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math.AP2026
A Single Equation Explains Go-or-Grow Dynamics in Cyclic Hypoxia
Gopinath Sadhu, Philip K Maini, Mohit Kumar Jolly
We propose a minimal mathematical framework to describe the go-or-grow dynamics of tumor cells comprising two phenotypically distinct populations. One population is migratory and u…
math.AP2024
Deformations of acid-mediated invasive tumors in a model with Allee effect
Paul Carter, Arjen Doelman, Peter van Heijster +4
We consider a Gatenby--Gawlinski-type model of invasive tumors in the presence of an Allee effect. We describe the construction of bistable one-dimensional traveling fronts using s…