7 papers
Adaptive therapy under parametric, structural, and measurement uncertainty
Alexander P Browning, Rebecca M Crossley, Ryan J Murphy +2
Adaptive therapy has emerged as a promising treatment strategy that exploits within-tumour competition to delay disease progression. Implementation, however, typically relies on in…
Physics-Informed Neural Networks for Biological Reaction-Diffusion Systems
William Lavery, Jodie A. Cochrane, Christian Olesen +3
Physics-informed neural networks (PINNs) provide a powerful framework for learning governing equations of dynamical systems from data. Biologically-informed neural networks (BINNs)…
A practical introduction to ODE modelling in Stan for biological systems
Sara Hamis, John Forslund, Cici Chen Gu +1
Integrating dynamical systems models with time series data is a central part of contemporary mathematical biology. With the rich variety of available models and data, numerous meth…
A nonparametric approach to practical identifiability of nonlinear mixed effects models
Tyler Cassidy, Stuart T. Johnston, Michael Plank +4
Mathematical modelling is a widely used approach to understand and interpret clinical trial data. This modelling typically involves fitting mechanistic mathematical models to data…
A bibliometric study on mathematical oncology: interdisciplinarity, internationality, collaboration and trending topics
Kira Pugh, Linnéa Gyllingberg, Stanislav Stratiev +1
Mathematical oncology is an interdisciplinary research field where the mathematical sciences meet cancer research. Being situated at the intersection of these two fields makes math…
Phenotypic heterogeneity in temporally fluctuating environments
Alexander P Browning, Sara Hamis
Many biological systems regulate phenotypic heterogeneity as a fitness-maximising strategy in uncertain and dynamic environments. Analysis of such strategies is typically confined…