仲恺农业工程学院学报
仲愷農業工程學院學報
중개농업공정학원학보
JOURNAL OF ZHONGKAI UNIVERSITY OF AGRICULTURE AND TECHNOLOGY
2014年
4期
57-60
,共4页
肿瘤生长%自由边界问题%整体解%存在性
腫瘤生長%自由邊界問題%整體解%存在性
종류생장%자유변계문제%정체해%존재성
tumor growth%free boundary problem%global solution%existence
研究一个描述肿瘤生长的自由边界问题，它来源于Helen-Byrne描述的体外模拟单层肿瘤细胞连续性生长的数学模型。该模型主要研究肿瘤生长过程中细胞间的相互作用（张力和斥力）引起的内部变化。作者运用椭圆型偏微分方程的逼近方法、Lp理论和Schauder不动点理论证明了这个问题整体解的存在性。
研究一箇描述腫瘤生長的自由邊界問題，它來源于Helen-Byrne描述的體外模擬單層腫瘤細胞連續性生長的數學模型。該模型主要研究腫瘤生長過程中細胞間的相互作用（張力和斥力）引起的內部變化。作者運用橢圓型偏微分方程的逼近方法、Lp理論和Schauder不動點理論證明瞭這箇問題整體解的存在性。
연구일개묘술종류생장적자유변계문제，타래원우Helen-Byrne묘술적체외모의단층종류세포련속성생장적수학모형。해모형주요연구종류생장과정중세포간적상호작용（장력화척력）인기적내부변화。작자운용타원형편미분방정적핍근방법、Lp이론화Schauder불동점이론증명료저개문제정체해적존재성。
A free boundary problem model of the growth of tumor which came from monolayer tumor cells model in vitro by Helen-Byrne was studied .With the model , internal change through cell-cell interactions was mainly studied using approximation method combined with Schauder fixed point theorem and the Lp-theory, it was proved that the problem had a global solution in any given time .
