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math.AP2023
An integrative phenotype-structured partial differential equation model for the population dynamics of epithelial-mesenchymal transition
Jules Guilberteau, Paras Jain, Mohit Kumar Jolly +2
Phenotypic heterogeneity along the epithelial-mesenchymal (E-M) axis contributes to cancer metastasis and drug resistance. Recent experimental efforts have collated detailed time-c…
math.AP2023
Long-time behaviour of an advection-selection equation
Jules Guilberteau, Camille Pouchol, Nastassia Pouradier Duteil
We study the long-time behaviour of the advection-selection equation $$\partial_tn(t,x)+\nabla \cdot \left(f(x)n(t,x)\right)=\left(r(x)-ρ(t)\right)n(t,x),\quad ρ(t)=\int_{\mathbb{R…