Modelling and Beyond: Mathematical Perspectives on Biological Tissues
We seek to build a unified framework for studying tissue mechanics and dynamics, contributing to the broader field of mathematical biology. From cellular processes to organ-level dynamics, it aims to uncover the principles that govern complex biological interactions through rigorous modelling and analysis. At its core, the project centres on the development of sophisticated mathematical models, the application of analytical techniques, and the implementation of tailored numerical methods to simulate complex multi-physics phenomena—particularly magneto-electro-chemo-mechanical couplings—that are essential to understanding biological function. These couplings appear in diverse contexts, such as tissue growth, fluid transport, electrical signalling, and chemical diffusion. While the emphasis is on mathematical modelling, we aim to go beyond equations to embrace interdisciplinary collaboration.
Researchers
- Dr Ariel Ramirez Torres
- Dr Raimondo Penta
- Prof Peter Stewart
- Dr Hao Gao
- Prof Nicholas Hill
- Prof Radostin Simitev
Publications
- A theoretical model for focal adhesion and cytoskeleton formation in non-motile cells. Journal of Theoretical Biology, 596, (2025).
- Assessing left ventricular pump function using an immersed boundary method combined with finite elements. International Journal of Fluid Engineering, 2(2), (2025).
- Multiscale modelling of fluid transport in vascular tumours subjected to electrophoresis anticancer therapies. Zeitschrift für angewandte Mathematik und Physik, 75(1), (2024).
- Post-processing of coronary and myocardial spatial data. Computers in Biology and Medicine, 196, (2025).
- Dominant ionic currents in rabbit ventricular action potential dynamics. Plos one, 20(7), (2025).
Grants