103 citations · 118 across the 11 of their papers we have counts for
6 papers · 1 filter
Collective Invasion: When does domain curvature matter?
Joseph J. Pollacco, Ruth E. Baker, Philip K. Maini
Real-world cellular invasion processes often take place in curved geometries. Such problems are frequently simplified in models to neglect the curved geometry in favour of computat…
Reducing phenotype-structured PDE models of cancer evolution to systems of ODEs: a generalised moment dynamics approach
Chiara Villa, Philip K Maini, Alexander P Browning +3
Intratumour phenotypic heterogeneity is nowadays understood to play a critical role in disease progression and treatment failure. Accordingly, there has been increasing interest in…
A first passage model of intravitreal drug delivery and residence time, in relation to ocular geometry, individual variability, and injection location
Patricia Lamirande, Eamonn A. Gaffney, Michael Gertz +3
Purpose: Standard of care for various retinal diseases involves recurrent intravitreal injections. This motivates mathematical modelling efforts to identify influential factors for…
On the speed of propagation in Turing patterns for reaction-diffusion systems
Václav Klika, Eamonn A. Gaffney, Philip K. Maini
This study investigates transient wave dynamics in Turing pattern formation, focusing on waves emerging from localised disturbances. While the traditional focus of diffusion-driven…
First explore, then settle: a theoretical analysis of evolvability as a driver of adaptation
Juan Jiménez-Sánchez, Carmen Ortega-Sabater, Philip K. Maini +2
Evolvability is defined as the ability of a population to generate heritable variation to facilitate its adaptation to new environments or selection pressures. In this article, we…
Phenotypic switching mechanisms determine the structure of cell migration into extracellular matrix under the `go-or-grow' hypothesis
Rebecca M. Crossley, Kevin J. Painter, Tommaso Lorenzi +2
A fundamental feature of collective cell migration is phenotypic heterogeneity which, for example, influences tumour progression and relapse. While current mathematical models ofte…