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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

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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

 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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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.

2010 MSC Number: 

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