Mathematical modelling of tissue formation in chondrocyte filter cultures
Catt, C.J., Schuurman, W., Sengers, B.G., van Weeren, P.R., Dhert, W.J.A., Please, C.P. and Malda, J. (2011) Mathematical modelling of tissue formation in chondrocyte filter cultures. European Cells and Materials, 22, 377-392. (PMID:22179936).
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In the field of cartilage tissue engineering, filter cultures are a frequently used three-dimensional differentiation model. However, understanding of the governing processes of in vitro growth and development of tissue in these models is limited. Therefore, this study aimed to further characterise these processes by means of an approach combining both experimental and applied mathematical methods. A mathematical model was constructed, consisting of partial differential equations predicting the distribution of cells and glycosaminoglycans (GAGs), as well as the overall thickness of the tissue. Experimental data was collected to allow comparison with the predictions of the simulation and refinement of the initial models. Healthy mature equine chondrocytes were expanded and subsequently seeded on collagen-coated filters and cultured for up to 7 weeks. Resulting samples were characterised biochemically, as well as histologically. The simulations showed a good representation of the experimentally obtained cell and matrix distribution within the cultures. The mathematical results indicate that the experimental GAG and cell distribution is critically dependent on the rate at which the cell differentiation process takes place, which has important implications for interpreting experimental results. This study demonstrates that large regions of the tissue are inactive in terms of proliferation and growth of the layer. In particular, this would imply that higher seeding densities will not significantly affect the growth rate. A simple mathematical model was developed to predict the observed experimental data and enable interpretation of the principal underlying mechanisms controlling growth-related changes in tissue composition.
|Keywords:||cartilage, tissue engineering, mathematical modelling, filter culture|
|Subjects:||Q Science > QA Mathematics
Q Science > QH Natural history > QH301 Biology
T Technology > TA Engineering (General). Civil engineering (General)
|Divisions:||Faculty of Engineering and the Environment
Faculty of Social and Human Sciences > Mathematics
|Date Deposited:||08 Mar 2012 10:26|
|Last Modified:||08 Mar 2012 10:29|
|Contributors:||Catt, C.J. (Author)
Schuurman, W. (Author)
Sengers, B.G. (Author)
van Weeren, P.R. (Author)
Dhert, W.J.A. (Author)
Please, C.P. (Author)
Malda, J. (Author)
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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