Alex Browning – Research Fellow in Applied Mathematics

Hi, I work on problems using
>>

Structural identifiability of linear-in-parameter parabolic PDEs through auxiliary elliptic operators

Highlighted , Identifiability , PDEs

Heterogeneity in temporally fluctuating environments

Heterogeneity , Highlighted , PDEs , SDEs

Identifiability of heterogeneous phenotype adaptation from low-cell-count experiments and a stochastic model

Heterogeneity , Highlighted , Identifiability , Individual Based Models , Inference , PDEs , SDEs

Structural identifiability analysis of linear reaction-advection-diffusion processes in mathematical biology

Highlighted , Identifiability , Inference

Predicting radiotherapy patient outcomes with real-time clinical data using mathematical modelling

Clinical , Heterogeneity , Inference

Smoothing in linear multicompartment biological processes subject to stochastic input

Heterogeneity , Highlighted , SDEs

Geometric analysis enables biological insight from complex non-identifiable models using simple surrogates

Highlighted , Identifiability , Inference

Efficient inference and identifiability analysis for differential equation models with random parameters

Heterogeneity , Highlighted , Identifiability , Inference

Population calibration using likelihood-free Bayesian inference

Heterogeneity , Inference

A stochastic mathematical model of 4D tumour spheroids with real-time fluorescent cell cycle labelling

Experimental , Individual Based Models

Identifying cell-to-cell variability in internalisation using flow cytometry

Heterogeneity , Highlighted , Inference

Rapid optical clearing for semi-high-throughput analysis of tumor spheroids

Parameter estimation and uncertainty quantification using information geometry

Designing and interpreting 4D tumour spheroid experiments

Experimental , Identifiability , Inference

Quantitative analysis of tumour spheroid structure

Experimental , Highlighted , Identifiability , Inference

Parameter identifiability and model selection for sigmoid population growth models

Identifiability , Inference

Persistence as an optimal hedging strategy

Heterogeneity , Highlighted , Optimal Control , SDEs

Model-based data analysis of tissue growth in thin 3D printed scaffolds

Highlighted , Identifiability , Metamaterials

Profile likelihood analysis for a stochastic model of diffusion in heterogeneous media

Identifiability , Inference

Identifiability analysis for stochastic differential equation models in systems biology

Identifiability , Inference , SDEs

Designing combination therapies using multiple optimal controls

Optimal Control

Identifying density-dependent interactions in collective cell behaviour

Individual Based Models , Inference

Reversible signal transmission in an active mechanical metamaterial

Optimal control of acute myeloid leukaemia

Optimal Control

A Bayesian sequential learning framework to parameterise continuum models of melanoma invasion into human skin

Three-dimensional experiments and individual based simulations show that cell proliferation drives melanoma nest formation in human skin tissue

Individual Based Models

Inferring parameters for a lattice-free model of cell migration and proliferation using experimental data

Individual Based Models , Inference

A Bayesian computational approach to explore the optimal duration of a cell proliferation assay

Individual Based Models , Inference