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

被引:3
作者
BYRNE, HM
CHAPLAIN, MAJ
机构
[1] School of Mathematical Sciences, University of Bath Claverton Down, Bath
关键词
TUMOR ANGIOGENESIS; CHEMOTAXIS; NONLINEAR WAVES;
D O I
10.1016/0893-9659(95)00069-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a mathematical model describing the growth and development of capillary sprouts in response to the chemotactic stimulus of a tumour angiogenesis factor (TAF). Exact analytical solutions are then derived for a simplified model which retain the salient qualitative features of the full model.
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页码:71 / 76
页数:6
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