32 citations · 92 across the 10 of their papers we have counts for
4 papers · 1 filter
From a discrete model of chemotaxis with volume-filling to a generalised Patlak-Keller-Segel model
Federica Bubba, Tommaso Lorenzi, Fiona R Macfarlane
We present a discrete model of chemotaxis whereby cells responding to a chemoattractant are seen as individual agents whose movement is described through a set of rules that result…
Discrete and continuum models for the evolutionary and spatial dynamics of cancer: a very short introduction through two case studies
Tommaso Lorenzi, Fiona R. Macfarlane, Chiara Villa
We give a very short introduction to discrete and continuum models for the evolutionary and spatial dynamics of cancer through two case studies: a model for the evolutionary dynami…
Quantitative predictive modelling approaches to understanding rheumatoid arthritis: A brief review
Fiona R Macfarlane, Mark AJ Chaplain, Raluca Eftimie
Rheumatoid arthritis is a chronic autoimmune disease that is a major public health challenge. The disease is characterised by inflammation of synovial joints and cartilage erosion,…
A stochastic individual-based model to explore the role of spatial interactions and antigen recognition in the immune response against solid tumours
Fiona R Macfarlane, Mark AJ Chaplain, Tommaso Lorenzi
Spatial interactions between cancer and immune cells, as well as the recognition of tumour antigens by cells of the immune system, play a key role in the immune response against so…