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arXiv 1601.06310math.OC
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解决三级血管生成问题

Solving a problem of angiogenesis of degree three

Anastasios N. Zachos

摘要:

四度吸收加权Fermat-Torricelli树是四度加权Fermat-Torricelli树,它是从三度广义高斯树导出的极限树结构(加权全斯坦纳树)的相同边界凸四边形在R^2:通过使对应于四边形固定顶点的四个可变正权满足加权的动力塑性方程,四边形,我们得到了一族广义高斯树的极限树结构,这些极限树结构集中到同一个四次加权Fermat-Torricelli树(泛吸收Fermat-Torricelli树)。泛Fermat-Torricelli树的每个导出的四度加权Fermat-Torricelli树的剩余吸收率的值形成泛吸收集。通用吸收费马-托里切利集的最小值负责创建由边界三角形的加权费马-托里切利树导出的边界凸四边形的三度广义高斯树(三度血管生成)。从泛吸收集的每一个值包含一个三度广义高斯树的演化过程。

英文摘要:

An absorbing weighted Fermat-Torricelli tree of degree four is a weighted Fermat-Torricelli tree of degree four which is derived as a limiting tree structure from a generalized Gauss tree of degree three (weighted full Steiner tree) of the same boundary convex quadrilateral in R^2: By letting the four variable positive weights which correspond to the fixed vertices of the quadrilateral and satisfy the dynamic plasticity equations of the weighted quadrilateral, we obtain a family of limiting tree structures of generalized Gauss trees which concentrate to the same weighted Fermat-Torricelli tree of degree four (universal absorbing Fermat-Torricelli tree). The values of the residual absorbing rates for each derived weighted Fermat-Torricelli tree of degree four of the universal Fermat-Torricelli tree form a universal absorbing set. The minimum of the universal absorbing Fermat-Torricelli set is responsible for the creation of a generalized Gauss tree of degree three for a boundary convex quadrilateral derived by a weighted Fermat-Torricelli tree of a boundary triangle (Angiogenesis of degree three). Each value from the universal absorbing set contains an evolutionary process of a generalized Gauss tree of degree three.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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