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David Kay : Publications

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@article{foy2019lung,
  title = "Lung computational models and the role of the small airways in asthma",
  author = "Foy, Brody H and Soares, Marcia and Bordas, Rafel and Richardson, Matthew and Bell, Alex and Singapuri, Amisha and Hargadon, Beverley and Brightling, Christopher and Burrowes, Kelly and Kay, David and others",
  year = "2019",
}
@article{foy2019computationally,
  title = "A Computationally Tractable Scheme for Simulation of the Human Pulmonary System",
  author = "Foy, Brody H and Kay, David",
  year = "2019",
}
@article{bell2019functional,
  title = "Functional CT imaging for identification of the spatial determinants of small-airways disease in adults with asthma",
  author = "Bell, Alex J and Foy, Brody H and Richardson, Matthew and Singapuri, Amisha and Mirkes, Evgeny and van den Berge, Maarten and Kay, David and Brightling, Chris and Gorban, Alexander N and Galb{\'a}n, Craig J and others",
  year = "2019",
}
@article{foy2018modelling,
  title = "Modelling the effect of gravity on inert-gas washout outputs",
  author = "Foy, Brody H and Gonem, Sherif and Brightling, Chris and Siddiqui, Salman and Kay, David",
  year = "2018",
}
@article{parsons2017step,
  title = "Step evolution in two-dimensional diblock copolymer films",
  author = "Parsons, Quentin and Kay, David and M{\"u}nch, Andreas",
  year = "2017",
}
@article{parker2017geospatial,
  title = "Geospatial statistics of high field functional MRI reveal topographical clustering for binocular stereo depth in early visual cortex",
  author = "bioRxiv",
  year = "2017",
}
@article{foy2017computational,
  title = "A computational comparison of the multiple-breath washout and forced oscillation technique as markers of bronchoconstriction",
  author = "{Respiratory physiology \& neurobiology",
  year = "2017",
}
@article{berger2017stabilized,
  title = "A stabilized finite element method for finite-strain three-field poroelasticity",
  author = "Computational Mechanics",
  year = "2017",
}
@article{cusimano2017reflecting,
  title = "On reflecting boundary conditions for space-fractional equations on a finite interval: Proof of the matrix transfer technique",
  author = "Applied Mathematical Modelling",
  year = "2017",
}
@article{burrowes2017combined,
  title = "A combined image-modelling approach assessing the impact of hyperinflation due to emphysema on regional ventilation--perfusion matching",
  author = "Burrowes, KS and Doel, Tom and Kim, M and Vargas, Claudia and Roca, Josep and Grau, Vicente and Kay, D",
  year = "2017",
}
@article{foy2017computational,
  title = "A computational comparison of the multiple-breath washout and forced oscillation technique as markers of bronchoconstriction",
  author = "Foy, Brody H and Kay, David",
  year = "2017",
  journal = "Respiratory Physiology \& Neurobiology",
  pages = "61--69",
  publisher = "Elsevier",
  volume = "240",
}
@article{berger2017stabilized,
  title = "A stabilized finite element method for finite-strain three-field poroelasticity",
  author = "Berger, Lorenz and Bordas, Rafel and Kay, David and Tavener, Simon",
  year = "2017",
  journal = "Computational Mechanics",
  pages = "1--18",
  publisher = "Springer Berlin Heidelberg",
}
@article{cusimano2017reflecting,
  title = "On reflecting boundary conditions for space-fractional equations on a finite interval: Proof of the matrix transfer technique",
  author = "Cusimano, N and Burrage, K and Turner, I and Kay, D",
  year = "2017",
  journal = "Applied Mathematical Modelling",
  pages = "554--565",
