广东工业大学学报 ›› 2019, Vol. 36 ›› Issue (05): 38-42.doi: 10.12052/gdutxb.180177

• 综合研究 • 上一篇    下一篇

结肠癌细胞代谢模型解的存在性

梁小珍, 卫雪梅   

  1. 广东工业大学 应用数学学院, 广东 广州 510520
  • 收稿日期:2018-12-24 出版日期:2019-08-21 发布日期:2019-08-06
  • 通信作者: 卫雪梅(1972-),女,教授,主要研究方向为偏微分方程.E-mail:wxm_gdut@163.com E-mail:wxm_gdut@163.com
  • 作者简介:梁小珍(1992-),女,硕士研究生,主要研究方向为偏微分方程.
  • 基金资助:
    国家自然科学基金资助项目（11101095）；广东省高校特色创新类项目（2016KTSCX028）；广东省高层次人才项目（2014011）；研究生教育创新项目（2014QTLXXM17）

Existence of the Solution to the Metabolic Model of Colon Cancer Cells

Liang Xiao-zhen, Wei Xue-mei   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2018-12-24 Online:2019-08-21 Published:2019-08-06

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摘要： 研究了结肠癌细胞代谢数学模型.该模型由包含不连续项的5个相互耦合的反应扩散方程组成.本文运用抛物型方程的Lp理论和Schauder不动点定理以及逼近方法证明了该数学模型整体解的存在性.

关键词: 结肠癌, 整体解, 存在性

Abstract: The metabolic model of colon cancer cells is studied. The model contains five coupled reaction diffusion equations, in which some equations involve discontinuous terms. It is proved that this problem has a global solution by using the Lp-theory for parabolic equations, the Schauder Fixed Point Theorem and approximation method.

Key words: colon cancer, global solution, existence

中图分类号: 

  • O175
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