Computational model for the analysis of cartilage and cartilage tissue constructs
We propose a new non-linear poroelastic model that is suited to the analysis of soft tissues. In this paper the model is tailored to the analysis of cartilage and the engineering design of cartilage constructs. The proposed continuum formulation of the governing equations enables the strain of the i...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | en_US |
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Wiley Blackwell
2015
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| Online Access: | http://hdl.handle.net/1721.1/99433 https://orcid.org/0000-0002-4942-3456 |
| _version_ | 1826206276614356992 |
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| author | Smith, David W. Gardiner, Bruce S. Davidson, John B. Grodzinsky, Alan J. |
| author2 | Massachusetts Institute of Technology. Center for Biomedical Engineering |
| author_facet | Massachusetts Institute of Technology. Center for Biomedical Engineering Smith, David W. Gardiner, Bruce S. Davidson, John B. Grodzinsky, Alan J. |
| author_sort | Smith, David W. |
| collection | MIT |
| description | We propose a new non-linear poroelastic model that is suited to the analysis of soft tissues. In this paper the model is tailored to the analysis of cartilage and the engineering design of cartilage constructs. The proposed continuum formulation of the governing equations enables the strain of the individual material components within the extracellular matrix (ECM) to be followed over time, as the individual material components are synthesized, assembled and incorporated within the ECM or lost through passive transport or degradation. The material component analysis developed here naturally captures the effect of time-dependent changes of ECM composition on the deformation and internal stress states of the ECM. For example, it is shown that increased synthesis of aggrecan by chondrocytes embedded within a decellularized cartilage matrix initially devoid of aggrecan results in osmotic expansion of the newly synthesized proteoglycan matrix and tension within the structural collagen network. Specifically, we predict that the collagen network experiences a tensile strain, with a maximum of ~2% at the fixed base of the cartilage. The analysis of an example problem demonstrates the temporal and spatial evolution of the stresses and strains in each component of a self-equilibrating composite tissue construct, and the role played by the flux of water through the tissue. |
| first_indexed | 2024-09-23T13:26:54Z |
| format | Article |
| id | mit-1721.1/99433 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:26:54Z |
| publishDate | 2015 |
| publisher | Wiley Blackwell |
| record_format | dspace |
| spelling | mit-1721.1/994332022-10-01T15:21:19Z Computational model for the analysis of cartilage and cartilage tissue constructs Smith, David W. Gardiner, Bruce S. Davidson, John B. Grodzinsky, Alan J. Massachusetts Institute of Technology. Center for Biomedical Engineering Massachusetts Institute of Technology. Department of Biological Engineering Grodzinsky, Alan J. We propose a new non-linear poroelastic model that is suited to the analysis of soft tissues. In this paper the model is tailored to the analysis of cartilage and the engineering design of cartilage constructs. The proposed continuum formulation of the governing equations enables the strain of the individual material components within the extracellular matrix (ECM) to be followed over time, as the individual material components are synthesized, assembled and incorporated within the ECM or lost through passive transport or degradation. The material component analysis developed here naturally captures the effect of time-dependent changes of ECM composition on the deformation and internal stress states of the ECM. For example, it is shown that increased synthesis of aggrecan by chondrocytes embedded within a decellularized cartilage matrix initially devoid of aggrecan results in osmotic expansion of the newly synthesized proteoglycan matrix and tension within the structural collagen network. Specifically, we predict that the collagen network experiences a tensile strain, with a maximum of ~2% at the fixed base of the cartilage. The analysis of an example problem demonstrates the temporal and spatial evolution of the stresses and strains in each component of a self-equilibrating composite tissue construct, and the role played by the flux of water through the tissue. Australian Research Council (Grant ARC DP0988001) National Health and Medical Research Council (Australia) (Grant APP 1051538) National Institutes of Health (U.S.) (Grant AR60331) 2015-10-23T14:55:21Z 2015-10-23T14:55:21Z 2013-06 2013-02 Article http://purl.org/eprint/type/JournalArticle 19326254 1932-7005 http://hdl.handle.net/1721.1/99433 Smith, David W., Bruce S. Gardiner, John B. Davidson, and Alan J. Grodzinsky. “Computational Model for the Analysis of Cartilage and Cartilage Tissue Constructs.” Journal of Tissue Engineering and Regenerative Medicine (June 2013): n/a–n/a. https://orcid.org/0000-0002-4942-3456 en_US http://dx.doi.org/10.1002/term.1751 Journal of Tissue Engineering and Regenerative Medicine Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Wiley Blackwell PMC |
| spellingShingle | Smith, David W. Gardiner, Bruce S. Davidson, John B. Grodzinsky, Alan J. Computational model for the analysis of cartilage and cartilage tissue constructs |
| title | Computational model for the analysis of cartilage and cartilage tissue constructs |
| title_full | Computational model for the analysis of cartilage and cartilage tissue constructs |
| title_fullStr | Computational model for the analysis of cartilage and cartilage tissue constructs |
| title_full_unstemmed | Computational model for the analysis of cartilage and cartilage tissue constructs |
| title_short | Computational model for the analysis of cartilage and cartilage tissue constructs |
| title_sort | computational model for the analysis of cartilage and cartilage tissue constructs |
| url | http://hdl.handle.net/1721.1/99433 https://orcid.org/0000-0002-4942-3456 |
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