Algebraic Helmholtz inversion in planar magnetic resonance elastography

Physics in Medicine and Biology

Volumn 53, Issue 12, 2008, Pages 3147-3158

  Papazoglou, S ^a   Hamhaber, U ^a   Braun, J ^a   Sack, I ^a  

^a CHARITÉ UNIVERSITÄTSMEDIZIN BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; ATOMS; BOOLEAN ALGEBRA; COLLOIDS; ELASTIC WAVES; GELATION; MAGNETIC FIELDS; MAGNETIC RESONANCE; MATRIX ALGEBRA; NUMERICAL ANALYSIS; PIXELS; SHEAR WAVES; SIGNAL TO NOISE RATIO; SPEED;

DISCRETIZATION; GEL PHANTOM; HELMHOLTZ; IMAGE PLANES; MAGNETIC RESONANCE ELASTOGRAPHY; NUMERICAL CALCULATIONS; OPTIMAL FREQUENCIES; OUT-OF PLANE; PHASE SPEEDS; PLANE WAVES; PLATE SIZE; SOFT TISSUES; WAVELENGTH RESOLUTION;

RESONANCE;

ALGEBRAIC HELMHOLTZ INVERSION; ARTICLE; CALCULATION; MAGNETIC RESONANCE ELASTOGRAPHY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; RADIODIAGNOSIS; SHEAR FLOW; SIGNAL NOISE RATIO; TISSUE REACTION; VELOCITY;

ALGORITHMS; ARTIFACTS; ELASTICITY IMAGING TECHNIQUES; IMAGE PROCESSING, COMPUTER-ASSISTED; PHANTOMS, IMAGING; REPRODUCIBILITY OF RESULTS;

EID: 45949108871     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/53/12/005     Document Type: Article

References (25)

1. Aki K and Richards P G 2002 Quantitative Seismology (Sausalito: University Science Books)
2. Barbone P E and Gokhale N H 2004 Elastic modulus imaging: on the uniqueness and nonuniqueness of the elastography inverse problem in two dimensions Phys. Med. Biol. 20 283-96
3. Benech N and Negreira C A 2005 Longitudinal and lateral low frequency head wave analysis in soft media J. Acoust. Soc. 117 3424-30
4. Bishop J, Samani A, Sciaretta J and Plewes D B 2000 Two-dimensional MR elastography with linear reconstruction: methodology and noise analysis Phys. Med. Biol. 45 2081-91
5. Catheline S, Francois W and Fink M 1999 A solution to diffraction biases in sonoelasticity: the acoustic impulse technique J. Acoust. Soc. 105 2941-50
6. Colton D L and Kress R 1997 Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences) (Berlin: Springer)
7. Fung Y C 1993 Biomechanics (New York: Springer)
8. Hamhaber U, Sack I, Papazoglou S, Rump J, Klatt D and Braun J 2007 Three-dimensional analysis of shear wave propagation observed by in vivo magnetic resonance elastography of the brain Acta Biomater. 3 127-37
9. Klatt D, Asbach P, Rump J, Papazoglou S, Somasundaram R, Modrow J, Braun J and Sack I 2006 In vivo determination of hepatic stiffness using steady-state free precession magnetic resonance elastography Invest. Radiol. 41 841-8
10. Klatt D, Hamhaber U, Asbach P, Braun J and Sack I 2007 Noninvasive assessment of the rheological behavior of human organs using multifrequency MR elastography: a study of brain and liver viscoelasticity Phys. Med. Biol. 52 7281-94
11. Kruse S A, Rose G H, Glaser K J, Manduca A, Felmlee J P, Jack C R Jr and Ehman R L 2008 Magnetic resonance elastography of the brain Neuroimage 39 231-7
12. Landau L D and Lifshitz E M 1986 Theory of Elasticity (Oxford: Butterworth-Heinemann)
13. Lhémery A 1994 A model for the transient ultrasonic field radiated by an arbitrary loading in a solid J. Acoust. Soc. 96 3776-86
14. Manduca A, Lake D S, Kruse S A and Ehman R L 2003 Spatio-temporal directional filtering for improved inversion of MR elastography images Med. Image Anal. 7 465-73
15. Muthupillai R, Rossman P J, Lomas D J, Greenleaf J F, Riederer S J and Ehman R L 1996 Magnetic resonance imaging of transverse acoustic strain waves Magn. Reson. Med. 36 266-74
16. Oliphant T E, Manduca A, Ehman R L and Greenleaf J F 2001 Complex-valued stiffness reconstruction for magnetic resonance elastography by algebraic inversion of the differential equation Magn. Reson. Med. 45 299-310
17. Papazoglou S, Hamhaber U, Braun J and Sack I 2007 Horizontal shear wave scattering from a nonwelded interface observed by magnetic resonance elastography Phys. Med. Biol. 52 675-84
18. Park E and Maniatty A M 2006 Shear modulus reconstruction in dynamic elastography: time harmonic case Phys. Med. Biol. 51 3697-721
19. Plewes D B, Betty I, Urchuk S N and Souter I 1995 Visualizing tissue compliance with MR imaging J. Magn. Reson. Imaging 5 733-8
20. Rouvière O, Yin M, Dresner M A, Rossman P J, Burgart L J, Fidler J L and Ehman R L 2006 MR elastography of the liver: preliminary results Radiology 240 440-8
21. Sack I, Beierbach B, Hamhaber U, Klatt D and Braun J 2007 Non-invasive measurement of brain viscoelasticity using magnetic resonance elastography NMR Biomed. DOI: 10.1002/nbm.1189
22. Sandrin L, Cassereau D and Fink M 2004 The role of the coupling term in transient elastography J. Acoust. Soc. 115 73-83
23. Sinkus R, Lorenzen J, Schrader D, Lorenzen M, Dargatz M and Holz D 2000 High-resolution tensor MR elastography for breast tumor detection Phys. Med. Biol. 45 1649-64
24. Skovoroda A, Emilianov S and O'Donnel M 1995 Tissue elasticity reconstruction based on ultrasonic displacement and strain images IEEE Trans. Ultrason. Ferroelectr. Freq. Control 42 747-65
25. Yin M, Talwalkar J A, Glaser K J, Manduca A, Grimm R C, Rossman P J, Fidler J L and Ehman R L 2007 Assessment of hepatic fibrosis with magnetic resonance elastography Clin. Gastroenterol. Hepatol. 5 1144-6