Journal
JOURNAL OF THEORETICAL BIOLOGY
Volume 250, Issue 1, Pages 1-15Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2007.08.030
Keywords
angiogenesis; mathematical model; inhibitor; VEGF; endostatin
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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. (C) 2007 Elsevier Ltd. All rights reserved.
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