Spatially varying equilibria of mechanical models: application to dermal wound contraction.
Mechanochemical models based on the Oster-Murray continuum framework have been applied to a variety of biological settings to obtain an understanding of the morphogenesis of living tissues. Wound-healing in mammalian skin is an important example, because a complex sequence of biochemical and biomech...
| Asıl Yazarlar: | , , |
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| Materyal Türü: | Journal article |
| Dil: | English |
| Baskı/Yayın Bilgisi: |
1998
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| _version_ | 1826300034557149184 |
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| author | Olsen, L Maini, P Sherratt, J |
| author_facet | Olsen, L Maini, P Sherratt, J |
| author_sort | Olsen, L |
| collection | OXFORD |
| description | Mechanochemical models based on the Oster-Murray continuum framework have been applied to a variety of biological settings to obtain an understanding of the morphogenesis of living tissues. Wound-healing in mammalian skin is an important example, because a complex sequence of biochemical and biomechanical responses are orchestrated to close a wound by a combination of new tissue formation and wound contraction. Mechanical interactions between dermal fibroblastic cells and the collagen-rich extracellular matrix are crucial in the development of a contracted wound state. We and others have previously proposed mechanochemical models for wound repair to gain a greater understanding of both normal and abnormal healing. In the present work, the existence of spatially varying equilibria of these models is investigated by using a small-stain approximation and phase-plane techniques, with numerical simulations to confirm the analytical predictions. These results are sources of novel insight into the roles of key biological parameters in determining the mechanical properties of a contracted wound. These methods may also be relevant to other morphogenetic scenarios for which similar mechanochemical models have been proposed. |
| first_indexed | 2024-03-07T05:11:00Z |
| format | Journal article |
| id | oxford-uuid:db8b4a44-2076-46c0-aace-121937fbbd8d |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:11:00Z |
| publishDate | 1998 |
| record_format | dspace |
| spelling | oxford-uuid:db8b4a44-2076-46c0-aace-121937fbbd8d2022-03-27T09:11:19ZSpatially varying equilibria of mechanical models: application to dermal wound contraction.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:db8b4a44-2076-46c0-aace-121937fbbd8dEnglishSymplectic Elements at Oxford1998Olsen, LMaini, PSherratt, JMechanochemical models based on the Oster-Murray continuum framework have been applied to a variety of biological settings to obtain an understanding of the morphogenesis of living tissues. Wound-healing in mammalian skin is an important example, because a complex sequence of biochemical and biomechanical responses are orchestrated to close a wound by a combination of new tissue formation and wound contraction. Mechanical interactions between dermal fibroblastic cells and the collagen-rich extracellular matrix are crucial in the development of a contracted wound state. We and others have previously proposed mechanochemical models for wound repair to gain a greater understanding of both normal and abnormal healing. In the present work, the existence of spatially varying equilibria of these models is investigated by using a small-stain approximation and phase-plane techniques, with numerical simulations to confirm the analytical predictions. These results are sources of novel insight into the roles of key biological parameters in determining the mechanical properties of a contracted wound. These methods may also be relevant to other morphogenetic scenarios for which similar mechanochemical models have been proposed. |
| spellingShingle | Olsen, L Maini, P Sherratt, J Spatially varying equilibria of mechanical models: application to dermal wound contraction. |
| title | Spatially varying equilibria of mechanical models: application to dermal wound contraction. |
| title_full | Spatially varying equilibria of mechanical models: application to dermal wound contraction. |
| title_fullStr | Spatially varying equilibria of mechanical models: application to dermal wound contraction. |
| title_full_unstemmed | Spatially varying equilibria of mechanical models: application to dermal wound contraction. |
| title_short | Spatially varying equilibria of mechanical models: application to dermal wound contraction. |
| title_sort | spatially varying equilibria of mechanical models application to dermal wound contraction |
| work_keys_str_mv | AT olsenl spatiallyvaryingequilibriaofmechanicalmodelsapplicationtodermalwoundcontraction AT mainip spatiallyvaryingequilibriaofmechanicalmodelsapplicationtodermalwoundcontraction AT sherrattj spatiallyvaryingequilibriaofmechanicalmodelsapplicationtodermalwoundcontraction |