Numerical simulation of solid tumor angiogenesis with Endostatin treatment: a combined analysis of inhibiting effect of anti-angiogenic factor and micro mechanical environment of extracellular matrix

  • Yan Cai (蔡彦)
  • Jie Wu (吴洁)
  • Kalkabay Gulnar (古娜)
  • Hong-yi Zhang (张洪一)
  • Jin-feng Cao (曹金凤)
  • Shi-xiong Xu (许世雄)Email author
  • Quan Long (龙泉)
  • M. W. Collins (柯林斯)


To investigate the influence of anti-angiogenesis drug Endostatin on solid tumor angiogenesis, a mathematical model of tumor angiogenesis was developed with combined influences of local extra-cellular matrix mechanical environment, and the inhibiting effects of Angiostatin and Endostatin. Simulation results show that Angiostatin and Endostatin can effectively inhibit the process of tumor angiogenesis, and decrease the number of blood vessels in the tumor. The present model could be used as a valid theoretical method in the investigation of anti-angiogenic therapy of tumors.

Key words

tumor angiogenesis anti-angiogenesis mechanical environment mathematical model 

Chinese Library Classification

R318.01 TB115 

2000 Mathematics Subject Classification

92C10 92C15 


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Copyright information

© Shanghai University and Springer Berlin Heidelberg 2009

Authors and Affiliations

  • Yan Cai (蔡彦)
    • 1
  • Jie Wu (吴洁)
    • 1
  • Kalkabay Gulnar (古娜)
    • 1
  • Hong-yi Zhang (张洪一)
    • 1
  • Jin-feng Cao (曹金凤)
    • 1
  • Shi-xiong Xu (许世雄)
    • 1
    Email author
  • Quan Long (龙泉)
    • 2
  • M. W. Collins (柯林斯)
    • 2
  1. 1.Department of Mechanics and Engineering ScienceFudan UniversityShanghaiP. R. China
  2. 2.Brunel Institute for BioengineeringBrunel UniversityUxbridgeUK

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