n维糖酵解模型非常数稳态解的模式生成

魏美华; 常金勇; 祁兰; 张巧卫

doi:10.3879/j.issn.1000-0887.2014.08.011

n维糖酵解模型非常数稳态解的模式生成

doi: 10.3879/j.issn.1000-0887.2014.08.011

¹榆林学院数学与统计学院, 陕西榆林 719000;²中国科学院信息工程研究所, 北京 100093

基金项目: 国家自然科学基金(11271236); 陕西省教育厅科研计划资助项目(生化反应中糖酵解模型的动力学性质研究)

详细信息

作者简介:
魏美华(1981—),女,山西大同人,讲师,博士(通讯作者. E-mail: wei-meihua@163.com).

中图分类号: O175.26
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出版历程
- 收稿日期: 2014-02-26
- 修回日期: 2014-06-13
- 刊出日期: 2014-08-15

Pattern Formation of Nonconstant Steady-State Solutions to the n-Dimensional Glycolysis Model

¹School of Mathematics and Statistics,Yulin University, Yulin, Shaanxi 719000, P.R.China;²Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, P.R.China

Funds: The National Natural Science Foundation of China(11271236)

摘要

摘要: 研究了一类带Neumann边界条件的n维糖酵解模型.首先,以扩散系数d₁为分歧参数,运用局部分歧理论分析了该模型非常数稳态解的局部结构.其次,利用全局分歧理论和Leray-Schauder度理论讨论了非常数稳态解的全局存在性.最后,借助数值模拟证实了所得结论.分析结果表明n维糖酵解模型的空间模式可以生成.
- 糖酵解模型 /
- 稳态解 /
- 模式生成 /
- 全局分歧
Abstract: A glycolysis model under the Neumann boundary condition was investigated in the n-dimensional space. Based on the local bifurcation theory, the local structure of the nonconstant steady-state solution to the model was studied with diffusion coefficient d₁ as the bifurcation parameter. Then, according to the global bifurcation theory and the Leray-Schauder degree theory, global existence of the nonconstant steady-state solution was discussed. Moreover, the theoretical results were confirmed through numerical simulations. It is shown that the spatial pattern can form for the glycolysis model.
- glycolysis model /
- steady-state solution /
- pattern formation /
- global bifurcation

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参考文献(15)

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