Embedded Files
I am an applied mathematician interested in the intersection of continuum mechanics with mathematical biology and industrial processes. I am currently an EPSRC National Fluid Mechanics Fellow at UCL Mathematics department, working on developing continuum models of aggregating fluid systems.
I specialise in the development of mathematical models for industrial and biomedical fluid mechanics processes. I have developed mathematical models for biological systems in collaboration with researchers in the field of regenerative medicine and nanotechnology.
Using multiscale mathematical techniques, I am also able to effectively parameterise these mechanistic models using experimental data. These models can then go on to accurately predict the dynamics of complex systems.
Research Interests
Research Interests
Biological fluid mechanics
Complex flow
Quantitative mathematical model development
Asymptotic analysis
Research Positions & Education
Research Positions & Education
EPSRC National Fluid Mechanics Fellow, UCL, (2023- present)
EPSRC Doctoral Prize Research Associate, University of Oxford, (2022- 2023)
DPhil in Mathematics, University of Oxford, (2018- 2022)
MSc in Mathematical Modelling and Scientific Computing, University of Oxford (2017- 2018)
BSc in Mathematics, UCL (2014 - 2017)
Engagement and events
Engagement and events
UK Fluids Network Women in Fluids Special Interest Group Member - mailing list open for interested members: https://fluids.ac.uk/sig/WomenFD
London Fluids Colloquium (Lead organiser): see website for details of next London-based colloquium (12th December): https://london-fluids-colloquium.github.io
Winner of Gold Medal for Mathematics in STEM for Britain 2025
Winner of Westminster medal at STEM for Britain 2025
Publications, Reports & Preprints
Publications, Reports & Preprints
M Brennan, E.F. Yeo, P Pearce, MP Dalwadi, Effective permeability conditions for diffusive transport through impermeable membranes with gaps, submitted, Preprint: https://arxiv.org/abs/2508.10694
A. Nelson, E.F. Yeo et al. Mathematical Modeling of Bone Remodeling after Surgical Menopause submitted, Preprint: https://www.biorxiv.org/content/10.1101/2025.10.19.683313v1
E.F Yeo et al. Mathematical modelling of humidity transport for the conservation of the historic ship the SS Great Britain, 2025 ( ESGI Study group report)
Bohun et al. Mathematical Modelling of Deposition and Erosion of Particles in Pipes, 2025 ( ESGI Study group report)
E.F.Yeo, B.J.Walker, P. Pearce, M.P.Dalwadi, A shear-induced limit on bacterial surface adhesion in fluid flow, submitted, Preprint: https://arxiv.org/abs/2507.02880.
J. J. Taylor-West, R Doran, M. L. Morgan, E. F. Yeo (short report) Data driven modelling of lava crust evolution, NFFDy summer proceedings 2024.
E.F.Yeo, J. M. Oliver, N. Korin, S. L. Waters, A continuum model for the elongation and orientation of Von Willebrand Factor with applications in arterial flow, Biomechanics and Modelling in Mechanobiology, 2024
E.F. Yeo* A. Naga* F.P. Conto, F. Shabazi (joint 1st author, short report) Dynamics of microscale surface contaminants in fluids flows: extracting collective behaviour from image data, NFFDy summer proceedings 2023
Bidan et. al, Curvature in Biological Systems: Its quantification, Emergence and Implications Across the Scales, Advanced Materials, 2022
E. F. Yeo, H. Markides, A. T. Schade, A. J. Studd, J. M. Oliver, S. L. Waters and A. J. El Haj, Experimental and mathematical modelling of magnetically labelled mesenchymal stromal cell delivery, Royal Society Interface, 2021
Research
Research
Adhesion of bacteria in flow
Adhesion of bacteria in flow
Understanding bacterial surface adhesion and subsequent biofilm formation in fluid systems is crucial for the safety and efficacy of medical and industrial processes. In this work, we exploit the disparity between the fluid velocity of these industrial processes and the swimming velocity of motile bacteria to determine a coarse-grained bacterial diffusion coefficient that describes how bacterial adhesion to surfaces depends on swimming speed, rotational diffusion, and shape.
In collaboration with Prof. Mohit Dalwadi, Dr Philip Pearce, Dr Benjamin Walker
Collective magnetic nanoparticle behaviour in flow
Collective magnetic nanoparticle behaviour in flow
The magnetic interaction is understood between discrete nanoparticles. However, in therapeutic applications many thousands of particles are often used. I am currently developing mean-field models for systems of interacting magnetic nanoparticles and validating this approach against numerical simulations of large numbers of nanoparticles.
In collaboration with Prof. Jon Chapman.
Von Willebrand Factor in arterial thrombosis
Von Willebrand Factor in arterial thrombosis
Blood protein Von Willebrand Factor (VWF) is critical in facilitating arterial thrombosis. At pathologically high shear rates the protein unfolds and rapidly captures platelets from the flow. I have developed a continuum model for thrombus formation in a diseased artery model. This model extends existing continuum models for thrombosis by explicitly modelling the VWF unfolding dynamics.
In collaboration with Prof. Sarah L. Waters, Prof. James M. Oliver, Prof. Netanal Korin.
Magnetic Stem Cell Delivery
Magnetic Stem Cell Delivery
Magnetic targeting has been applied improve stem cell delivery for regenerative medicine. I have developed a 2D continuum model of the flow of blood and magnetically tagged stem cells in a single channel. This can predict optimal parameter regimes for a safe and effective delivery of stem cells and avoid potentially dangerous vessel blockage.
In collaboration with Prof. Sarah L. Waters, Prof. James M. Oliver, Prof. Alicia El Haj.
Page updated
Google Sites
Report abuse