Mathematical modelling of tissue formation in chondrocyte filter cultures.
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...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2011
|
| _version_ | 1826264038540050432 |
|---|---|
| author | Catt, C Schuurman, W Sengers, BG van Weeren, P Dhert, W Please, C Malda, J |
| author_facet | Catt, C Schuurman, W Sengers, BG van Weeren, P Dhert, W Please, C Malda, J |
| author_sort | Catt, C |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T20:01:24Z |
| format | Journal article |
| id | oxford-uuid:276c2b79-39fa-4145-afb1-f9f17841010a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:01:24Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:276c2b79-39fa-4145-afb1-f9f17841010a2022-03-26T12:06:52ZMathematical modelling of tissue formation in chondrocyte filter cultures.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:276c2b79-39fa-4145-afb1-f9f17841010aEnglishSymplectic Elements at Oxford2011Catt, CSchuurman, WSengers, BGvan Weeren, PDhert, WPlease, CMalda, JIn 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. |
| spellingShingle | Catt, C Schuurman, W Sengers, BG van Weeren, P Dhert, W Please, C Malda, J Mathematical modelling of tissue formation in chondrocyte filter cultures. |
| title | Mathematical modelling of tissue formation in chondrocyte filter cultures. |
| title_full | Mathematical modelling of tissue formation in chondrocyte filter cultures. |
| title_fullStr | Mathematical modelling of tissue formation in chondrocyte filter cultures. |
| title_full_unstemmed | Mathematical modelling of tissue formation in chondrocyte filter cultures. |
| title_short | Mathematical modelling of tissue formation in chondrocyte filter cultures. |
| title_sort | mathematical modelling of tissue formation in chondrocyte filter cultures |
| work_keys_str_mv | AT cattc mathematicalmodellingoftissueformationinchondrocytefiltercultures AT schuurmanw mathematicalmodellingoftissueformationinchondrocytefiltercultures AT sengersbg mathematicalmodellingoftissueformationinchondrocytefiltercultures AT vanweerenp mathematicalmodellingoftissueformationinchondrocytefiltercultures AT dhertw mathematicalmodellingoftissueformationinchondrocytefiltercultures AT pleasec mathematicalmodellingoftissueformationinchondrocytefiltercultures AT maldaj mathematicalmodellingoftissueformationinchondrocytefiltercultures |