. F. Greenleaf, and R. L. Ehman, "Image processing for magnetic resonance elastography," Proc. SPIE 2710, 616-623 (1996).
18. K. D. Paulsen and H. Jiang, "Spatially varying optical property reconstruction using a finite element diffusing equation approximation," Med. Phys. 22, 691-701 (1995).
19. K. D. Paulsen and H. Jiang, "An enhanced electrical impedence imaging algorithm for hyperthermia applications," Int. J. Hyperthermia 13, 459-480 (1997).
20. E. E. W. Van Houten, K. D. Paulsen, M. I. Miga, F. E. Kennedy, and J. B. Weaver, "An overlapping subzone technique for MR based elastic property reconstruction," Magn. Reson. Med. 42, 779-786 (1999).
21. A. Manduca, V. Dutt, D. T. Borup, R. Muthupillai, R. L. Ehman, and J. F. Geenleaf, "Reconstruction of elasticity and attenuation maps in shear wave imaging: An inverse approach," in Lecture Notes in Computer Science - Medical Image Computing and Computer-Assisted Intervention '98, edited by W. M. Wells, A. Colchester, and S. Delp (Springer-Verlag, Berlin, 1496), pp. 606-613.
22. F. Kallel and M. Bertrand, "Tissue elasticity reconstruction using linear perturbation method," IEEE Trans. Med. Imaging 15, 299-313 (1996).
23. D. W. Marquardt, "An algorithm for least-squares estimation of nonlinear parameters," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 11, 431-441 (1963).
24. P. C. Chou and N. J. Pagano, Elasticity; Tensor, Dyadic and Engineering Approaches (Dover, New York, 1967).