184 citations · 866 across the 44 of their papers we have counts for
46 papers
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…
Using a probabilistic approach to derive a two-phase model of flow-induced cell migration
Yaron Ben-Ami, Joe M. Pitt-Francis, Philip K. Maini +1
Interstitial fluid flow is a feature of many solid tumours. In vitro Experiments have shown that such fluid flow can direct tumour cell movement upstream or downstream depending on…
Patterning of nonlocal transport models in biology: the impact of spatial dimension
Thomas Jun Jewell, Andrew L. Krause, Philip K. Maini +1
Throughout developmental biology and ecology, transport can be driven by nonlocal interactions. Examples include cells that migrate based on contact with pseudopodia extended from…
Smoothing in linear multicompartment biological processes subject to stochastic input
Alexander P Browning, Adrianne L Jenner, Ruth E Baker +1
Many physical and biological systems rely on the progression of material through multiple independent stages. In viral replication, for example, virions enter a cell to undergo a c…
Investigating the influence of growth arrest mechanisms on tumour responses to radiotherapy
Chloé Colson, Philip K. Maini, Helen M. Byrne
Cancer is a heterogeneous disease and tumours of the same type can differ greatly at the genetic and phenotypic levels. Understanding how these differences impact sensitivity to tr…
Travelling waves in a coarse-grained model of volume-filling cell invasion: Simulations and comparisons
Rebecca M. Crossley, Philip K. Maini, Tommaso Lorenzi +1
Many reaction-diffusion models produce travelling wave solutions that can be interpreted as waves of invasion in biological scenarios such as wound healing or tumour growth. These…