Elastography of biological tissue: Direct inversion methods that allow for local shear modulus variations

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 6112 LNCS, Issue PART 2, 2010, Pages 195-206

  Antonio Sanchez C ^a   Drapaca, Corina S ^b   Sivaloganathan, Sivabal ^a,c   Vrscay, Edward R ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

^b The Pennsylvania State University   (United States)

^c FIELDS INSTITUTE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL TISSUES; DIRECT INVERSION METHODS; ELASTICITY IMAGES; ELASTOGRAPHY; INVERSION METHODS; LOCAL VARIATIONS; NUMERICAL RESULTS; SHEAR MODULUS VARIATION; STIFFNESS DISTRIBUTIONS; STRAIN IMAGES; SYSTEM OF DIFFERENTIAL EQUATIONS; TISSUE MODELS; UNIQUENESS OF SOLUTION;

DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); IMAGE ANALYSIS; IMAGING TECHNIQUES; NUMERICAL ANALYSIS; NUMERICAL METHODS; STIFFNESS;

TISSUE;

EID: 77955395796     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-13775-4_20     Document Type: Conference Paper

References (13)

1. Bynum,W., Porter, R.: Medicine and the Five Senses. Cambridge University Press, Cambridge (2005)
2. Muthupillai, R., Lomas, D.J., Rossman, P.J., Greenleaf, J.F., Manduca, A., Ehman, R.L.: Magnetic resonance elastography by direct visualization of propagating acoustic strain waves. Science 269, 1854-1857 (1995)
3. Sinkus, R., Lorenzen, J., Schrader, D., Lorenzen, M., Dargatz, M., Holz, D.: High-resolution tensor MR elastography for breast tumour detection. Phys. Med. Biol. 45, 1649-1664 (2000)
4. Manduca, A., Oliphant, T.E., Dresner, M.A., Mahowald, J.L., Kruse, S.A., Amromin, E., Felmlee, J.P., Greenleaf, J.F., Ehman, R.L.: Magnetic resonance elastography: non-invasive mapping of tissue elasticity. Med. Image Anal. 5, 237-254 (2001)
5. Oliphant, T.E., Manduca, A., Ehman, R.L., Greenleaf, J.F.: Complex-valued stiffness reconstruction for magnetic resonance elastography by algebraic inversion of the differential equation. Magn. Reson. Med. 45, 299-310 (2001)
6. Van Houten, E.E., Miga, M.I., Weaver, J.B., Kennedy, F.E., Paulsen, K.D.: Threedimensional subzone-based reconstruction algorithm for MR elastography. Magn. Reson. Med. 45, 827-837 (2001)
7. Van Houten, E.E., Doyley, M.M., Kennedy, F.E., Paulsen, K.D., Weaver, J.B.: A three-parameter mechanical property reconstruction method for MR-based elastic property imaging. IEEE Trans. Med. Imaging 24, 311-324 (2005)
8. Ehman, R.L.: Mayo Clinic Research: Magnetic Resonance Elastography (January 2007), http://mayoresearch.mayo.edu/ehman-lab/mre.cfm
9. Oliphant, T.E.: Direct Methods for Dynamic Elastography Reconstruction: Optimal Inversion of the Interior Helmholtz Problem. PhD in Biomedical imaging, Mayo Graduate School, Rochester, MN (2001)
10. Sánchez, C.A.: Dynamic Magnetic Resonance Elastography: Improved Direct Methods of Shear Modulus Estimation. MMath in Applied Mathematics, University of Waterloo, Waterloo, ON (2009)
11. Abraham, R., Marsden, J.E.: Foundations of Mechanics, 2nd edn. Addison - Wesley, California (1987)
12. Berenger, J.P.: Perfectly Matched Layer (PML) for Computational Electromagnetics. Morgan & Claypool Publishers, San Francisco (2007)
13. Savitzky, A., Golay, M.: Smoothing and differentiation of data by simplified least squares procedures. Analytical Chemistry 36, 1627-1639 (1964)