Professor of Applied Mathematics
Examiner for Final Honour School Mathematics (Panel B)
Associate Head of Department, Planning and Equality and Diversity
Senior Mathematics Tutor, Keble College
Tutorial Fellow, Keble College
Director of Equality and Diversity, MPLS Division
+44 1865 615149
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Dependence of cell-free-layer width on rheological parameters: Combining empirical data on flow separation at microvascular bifurcations with geometrical considerations
Physical Review E: Statistical, nonlinear, and soft matter physics issue 1 volume 105 (24 January 2022)
Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences issue 2256 volume 477 (15 December 2021)
The risk of SARS-CoV-2 outbreaks in low prevalence settings following the removal of travel restrictions
Communications Medicine issue 1 volume 1 (15 December 2021)
Reciprocal interactions between tumour cell populations enhance growth and reduce radiation sensitivity in prostate cancer
Communications Biology issue 1 volume 4 (1 December 2021)
Multiparameter persistent homology landscapes identify immune cell spatial patterns in tumors
Proceedings of the National Academy of Sciences of USA issue 41 volume 118 (8 October 2021)
My research focuses on the development and analysis of mathematical and computational models that describe biomedical systems, with particular application to the growth and treatment of solid tumours, wound healing and tissue engineering. My aims in studying such models are two-fold: to identify the mechanisms responsible for observed biomedical phenomena and to abstract from the resulting mathematical models novel features that merit theoretical investigation.
University of Oxford
Oxford OX2 6GG
- M5: Multivariable calculus
- B5.2: Applied Partial Differential Equations
- B5.5: Further Mathematical Biology
Prizes, awards, and scholarships:
2019: Leah Edelstein-Keshet Prize (Senior Award), Society for Mathematical Biology
2020: Fellow of the Society for Mathematical Biology
Major / recent publications:
- MO Bernabeu, J Kory, JA Grogan, B Markelc, A Beardo, M d’Avezac, R Enjalbert, J Kaeppler, N Daly, J Hetherington, T Krueger, PK Maini, JM Pitt-Francis, RJ Muschel, T Alarcon and HM Byrne (2020). Abnormal morphology biases haematocrit distribution in tumour vasculature and contributes to heterogeneity in tissue oxygenation. PNAS 117 (45) 27811-27819.
- A Osojnik, EA Gaffney, M Davies, JWT Yates, HM Byrne (2020). Identifying and characterising the impact of excitability in a mathematical model of tumour-immune interactions. J Theor Biol 501: 110250
- TD Lewin, PK Maini, EG Moros, H Enderling and HM Byrne (2019). A three-phase model to investigate the effects of dead material on the growth of avascular tumours. Mathematical Modelling of Natural Phenomena 15: 22.
- HZ Ford, HM Byrne and MR Myerscough (2019). A lipid-structured model for macrophage populations in atherosclerotic plaques. J Theor Biol 479: 48-63.
- MJ Chen, LS Kimpton, JP Whiteley, M Castilho, J Malda, CP Please, SL Waters and HM Byrne (2018). Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering. European Journal of Applied Mathematics, 1-29. (doi:10.1017/S0956792518000657).
JA Grogan, AJ Connor, JM Pitt-Frances, PK Maini and HM Byrne (2018). The importance of geometry in the corneal micropocket angiogenesis assay. PLoS Comp Biol 14(3): e1006049.
S Pillay, HM Byrne and PK Maini (2018). The impact of volume exclusion processes on angiogenesis models. J Math Biol. 77(6-7): 1721-1759.
B Lambert, AL MacLean, AG Fletcher, AN Combes, MH Little, HM Byrne (2018). Bayesian inference of agent-based models: a tool for studying kidney branching morphogenesis. J Math Biol 76(7): 1673-1697.
SK Kay, HA Harrington, S Shepherd, K Brennan, T Dale, JM Osborne, DJ Gavaghan, HM Byrne (2017). The role of the Hes1 crosstalk hub in Notch-Wnt interactions of the intestinal crypt. PLoS Comp Biol. 13(2): e1005400.
- AL MacLean, Z Rosen, HM Byrne, HA Harrington (2015). Parameter-free methods distinguish Wnt pathway models and guide design of experiments. PNAS, 10.1073/pnas.1416655112