M. A. Chaplain

A genuinely hybrid, multiscale 3D cancer invasion and metastasis modelling framework

The paper enhances a hybrid multiscale cancer invasion model to better reflect biological dynamics and introduces a multi-organ metastasis framework.

Stochastic differential equation modelling of cancer cell migration and tissue invasion

This paper challenges the conventional understanding of cancer cell migration by showing that the drift term in a stochastic differential equation must account for diffusion divergence, not just advection.

Modelling rheumatoid arthritis: A hybrid modelling framework to describe pannus formation in a small joint

This paper introduces a hybrid mathematical model to simulate pannus formation in RA joints and evaluates the impact of immune cells on joint degradation.

Targeting cellular DNA damage responses in cancer: An in vitro-calibrated agent-based model simulating monolayer and spheroid treatment responses to ATR-inhibiting drugs

This paper develops an agent-based model calibrated with in vitro data to simulate cancer cell responses to ATR-inhibiting drugs in monolayers and spheroids, and compares its predictions to in vivo xenograft data.

Development of a Coupled Simulation Toolkit for Computational Radiation Biology Based on Geant4 and CompuCell3D

This paper introduces a coupled simulation toolkit combining Geant4 and CompuCell3D to model radiation effects on tissue, enabling simulation of tumor response to radiation therapy.

A mathematical multi-organ model for bidirectional epithelial-mesenchymal transitions in the metastatic spread of cancer

The paper develops a mathematical model of cancer metastasis that incorporates epithelial-mesenchymal transitions and their impact on tumor spread across multiple organs.

A mathematical framework for modelling the metastatic spread of cancer

This paper develops a mathematical framework to model metastatic spread of cancer, showing that MT1-MMP drives invasion rather than MMP-2.