  publisher = "Elsevier",
  volume = "42",
}
@article{foy2017modelling,
  title = "Modelling responses of the inert-gas washout and MRI to bronchoconstriction",
  author = "Foy, Brody H and Kay, David and Bordas, Rafel",
  year = "2017",
  journal = "Respiratory Physiology \& Neurobiology",
  pages = "8--17",
  publisher = "Elsevier",
  volume = "235",
}
@article{burrowes2017combined,
  title = "A combined image-modelling approach assessing the impact of hyperinflation due to emphysema on regional ventilation--perfusion matching",
  author = "Burrowes, KS and Doel, T and Kim, M and Vargas, C and Roca, J and Grau, V and Kay, D",
  year = "2017",
  journal = "Computer Methods in Biomechanics and Biomedical Engineering: Imaging \& Visualization",
  number = "2",
  pages = "110--126",
  publisher = "Taylor \& Francis",
  volume = "5",
}
@incollection{foy2017inert,
  title = "Inert-Gas Washout And Forced Oscillation Technique Show Sensitivity To The Degree Of Regionalisation Of Bronchoconstriction",
  author = "Foy, Brody H and Kay, David",
  year = "2017",
  booktitle = "B109. ADVANCES IN PULMONARY MEASUREMENTS, MODELING, AND METHODOLOGY",
  pages = "A4881--A4881",
  publisher = "American Thoracic Society",
}
@article{berger2016poroelastic,
  title = "A poroelastic model coupled to a fluid network with applications in lung modelling",
  author = "Berger, Lorenz and Bordas, Rafel and Burrowes, Kelly and Grau, Vicente and Tavener, Simon and Kay, David",
  year = "2016",
  journal = "International journal for numerical methods in biomedical engineering",
  number = "1",
  volume = "32",
}
@misc{soares2016validation,
  title = "Validation of impulse oscillometry R5-R20 as a small airways dysfunction detection tool in adult asthma",
  author = "Soares, Marcia and Bordas, Rafel and Thorpe, James and Timmerman, Breanda and Brightling, Christopher and Kay, David and Burrowes, Kelly and John, Owers-Bradley and Siddiqui, Salman",
  year = "2016",
  publisher = "European Respiratory Society",
}
@article{bordas2015development,
  title = "Development and analysis of patient-based complete conducting airways models",
  author = "Bordas, Rafel and Lefevre, Christophe and Veeckmans, Bart and Pitt-Francis, Joe and Fetita, Catalin and Brightling, Christopher E and Kay, David and Siddiqui, Salman and Burrowes, Kelly S",
  year = "2015",
  journal = "PloS one",
  number = "12",
  pages = "e0144105",
  publisher = "Public Library of Science",
  volume = "10",
}
@article{berger2015stabilized,
  title = "Stabilized Lowest-Order Finite Element Approximation for Linear Three-Field Poroelasticity",
  author = "Berger, Lorenz and Bordas, Rafel and Kay, David and Tavener, Simon",
  year = "2015",
  journal = "SIAM Journal on Scientific Computing",
  number = "5",
  pages = "2222--2245",
  publisher = "SIAM",
  volume = "37",
}
@article{mclennan2015vegf,
  title = "VEGF signals induce trailblazer cell identity that drives neural crest migration",
  author = "McLennan, Rebecca and Schumacher, Linus J and Morrison, Jason A and Teddy, Jessica M and Ridenour, Dennis A and Box, Andrew C and Semerad, Craig L and Li, Hua and McDowell, William and Kay, David and others",
  year = "2015",
  journal = "Developmental biology",
  number = "1",
  pages = "12--25",
  publisher = "Academic Press",
  volume = "407",
}
@article{mclennan2015neural,
  title = "Neural crest migration is driven by a few trailblazer cells with a unique molecular signature narrowly confined to the invasive front",
  author = "McLennan, Rebecca and Schumacher, Linus J and Morrison, Jason A and Teddy, Jessica M and Ridenour, Dennis A and Box, Andrew C and Semerad, Craig L and Li, Hua and McDowell, William and Kay, David and others",
