| 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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| 引用本文： | 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]. 应用数学和力学(英文版), 2009, 30(10): 1247-1254. DOI: 10.1007/s10483-009-1004-z |
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| 作者姓名： | 蔡彦 吴洁 古娜 张洪一 曹金凤 许世雄 龙泉 柯林斯 |
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| 作者单位： | Yan CAI,Jie WU,Kalkabay GULNAR,Hong-yi ZHANG,Jin-feng CAO,Shi-xiong XU(Department of Mechanics and Engineering Science, Fudan University,Shanghai 200433, P. R. China);Quan LONG,M.W.COLLINS(Brunel Institute for Bioengineering, Brunel University, Uxbridge, Middlesex, UK) |
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| 基金项目： | 国家自然科学基金，上海市重点学科建设项目 |
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| 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.
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| 关 键 词： | 血管生成因子 细胞外基质 力学环境 抑制作用 血管内皮 抑制素 综合分析 数值模拟 |
| 收稿时间： | 2009-01-16 |
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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| Yan Cai,Jie Wu,Kalkabay Gulnar,Hong-yi Zhang,Jin-feng Cao,Shi-xiong Xu,Quan Long,M. W. Collins. 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. DOI: 10.1007/s10483-009-1004-z |
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| Authors: | Yan Cai Jie Wu Kalkabay Gulnar Hong-yi Zhang Jin-feng Cao Shi-xiong Xu Quan Long M. W. Collins |
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| Affiliation: | 1. Department of Mechanics and Engineering Science, Fudan University,Shanghai 200433, P. R. China
2. Brunel Institute for Bioengineering, Brunel University, Uxbridge, Middlesex, UK |
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| 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. |
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| Keywords: | tumor angiogenesis anti-angiogenesis mechanical environment mathe-matical model |
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