Professor of Applied Mathematics
Associate Head of Department, Planning and Equality and Diversity
Tutorial Fellow and Senior Mathematics Tutor, Keble College
Director of Equality and Diversity, MPLS Division
Examiner for Final Honour School Mathematics (Panel B)
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Reciprocal interactions between tumour cell populations enhance growth and reduce radiation sensitivity in prostate cancer
Communications Biology issue 1 volume 4 (1 December 2021)
Detection of melatonin-onset in real settings via wearable sensors and artificial intelligence. A pilot study
Biomedical Signal Processing and Control volume 65 (1 March 2021)
Accounting for cross-immunity can improve forecast accuracy during influenza epidemics.
Epidemics volume 34 page 100432- (17 December 2020)
Evaluating snail-trail frameworks for leader-follower behavior with agent-based modeling
Physical Review E volume 102 (14 December 2020)
Combining multiple spatial statistics enhances the description of immune cell localisation within tumours
Scientific Reports volume 10 (29 October 2020)
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
Major / recent publications:
- 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).
TD Lewin, H Enderling, EG Moros, PK Maini and HM Byrne (2018). The legacy of hypoxia on tumour responses to fractionated radiotherapy. Bull Math Biol. 80(5): 1207-1235
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.
OJ Maclaren, A Parker, C Pin, SR Carding, AJM Watson, AG Fletcher, HM Byrne, PK Maini (2017). A hierarchical Bayesian model for understanding the spatiotemporal dynamics of the intestinal epithelium. PLoS Comp Biol 13(7): e1005688.
- 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.
- J Visser, FPW Melchels, JE Jeon, EM van Bussel, LS Kimpton, HM Byrne, WJA Dhert, PD Dalton, DW Hutmacher, J Malda (2015). Reinforcement of hydrogels using three-dimensionally printed microfibers. Nature Communications doi:10.1038/ncomms7933