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

doi:10.1007/s10483-009-1004-z

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (10): 1247-1254.doi: https://doi.org/10.1007/s10483-009-1004-z

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

蔡彦¹ 吴洁¹ 古娜¹ 张洪一¹ 曹金凤¹ 许世雄¹ 龙泉²柯林斯²

1. Department of Mechanics and Engineering Science, Fudan University,Shanghai 200433, P. R. China;
2. Brunel Institute for Bioengineering, Brunel University, Uxbridge, Middlesex, UK

收稿日期:2009-01-16 修回日期:2009-08-19 出版日期:2009-10-01 发布日期:2009-10-01

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

CAI Yan¹, WU Jie¹, Kalkabay GULNAR¹, ZHANG Hong-Yi¹, CAO Jin-Feng¹, XU Shi-Xiong¹, LONG Quan², COLLINS M. W. ²

1. Department of Mechanics and Engineering Science, Fudan University,Shanghai 200433, P. R. China;
2. Brunel Institute for Bioengineering, Brunel University, Uxbridge, Middlesex, UK

Received:2009-01-16 Revised:2009-08-19 Online:2009-10-01 Published:2009-10-01

摘要/Abstract

摘要： 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.

关键词: tumor angiogenesis, anti-angiogenesis, mechanical environment, mathematical model

Abstract: 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

中图分类号:

92C10
92C15

蔡彦吴洁古娜张洪一曹金凤许世雄龙泉柯林斯. 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[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(10): 1247-1254.

CAI Yan;WU Jie;Kalkabay GULNAR;ZHANG Hong-Yi;CAO Jin-Feng;XU Shi-Xiong;LONG Quan;COLLINS M. W. . 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[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(10): 1247-1254.

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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

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

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