Generalized anisotropic inverse mechanics for soft tissues

Journal of Biomechanical Engineering

Volumn 132, Issue 8, 2010, Pages

  Raghupathy, Ramesh ^a   Barocas, Victor H ^a  

^a University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAUCHY STRESS; ELASTOGRAPHY; FINITE-ELEMENT REPRESENTATION; ILL-POSEDNESS; INHOMOGENEOUS MATERIALS; INHOMOGENEOUS SYSTEM; INVERSE MECHANICS; LINEAR MODEL; MATERIAL ANISOTROPY; MATERIAL CONSTANT; MECHANICAL ANISOTROPY; MEDICAL AREAS; MULTIPLE TEST; NON-LINEAR MODEL; SIMULATED EXPERIMENTS; SOFT TISSUE; SUB-DOMAINS; SUBDOMAIN;

COMPUTER SIMULATION; HISTOLOGY; INVERSE PROBLEMS; MEDICAL IMAGING; STRESSES; TISSUE;

ANISOTROPY;

ANISOTROPY; ARTICLE; ELASTOGRAPHY; FINITE ELEMENT ANALYSIS; SIMULATION; SOFT TISSUE; STRETCHING; ANIMAL; BIOLOGICAL MODEL; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; CONNECTIVE TISSUE; ECHOGRAPHY; HUMAN; METHODOLOGY; PHYSIOLOGY; YOUNG MODULUS;

ANIMALS; ANISOTROPY; COMPUTER SIMULATION; CONNECTIVE TISSUE; ELASTIC MODULUS; HUMANS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, BIOLOGICAL;

EID: 77955375100     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4001257     Document Type: Article

References (28)

