An inverse approach to determining myocardial material properties

Michael J. Moulton, Lawrence L. Creswell, Ricardo L. Actis, Kent W. Myers, Michael W. Vannier, Barna A. Szabo, Michael K. Pasque

Research output: Contribution to journalArticle

75 Citations (Scopus)

Abstract

Passive myocardial material properties have been measured previously by subjecting test samples of myocardium to in vitro load-deformation analysis or, in the intact heart, by pressure-volume relationships. A new method for determining passive material properties, described in this paper, couples a p-version finite element model of the heart, a nonlinear optimization algorithm and a dense set of transmural measured strains that could be obtained in the intact heart by magnetic resonance imaging (MRI) radiofrequency tissue tagging. Unknown material parameters for a nonlinear, nonhomogeneous material law are determined by solving an inverse boundary value problem. An objective function relating the least-squares difference of model-predicted and measured strains is minimized with respect to the unknown material parameters using a novel optimization algorithm that utilizes forward finite element solutions to calculate derivatives of model-predicted strains with respect to the material parameters. Test cases incorporating several salient features of the inverse material identification problem for the heart are formulated to test the performance of the inverse algorithm in typical experimental conditions. Known true material parameters can be determined to within a small tolerance and random noise is shown not to affect the stability of the inverse solution appreciably. On the basis of these validation experiments, we conclude that the inverse material identification problem for the heart can be extended to solve for unknown material parameters that describe in vivo myocardial material behavior.

Original languageEnglish (US)
Pages (from-to)935-939,941-948
JournalJournal of Biomechanics
Volume28
Issue number8
DOIs
StatePublished - Aug 1995

Fingerprint

Materials properties
Cardiac Volume
Least-Squares Analysis
Myocardium
Magnetic Resonance Imaging
Pressure
Magnetic resonance
Boundary value problems
Tissue
Derivatives
Imaging techniques
Experiments

Keywords

  • Finite element modeling
  • Heart muscle
  • Material properties
  • Myocardium

ASJC Scopus subject areas

  • Biophysics
  • Orthopedics and Sports Medicine
  • Biomedical Engineering
  • Rehabilitation

Cite this

Moulton, M. J., Creswell, L. L., Actis, R. L., Myers, K. W., Vannier, M. W., Szabo, B. A., & Pasque, M. K. (1995). An inverse approach to determining myocardial material properties. Journal of Biomechanics, 28(8), 935-939,941-948. https://doi.org/10.1016/0021-9290(94)00144-S

An inverse approach to determining myocardial material properties. / Moulton, Michael J.; Creswell, Lawrence L.; Actis, Ricardo L.; Myers, Kent W.; Vannier, Michael W.; Szabo, Barna A.; Pasque, Michael K.

In: Journal of Biomechanics, Vol. 28, No. 8, 08.1995, p. 935-939,941-948.

Research output: Contribution to journalArticle

Moulton, MJ, Creswell, LL, Actis, RL, Myers, KW, Vannier, MW, Szabo, BA & Pasque, MK 1995, 'An inverse approach to determining myocardial material properties', Journal of Biomechanics, vol. 28, no. 8, pp. 935-939,941-948. https://doi.org/10.1016/0021-9290(94)00144-S
Moulton MJ, Creswell LL, Actis RL, Myers KW, Vannier MW, Szabo BA et al. An inverse approach to determining myocardial material properties. Journal of Biomechanics. 1995 Aug;28(8):935-939,941-948. https://doi.org/10.1016/0021-9290(94)00144-S
Moulton, Michael J. ; Creswell, Lawrence L. ; Actis, Ricardo L. ; Myers, Kent W. ; Vannier, Michael W. ; Szabo, Barna A. ; Pasque, Michael K. / An inverse approach to determining myocardial material properties. In: Journal of Biomechanics. 1995 ; Vol. 28, No. 8. pp. 935-939,941-948.
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