103 citations · 118 across the 11 of their papers we have counts for
11 papers
Optimal experiment design for practical parameter identifiability and model discrimination
Yue Liu, Philip K. Maini, Ruth E. Baker
Mechanistic mathematical models of biological systems usually contain a number of unknown parameters whose values need to be estimated from available experimental data in order for…
Chase-and-Run and Chirality in Nonlocal Models of Pattern Formation
Thomas Jun Jewell, Andrew L. Krause, Philip K. Maini +1
Chase-and-run dynamics, in which one population pursues another that flees from it, are found throughout nature, from predator-prey interactions in ecosystems to the collective mot…
A new local time-decoupled squared Wasserstein-2 method for training stochastic neural networks to reconstruct uncertain parameters in dynamical systems
Mingtao Xia, Qijing Shen, Philip Maini +2
In this work, we propose and analyze a new local time-decoupled squared Wasserstein-2 method for reconstructing the distribution of unknown parameters in dynamical systems. Specifi…
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…