  year = "2015",
  journal = "Development",
  number = "11",
  pages = "2014--2025",
  publisher = "Oxford University Press for The Company of Biologists Limited",
  volume = "142",
}
@article{Berger_sisc_2015,
  title = "Stabilized Lowest-Order Finite Element Approximation for Linear Three-Field Poroelasticity",
  author = "Lorenz Berger and Rafel Bordas and David Kay and Simon Tavener",
  year = "2015",
  journal = "Siam Journal on Scientific Computing",
  pages = "2222--2245",
  volume = "37(5)",
}
@article{McLennan_2015,
  title = "Neural crest migration is driven by a few trailblazer cells with a unique molecular signature narrowly confined to the invasive front",
  author = "Rebecca McLennan, Linus J Schumacher, Jason A Morrison, Jessica M Teddy, Dennis A Ridenour, Andrew C Box, Craig L Semerad, Hua Li, William McDowell, David Kay, Philip K Maini, Ruth E Baker, Paul M Kulesa",
  year = "2015",
  journal = "Development",
}
@article{berger2015poroelastic,
  title = "A poroelastic model coupled to a fluid network with applications in lung modelling",
  author = "Berger, Lorenz and Bordas, Rafel and Burrowes, Kelly and Grau, Vicente and Tavener, Simon and Kay, David",
  year = "2015",
  journal = "International journal for numerical methods in biomedical engineering",
}
@article{kim2015dynamic,
  title = "Dynamic flow characteristics in normal and asthmatic lungs",
  author = "Kim, Minsuok and Bordas, Rafel and Vos, Wim and Hartley, Ruth A and Brightling, Chris E and Kay, David and Grau, Vicente and Burrowes, Kelly S",
  year = "2015",
  journal = "International journal for numerical methods in biomedical engineering",
  number = "12",
  volume = "31",
}
@article{McLennan_2015,
  title = "VEGF signals induce trailblazer cell identity that drives neural crest migration",
  author = "Rebecca McLennan, Linus J Schumacher, Jason A Morrison, Jessica M Teddy, Dennis A Ridenour, Andrew C Box, Craig L Semerad, Hua Li, William McDowell, David Kay, Philip K Maini, Ruth E Baker, Paul M Kulesa",
  year = "2015",
  journal = "Developmental Biology",
}
@article{burrowes2015combined,
  title = "A combined image-modelling approach assessing the impact of hyperinflation due to emphysema on regional ventilation--perfusion matching",
  author = "Burrowes, KS and Doel, T and Kim, M and Vargas, C and Roca, J and Grau, V and Kay, D",
  year = "2015",
  journal = "Computer Methods in Biomechanics and Biomedical Engineering: Imaging \& Visualization",
  number = "ahead-of-print",
  pages = "1--17",
  publisher = "Taylor \& Francis",
}
@article{bordas2014clinical,
  title = "Clinical validation of a CT-based impulse oscillometry model",
  author = "Bordas, Rafel and Gonem, Sherif and Lefevre, Christophe and Veeckmans, Bart and Hartley, Ruth and Pitt-Francis, Joe and Fetita, Catalin and Brightling, Chris and Owers-Bradley, John and Kay, David and others",
  year = "2014",
  journal = "European Respiratory Journal",
  number = "Suppl 58",
  pages = "P541",
  publisher = "European Respiratory Society",
  volume = "44",
}
@article{bordas2014relationship,
  title = "Relationship between heterogeneous bronchoconstriction and impulse oscillometry resistance: A simulation study",
  author = "Bordas, Rafel and Gonem, Sherif and Vos, Wim and Hartley, Ruth and Pitt-Francis, Joe and De Backer, Jan and Brightling, Chris and Owers-Bradley, John and Kay, David and Siddiqui, Salman and others",
  year = "2014",
  journal = "European Respiratory Journal",
  number = "Suppl 58",
  pages = "P1825",
  publisher = "European Respiratory Society",
  volume = "44",
}
@article{bordas2014understanding,