1. Greenleaf, J. F., Fatemi, M., and Insana, M., 2003, "Selected Methods for Imaging Elastic Properties of Biological Tissues," Annu. Rev. Biomed. Eng., 5, pp. 57-78.
2. Muthupillai, R., Lomas, D. J., Rossman, P. J., Greenleaf, J. F., Manduca, A., and Ehman, R. L., 1995, "Magnetic Resonance Elastography by Direct Visualization of Propagating Acoustic Strain Waves," Science (N.Y.), 269(5232), pp. 1854-1857.
3. Ophir, J., Cespedes, I., Ponnekanti, H., Yazdi, Y., and Li, X., 1991, "Elastography: A Quantitative Method for Imaging the Elasticity of Biological Tissues," Ultrason. Imaging, 13(2), pp. 111-134.
4. Doyley, M. M., Meaney, P. M., and Bamber, J. C., 2000, "Evaluation of an Iterative Reconstruction Method for Quantitative Elastography," Phys. Med. Biol., 45(6), pp. 1521-1540.
5. Sinkus, R., Lorenzen, J., Schrader, D., Lorenzen, M., Dargatz, M., and Holz, D., 2000, "High-Resolution Tensor MR Elastography for Breast Tumour Detection," Phys. Med. Biol., 45(6), pp. 1649-1664. (Pubitemid 30408924)
6. Lei, F., and Szeri, A. Z., 2007, "Inverse Analysis of Constitutive Models: Biological Soft Tissues," J. Biomech., 40(4), pp. 936-940.
7. Avril, S., Bonnet, M., Bretelle, A.-S., Grediac, M., Hild, F., Ienny, P., Latourte, F., Lemosse, D., Pagano, S., Pagnacco, E., and Pierron, F., 2008, "Overview of Identification Methods of Mechanical Parameters Based on Full-Field Measurements," Exp. Mech., 48(4), pp. 381-402.
8. Cox, S. J., and Gockenbach, M., 1997, "Recovering Planar Lame Moduli from a Single-Traction Experiment," Math. Mech. Solids, 2(3), pp. 297-306. (Pubitemid 127577027)
9. Flynn, D. M., Peura, G. D., Grigg, P., and Hoffman, A. H., 1998, "A Finite Element Based Method to Determine the Properties of Planar Soft Tissue," ASME J. Biomech. Eng., 120(2), pp. 202-210.
10. Pedrigi, R. M., David, G., Dziezyc, J., and Humphrey, J. D., 2007, "Regional Mechanical Properties and Stress Analysis of the Human Anterior Lens Capsule," Vision Res., 47(13), pp. 1781-1789. (Pubitemid 46755858)
11. Girard, M. J., Downs, J. C., Bottlang, M., Burgoyne, C. F., and Suh, J. K., 2009, "Peripapillary and Posterior Scleral Mechanics-Part II: Experimental and Inverse Finite Element Characterization," ASME J. Biomech. Eng., 131(5), p. 051012.
12. Liu, Y., Sun, L. Z., and Wang, G., 2005, "Tomography-Based 3-D Anisotropic Elastography Using Boundary Measurements," IEEE Trans. Med. Imaging, 24(10), pp. 1323-1333.
13. Zhu, Y., Hall, T. J., and Jiang, J., 2003, "A Finite-Element Approach for Young's Modulus Reconstruction," IEEE Trans. Med. Imaging, 22(7), pp. 890-901.
14. Seshaiyer, P., and Humphrey, J. D., 2003, "A Sub-Domain Inverse Finite Element Characterization of Hyperelastic Membranes Including Soft Tissues," ASME J. Biomech. Eng., 125(3), pp. 363-371.
15. Van Houten, E. E., Paulsen, K. D., Miga, M. I., Kennedy, F. E., and Weaver, J. B., 1999, "An Overlapping Subzone Technique for MR-Based Elastic Property Reconstruction," Magn. Reson. Med., 42(4), pp. 779-786.
16. Oberai, A. A., Gokhale, N. H., Doyley, M. M., and Bamber, J. C., 2004, "Evaluation of the Adjoint Equation Based Algorithm for Elasticity Imaging," Phys. Med. Biol., 49(13), pp. 2955-2974.
17. Aster, R., Borchers, B., and Thurber, C., 2005, Parameter Estimation and Inverse Problems, Academic, New York.
18. Sun, W., and Sacks, M. S., 2005, "Finite Element Implementation of a Generalized Fung-Elastic Constitutive Model for Planar Soft Tissues," Biomech. Model. Mechanobiol., 4(2-3), pp. 190-199.
19. Hughes, T. J. R., 1987, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, NJ.
20. Mehrabadi, M. M., and Cowin, S. C., 1990, "Eigentensors of Linear Anisotropic Elastic Materials," Q. J. Mech. Appl. Math., 43(1), pp. 15-41.
21. Thomson, W., 1856, "Elements of a Mathematical Theory of Elasticity," Philos. Trans. R. Soc. London, Ser. B, 146, pp. 481-498.
22. Meunier, A., Riot, O., Christel, P., Katz, J. L., and Sedel, L., 1989, "Inhomogeneities in Anisotropic Elastic Constants of Cortical Bone," Proceedings of the IEEE Ultrasonics Symposium, Vol. 2, pp. 1015-1018.
23. Billiar, K. L., and Sacks, M. S., 2000, "Biaxial Mechanical Properties of the Native and Glutaraldehyde-Treated Aortic Valve Cusp: Part II-A Structural Constitutive Model," ASME J. Biomech. Eng., 122(4), pp. 327-335.
24. Raghupathy, R., and Barocas, V. H., 2009, "A Closed-Form Structural Model of Planar Fibrous Tissue Mechanics," J. Biomech., 42(10), pp. 1424-1428.
25. Draper, N. R., and Smith, H., 1998, Applied Regression Analysis, Wiley, New York.
26. Kavanagh, K. T., and Clough, R. W., 1971, "Finite Element Applications in the Characterization of Elastic Solids," Int. J. Solids Struct., 7(1), pp. 11-23.
27. Doehring, T. C., Kahelin, M., and Vesely, I., 2009, "Direct Measurement of Nonuniform Large Deformations in Soft Tissues During Uniaxial Extension," ASME J. Biomech. Eng., 131(6), p. 061001.
28. Quinn, K. P., and Winkelstein, B. A., 2009, "Vector Correlation Technique for Pixel-Wise Detection of Collagen Fiber Realignment During Injurious Tensile Loading," J. Biomed. Opt., 14(5), p. 054010.