3 papers
math.AP2022
A hybrid discrete-continuum modelling approach to explore the impact of T-cell infiltration on anti-tumour immune response
Luis Almeida, Chloe Audebert, Emma Leschiera +1
We present a spatial hybrid discrete-continuum modelling framework for the interaction dynamics between tumour cells and cytotoxic T cells, which play a pivotal role in the immune…
math.DS2021
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…
nlin.PS2020
Treatment-induced shrinking of tumour aggregates: A nonlinear volume-filling chemotactic approach
Luis Almeida, Gissell Estrada-Rodriguez, Lisa Oliver +3
Motivated by experimental observations in 3D/organoid cultures derived from glioblastoma, we develop a mathematical model where tumour aggregate formation is obtained as the result…