The DOI matches its Crossref record; 42 of the 42 references it cites were found in a registry or an index.
Constitutive modelling of passive myocardium: a structurally based framework for material characterization
Abstract
In this paper, we first of all review the morphology and structure of the myocardium and discuss the main features of the mechanical response of passive myocardium tissue, which is an orthotropic material. Locally within the architecture of the myocardium three mutually orthogonal directions can be identified, forming planes with distinct material responses. We treat the left ventricular myocardium as a non-homogeneous, thick-walled, nonlinearly elastic and incompressible material and develop a general theoretical framework based on invariants associated with the three directions. Within this framework we review existing constitutive models and then develop a structurally based model that accounts for the muscle fibre direction and the myocyte sheet structure. The model is applied to simple shear and biaxial deformations and a specific form fitted to the existing (and somewhat limited) experimental data, emphasizing the orthotropy and the limitations of biaxial tests. The need for additional data is highlighted. A brief discussion of issues of convexity of the model and related matters concludes the paper.
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Cites
Biomechanics. Mechanical Properties of Living Tissues
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Ogden, R. (1984) · Engineering Analysis with Boundary Elements · doi:10.1016/0955-7997(84)90049-3 · Cited by 3,489
Self-citationA new constitutive framework for arterial wall mechanics and a comparative study of material models
Holzapfel, G. A., Gasser, T. C., & Ogden, R. W. (2000) · Journal of Elasticity · doi:10.1023/a:1010835316564 · Cited by 3,071
Self-citationNonlinear Solid Mechanics: A Continuum Approach for Engineering
Holzapfel, G. A. (2000) · Cited by 2,700
Self-citationFung, Y.-C. (1993) · Springer eBooks · doi:10.1007/978-1-4757-2257-4 · Cited by 2,051
Stress-dependent finite growth in soft elastic tissues
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Katz, A. M. (1977) · Cited by 751
Passive Material Properties of Intact Ventricular Myocardium Determined From a Cylindrical Model
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Cited by
Constitutive modelling of arteries
Holzapfel, G. A., & Ogden, R. W. (2010) · Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2010.0058 · Cited by 528
Self-citationThe Living Heart Project: A robust and integrative simulator for human heart function
Baillargeon, B., Rebelo, N., Fox, D. D., Taylor, R. L., & Kuhl, E. (2014) · European Journal of Mechanics - A/Solids · doi:10.1016/j.euromechsol.2014.04.001 · Cited by 370
Bioengineering human myocardium on native extracellular matrix
Guyette, J. P., Charest, J. M., Mills, R. W., Jank, B. J., Moser, P. T., Gilpin, S. E., Gershlak, J. R., Okamoto, T., Gonzalez, G., Milan, D. J., et al. (2016) · Circulation Research · doi:10.1161/circresaha.115.306874 · Cited by 343
Biomechanical properties and microstructure of human ventricular myocardium
Sommer, G., Schriefl, A. J., Andrä, M., Sacherer, M., Viertler, C., Wolinski, H., & Holzapfel, G. A. (2015) · Acta Biomaterialia · doi:10.1016/j.actbio.2015.06.031 · Cited by 290
Self-citationImage-Based Predictive Modeling of Heart Mechanics
Wang, V. Y., Nielsen, P. M. F., & Nash, M. P. (2015) · Annual Review of Biomedical Engineering · doi:10.1146/annurev-bioeng-071114-040609 · Cited by 63
Metadata
- Authors
- Holzapfel, G. A., & Ogden, R. W.
- Venue
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Publisher
- The Royal Society
- Published
- 2009-09-13
- Volume
- 367
- Issue
- 1902
- Pages
- 3445-3475
- ISSN
- 1364-503X (ISSN-L)
- 1471-2962
- OpenAlex
- W2102339840
- Cited by
- 836
- References
- 42
- FWCI
- 11.45
- Type
- journal article
- Language
- en
- Open access
- closed
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- Holzapfel, G. A., & Ogden, R. W. (2009). Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. https://doi.org/10.1098/rsta.2009.0091
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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