34 citations · 226 across the 27 of their papers we have counts for
5 papers · 1 filter
Discrete and continuum models for the coevolutionary dynamics between CD8+ cytotoxic T lymphocytes and tumour cells
Luís Almeida, Chloe Audebert, Emma Leschiera +1
We present an individual-based model for the coevolutionary dynamics between CD8+ cytotoxic T lymphocytes (CTLs) and tumour cells. In this model, every cell is viewed as an individ…
Trade-offs between chemotaxis and proliferation shape the phenotypic structuring of invading waves
Tommaso Lorenzi, Kevin J Painter
Chemotaxis-driven invasions have been proposed across a broad spectrum of biological processes, from cancer to ecology. The influential system of equations introduced by Keller and…
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…
A mathematical model to study the impact of intra-tumour heterogeneity on anti-tumour CD8+ T cell immune response
Emma Leschiera, Tommaso Lorenzi, Shensi Shen +2
Intra-tumour heterogeneity (ITH) has a strong impact on the efficacy of the immune response against solid tumours. The number of sub-populations of cancer cells expressing differen…
Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes
Chiara Giverso, Tommaso Lorenzi, Luigi Preziosi
We consider a continuum mechanical model for the migration of multiple cell populations through parts of tissue separated by thin membranes. In this model, cells belonging to diffe…