22 citations · 22 across the 2 of their papers we have counts for
5 papers · 1 filter
Evolutionary dynamics in vascularised tumours under chemotherapy
Chiara Villa, Mark A. J. Chaplain, Tommaso Lorenzi
We consider a mathematical model for the evolutionary dynamics of tumour cells in vascularised tumours under chemotherapy. The model comprises a system of coupled partial integro-d…
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,…
Modelling the emergence of phenotypic heterogeneity in vascularised tumours
Chiara Villa, Mark A. J. Chaplain, Tommaso Lorenzi
We present a mathematical study of the emergence of phenotypic heterogeneity in vascularised tumours. Our study is based on formal asymptotic analysis and numerical simulations of…
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…
Derivation and application of effective interface conditions for continuum mechanical models of cell invasion through thin membranes
Mark A. J. Chaplain, Chiara Giverso, Tommaso Lorenzi +1
We consider a continuum mechanical model of cell invasion through thin membranes. The model consists of a transmission problem for cell volume fraction complemented with continuity…