5 papers
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…
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…
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…
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 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…