Investigating a simple model of cutaneous wound healing angiogenesis.
A simple model of wound healing angiogenesis is presented, and investigated using numerical and asymptotic techniques. The model captures many key qualitative features of the wound healing angiogenic response, such as the propagation of a structural unit into the wound centre. A detailed perturbativ...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2002
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| _version_ | 1826280430658125824 |
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| author | Gaffney, E Pugh, K Maini, P Arnold, F |
| author_facet | Gaffney, E Pugh, K Maini, P Arnold, F |
| author_sort | Gaffney, E |
| collection | OXFORD |
| description | A simple model of wound healing angiogenesis is presented, and investigated using numerical and asymptotic techniques. The model captures many key qualitative features of the wound healing angiogenic response, such as the propagation of a structural unit into the wound centre. A detailed perturbative study is pursued, and is shown to capture all features of the model. This enables one to show that the level of the angiogenic response predicted by the model is governed to a good approximation by a small number of parameter groupings. Further investigation leads to predictions concerning how one should select between potential optimal means of stimulating cell proliferation in order to increase the level of the angiogenic response. |
| first_indexed | 2024-03-07T00:13:36Z |
| format | Journal article |
| id | oxford-uuid:7a156073-0f55-44ae-9f61-11d07c12706b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:13:36Z |
| publishDate | 2002 |
| record_format | dspace |
| spelling | oxford-uuid:7a156073-0f55-44ae-9f61-11d07c12706b2022-03-26T20:41:36ZInvestigating a simple model of cutaneous wound healing angiogenesis.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7a156073-0f55-44ae-9f61-11d07c12706bEnglishSymplectic Elements at Oxford2002Gaffney, EPugh, KMaini, PArnold, FA simple model of wound healing angiogenesis is presented, and investigated using numerical and asymptotic techniques. The model captures many key qualitative features of the wound healing angiogenic response, such as the propagation of a structural unit into the wound centre. A detailed perturbative study is pursued, and is shown to capture all features of the model. This enables one to show that the level of the angiogenic response predicted by the model is governed to a good approximation by a small number of parameter groupings. Further investigation leads to predictions concerning how one should select between potential optimal means of stimulating cell proliferation in order to increase the level of the angiogenic response. |
| spellingShingle | Gaffney, E Pugh, K Maini, P Arnold, F Investigating a simple model of cutaneous wound healing angiogenesis. |
| title | Investigating a simple model of cutaneous wound healing angiogenesis. |
| title_full | Investigating a simple model of cutaneous wound healing angiogenesis. |
| title_fullStr | Investigating a simple model of cutaneous wound healing angiogenesis. |
| title_full_unstemmed | Investigating a simple model of cutaneous wound healing angiogenesis. |
| title_short | Investigating a simple model of cutaneous wound healing angiogenesis. |
| title_sort | investigating a simple model of cutaneous wound healing angiogenesis |
| work_keys_str_mv | AT gaffneye investigatingasimplemodelofcutaneouswoundhealingangiogenesis AT pughk investigatingasimplemodelofcutaneouswoundhealingangiogenesis AT mainip investigatingasimplemodelofcutaneouswoundhealingangiogenesis AT arnoldf investigatingasimplemodelofcutaneouswoundhealingangiogenesis |