Travelling waves in a wound healing assay
Several authors have predicted that cell propagation in a number of biological contexts, for example, wound healing, tumour cell invasion, angiogenesis etc., occurs due to a constant speed travelling wave of invasion. The analyses of these models to arrive at this prediction is, in many cases, essen...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2004
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| _version_ | 1826282826059743232 |
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| author | Maini, P McElwain, D Leavesley, D |
| author_facet | Maini, P McElwain, D Leavesley, D |
| author_sort | Maini, P |
| collection | OXFORD |
| description | Several authors have predicted that cell propagation in a number of biological contexts, for example, wound healing, tumour cell invasion, angiogenesis etc., occurs due to a constant speed travelling wave of invasion. The analyses of these models to arrive at this prediction is, in many cases, essentially an extension of the classical analysis of Fisher's equation. Here, we show that a very simple wound healing assay does indeed give rise to constant speed travelling waves. To our knowledge, this is the first verification of Fisher's equation in a medical context. © 2004 Elsevier Ltd. All rights reserved. |
| first_indexed | 2024-03-07T00:49:41Z |
| format | Journal article |
| id | oxford-uuid:85f26fe9-8c22-4c25-96f9-91169c126321 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:49:41Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:85f26fe9-8c22-4c25-96f9-91169c1263212022-03-26T22:00:52ZTravelling waves in a wound healing assayJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:85f26fe9-8c22-4c25-96f9-91169c126321EnglishSymplectic Elements at Oxford2004Maini, PMcElwain, DLeavesley, DSeveral authors have predicted that cell propagation in a number of biological contexts, for example, wound healing, tumour cell invasion, angiogenesis etc., occurs due to a constant speed travelling wave of invasion. The analyses of these models to arrive at this prediction is, in many cases, essentially an extension of the classical analysis of Fisher's equation. Here, we show that a very simple wound healing assay does indeed give rise to constant speed travelling waves. To our knowledge, this is the first verification of Fisher's equation in a medical context. © 2004 Elsevier Ltd. All rights reserved. |
| spellingShingle | Maini, P McElwain, D Leavesley, D Travelling waves in a wound healing assay |
| title | Travelling waves in a wound healing assay |
| title_full | Travelling waves in a wound healing assay |
| title_fullStr | Travelling waves in a wound healing assay |
| title_full_unstemmed | Travelling waves in a wound healing assay |
| title_short | Travelling waves in a wound healing assay |
| title_sort | travelling waves in a wound healing assay |
| work_keys_str_mv | AT mainip travellingwavesinawoundhealingassay AT mcelwaind travellingwavesinawoundhealingassay AT leavesleyd travellingwavesinawoundhealingassay |