| 一种圆形表皮伤口愈合模型整体解的存在唯一性 |
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| 引用本文： | 闫德宝. 一种圆形表皮伤口愈合模型整体解的存在唯一性[J]. 江南大学学报(自然科学版), 2012, 11(2): 248-252 |
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| 作者姓名： | 闫德宝 |
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| 作者单位： | 菏泽学院数学系,山东菏泽,274015 |
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| 基金项目： | 菏泽学院2011年科研项目 |
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| 摘 要： | 提出一种一般化了的圆形表皮伤口愈合数学模型。在该模型中,伤口愈合受到表皮细胞密度和化学物质浓度的共同影响。利用抛物型方程的理论和Banach不动点定理证明了该问题局部解的存在唯一性。在此基础上,利用延拓方法证明了整体解的存在唯一性.
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| 关 键 词： | 表皮伤口 愈合 数学模型 整体解 存在唯一 |
Existence and Uniqueness of Global Solutions of a Mathematical Model for the Healing of a Circular Epidermal Wound |
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| YAN De-bao. Existence and Uniqueness of Global Solutions of a Mathematical Model for the Healing of a Circular Epidermal Wound[J]. Journal of Southern Yangtze University:Natural Science Edition, 2012, 11(2): 248-252 |
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| Authors: | YAN De-bao |
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| Affiliation: | YAN De-bao(Department of Mathematics,Heze University,Heze 274015,China) |
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| Abstract: | In this paper,a generalized mathematical model for the healing of circular epidermal wounds is proposed based on other papers.The healing process in the model is regulated by epidermal cell density and chemical concentration.With the theory of parabolic equations and the Banach fixed point theorem the author proves the existence and uniqueness of a local solution,and then acquires the existence and uniqueness of the global solution by the continuation method. |
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| Keywords: | epidermal wound healing mathematical model global solution existence and uniqueness |
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