  title = "Understanding The Interdependence Between Parenchymal Deformation And Ventilation In Obstructive Lung Disease",
  author = "Bordas, R and Burrowes, K and Brightling, CE and Hartley, R and Kay, D and Berger, LU",
  year = "2014",
  journal = "Am J Respir Crit Care Med",
  pages = "A2677",
  volume = "189",
}
@article{bosch2014fast,
  title = "Fast Solvers for Cahn--Hilliard Inpainting",
  author = "Bosch, Jessica and Kay, David and Stoll, Martin and Wathen, Andrew J",
  year = "2014",
  journal = "SIAM Journal on Imaging Sciences",
  number = "1",
  pages = "67--97",
  publisher = "Society for Industrial and Applied Mathematics",
  volume = "7",
}
@article{bueno2014fourier,
  title = "Fourier spectral methods for fractional-in-space reaction-diffusion equations",
  author = "Bueno-Orovio, Alfonso and Kay, David and Burrage, Kevin",
  year = "2014",
  journal = "BIT Numerical Mathematics",
  number = "4",
  pages = "937--954",
  publisher = "Springer Netherlands",
  volume = "54",
}
@article{Bueno2014Interface,
  title = "Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization",
  author = "Bueno-Orovio, A. and Kay, D. and Grau, V. and Rodriguez, B. and Burrage, K.",
  year = "2014",
  issn = "1742-5662",
  journal = "J R Soc Interface",
  number = "97",
  pages = "20140352",
  url = "https://www.ncbi.nlm.nih.gov/pubmed/24920109",
  volume = "11",
  doi = "10.1098/rsif.2014.0352",
}
@incollection{berger2014understanding,
  title = "Understanding the interdependence between parenchymal deformation and ventilation in obstructive lung disease",
  author = "Berger, Lorenz U and Bordas, Rafel and Burrowes, Kelly and Brightling, Chris E and Hartley, Ruth and Kay, David",
  year = "2014",
  booktitle = "B30. DYNAMICS OF AIRWAY NARROWING IN ASTHMA: STILL MISUNDERSTOOD?",
  pages = "A2677--A2677",
  publisher = "American Thoracic Society",
}
@article{bordas2013simulating,
  title = "Simulating bronchoconstriction in a patient specific model of the major airways",
  author = "Bordas, RM and Brook, B and Kay, D and Burrowes, K",
  year = "2013",
  journal = "Proceedings of The Physiological Society",
  publisher = "The Physiological Society",
}
@article{kim2013simulation,
  title = "Simulation of pulmonary function test using a one dimensional airway ventilation model",
  author = "Kim, M and Kay, D and Burrowes, KS",
  year = "2013",
  journal = "Proceedings of The Physiological Society",
  publisher = "The Physiological Society",
}
@article{vaughan2013modified,
  title = "A Modified Oster--Murray--Harris Mechanical Model of Morphogenesis",
  author = "Vaughan Jr, Benjamin L and Baker, Ruth E and Kay, David and Maini, Philip K",
  year = "2013",
  journal = "SIAM Journal on Applied Mathematics",
  number = "6",
  pages = "2124--2142",
  publisher = "SIAM",
  volume = "73",
}
@article{arthurs2013efficient,
  title = "Efficient simulation of cardiac electrical propagation using high-order finite elements II: Adaptive p-version",
  author = "Arthurs, Christopher J and Bishop, Martin J and Kay, David",
  year = "2013",
  journal = "Journal of Computational Physics",
  pages = "443--470",
  publisher = "Academic Press",
  volume = "253",
}
@article{pathmanathan2013existence,
  title = "Existence of solutions of partially degenerate viscoelastic problems, and applications to modelling muscular contraction and cardiac electro-mechanical activity",
  author = "Pathmanathan, PRAS and Ortner, CHRISTOPH and Kay, DAVID",
  year = "2013",
  journal = "Solvability analysis of linearized cardiac electromechanics",
  volume = "35",
}
@article{mccormick2013simulating,
  title = "Simulating left ventricular fluid--solid mechanics through the cardiac cycle under LVAD support",
