Thomas Hillen

The paper analyzes a mathematical model of oncolytic virus-immune interactions to explain why oncolytic viruses rarely achieve complete tumor regression, identifying stacked traveling wave solutions.

This paper develops a multiscale mathematical model of Multiple Sclerosis, showing that EBV infections, estrogen/vitamin D levels, and HLA-DR mutations influence disease initiation and progression.

This study models calcium signaling in glioblastoma networks, testing hypotheses about periodic cells and their role in network communication and vulnerability to disruption.

This paper analyzes the spatiotemporal dynamics of oncolytic virotherapy using mathematical models, showing that spiral waves and turbulence emerge naturally from kinetic Hopf bifurcations.

This study uses mathematical modeling to explore strategies for improving oncolytic virotherapy and immune therapy combination treatments, highlighting the importance of timing and suggesting promising treatment scenarios.

The paper models the oncolytic activity of reovirus variants T3wt and SV5 in cancer cell cultures, finding an optimal binding rate and highlighting the importance of burst size for viral spread.

This paper develops a mathematical model to explain how the tulip breaking virus causes striped patterns in tulips by combining activator-substrate and positional information mechanisms on a growing petal domain.

This study develops a mathematical model to simulate glioma regrowth after resection, showing that tumor microtubes drive rapid regrowth and spread through wound healing mechanisms.

This paper analyzes spatial oscillations in an oncolytic virus model to identify conditions for tumor eradication patterns and derive invasion wave speeds.

The paper develops a new model for glioma invasion driven by microtubes, showing it can predict tumour expansion and relate to existing model classes.

Open-source agent-based PhysiCell model of SARS-CoV-2 infection in lung epithelium; version 5 clears virus in about 6 days in simulation, and delayed T cell arrival increases epithelial loss.

The paper studies radially-symmetric anisotropic diffusion to model aggregation phenomena in biological systems without relying on chemotaxis or adhesion.

This paper derives non-local models of cell-cell adhesion and chemotaxis from a space-jump process and validates them with random walk simulations.