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arXiv 1903.04537math.AP
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论癌细胞扩散在肿瘤生长悖论中的作用

On the role of cancer cells' diffusion in the tumor growth paradox

Isai Padilla, Ramón G. Plaza

摘要:

在这篇文章中,综述了由Hillen等人(Bull.Math.Biol.75,2013,no.1,161-184)提出的用于解释肿瘤生长悖论(或一些不完全的癌症治疗可能增强肿瘤生长的观察结果)的非局部、积分-偏微分方程组。结果表明,当考虑癌细胞的扩散效应和Neumann边界条件时,同样出现了反常的肿瘤生长。

英文摘要:

In this contribution, the non-local, integro-partial differential system of equations proposed by Hillen et al. (Bull. Math. Biol. 75, 2013, no.1, 161-184) to account for the the tumor growth paradox (or the observation that some incomplete cancer treatments may enhance tumor growth) is reviewed. It is shown that when cancer cells' diffusion effects and Neumann boundary conditions are taken into consideration, the same paradoxical tumor growth emerges.

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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