Professor of Applied Mathematics
Examiner for Final Honour School Mathematics (Panel B)
Tutorial Fellow and Senior Mathematics Tutor, Keble College
Director of Equality and Diversity, MPLS Division
+44 1865 615149
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Systems Cell Biology: An Overview
ISBN-13: 9780123944474 (1 January 2015)
Mathematical modeling predicts synergistic antitumor effects of combining a macrophage-based, hypoxia-targeted gene therapy with chemotherapy.
Cancer Res issue 8 volume 71 page 2826-2837 (15 April 2011) Full text available
Non-local models for the formation of hepatocyte-stellate cell aggregates
JOURNAL OF THEORETICAL BIOLOGY issue 1 volume 267 page 106-120 (7 November 2010) Full text available
An integrative computational model for intestinal tissue renewal.
Cell Prolif issue 5 volume 42 page 617-636 (October 2009) Full text available
Mathematical modeling of a hypoxia-regulated enclitic virus delivered by tumor-associated macrophages
Journal of Theoretical Biology (14 January 2019)
Mathematical modelling of a hypoxia-regulated oncolytic virus delivered by tumour-associated macrophages.
Journal of theoretical biology volume 461 page 102-116 (January 2019)
The impact of exclusion processes on angiogenesis models.
Journal of mathematical biology issue 6-7 volume 77 page 1721-1759 (December 2018)
Unraveling the Control of Cell Cycle Periods during Intestinal Stem Cell Differentiation.
Biophysical journal issue 11 volume 115 page 2250-2258 (December 2018)
A two-phase model of early fibrous cap formation in atherosclerosis.
Journal of theoretical biology volume 456 page 123-136 (November 2018)
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:
- F Spill, P Guerrero, T Alarcon, PK Maini, HM Byrne (2014). Mesoscopic and continuum modelling of angiogenesis. J Math Biol (Published online: March 2014)
- RJ Dyson, JEF Green, JP Whiteley and HM Byrne (2015). An investigation of the influence of extracellular matrix anisotropy and cell-matrix interactions on tissue architecture. J Math Biol (in pres).
- VS Zubkov, AN Coombes, KM Short, K Lefevre, NA Hamilton, IM Smyth, MH Little and HM Byrne (2015). A spatially-averaged mathematical model of kidney branching morphogenesis. J Theor Biol 379: 24-37.
- P Guerrero, HM Byrne, PK Maini and T Alarcon (2015). From invasion to latency: intracellular noise and cell motility as key controls of the competition between resource-limited cellular populations. J Math Biol, doi: 10.1007/s00285-015-0883-2
- 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
- OJ MacLaren, HM Byrne, AJ Fletcher and PK Maini (2015). Models, measurement and inference in epithelial tissue dynamics. Mathematical Biosciences and Engineering (special issue of journal, in press).
- JL Dunster, HM Byrne and JR King (2014). The resolution of inflammation: a mathematical model of neutrophil and macrophage interactions. Bull Math Biol. 76: 1953-1980.
- RD O’Dea, MR Nelson, AJ El-Haj, SL Waters and HM Byrne (2014). A multiscale analysis of nutrient transport and biological tissue growth in vitro. Math Med Biol. (doi: 10.1093/imammb/dqu015)
- L Bowden, PK Maini, DE Moulton, X. Wang, JB Tang, P Liu , HM Byrne (2014). An ordinary differential equation model for full thickness wounds and the effects of diabetes. J Theor Biol.361(21): 87-100.