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Determination of a Constitutive Relation for Passive Myocardium: II.—Parameter Estimation
Abstract
In the first paper of this series, we proposed a new transversely isotropic pseudostrain-energy function W for describing the biomechanical behavior of excised noncontracting myocardium. The specific functional form of W was inferred directly from biaxial data to be a polynomial function of two coordinate invariant measures of the finite deformation and five material parameters. In this paper, best-fit values of the material parameters are determined from biaxial data using a nonlinear least-squares regression. These values of the parameters are shown to be well-determined, and the final constitutive relation is shown to have good predictive capabilities. Since the proposed constitutive relation describes much broader classes of in-vitro biaxial data than previously proposed relations, it may be better applicable to analyses of stress in the passive heart.
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Cited by
Holzapfel, G. A., & Ogden, R. W. (2009) · Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rsta.2009.0091 · Cited by 836
Review Paper: Continuum biomechanics of soft biological tissues
Humphrey, J. D. (2003) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2002.1060 · Cited by 620
Self-citationScaffold Design and Manufacturing: From Concept to Clinic
Hollister, S. J. (2009) · Advanced Materials · doi:10.1002/adma.200802977 · Cited by 408
Billiar, K. L., & Sacks, M. S. (2000) · Journal of Biomechanical Engineering · doi:10.1115/1.1287158 · Cited by 366
Schriefl, A. J., Zeindlinger, G., Pierce, D. M., Regitnig, P., & Holzapfel, G. A. (2012) · Journal of The Royal Society Interface · doi:10.1098/rsif.2011.0727 · Cited by 353
Metadata
- Authors
- Humphrey, J. D., Strumpf, R. K., & Yin, F. C. P.
- Venue
- Journal of Biomechanical Engineering
- Publisher
- ASME International
- Published
- 1990-08-01
- Volume
- 112
- Issue
- 3
- Pages
- 340-346
- ISSN
- 0148-0731 (ISSN-L)
- 1528-8951
- OpenAlex
- W2043938150
- Cited by
- 275
- References
- 0
- FWCI
- 2.32
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Determination of a Constitutive Relation for Passive Myocardium: II.—Parameter Estimation. https://app.cochat.ai/papers/10.1115/1.2891194
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- Humphrey, J. D., Strumpf, R. K., & Yin, F. C. P. (1990). Determination of a Constitutive Relation for Passive Myocardium: II.—Parameter Estimation. Journal of Biomechanical Engineering. https://doi.org/10.1115/1.2891194
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
