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Numerical simulation of inhibiting effects on solid tumour cells in anti-angiogenic therapy: application of coupled mathematical model of angiogenesis with tumour growth 被引量:1

Numerical simulation of inhibiting effects on solid tumour cells in anti-angiogenic therapy: application of coupled mathematical model of angiogenesis with tumour growth
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摘要 To investigate the inhibiting effects of the anti-angiogenic factor andostatin and the anti-angiogenic drug endostatin on turnout angiogenesis and turnout 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. To investigate the inhibiting effects of the anti-angiogenic factor andostatin and the anti-angiogenic drug endostatin on turnout angiogenesis and turnout 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第10期1287-1296,共10页 应用数学和力学(英文版)
基金 supported by the National Natural Science Foundation of China(Nos.10372026 and 10772051) the Shanghai Leading Academic Discipline Project(No.B112)
关键词 mathematical tumour angiogenesis tumour growth anti-angiogenic therapy coupled model mathematical tumour angiogenesis, tumour growth, anti-angiogenic therapy, coupled model
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  • 1Y.Cai,1,2 S.X.Xu,1,a) J.Wu,3 and Q.Long 2,b) 1) Department of Mechanics and Engineering Science,Fudan University,Shanghai 200433,China 2) Brunel Institute for Bioengineering,School of Engineering and Design,Brunel University,Uxbridge,Middlesex,UK 3) School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiaotong University,Shanghai 200240,China.Coupled modeling of tumour angiogenesis, tumour growth,and blood perfusion[J].Theoretical & Applied Mechanics Letters,2011,1(4):80-82. 被引量:8

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