Helen Byrne

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Philip MainiProfessor of Mathematical BiologyVerified email at maths.ox.ac.uk
Tomas AlarconICREA 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
Claire E LewisUniversity of SheffieldVerified email at sheffield.ac.uk
James OsborneUniversity of MelbourneVerified email at unimelb.edu.au
Joe Pitt-FrancisVerified email at cs.ox.ac.uk
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
McElwainQueensland University of TechnologyVerified email at qut.edu.au
Jonathan CooperUniversity College LondonVerified email at ucl.ac.uk
Reuben O'DeaUniversity of NottinghamVerified email at nottingham.ac.uk
Philip J MurrayDivision of Mathematics, University of DundeeVerified email at maths.ox.ac.uk
Kevin ShakesheffUniversity of NottinghamVerified email at nottingham.ac.uk
Heather A HarringtonMathematical Institute, University of OxfordVerified email at maths.ox.ac.uk
Pras PathmanathanFood and Drug AdministrationVerified email at fda.hhs.gov
Malcolm BennettProfessor of Plant Science, School of Biosciences, University of NottinghamVerified email at nottingham.ac.uk
Rebecca ShipleyProfessor of Healthcare Engineering, UCLVerified email at ucl.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


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Spectral analysis of dynamic PET studies VJ Cunningham, T Jones Journal of Cerebral Blood Flow & Metabolism 13 (1), 15-23, 1993	542	1993
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	487	2003
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	461	2015
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	447	2003
Growth of nonnecrotic tumors in the presence and absence of inhibitors HM Byrne, MAJ Chaplain Mathematical biosciences 130 (2), 151-181, 1995	414	1995
Dissecting cancer through mathematics: from the cell to the animal model HM Byrne Nature Reviews Cancer 10 (3), 221-230, 2010	382	2010
Growth of necrotic tumors in the presence and absence of inhibitors HM Byrne, MAJ Chaplain Mathematical biosciences 135 (2), 187-216, 1996	308	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	294	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	261	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	250	2006
A multiple scale model for tumor growth T Alarcón, HM Byrne, PK Maini Multiscale Modeling & Simulation 3 (2), 440-475, 2005	235	2005
A two-phase model of solid tumour growth HM Byrne, JR King, DLS McElwain, L Preziosi Applied Mathematics Letters 16 (4), 567-573, 2003	235	2003
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	225	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	223	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	205	1997
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	203	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	196	1996
Mathematical models for tumour angiogenesis: numerical simulations and nonlinear wave solutions HM Byrne, MAJ Chaplain Bulletin of mathematical biology 57 (3), 461-486, 1995	188	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	184*	2003
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	181	2002

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