Time Evolution of Deformation in a Human Cartilage Under Cyclic Loading
Recent imaging has revealed that in vivo contact deformations of human knee cartilage under physiological loadings are surprisingly large—typically on the order of 10%, but up to 20 or 30% of tibiofemora cartilage thickness depending on loading conditions. In this paper we develop a biphasic, large...
| Main Authors: | , , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer US
2016
|
| Online Access: | http://hdl.handle.net/1721.1/103524 https://orcid.org/0000-0002-4942-3456 |
| _version_ | 1811079796709392384 |
|---|---|
| author | Zhang, Lihai Miramini, Saeed Smith, David W. Gardiner, Bruce S. Grodzinsky, Alan J. |
| author2 | Massachusetts Institute of Technology. Center for Biomedical Engineering |
| author_facet | Massachusetts Institute of Technology. Center for Biomedical Engineering Zhang, Lihai Miramini, Saeed Smith, David W. Gardiner, Bruce S. Grodzinsky, Alan J. |
| author_sort | Zhang, Lihai |
| collection | MIT |
| description | Recent imaging has revealed that in vivo contact deformations of human knee cartilage under physiological loadings are surprisingly large—typically on the order of 10%, but up to 20 or 30% of tibiofemora cartilage thickness depending on loading conditions. In this paper we develop a biphasic, large deformation, non-linear poroelastic model of cartilage that can accurately represent the time dependence and magnitude of cyclic cartilage deformations in vivo. The model takes into account cartilage tension–compression nonlinearity and a new constitutive relation in which the compressive stiffness and hydraulic permeability of the cartilage adjusts in response to the strain-dependent aggrecan concentration. The model predictions are validated using experimental test results on osteochondral plugs obtained from human cadavers. We find that model parameters can be optimised to give an excellent fit to the experimental data. Using typical hydraulic conductivity and stiffness parameters for healthy cartilage, we find that the experimentally observed transient and steady state tissue deformations under cyclic loading and unloading can be reproduced by the model. Steady state tissue deformations are shown to cycle between 10% (exudation strain) and 20% (total strain) in response to the cyclic test loads. At steady-state cyclic loading, the pore fluid exuded from the tissue is exactly equal to the pore fluid imbibed by the tissue during each load cycle. |
| first_indexed | 2024-09-23T11:20:35Z |
| format | Article |
| id | mit-1721.1/103524 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:20:35Z |
| publishDate | 2016 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1035242022-10-01T02:59:34Z Time Evolution of Deformation in a Human Cartilage Under Cyclic Loading Zhang, Lihai Miramini, Saeed Smith, David W. Gardiner, Bruce S. Grodzinsky, Alan J. Massachusetts Institute of Technology. Center for Biomedical Engineering Massachusetts Institute of Technology. Department of Biological Engineering Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Department of Mechanical Engineering Grodzinsky, Alan J. Recent imaging has revealed that in vivo contact deformations of human knee cartilage under physiological loadings are surprisingly large—typically on the order of 10%, but up to 20 or 30% of tibiofemora cartilage thickness depending on loading conditions. In this paper we develop a biphasic, large deformation, non-linear poroelastic model of cartilage that can accurately represent the time dependence and magnitude of cyclic cartilage deformations in vivo. The model takes into account cartilage tension–compression nonlinearity and a new constitutive relation in which the compressive stiffness and hydraulic permeability of the cartilage adjusts in response to the strain-dependent aggrecan concentration. The model predictions are validated using experimental test results on osteochondral plugs obtained from human cadavers. We find that model parameters can be optimised to give an excellent fit to the experimental data. Using typical hydraulic conductivity and stiffness parameters for healthy cartilage, we find that the experimentally observed transient and steady state tissue deformations under cyclic loading and unloading can be reproduced by the model. Steady state tissue deformations are shown to cycle between 10% (exudation strain) and 20% (total strain) in response to the cyclic test loads. At steady-state cyclic loading, the pore fluid exuded from the tissue is exactly equal to the pore fluid imbibed by the tissue during each load cycle. National Health and Medical Research Council (Australia) (Grant Ref APP1051538) National Institutes of Health (U.S.) (Grant AR060331) 2016-07-01T22:57:24Z 2016-07-01T22:57:24Z 2014-10 2014-04 2016-05-23T12:16:42Z Article http://purl.org/eprint/type/JournalArticle 0090-6964 1573-9686 http://hdl.handle.net/1721.1/103524 Zhang, Lihai, Saeed Miramini, David W. Smith, Bruce S. Gardiner, and Alan J. Grodzinsky. “Time Evolution of Deformation in a Human Cartilage Under Cyclic Loading.” Ann Biomed Eng 43, no. 5 (October 21, 2014): 1166–1177. https://orcid.org/0000-0002-4942-3456 en http://dx.doi.org/10.1007/s10439-014-1164-8 Annals of Biomedical Engineering Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ Biomedical Engineering Society application/pdf Springer US Springer US |
| spellingShingle | Zhang, Lihai Miramini, Saeed Smith, David W. Gardiner, Bruce S. Grodzinsky, Alan J. Time Evolution of Deformation in a Human Cartilage Under Cyclic Loading |
| title | Time Evolution of Deformation in a Human Cartilage Under Cyclic Loading |
| title_full | Time Evolution of Deformation in a Human Cartilage Under Cyclic Loading |
| title_fullStr | Time Evolution of Deformation in a Human Cartilage Under Cyclic Loading |
| title_full_unstemmed | Time Evolution of Deformation in a Human Cartilage Under Cyclic Loading |
| title_short | Time Evolution of Deformation in a Human Cartilage Under Cyclic Loading |
| title_sort | time evolution of deformation in a human cartilage under cyclic loading |
| url | http://hdl.handle.net/1721.1/103524 https://orcid.org/0000-0002-4942-3456 |
| work_keys_str_mv | AT zhanglihai timeevolutionofdeformationinahumancartilageundercyclicloading AT miraminisaeed timeevolutionofdeformationinahumancartilageundercyclicloading AT smithdavidw timeevolutionofdeformationinahumancartilageundercyclicloading AT gardinerbruces timeevolutionofdeformationinahumancartilageundercyclicloading AT grodzinskyalanj timeevolutionofdeformationinahumancartilageundercyclicloading |