Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (4): 437-448.doi: https://doi.org/10.1007/s10483-011-1428-7

• Articles • 上一篇    下一篇

Simulation of tumor microvasculature and microenvironment response to anti-angiogenic treatment by angiostatin and endostatin

吴洁1 丁祖荣1 蔡彦2 许世雄2 赵改平3 龙泉4   

  1. 1. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, P. R. China;
    2. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P. R. China;
    3. School of Medical Instrument and Food Engineering, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China;
    4. Brunel Institute for Bioengineering, Brunel University, Uxbridge, Middlesex, UK
  • 收稿日期:2010-05-07 修回日期:2011-02-23 出版日期:2011-03-29 发布日期:2011-04-01

Simulation of tumor microvasculature and microenvironment response to anti-angiogenic treatment by angiostatin and endostatin

WU Jie1, DING Zhu-Rong1, CAI Yan2, XU Shi-Xiong2, ZHAO Gai-Ping3, LONG Quan4   

  1. 1. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, P. R. China;
    2. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P. R. China;
    3. School of Medical Instrument and Food Engineering, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China;
    4. Brunel Institute for Bioengineering, Brunel University, Uxbridge, Middlesex, UK
  • Received:2010-05-07 Revised:2011-02-23 Online:2011-03-29 Published:2011-04-01

摘要: The effects of anti-angiogenesis treatment by angiostatin and endostatin on normalization of tumor microvasculature and microenvironment are investigated, based on mathematical modeling and numerical simulation of tumor anti-angiogenesis and tumor haemodynamics. The results show that after anti-angiogenesis treatment: (i) the proliferation, growth, and branching of neo-vessels are effectively inhibited, and the extent of vascularization in tumors is accordingly reduced. (ii) the overall blood perfusion inside of tumor is declined, the plateau of tumor interstitial fluid pressure (IFP) is relieved, the interstitial fluid oozing out from the tumor periphery into the surrounding normal tissue is reduced, the reduction of overall extravasation across vasculature to tumor interstium is much less than the decreased overall blood perfusion, due to the decline of IFP, the intravasations is remarkablely effected by the change, in some cases there are no intravasation flow appear.

Abstract: The effects of anti-angiogenesis treatment by angiostatin and endostatin on normalization of tumor microvasculature and microenvironment are investigated, based on mathematical modeling and numerical simulation of tumor anti-angiogenesis and tumor haemodynamics. The results show that after anti-angiogenesis treatment: (i) the proliferation, growth, and branching of neo-vessels are effectively inhibited, and the extent of vascularization in tumors is accordingly reduced. (ii) the overall blood perfusion inside of tumor is declined, the plateau of tumor interstitial fluid pressure (IFP) is relieved, the interstitial fluid oozing out from the tumor periphery into the surrounding normal tissue is reduced, the reduction of overall extravasation across vasculature to tumor interstium is much less than the decreased overall blood perfusion, due to the decline of IFP, the intravasations is remarkablely effected by the change, in some cases there are no intravasation flow appear.

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