Identifiability analysis for stochastic differential equation models in systems biology

AP Browning, DJ Warne, K Burrage… - Journal of the …, 2020 - royalsocietypublishing.org
Mathematical models are routinely calibrated to experimental data, with goals ranging from
building predictive models to quantifying parameters that cannot be measured. Whether or …

Julia for biologists

E Roesch, JG Greener, AL MacLean, H Nassar… - Nature …, 2023 - nature.com
Major computational challenges exist in relation to the collection, curation, processing and
analysis of large genomic and imaging datasets, as well as the simulation of larger and …

Practical parameter identifiability for spatio-temporal models of cell invasion

MJ Simpson, RE Baker… - Journal of the …, 2020 - royalsocietypublishing.org
We examine the practical identifiability of parameters in a spatio-temporal reaction–diffusion
model of a scratch assay. Experimental data involve fluorescent cell cycle labels, providing …

Effects of cell cycle variability on lineage and population measurements of messenger RNA abundance

R Perez-Carrasco, C Beentjes… - Journal of the Royal …, 2020 - royalsocietypublishing.org
Many models of gene expression do not explicitly incorporate a cell cycle description. Here,
we derive a theory describing how messenger RNA (mRNA) fluctuations for constitutive and …

Using experimental data and information criteria to guide model selection for reaction–diffusion problems in mathematical biology

DJ Warne, RE Baker, MJ Simpson - Bulletin of Mathematical Biology, 2019 - Springer
Reaction–diffusion models describing the movement, reproduction and death of individuals
within a population are key mathematical modelling tools with widespread applications in …

Calibration of agent based models for monophasic and biphasic tumour growth using approximate Bayesian computation

X Wang, AL Jenner, R Salomone, DJ Warne… - Journal of Mathematical …, 2024 - Springer
Agent-based models (ABMs) are readily used to capture the stochasticity in tumour
evolution; however, these models are often challenging to validate with experimental …

Multifidelity multilevel Monte Carlo to accelerate approximate Bayesian parameter inference for partially observed stochastic processes

DJ Warne, TP Prescott, RE Baker… - Journal of Computational …, 2022 - Elsevier
Abstract Models of stochastic processes are widely used in almost all fields of science.
Theory validation, parameter estimation, and prediction all require model calibration and …

Hindsight is 2020 vision: a characterisation of the global response to the COVID-19 pandemic

DJ Warne, A Ebert, C Drovandi, W Hu, A Mira… - BMC public health, 2020 - Springer
Background The global impact of COVID-19 and the country-specific responses to the
pandemic provide an unparalleled opportunity to learn about different patterns of the …

Efficient and exact sampling of transition path ensembles on Markovian networks

DJ Sharpe, DJ Wales - The Journal of Chemical Physics, 2020 - pubs.aip.org
The problem of flickering trajectories in standard kinetic Monte Carlo (kMC) simulations
prohibits sampling of the transition path ensembles (TPEs) on Markovian networks …

Parameter estimation and uncertainty quantification using information geometry

JA Sharp, AP Browning, K Burrage… - Journal of the Royal …, 2022 - royalsocietypublishing.org
In this work, we:(i) review likelihood-based inference for parameter estimation and the
construction of confidence regions; and (ii) explore the use of techniques from information …