The Mathematical Institute, University of Oxford, Eprints Archive

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

Addison-Smith, B. and McElwain, D. L. S. and Maini, P. 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.

Item Type:Article
Additional Information:n/a
Uncontrolled Keywords:Angiogenesis; Mathematical model; Inhibitor; VEGF; Endostatin
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:674
Deposited By:Philip Maini
Deposited On:17 Jan 2008
Last Modified:20 Jul 2009 14:23

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