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The impact of exclusion processes on angiogenesis models

Abstract:

Angiogenesis is the process by which new blood vessels form from existing vessels. During angiogenesis, tip cells migrate via diffusion and chemotaxis, new tip cells are introduced through branching, loops form via tip-to-tip and tipto-sprout anastomosis, and a vessel network forms as endothelial cells, known as stalk cells, follow the paths of tip cells (a process known as the snail-trail). Using a mean-field approximation, we systematically derive one-dimensional non-linear continuum models...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1007/s00285-018-1214-1

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
St Johns College
ORCID:
0000-0002-0146-9164
Publisher:
Springer Berlin Heidelberg Publisher's website
Journal:
Journal of Mathematical Biology Journal website
Volume:
77
Issue:
6-7
Pages:
1721–1759
Publication date:
2018-03-06
Acceptance date:
2018-02-05
DOI:
EISSN:
1432-1416
ISSN:
0303-6812
Pubs id:
pubs:822943
URN:
uri:1cca37be-2922-4c6a-9ea3-e6a2760158aa
UUID:
uuid:1cca37be-2922-4c6a-9ea3-e6a2760158aa
Local pid:
pubs:822943

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