title: A simple mechanistic model of sprout spacing in tumour-associated angiogenesis.
abstract: This paper develops a simple mathematical model of the sitting 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.
authors.affiliation: School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane 4001, Australia. b.addison-smith@qut.edu.au <b.addison-smith@qut.edu.au>
authors.forename: B
authors.initials: B
authors.lastname: Addison-Smith
authors.forename: D L S
authors.initials: DL
authors.lastname: McElwain
authors.forename: P K
authors.initials: PK
authors.lastname: Maini
mesh_terms: D020533:Angiogenesis Inhibitors / Q000096:biosynthesis; D000818:Animals; D016510:Corneal Neovascularization / Q000473:pathology; D008955:Models, Cardiovascular; D009368:Neoplasm Transplantation; D009369:Neoplasms / Q000098:blood supply* / Q000378:metabolism; D009389:Neovascularization, Pathologic / Q000378:metabolism / Q000473:pathology*; D011817:Rabbits
chemical_list: D020533:Angiogenesis Inhibitors