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A simple mechanistic model of sprout spacing in tumour-associated angiogenesis

McElwain, Sean, Addison-Smith, Beth, & Maini, Philip K. (2008) A simple mechanistic model of sprout spacing in tumour-associated angiogenesis. Journal of Theoretical Biology, 250(1), pp. 1-15.

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Abstract

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.

Impact and interest:

10 citations in Scopus
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10 citations in Web of Science®

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ID Code: 19673
Item Type: Journal Article
Keywords: Angiogenesis, Mathematical model, Inhibitor, VEGF, Endostatin
DOI: 10.1016/j.jtbi.2007.08.030
ISSN: 0022-5193
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Biological Mathematics (010202)
Divisions: Current > QUT Faculties and Divisions > Faculty of Health
Current > Institutes > Institute of Health and Biomedical Innovation
Past > Schools > Mathematical Sciences
Deposited On: 23 Apr 2009 12:00
Last Modified: 29 Feb 2012 23:39

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