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arXiv · 2507.12088

A curvature flow approach to dorsal closure modelling

Shuhui He·Ben Whale·Glen Wheeler·Valentina-Mira Wheeler
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Abstract

In this paper we propose and study a curvature-based mathematical model for dorsal closure in embryonic drosophila. Using an analysis that mixes maximum-principle and integral-estimates, we establish global existence and convergence for data that mimics the initial geometry of a dorsal closure event. Further, we present a numerical approximation scheme for the flow, establishing stability, consistence, and convergence. We also give sample simulations of the flow with initial configurations that include experimentally observed data.

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Shuhui He, Ben Whale, Glen Wheeler, Valentina-Mira Wheeler. 2025-07-16. A curvature flow approach to dorsal closure modelling. https://arxiv.org/abs/2507.12088

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