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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (10): 1287-1296.doi: https://doi.org/10.1007/s10483-011-1500-9

• Articles • 上一篇    下一篇

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

蔡彦1 吴洁2 许世雄1 龙泉3 姚伟1   

  1. 1. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P. R. China;
    2. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China;
    3. Brunel Institute for Bioengineering, Brunel University, Uxbridge, Middlesex UB8 3PH, UK
  • 收稿日期:2011-01-14 修回日期:2011-06-14 出版日期:2011-10-09 发布日期:2011-10-09

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

 CAI Yan1, WU Jie2, XU Shi-Xiong1, LONG Quan3, YAO Wei1   

  1. 1. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P. R. China;
    2. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China;
    3. Brunel Institute for Bioengineering, Brunel University, Uxbridge, Middlesex UB8 3PH, UK
  • Received:2011-01-14 Revised:2011-06-14 Online:2011-10-09 Published:2011-10-09

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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.

Abstract: 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.

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