3 papers
math.AP2025
A curvature flow approach to dorsal closure modelling
Shuhui He, Ben Whale, Glen Wheeler +1
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-esti…
math.OC2025
Bushfires and Balance: Proactive versus Reactive Policies in Prescribed Burning
Serena Dipierro, Enrico Valdinoci, Glen Wheeler +1
We introduce a new mathematical model to explore the dynamic relationship between prescribed burning and bushfire occurrence, formulated as a system of ordinary differential equati…
math.AP2024
Curve shortening flow with an ambient force field
Sam Cuthbertson, Glen Wheeler, Valentina-Mira Wheeler
In this paper we consider the anisotropic curve shortening flow in the plane in the presence of an ambient force. We consider force fields in which all their derivatives are bounde…