The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
A CONSTRAINED MIXTURE MODEL FOR GROWTH AND REMODELING OF SOFT TISSUES
Abstract
Not long ago it was thought that the most important characteristics of the mechanics of soft tissues were their complex mechanical properties: they often exhibit nonlinear, anisotropic, nearly incompressible, viscoelastic behavior over finite strains. Indeed, these properties endow soft tissues with unique structural capabilities that continue to be extremely challenging to quantify via constitutive relations. More recently, however, we have come to appreciate an even more important characteristic of soft tissues, their homeostatic tendency to adapt in response to changes in their mechanical environment. Thus, to understand well the biomechanical properties of a soft tissue, we must not only quantify their structure and function at a given time, we must also quantify how their structure and function change in response to altered stimuli. In this paper, we introduce a new constrained mixture theory model for studying growth and remodeling of soft tissues. The model melds ideas from classical mixture and homogenization theories so as to exploit advantages of each while avoiding particular difficulties. Salient features include the kinetics of the production and removal of individual constituents and recognition that the neighborhood of a material point of each constituent can have a different, evolving natural (i.e. stress-free) configuration.
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Cites
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CELLULAR AND MOLECULAR MECHANISMS OF PULMONARY VASCULAR REMODELING
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Self-citationRemodeling of Developing and Mature Arteries: Endothelium, Smooth Muscle, and Matrix
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Cited by
Mechanotransduction and extracellular matrix homeostasis
Humphrey, J. D., Dufresne, E. R., & Schwartz, M. A. (2014) · Nature Reviews Molecular Cell Biology · doi:10.1038/nrm3896 · Cited by 2,124
Self-citationNonlinear modelling of cancer: bridging the gap between cells and tumours
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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
Patient-Specific Modeling of Cardiovascular Mechanics
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Vascular Adaptation and Mechanical Homeostasis at Tissue, Cellular, and Sub-cellular Levels
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Metadata
- Authors
- HUMPHREY, J. D., & RAJAGOPAL, K. R.
- Venue
- Mathematical Models and Methods in Applied Sciences
- Publisher
- World Scientific Pub Co Pte Ltd
- Published
- 2002-03
- Volume
- 12
- Issue
- 03
- Pages
- 407-430
- ISSN
- 0218-2025 (ISSN-L)
- 1793-6314
- OpenAlex
- W2049208430
- Cited by
- 758
- References
- 21
- FWCI
- 10.92
- Type
- journal article
- Language
- en
- Open access
- closed
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- HUMPHREY, J. D., & RAJAGOPAL, K. R. (2002). A CONSTRAINED MIXTURE MODEL FOR GROWTH AND REMODELING OF SOFT TISSUES. Mathematical Models and Methods in Applied Sciences. https://doi.org/10.1142/s0218202502001714
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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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