Numerical Simulation of the Inhibiting Effects on Solid Tumour Cells in Anti-Angiogenic Therapy: an Application of Coupled Mathematical Model of Angiogenesis With Tumour Growth

CAI Yan; WU Jie; XU Shi-xiong; LONG Quan; YAO Wei

doi:10.3879/j.issn.1000-0887.2011.10.006

Volume 32 Issue 10

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CAI Yan, WU Jie, XU Shi-xiong, LONG Quan, YAO Wei. Numerical Simulation of the Inhibiting Effects on Solid Tumour Cells in Anti-Angiogenic Therapy: an Application of Coupled Mathematical Model of Angiogenesis With Tumour Growth[J]. Applied Mathematics and Mechanics, 2011, 32(10): 1199-1207. doi: 10.3879/j.issn.1000-0887.2011.10.006

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Numerical Simulation of the Inhibiting Effects on Solid Tumour Cells in Anti-Angiogenic Therapy: an Application of Coupled Mathematical Model of Angiogenesis With Tumour Growth

doi: 10.3879/j.issn.1000-0887.2011.10.006

1.
Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P. R. China;
School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, P. R. China;
Brunel Institute for Bioengineering, Brunel University, Uxbridge, Middlesex, UK

Received Date: 2011-01-14
Rev Recd Date: 2011-06-14
Publish Date: 2011-10-15

Abstract

Abstract

To investigate the inhibiting effects of anti-angiogenic factor angiostatin and anti-angiogenic drug endostatin on tumour angio genesis and tumour cells,a coupled mathematical model of tumor angiogenesis with tumour growth and blood perfusion was developed.The simulation results showed that angiostatin and endostatin could improve the abnormal microenvironment inside the tumour tissue,by effectively inhibiting the process of tumor angiogenesis and decreasing the number of tumour cells.The present model can be used as a valid theoretical method in the investigation of tumour anti-angiogenic therapy.
- tumor angiogenesis,
- tumor growth,
- anti-angiogenic therapy,
- coupled mathematical model

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References(20)

References

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