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...

Full description

Bibliographic Details
Main Authors: Addison-Smith, B, McElwain, D, Maini, P
Format: Journal article
Published: 2008
_version_ 1826296313214402560
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
work_keys_str_mv AT addisonsmithb asimplemechanisticmodelofsproutspacingintumourassociatedangiogenesis
AT mcelwaind asimplemechanisticmodelofsproutspacingintumourassociatedangiogenesis
AT mainip asimplemechanisticmodelofsproutspacingintumourassociatedangiogenesis
AT addisonsmithb simplemechanisticmodelofsproutspacingintumourassociatedangiogenesis
AT mcelwaind simplemechanisticmodelofsproutspacingintumourassociatedangiogenesis
AT mainip simplemechanisticmodelofsproutspacingintumourassociatedangiogenesis