Implementing measurement error models with mechanistic mathematical models in a likelihood-based framework for estimation, identifiability analysis and prediction …
RJ Murphy, OJ Maclaren… - Journal of the Royal …, 2024 - royalsocietypublishing.org
Throughout the life sciences, we routinely seek to interpret measurements and observations
using parametrized mechanistic mathematical models. A fundamental and often overlooked …
using parametrized mechanistic mathematical models. A fundamental and often overlooked …
Profile-wise analysis: a profile likelihood-based workflow for identifiability analysis, estimation, and prediction with mechanistic mathematical models
MJ Simpson, OJ Maclaren - PLoS Computational Biology, 2023 - journals.plos.org
Interpreting data using mechanistic mathematical models provides a foundation for
discovery and decision-making in all areas of science and engineering. Developing …
discovery and decision-making in all areas of science and engineering. Developing …
Pushing coarse-grained models beyond the continuum limit using equation learning
DJ VandenHeuvel, PR Buenzli… - Proceedings of the …, 2024 - royalsocietypublishing.org
Mathematical modelling of biological population dynamics often involves proposing high-
fidelity discrete agent-based models that capture stochasticity and individual-level …
fidelity discrete agent-based models that capture stochasticity and individual-level …
Implementing measurement error models in a likelihood-based framework for estimation, identifiability analysis, and prediction in the life sciences
Throughout the life sciences we routinely seek to interpret measurements and observations
using parameterised mechanistic mathematical models. A fundamental and often …
using parameterised mechanistic mathematical models. A fundamental and often …
Optimal design of large-scale nonlinear Bayesian inverse problems under model uncertainty
We consider optimal experimental design (OED) for Bayesian nonlinear inverse problems
governed by partial differential equations (PDEs) under model uncertainty. Specifically, we …
governed by partial differential equations (PDEs) under model uncertainty. Specifically, we …
Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics
MJ Simpson, SA Walker, EN Studerus… - Mathematical …, 2023 - Elsevier
Calibrating mathematical models to describe ecological data provides important insight via
parameter estimation that is not possible from analysing data alone. When we undertake a …
parameter estimation that is not possible from analysing data alone. When we undertake a …
Individual-based and continuum models of phenotypically heterogeneous growing cell populations
Existing studies comparing individual-based models of growing cell populations and their
continuum counterparts have mainly focused on homogeneous populations, in which all …
continuum counterparts have mainly focused on homogeneous populations, in which all …
Generalised likelihood profiles for models with intractable likelihoods
Likelihood profiling is an efficient and powerful frequentist approach for parameter
estimation, uncertainty quantification and practical identifiablity analysis. Unfortunately …
estimation, uncertainty quantification and practical identifiablity analysis. Unfortunately …
A profile likelihood-based workflow for identifiability analysis, estimation, and prediction with mechanistic mathematical models
MJ Simpson, OJ Maclaren - bioRxiv, 2022 - biorxiv.org
Interpreting data using mechanistic mathematical models provides a foundation for
discovery and decision-making in all areas of science and engineering. Key steps in using …
discovery and decision-making in all areas of science and engineering. Key steps in using …
Forecasting and predicting stochastic agent-based models of cell migration with biologically-informed neural networks
JT Nardini - arXiv preprint arXiv:2311.04709, 2023 - arxiv.org
Collective migration, or the coordinated movement of many individuals, is an important
component of many biological processes, including wound healing, tumorigenesis, and …
component of many biological processes, including wound healing, tumorigenesis, and …