Status:
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
ORCID iD:
https://orcid.org/0000-0003-1771-5910
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Publications:
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
Recent Publications:
A lipid-structured model for macrophage populations in atherosclerotic plaques.
Journal of theoretical biology
volume 479
page 48-63
(October 2019)
Age Structure Can Account for Delayed Logistic Proliferation of Scratch Assays.
Bulletin of mathematical biology
issue 7
volume 81
page 2706-2724
(July 2019)
Efferocytosis perpetuates substance accumulation inside macrophage populations.
Proceedings. Biological sciences
issue 1904
volume 286
page 20190730-
(5 June 2019)
Mathematical Modelling of Smooth Muscle Cell Migration Reveals Mechanisms of Early Fibrous Cap Formation in Atherosclerosis
CARDIOVASCULAR DRUGS AND THERAPY
issue 2
volume 33
page 267-267
(April 2019)
Full text available
A Biomechanical Model of Tumor-Induced Intracranial Pressure and Edema in Brain Tissue.
Biophysical journal
issue 8
volume 116
page 1560-1574
(April 2019)
Research interests:
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.
Preferred address:
University of Oxford
Oxford OX2 6GG
Teaching:
- 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.