EXPLICIT SOLUTIONS OF A SIMPLIFIED MODEL OF CAPILLARY SPROUT GROWTH DURING TUMOR ANGIOGENESIS

Authors
BYRNE HM CHAPLAIN MAJ
Citation
Hm. Byrne et Maj. Chaplain, EXPLICIT SOLUTIONS OF A SIMPLIFIED MODEL OF CAPILLARY SPROUT GROWTH DURING TUMOR ANGIOGENESIS, Applied mathematics letters, 9(1), 1996, pp. 69-74
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
9
Issue
1
Year of publication
1996
Pages
69 - 74
Database
ISI
SICI code
0893-9659(1996)9:1<69:ESOASM>2.0.ZU;2-B
Abstract
We present a mathematical model describing the growth and development of capillary sprouts in response to the chemotactic stimulus of a tumo r angiogenesis factor (TAF). Exact analytical solutions are then deriv ed for a simplified model which retain the salient qualitative feature s of the full model.