Numerical simulation of inhibiting effects on solid tumour cells in anti-angiogenic therapy: application of coupled mathematical model of angiogenesis with tumour growth

被引：7
|
作者：
Cai, Yan [1 ]
Wu, Jie [2 ]
Xu, Shi-xiong [1 ]
Long, Quan [3 ]
Yao, Wei [1 ]
机构：
[1] Fudan Univ, Dept Mech & Engn Sci, Shanghai 200433, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, Shanghai 200240, Peoples R China
[3] Brunel Univ, Brunel Inst Bioengn, Uxbridge UB8 3PH, Middx, England
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2011年 / 32卷 / 10期
基金：
中国国家自然科学基金;
关键词：
tumour angiogenesis; tumour growth; anti-angiogenic therapy; coupled mathematical model; NONLINEAR SIMULATION; SET METHOD; CANCER; MICROVASCULATURE; MICROENVIRONMENT; INVASION;
D O I：
10.1007/s10483-011-1500-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
To investigate the inhibiting effects of the anti-angiogenic factor andostatin and the anti-angiogenic drug endostatin on tumour angiogenesis and tumour cells, a coupled mathematical model of tumor angiogenesis with tumour growth and blood perfusion is developed. Simulation results show that angiostatin and endostatin can improve the abnormal microenvironment inside the tumour tissue by effectively inhibiting the process of tumor angiogenesis and decreasing tumour cells. The present model can be used as a valid theoretical method in the investigation of the tumour anti-angiogenic therapy.
引用
收藏
页码：1287 / 1296
页数：10
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