18 citations · 51 across the 10 of their papers we have counts for
10 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…
Structural identifiability analysis of linear reaction-advection-diffusion processes in mathematical biology
Alexander P Browning, Maria Tască, Carles Falcó +1
Effective application of mathematical models to interpret biological data and make accurate predictions often requires that model parameters are identifiable. Approaches to assess…
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…
Geometric analysis enables biological insight from complex non-identifiable models using simple surrogates
Alexander P Browning, Matthew J Simpson
An enduring challenge in computational biology is to balance data quality and quantity with model complexity. Tools such as identifiability analysis and information criterion have…
Efficient inference and identifiability analysis for differential equation models with random parameters
Alexander P. Browning, Christopher Drovandi, Ian W. Turner +2
Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite this, it is common for mathematical and statistical analyses to ignore biological heteroge…
Population Calibration using Likelihood-Free Bayesian Inference
Christopher Drovandi, Brodie Lawson, Adrianne L Jenner +1
In this paper we develop a likelihood-free approach for population calibration, which involves finding distributions of model parameters when fed through the model produces a set o…
Predicting radiotherapy patient outcomes with real-time clinical data using mathematical modelling
Alexander P. Browning, Thomas D. Lewin, Ruth E. Baker +5
Longitudinal tumour volume data from head-and-neck cancer patients show that tumours of comparable pre-treatment size and stage may respond very differently to the same radiotherap…
Parameter estimation and uncertainty quantification using information geometry
Jesse A Sharp, Alexander P Browning, Kevin Burrage +1
In this work we: (1) review likelihood-based inference for parameter estimation and the construction of confidence regions; and, (2) explore the use of techniques from information…
Profile likelihood analysis for a stochastic model of diffusion in heterogeneous media
Matthew J Simpson, Alexander P Browning, Christopher Drovandi +3
We compute profile likelihoods for a stochastic model of diffusive transport motivated by experimental observations of heat conduction in layered skin tissues. This process is mode…
Reversible signal transmission in an active mechanical metamaterial
Alexander P Browning, Francis G Woodhouse, Matthew J Simpson
Mechanical metamaterials are designed to enable unique functionalities, but are typically limited by an initial energy state and require an independent energy input to function rep…