On a curvature flow model for embryonic epidermal wound healing

Authors

Shuhui He, University of WollongongFollow
Glen Wheeler, University of WollongongFollow
V.-M Wheeler, University of WollongongFollow

RIS ID

139585

Publication Details

He, S., Wheeler, G. & Wheeler, V-M. (2019). On a curvature flow model for embryonic epidermal wound healing. Nonlinear Analysis Theory Methods and Applications, 189 111581-1-111581-41.

Abstract

The paper is a mathematical investigation of a curvature flow model for embryonic epidermal wound healing proposed by Ravasio et al. (2015). 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. One of the key new results we require is a maximal time estimate, which is also of independent interest.

Grant Number

ARC/DP150100375