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二维离散数学模型模拟肿瘤内外血管生成

赵改平 陈二云 吴洁 许世雄 M·W·克林斯 龙泉

赵改平, 陈二云, 吴洁, 许世雄, M·W·克林斯, 龙泉. 二维离散数学模型模拟肿瘤内外血管生成[J]. 应用数学和力学, 2009, 30(4): 425-431.
引用本文: 赵改平, 陈二云, 吴洁, 许世雄, M·W·克林斯, 龙泉. 二维离散数学模型模拟肿瘤内外血管生成[J]. 应用数学和力学, 2009, 30(4): 425-431.
ZHAO Gai-ping, CHEN Er-yun, WU Jie, XU Shi-xiong, M. W. Collins, LONG Quan. Two-Dimensional Discrete Mathematical Model of Tumor-Induced Angiogenesis[J]. Applied Mathematics and Mechanics, 2009, 30(4): 425-431.
Citation: ZHAO Gai-ping, CHEN Er-yun, WU Jie, XU Shi-xiong, M. W. Collins, LONG Quan. Two-Dimensional Discrete Mathematical Model of Tumor-Induced Angiogenesis[J]. Applied Mathematics and Mechanics, 2009, 30(4): 425-431.

二维离散数学模型模拟肿瘤内外血管生成

基金项目: 国家自然科学基金资助项目(10772051);上海高校选拔培养优秀青年教师科研专项基金资助项目(571215);博士科研启动费基金资助项目(10D214)
详细信息
    作者简介:

    赵改平(1975- ),女,内蒙包头人,博士(联系人.Tel:+86-21-55271115;E-mail:zgp_06@yahoo.com.cn).

  • 中图分类号: R318.01;TB115

Two-Dimensional Discrete Mathematical Model of Tumor-Induced Angiogenesis

  • 摘要: 建立九点差分格式的二维离散数学模型,模拟肿瘤内外的血管生成.模型扩展了内皮细胞沿9个方向运动,考虑存在两根母血管的情况下,耦合内皮细胞在肿瘤内外不同力学环境下的随机、趋化和趋触性运动,数值生成了肿瘤内外异构的血管网.结果表明,该模型可以产生相对真实的具有接近肿瘤病理生理特性的血管网,可为临床研究提供有益的信息A·D2
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出版历程
  • 收稿日期:  2008-08-01
  • 修回日期:  2009-02-13
  • 刊出日期:  2009-04-15

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