Analysis of travelling waves associated with the modelling of aerosolised skin grafts
A previous model developed by the authors investigates the growth patterns of keratinocyte cell colonies after they have been applied to a burn site using a spray technique. In this paper, we investigate a simplified one-dimensional version of the model. This model yields travelling wave solutions a...
| Main Authors: | , , |
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| Format: | Journal article |
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2006
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| _version_ | 1826261771009130496 |
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| author | Denman, P McElwain, D Norbury, J |
| author_facet | Denman, P McElwain, D Norbury, J |
| author_sort | Denman, P |
| collection | OXFORD |
| description | A previous model developed by the authors investigates the growth patterns of keratinocyte cell colonies after they have been applied to a burn site using a spray technique. In this paper, we investigate a simplified one-dimensional version of the model. This model yields travelling wave solutions and we analyse the behaviour of the travelling waves. Approximations for the rate of healing and maximum values for both the active healing and the healed cell densities are obtained. |
| first_indexed | 2024-03-06T19:25:54Z |
| format | Journal article |
| id | oxford-uuid:1bafbe83-1d48-48b2-9a57-984cdd37b280 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:25:54Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:1bafbe83-1d48-48b2-9a57-984cdd37b2802022-03-26T11:01:47ZAnalysis of travelling waves associated with the modelling of aerosolised skin graftsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1bafbe83-1d48-48b2-9a57-984cdd37b280Mathematical Institute - ePrints2006Denman, PMcElwain, DNorbury, JA previous model developed by the authors investigates the growth patterns of keratinocyte cell colonies after they have been applied to a burn site using a spray technique. In this paper, we investigate a simplified one-dimensional version of the model. This model yields travelling wave solutions and we analyse the behaviour of the travelling waves. Approximations for the rate of healing and maximum values for both the active healing and the healed cell densities are obtained. |
| spellingShingle | Denman, P McElwain, D Norbury, J Analysis of travelling waves associated with the modelling of aerosolised skin grafts |
| title | Analysis of travelling waves associated with the modelling of aerosolised skin grafts |
| title_full | Analysis of travelling waves associated with the modelling of aerosolised skin grafts |
| title_fullStr | Analysis of travelling waves associated with the modelling of aerosolised skin grafts |
| title_full_unstemmed | Analysis of travelling waves associated with the modelling of aerosolised skin grafts |
| title_short | Analysis of travelling waves associated with the modelling of aerosolised skin grafts |
| title_sort | analysis of travelling waves associated with the modelling of aerosolised skin grafts |
| work_keys_str_mv | AT denmanp analysisoftravellingwavesassociatedwiththemodellingofaerosolisedskingrafts AT mcelwaind analysisoftravellingwavesassociatedwiththemodellingofaerosolisedskingrafts AT norburyj analysisoftravellingwavesassociatedwiththemodellingofaerosolisedskingrafts |