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arXiv · 1802.03902

On a curvature flow model for embryonic epidermal wound healing

Shuhui He·Glen Wheeler·Valentina-Mira Wheeler
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Abstract

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.

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Shuhui He, Glen Wheeler, Valentina-Mira Wheeler. 2018-02-12. On a curvature flow model for embryonic epidermal wound healing. https://arxiv.org/abs/1802.03902

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