Method and Apparatus for Soft Tissue Material Parameter Estimation Using Tissue Tagged Magnetic Resonance Imaging

[+] Author and Article Information
Kevin F. Augenstein, Ian J. LeGrice, Poul M. F. Nielsen, Alistair A. Young

Bioengineering Institute, The University of Auckland, Private Bag 92019, Auckland, New Zealand

Brett R. Cowan

Department of Medicine The University of Auckland, Private Bag 92019, Auckland, New Zealand

J Biomech Eng 127(1), 148-157 (Mar 08, 2005) (10 pages) doi:10.1115/1.1835360 History: Online March 08, 2005
Copyright © 2005 by ASME
Your Session has timed out. Please sign back in to continue.


Mandinov,  L., Eberli,  F. R., Seiler,  C., and Hess,  O. M., 2000, “Diastolic Heart Failure,” Cardiovasc. Res., 45, pp. 813–825.
Nielsen,  P. M. F., Malcolm,  D. T. K., Hunter,  P. J., and Charette,  P. G., 2002, “Instrumentation and Procedures for Estimating the Constitutive Parameters of Inhomogeneous Elastic Membranes,” Biomech. Modeling Mechanobiol.,1, pp. 211–218.
Malcolm,  D. T. K., Nielsen,  P. M. F., Hunter,  P. J., and Charette,  P. G., 2002, “Strain Measurement in Biaxially Loaded Inhomogeneous Anisotropic Elastic Membranes,” Biomech. Modeling Mechanobiol.,1, pp. 197–210.
Dokos,  S., Le Grice,  I. J., Smaill,  B. H., Kar,  J., and Young,  A. A., 2000, “A Triaxial-Measurement Shear-Test Device for Soft Biological Tissues,” J. Biomech. Eng., 122, pp. 471–478.
Zerhouni,  E. A., Parish,  D. M., Rogers,  W. J., Yang,  A., and Shapiro,  E. P., 1988, “Human Heart: Tagging With MR Imaging—A Method for Noninvasive Assessment of Myocardial Motion,” Radiology, 169, pp. 59–63.
Axel,  L., and Dougherty,  L., 1989, “MR Imaging of Motion With Spatial Modulation of Magnetization,” Radiology, 171, pp. 841–845.
Young,  A. A., Kraitchman,  D. L., Dougherty,  L., and Axel,  L., 1995, “Tracking and Finite Element Analysis of Stripe Deformation in Magnetic Resonance Tagging,” IEEE Trans. Med. Imaging, 14, pp. 413–421.
Le Bihan,  D., Mangin,  J. F., Poupon,  C., Clark,  C. A., Pappata,  S., Molko,  N., and Chabriat,  H., 2001, “Diffusion Tensor Imaging: Concepts and Applications,” J. Magn. Reson Imaging, 13, pp. 534–546.
Basser,  P. J., and Pierpaoli,  C., 1998, “A Simplified Method to Measure the Diffusion Tensor From Seven MR Images,” Magn. Reson. Med., 39, pp. 928–934.
Garrido,  L., Wedeen,  V. J., Kwong,  K. K., Spencer,  U. M., and Kantor,  H., 1994, “Anisotropy of Water Diffusion in the Myocardium of Rat,” Circ. Res., 74, pp. 789–793.
Hsu,  E. W., Muzikant,  A. L., Matulevicius,  S. A., Penland,  R. C., and Henriquez,  C. S., 1998, “Magnetic Resonance Myocardial Fiber-Orientation Mapping With Direct Histological Correlation,” Am. J. Physiol., 274, pp. H1627–H1634.
Scollan,  D. F., Holmes,  A., Winslow,  R., and Forder,  J., 1998, “Histological Validation of Myocardial Microstructure Obtained From Diffusion Tensor Magnetic Resonance Imaging,” Am. J. Physiol., 275, pp. H2308–H2318.
Green, A. E., and Zerna, W., 1968, Theoretical Elasticity, 2nd ed., Oxford University Press, London.
Costa,  K. D., Hunter,  P. J., Rogers,  J. M., Guccione,  J. M., Waldman,  L. K., and McCulloch,  A. D., 1996, “A Three-Dimensional Finite Element Method for Large Elastic Deformations of Ventricular Myocardium: I—Cylindrical and Spherical Polar Coordinates,” J. Biomech. Eng., 118, pp. 452–463.
Costa,  K. D., Hunter,  P. J., Wayne,  J. S., Waldman,  L. K., Guccione,  J. M., and McCulloch,  A. D., 1996, “A Three-Dimensional Finite Element Method for Large Elastic Deformations of Ventricular Myocardium: II—Prolate Spheroidal Coordinates,” J. Biomech. Eng., 118, pp. 464–472.
Hunter,  P. J., and Smaill,  B. H., 1988, “The Analysis of Cardiac Function: A Continuum Approach,” Prog. Biophys. Mol. Biol., 52, pp. 101–164.
Young,  A. A., and Axel,  L., 1992, “Three-Dimensional Motion and Deformation of the Heart Wall: Estimation With Spatial Modulation of Magnetization—A Model-Based Approach,” Radiology, 185, pp. 241–247.
Augenstein,  K. F., McVeigh,  E. R., and Young,  A. A., 2001, “Magnetic Resonance Imaging and Ventricle Mechanics,” Philos. Trans. R. Soc. London, 359, pp. 1263–1275.
