Helen Byrne

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Philip MainiProfessor of Mathematical BiologyVerified email at maths.ox.ac.uk
Tomas Alarcon (ORCID 0000-0002-85...ICREA Research Professor at the Centre de Recerca Matematica, Barcelona, SpainVerified email at crm.cat
Markus OwenProfessor of Mathematical Biology, University of NottinghamVerified email at nottingham.ac.uk
Mark AJ ChaplainGregory Chair of Applied Mathematics, School of Mathematics and Statistics, University of St AndrewsVerified email at st-andrews.ac.uk
Joe Pitt-FrancisUniversity of Oxford, Department of Computer ScienceVerified email at cs.ox.ac.uk
Claire E LewisUniversity of SheffieldVerified email at sheffield.ac.uk
James OsborneUniversity of MelbourneVerified email at unimelb.edu.au
David GavaghanProfessor of Computational Biology, University of OxfordVerified email at cs.ox.ac.uk
Gary MiramsCentre for Mathematical Medicine & Biology, University of NottinghamVerified email at nottingham.ac.uk
Oliver E. JensenProfessor of Applied Mathematics, University of ManchesterVerified email at manchester.ac.uk
Ingeborg van LeeuwenKarolinska InstitutetVerified email at ki.se
Heather A HarringtonMathematical Institute, University of OxfordVerified email at maths.ox.ac.uk
McElwainQueensland University of TechnologyVerified email at qut.edu.au
Jonathan CooperUniversity College LondonVerified email at ucl.ac.uk
Kevin ShakesheffOpen UniversityVerified email at nottingham.ac.uk
Philip J MurrayDivision of Mathematics, University of DundeeVerified email at maths.ox.ac.uk
Reuben O'DeaUniversity of NottinghamVerified email at nottingham.ac.uk
Pras PathmanathanFood and Drug AdministrationVerified email at fda.hhs.gov
Rebecca ShipleyProfessor of Healthcare Engineering, UCLVerified email at ucl.ac.uk
Malcolm BennettProfessor of Plant Science, School of Biosciences, University of NottinghamVerified email at nottingham.ac.uk

Helen Byrne

University of Nottingham, UMIST, Oxford University

Verified email at maths.ox.ac.uk

Mathematical modelling with application to biology and medicine


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Reinforcement of hydrogels using three-dimensionally printed microfibres J Visser, FPW Melchels, JE Jeon, EM Van Bussel, LS Kimpton, HM Byrne, ... Nature communications 6 (1), 1-10, 2015	550	2015
A cellular automaton model for tumour growth in inhomogeneous environment T Alarcón, HM Byrne, PK Maini Journal of theoretical biology 225 (2), 257-274, 2003	502	2003
Modelling solid tumour growth using the theory of mixtures H Byrne, L Preziosi Mathematical medicine and biology: a journal of the IMA 20 (4), 341-366, 2003	480	2003
Growth of nonnecrotic tumors in the presence and absence of inhibitors HM Byrne, MAJ Chaplain Mathematical biosciences 130 (2), 151-181, 1995	440	1995
Dissecting cancer through mathematics: from the cell to the animal model HM Byrne Nature Reviews Cancer 10 (3), 221-230, 2010	421	2010
Growth of necrotic tumors in the presence and absence of inhibitors HM Byrne, MAJ Chaplain Mathematical biosciences 135 (2), 187-216, 1996	328	1996
Individual-based and continuum models of growing cell populations: a comparison H Byrne, D Drasdo Journal of mathematical biology 58 (4), 657-687, 2009	308	2009
Chaste: a test-driven approach to software development for biological modelling J Pitt-Francis, P Pathmanathan, MO Bernabeu, R Bordas, J Cooper, ... Computer Physics Communications 180 (12), 2452-2471, 2009	274	2009
Modelling aspects of cancer dynamics: a review HM Byrne, T Alarcon, MR Owen, SD Webb, PK Maini Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2006	268	2006
A two-phase model of solid tumour growth HM Byrne, JR King, DLS McElwain, L Preziosi Applied Mathematics Letters 16 (4), 567-573, 2003	252	2003
A multiple scale model for tumor growth T Alarcón, HM Byrne, PK Maini Multiscale Modeling & Simulation 3 (2), 440-475, 2005	249	2005
Angiogenesis and vascular remodelling in normal and cancerous tissues MR Owen, T Alarcón, PK Maini, HM Byrne Journal of mathematical biology 58 (4), 689-721, 2009	237	2009
Modelling the role of cell-cell adhesion in the growth and development of carcinomas HM Byrne, MAJ Chaplain Mathematical and Computer Modelling 24 (12), 1-17, 1996	235	1996
A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy TL Jackson, HM Byrne Mathematical biosciences 164 (1), 17-38, 2000	222	2000
A model of wound-healing angiogenesis in soft tissue GJ Pettet, HM Byrne, DLS McElwain, J Norbury Mathematical biosciences 136 (1), 35-63, 1996	215	1996
Free boundary value problems associated with the growth and development of multicellular spheroids HM Byrne, MAJ Chaplain European Journal of Applied Mathematics 8 (6), 639-658, 1997	211	1997
The role of cell-cell interactions in a two-phase model for avascular tumour growth CJW Breward, HM Byrne, CE Lewis Journal of Mathematical Biology 45 (2), 125-152, 2002	201	2002
Mathematical models for tumour angiogenesis: numerical simulations and nonlinear wave solutions HM Byrne, MAJ Chaplain Bulletin of mathematical biology 57 (3), 461-486, 1995	197	1995
Modeling the growth of comedo ductal carcinoma in situ SJH Franks, HM Byrne, JP King, JCE Underwood, CE Lewis Math. Med. Biol 20, 277-308, 2003	195*	2003
Multiscale modelling of vascular tumour growth in 3D: the roles of domain size and boundary conditions H Perfahl, HM Byrne, T Chen, V Estrella, T Alarcón, A Lapin, RA Gatenby, ... PloS one 6 (4), e14790, 2011	187	2011

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