56 citations · 172 across the 13 of their papers we have counts for
14 papers
Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation
Zuzanna Szymańska, Mirosław Lachowicz, Nikolaos Sfakianakis +1
The transition from the epithelial to mesenchymal phenotype and its reverse (from mesenchymal to epithelial) are crucial processes necessary for the progression and spread of cance…
Mechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations
Chiara Villa, Mark A. J. Chaplain, Alf Gerisch +1
Mechanochemical models of pattern formation in biological tissues have been used to study a variety of biomedical systems and describe the physical interactions between cells and t…
A hybrid discrete-continuum approach to model Turing pattern formation
Fiona R Macfarlane, Mark AJ Chaplain, Tommaso Lorenzi
Since its introduction in 1952, Turing's (pre-)pattern theory ("the chemical basis of morphogenesis") has been widely applied to a number of areas in developmental biology. The rel…
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…