Young,  A. A., Axel,  L., Dougherty,  L., Bogen,  D. K., and Parenteau,  C. S., 1993, “Validation of Tagging With MR Imaging to Estimate Material Deformation,” Radiology, 188, pp. 101–118.
Axel,  L., Goncalves,  R. C., and Bloomgarden,  D., 1992, “Regional Heart Wall Motion: Two-Dimensional Analysis and Functional Imaging With MR Imaging,” Radiology, 183, pp. 745–750.
Young,  A. A., Cowan,  B. R., Thrupp,  S. F., Hedley,  W. J., and Dell’Italia,  L. J., 2000, “Left Ventricular Mass and Colume: Fast Calculation With Guide-Point Modeling on MR Images,” Radiology, 216, pp. 597–602.
Choung, C. J., and Fung, Y. C., 1986, “Residual Stress in Arteries,” pp. 117–129, In Frontiers in Biomechanics, G. W. Schmid-Schonbein, S. L.-Y. Woo, and B. W. Zweifach, eds., Springer-Verlag, New York.
Guccione,  J. M., McCulloch,  A. D., and Waldman,  L. K., 1991, “Passive Material Properties of Intact Ventricular Myocardium Determined From a Cylindrical Model,” J. Biomech. Eng., 113, pp. 42–55.
Omens,  J. H., MacKenna,  D. A., and McCulloch,  A. D., 1993, “Measurement of Strain and Analysis of Stress in Resting Rat Left Ventricular Myocardium,” J. Biomech., 26, pp. 665–676.
Hunter, P. J., Nielsen, P. M. F., Smaill, B. H., Le Grice, I. J., and Hunter, I. W., 1993, “An Anatomical Heart Model With Applications to Myocardial Activation and Ventricular Mechanics,” in High Performance Computing in Biomedical Research, T. C. Pilkington, B. Loftis, S. L.-Y. Woo, T. C. Palmer, and T. F. Budinger, eds., CRC Press, Boca Raton, Florida, pp. 3–26.
Hunter, P. J., 1995, “Myocardial Constitutive Laws for Continuum Mechanics Models of the Heart,” in Advances in Experimental Medicine and Biology, S. Sideman and R. Beyar, eds., Plenum Press, New York, Vol. 382, pp. 303–318.
Hunter, P. J., and Arts, T., 1997, “Tissue Remodelling With Micro-Structurally Based Material Laws,” in Analytical and Quantitative Cardiology: From Genetics to Function, S. Sideman and R. Beyar, eds., Plenum Press, New York, pp. 215–225.
Criscione,  J. C., McCulloch,  A. D., and Hunter,  W. C., 2002, “Constitutive Framework Optimized for Myocardium and Other High-Strain, Laminar Materials With One Fiber Family,” J. Mech. Phys. Solids, 50, pp. 1681–1702.
Gill, P. E., Murray, W., and Wright, M. H., Practical Optimization, Academic Press, London.
Young,  A. A., “Model Tags: Direct Three-Dimensional Tracking of Heart Wall Motion From Tagged Magnetic Resonance Images,” Med. Image Anal, 3, pp. 361–372.
Atalar,  E., and McVeigh,  E. R., 1994, “Optimization of Tag Thickness for Measuring Position With Magnetic Resonance Imaging,” IEEE Trans. Med. Imaging, 13, pp. 152–160.
O’Dell, W., 1995, “Myocardial Deformation Analysis in the Passive Dog Heart Using High Resolution MRI Tagging,” Ph.D. thesis, Dept. of Biomedical Engineering, Johns Hopkins Univ.
Aletras,  A. H., and Wen,  H., 2001, “Mixed Echo Train Acquisition Displacement Encoding With Stimulated Echoes: An Optimized DENSE Method for In Vivo Functional Imaging of the Human Heart,” Magn. Reson. Med., 46, pp. 523–534.
Osman,  N. F., McVeigh,  E. R., and Prince,  J. L., 2000, “Imaging Heart Motion Using Harmonic Phase MRI,” IEEE Trans. Med. Imaging, 19, pp. 186–202.
Zhu,  Y., 1999, “A Spatiotemporal Model of Cyclic Kinematics and Its Application to Analyzing Nonrigid Motion With MR Velocity Images,” IEEE Trans. Med. Imaging, 18, pp. 557–569.
Epstein,  F. H., Yang,  Z. Q., Gilson,  W. D., Berr,  S. S., Kramer,  C. M., and French,  B. A., 2002, “MR Tagging Early After Myocardial Infarction in Mice Demonstrates Contractile Dysfunction in Adjacent and Remote Regions,” Magn. Reson. Med., 48, pp. 399–403.
Tseng,  W.-Y. I., Wedeen,  V. J., Reese,  T. G., Smith,  R. N., and Halpern,  E. H., 2003, “Diffusion Tensor MRI of Myocardial Fibers and Sheets: Correspondence With Visible Cut-Face Texture,” J. Magn. Reson Imaging, 17, pp. 31–42.
Humphrey, J. D., 2002, Cardiovascular Solid Mechanics: Cells, Tissues, and Organs, Springer-Verlag, New York.
Costa,  K. D., Holmes,  J. W., and McCulloch,  A. D., 2001, “Modelling Cardiac Mechanical Properties in Three Dimensions,” Philos. Trans. R. Soc. London, 359, pp. 1233–1250.


