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arXiv 1802.03902math.DG
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胚胎表皮伤口愈合的曲率流模型

On a curvature flow model for embryonic epidermal wound healing

Shuhui He, Glen Wheeler, Valentina-Mira Wheeler

摘要:

本文研究了与伤口闭合的物理现象有关的曲率流。根据流动,我们表明,一个封闭的,最初凸或接近凸曲线收缩到一个圆点在有限的时间。我们还研究了奇异性,表明连续重新缩放后的奇异性轮廓是一个圆。我们还给出了一个最大的时间估计,与应用程序的分类爆破。

英文摘要:

The paper studies a curvature flow linked to the physical phenomenon of wound closure. Under the flow we show that a closed, initially convex or close-to-convex curve shrinks to a round point in finite time. We also study the singularity, showing that the singularity profile after continuous rescaling is that of a circle. We additionally give a maximal time estimate, with an application to the classification of blowups.

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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