Ben Whale — Neckpinchhttps://neckpinch.com/authors/ben-whale/New arXiv papers by Ben Whale, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT A curvature flow approach to dorsal closure modellinghttps://neckpinch.com/papers/2507.12088/arxiv:2507.12088Wed, 16 Jul 2025 00:00:00 GMTShuhui He, Ben Whale, Glen Wheeler, Valentina-Mira Wheeler — 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.Other curvature flowsStability & uniquenessLong-time existence & convergenceNumerics & visualization