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math.AP2021★ 20 cited
Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion
Chloé Colson, Faustino Sánchez-Garduño, Helen M. Byrne +2
In this paper, we carry out a travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion. We consider two types of invasive fronts of tumour…
math.AP2020
Asymptotic Analysis of a Two-Phase Model of Solid Tumour Growth
Andrea Genovese de Oliveira, John R. King
We investigate avascular tumour growth as a two-phase process consisting of cells and liquid. Based on the one-dimensional continuum moving-boundary model formulated by (Byrne, Kin…