Grahic Jump Location
A schematic showing the design of the apparatus used for both the gel and isolated heart inflation experiments. All electrical equipment was required to be outside the scanner room. Open loop control was used to control the piston pump. A TTL pulse was sent from the control unit at the commencement of each cycle. This pulse was converted to a triangle pulse to trigger the scanner image acquisition.
Grahic Jump Location
Typical axial SPAMM tagged images showing inflation of the deformable silicon gel phantom. The long axis of the phantom is aligned vertically in the image. Region A is water inside the inner cavity, region B is the silicon gel annulus, and region C is water outside the gel phantom. Note tag fading in the gel relative to free water outside the gel, due to the shorter gel T1 relaxation time constant. Dark and light lines denote inner and outer boundaries, respectively, and points denote tracked tag saturation stripes. (a) Zero relative internal pressure; (b) 3.1 kPa relative internal pressure.
Grahic Jump Location
Radial displacement profile at the centerline with various mesh resolutions for the cylindrical gel phantom model. The legend refers to the number of elements in the circumferential, longitudinal, and radial directions, respectively. All models overlie the 8×4×1 model, except the 4×1×1 model.
Grahic Jump Location
SPAMM tagged image and gel phantom finite element model. The color map shows the circumferential extension ratio, while lines show boundaries of the phantom model.
Grahic Jump Location
(a) Plan view of the rotational shear test apparatus. Moment couple F is applied to the outer cylinder, which is free to rotate with respect to the inner (fixed) cylinder. (b) Rotational shear test results for four different loading states and 15 radial positions. The plot shows the normalized data and fitted curve (slope C1=8.72 kPa;R2=0.9974).
Grahic Jump Location
Tagged MRI from the isolated heart passive inflation. Dark lines denote endocardial myocardial LV boundaries and light lines denote epicardial LV boundaries. Points denote tracked tag stripe points. (a) Short axis 0 kPa; (b) short axis 1.5 kPa, (c) long axis 0 kPa; (d) long axis 1.5 kPa.
Grahic Jump Location
The dynamic pressure–volume relationship for the passively inflated heart, inflated with a period of 1.5 s
Grahic Jump Location
(a) Fiber angle (defined as the angle to the imaging plane) calculated from diffusion imaging. Gray is parallel to the image plane. The fitted fiber angles on the fitted LV geometry. A linear basis was used through the wall, and three different transmural locations are shown here, starting on the left the endocardial fibers (b), the midwall (c), and the epicardial fibers (d).




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In