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, 8(5), 1995, pp. 71-76
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
8
Issue
5
Year of publication
1995
Pages
71 - 76
Database
ISI
SICI code
0893-9659(1995)8:5<71:ESOASM>2.0.ZU;2-A
Abstract
We present a mathematical model describing the growth and development of capillary sprouts in response to the chemotactic stimulus of a tumo ur angiogenesis factor (TAF). Exact analytical solutions are then deri ved for a simplified model which retain the salient qualitative featur es of the full model.