A simple mechanistic model of sprout spacing in tumour-associated angiogenesis
This paper develops a simple mathematical model of the siting of capillary sprouts on an existing blood vessel during the initiation of tumour-induced angiogenesis. The model represents an inceptive attempt to address the question of how unchecked sprouting of the parent vessel is avoided at the ini...
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Format: | Journal article |
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2008
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author | Addison-Smith, B McElwain, D Maini, P |
author_facet | Addison-Smith, B McElwain, D Maini, P |
author_sort | Addison-Smith, B |
collection | OXFORD |
description | This paper develops a simple mathematical model of the siting of capillary sprouts on an existing blood vessel during the initiation of tumour-induced angiogenesis. The model represents an inceptive attempt to address the question of how unchecked sprouting of the parent vessel is avoided at the initiation of angiogenesis, based on the idea that feedback regulation processes play the dominant role. No chemical interaction between the proangiogenic and antiangiogenic factors is assumed. The model is based on corneal pocket experiments, and provides a mathematical analysis of the initial spacing of angiogenic sprouts. |
first_indexed | 2024-03-07T04:14:25Z |
format | Journal article |
id | oxford-uuid:c8ee577f-51ea-4f4e-8332-036e5817f0e2 |
institution | University of Oxford |
last_indexed | 2024-03-07T04:14:25Z |
publishDate | 2008 |
record_format | dspace |
spelling | oxford-uuid:c8ee577f-51ea-4f4e-8332-036e5817f0e22022-03-27T06:55:29ZA simple mechanistic model of sprout spacing in tumour-associated angiogenesisJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c8ee577f-51ea-4f4e-8332-036e5817f0e2Mathematical Institute - ePrints2008Addison-Smith, BMcElwain, DMaini, PThis paper develops a simple mathematical model of the siting of capillary sprouts on an existing blood vessel during the initiation of tumour-induced angiogenesis. The model represents an inceptive attempt to address the question of how unchecked sprouting of the parent vessel is avoided at the initiation of angiogenesis, based on the idea that feedback regulation processes play the dominant role. No chemical interaction between the proangiogenic and antiangiogenic factors is assumed. The model is based on corneal pocket experiments, and provides a mathematical analysis of the initial spacing of angiogenic sprouts. |
spellingShingle | Addison-Smith, B McElwain, D Maini, P A simple mechanistic model of sprout spacing in tumour-associated angiogenesis |
title | A simple mechanistic model of sprout spacing in tumour-associated angiogenesis |
title_full | A simple mechanistic model of sprout spacing in tumour-associated angiogenesis |
title_fullStr | A simple mechanistic model of sprout spacing in tumour-associated angiogenesis |
title_full_unstemmed | A simple mechanistic model of sprout spacing in tumour-associated angiogenesis |
title_short | A simple mechanistic model of sprout spacing in tumour-associated angiogenesis |
title_sort | simple mechanistic model of sprout spacing in tumour associated angiogenesis |
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