12 citations · 22 across the 10 of their papers we have counts for
10 papers
Deformations of acid-mediated invasive tumors in a model with Allee effect
Paul Carter, Arjen Doelman, Peter van Heijster +4
We consider a Gatenby--Gawlinski-type model of invasive tumors in the presence of an Allee effect. We describe the construction of bistable one-dimensional traveling fronts using s…
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…
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…
Homogenisation of nonlinear blood flow in periodic networks: the limit of small haematocrit heterogeneity
Y. Ben-Ami, B. D. Wood, J. M. Pitt-Francis +2
In this work we develop a homogenisation methodology to upscale mathematical descriptions of microcirculatory blood flow from the microscale (where individual vessels are resolved)…
Soliton approximation in continuum models of leader-follower behavior
F. Terragni, W. D. Martinson, M. Carretero +2
Complex biological processes involve collective behavior of entities (bacteria, cells, animals) over many length and time scales and can be described by discrete models that track…
Parameter identifiability and model selection for partial differential equation models of cell invasion
Yue Liu, Kevin Suh, Philip K. Maini +2
When employing mechanistic models to study biological phenomena, practical parameter identifiability is important for making accurate predictions across wide range of unseen scenar…