I am an applied mathematician interested in the intersection of continuum mechanics and mathematical biology. 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 biological 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.
Through formal model reduction, I am also able to effectively parameterise these mechanistic models using experimental data. These models can then accurately predict the dynamics of complex biological systems.
Research Interests
Biological fluid mechanics
Complex flow
Quantitative mathematical model development
Asymptotic analysis
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
Upcoming talks: 25th May - University of Bristol Mathematics Seminar https://www.bristolmathsresearch.org/seminar/edwina-yeo/
UK Fluids Network Women in Fluids Special Interest Group Member - mailing list open for interested members: https://fluids.ac.uk/sig/WomenFD
UK Fluids Network Meeting, June 2024, UCL (Lead organiser): BioActive and NonNewtonian Fluid Mechanics - registration open: https://sites.google.com/view/bioactive-fluids/2024-joint-meeting-home-bioactive-non-newtonian-fluids
Publications
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
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.
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.
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.
