M. J. Simpson

How osteons form: A quantitative hypothesis-testing analysis of cortical pore filling and wall asymmetry

The paper quantitatively analyzes osteon morphology to test hypotheses about cortical bone remodeling mechanisms, finding age-related asymmetry and identifying key factors influencing wall thickness.

Formation and growth of co-culture tumour spheroids: new compartment-based mathematical models and experiments

This paper develops new compartment-based mathematical models and analyzes experimental data to better understand co-culture tumour spheroid formation and growth.

Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics

The paper compares two ecological models for coral reef regrowth using profile likelihood and prediction intervals to guide model selection.

Computationally efficient mechanism discovery for cell invasion with uncertainty quantification

The paper introduces a computationally efficient framework using Gaussian processes to discover mechanisms of cell invasion with uncertainty quantification, applied to a scratch assay experiment.

Growth and adaptation mechanisms of tumour spheroids with time-dependent oxygen availability

This study investigates how time-dependent oxygen availability affects tumour spheroid growth and identifies new adaptation mechanisms.

Reliable and efficient parameter estimation using approximate continuum limit descriptions of stochastic models

This paper develops a method to improve parameter estimation in stochastic models by combining continuum approximations with statistical discrepancy correction, showing better accuracy with minimal computational cost.

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

This paper develops a stochastic individual-based model of 4D tumour spheroids and validates it against experimental data from human melanoma cell line experiments.

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

The paper develops a mathematical model to quantify cell-to-cell variability in internalisation using flow cytometry data from human B-cell lymphoblastoid cells.

Designing and interpreting 4D tumour spheroid experiments

This study evaluates 4D tumour spheroid experiments by comparing designs and identifying reliable insights using mathematical modeling and statistical analysis.

Quantitative analysis of tumour spheroid structure

This study quantifies tumour spheroid structure, showing that limiting structure is independent of initial seeding density and spheroid size.

Modelling cell guidance and curvature control in evolving biological tissues

The paper develops a mathematical model to study how cell guidance and curvature control interact in evolving biological tissues, applying it to simulate bone remodelling and root hair growth.

Parameter identifiability and model selection for sigmoid population growth models

The paper assesses parameter identifiability and model selection for sigmoid growth models using coral regrowth data, finding logistic models are identifiable while Gompertz and Richards models are not.

Estimating parameters of a stochastic cell invasion model with fluorescent cell cycle labelling using Approximate Bayesian Computation

This paper develops an ABC-based method to estimate parameters of a stochastic cell invasion model using fluorescent cell cycle labeling, showing improved parameter identifiability with trajectory data.

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

The paper analyzes tissue growth in 3D printed scaffolds using a mathematical model to quantify cell proliferation and migration, identifying two growth stages and model limitations.

The role of mechanical interactions in EMT

This study presents a mathematical model of mechanical cellular processes driven by EMT and explores their influence on cell behavior.

Mathematical model of tumour spheroid experiments with real-time cell cycle imaging

This paper develops a mathematical model to interpret FUCCI-labelled tumour spheroid growth experiments, capturing cell cycle dynamics and drug responses.

A free boundary mechanobiological model of epithelial tissues

This study develops a free boundary mechanobiological model coupling intracellular signaling and mechanical properties to simulate epithelial tissue dynamics, validated against discrete models for two signaling pathways.

Population dynamics with spatial structure and an Allee effect

The paper develops a spatial moment dynamics model to study population dynamics with an Allee effect and short-range interactions, showing spatial structure can alter extinction and survival outcomes compared to mean-field models.

Mechanical cell competition in heterogeneous epithelial tissues

The paper develops a mechanical model to study how cancer cells outcompete normal cells in epithelial tissues through mechanical differences rather than proliferation rates.

Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics

The paper develops a stochastic individual-based model to link local mechanisms to global Allee effects in population dynamics, using ecological and cell biology data.

Population dynamics with threshold effects give rise to a diverse family of Allee effects

This paper analyzes a population model with threshold effects to show how different local growth mechanisms produce various Allee effects, using cancer cell growth data for calibration.

Synchronised oscillations in growing cell populations are explained by demographic noise

This study shows that synchronized oscillations in growing cell populations arise from demographic noise rather than active cell-cell communication.

Cell proliferation and migration explain pore bridging dynamics in 3D printed scaffolds of different pore size

The paper investigates how pore size affects tissue bridging in 3D-printed scaffolds and finds that bridging time increases linearly with pore size due to geometric factors, not cell behavior differences.

Identifying density-dependent interactions in collective cell behaviour

The paper develops an individual-based model to study density-dependent cell behavior in scratch assays, finding that motility depends on cell density but proliferation does not.

Practical parameter identifiability for spatiotemporal models of cell invasion

This study assesses parameter identifiability in a spatiotemporal reaction-diffusion model of cell invasion using Bayesian MCMC and profile likelihood methods, finding that parameters are identifiable when subpopulation diffusivities are equal but not when they differ.

New mathematical modelling tools for co-culture experiments: when do we need to explicitly account for signalling molecules?

The paper develops a discrete model for co-culture cell migration and derives a reduced model under steady-state assumptions, comparing it to a full model to determine when simplification is valid.

Small-scale spatial structure influences large-scale invasion rates

The paper shows that small-scale spatial structure affects invasion rates in populations, challenging mean-field model predictions.

Examining go-or-grow using fluorescent cell-cycle indicators and cell cycle-inhibiting drugs

This study examines the go-or-grow hypothesis in melanoma cells using fluorescent cell-cycle indicators and drugs, finding no support for the hypothesis as motility is independent of cell-cycle phase.

Small-scale spatial structure affects predator-prey dynamics and coexistence

The paper shows that small-scale spatial structure can alter predator-prey dynamics, leading to species extinction instead of coexistence predicted by mean-field models.

Accurate and efficient discretisations for stochastic models providing near agent-based spatial resolution at low computational cost

This paper introduces a computationally efficient stochastic agent-based model that balances resolution and cost, matching continuum models in relevant parameter regimes.