  author = "McCormick, Matthew and Nordsletten, David A and Kay, David and Smith, NP",
  year = "2013",
  journal = "Journal of Computational Physics",
  pages = "80--96",
  publisher = "Academic Press",
  volume = "244",
}
@inproceedings{bordas2013simulating,
  title = "Simulating bronchoconstriction in a patient specific model of the major airways",
  author = "Bordas, RM and Brook, B and Kay, D and Burrowes, K",
  year = "2013",
  booktitle = "Proceedings of The Physiological Society",
  organization = "The Physiological Society",
}
@inproceedings{kim2013simulation,
  title = "Simulation of pulmonary function test using a one dimensional airway ventilation model",
  author = "Kim, M and Kay, D and Burrowes, KS",
  year = "2013",
  booktitle = "Proceedings of The Physiological Society",
  organization = "The Physiological Society",
}
@misc{pathmanathan2013existence,
  title = "Existence of solutions of partially degenerate visco-elastic problems, and applications to modelling muscular contraction and cardiac electro-mechanical activity",
  author = "Pathmanathan, Pras and Ortner, CHRISTOPH and Kay, DAVID",
  year = "2013",
  publisher = "submitted",
}
@article{pathmanathan2012computational,
  title = "Computational modelling of cardiac electrophysiology: explanation of the variability of results from different numerical solvers",
  author = "Pathmanathan, P and Bernabeu, MO and Niederer, SA and Gavaghan, DJ and Kay, D",
  year = "2012",
  journal = "International journal for numerical methods in biomedical engineering",
  number = "8",
  pages = "890--903",
  publisher = "John Wiley \& Sons, Ltd",
  volume = "28",
}
@article{trichas2012multi,
  title = "Multi-Cellular Rosettes in the Mouse Visceral Endoderm Facilitate the Ordered Migration of Anterior Visceral Endoderm Cells",
  author = "Trichas, Georgios and Smith, Aaron M and White, Natalia and Wilkins, Vivienne and Watanabe, Tomoko and Moore, Abigail and Joyce, Bradley and Sugnaseelan, Jacintha and Rodriguez, Tristan A and Kay, David and others",
  year = "2012",
  journal = "PLoS Biology",
  number = "2",
  pages = "e1001256",
  publisher = "Public Library of Science",
  volume = "10",
}
@article{kay2012does,
  title = "How Does Parenchymal Stress Distribution Change During Airway Remodeling?",
  author = "Kay, D and Grau, V and Burrowes, K and Bordas, R",
  year = "2012",
  journal = "Am J Respir Crit Care Med",
  pages = "A2069",
  volume = "185",
}
@article{grau2012predicting,
  title = "Predicting Ventilation Distribution: A Model Of Coupled Acinar Dynamics And Pressure Distribution In The Conducting Airways",
  author = "Grau, V and Kay, D and Burrowes, K and Kim, M",
  year = "2012",
  journal = "Am J Respir Crit Care Med",
  pages = "A2068",
  volume = "185",
}
@article{asner2012adjoint,
  title = "Adjoint-based a posteriori error estimation for coupled time-dependent systems",
  author = "Asner, Liya and Tavener, Simon and Kay, David",
  year = "2012",
  journal = "SIAM Journal on Scientific Computing",
  number = "4",
  pages = "A2394--A2419",
  publisher = "Society for Industrial and Applied Mathematics",
  volume = "34",
}
@article{burrage2012efficient,
  title = "An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations",
  author = "Burrage, Kevin and Hale, Nicholas and Kay, David",
  year = "2012",
  journal = "SIAM Journal on Scientific Computing",
  number = "4",
  pages = "A2145--A2172",
  publisher = "Society for Industrial and Applied Mathematics",
  volume = "34",
}
@article{dangerfield2012boundary,
  title = "A boundary preserving numerical algorithm for the Wright-Fisher model with mutation",
  author = "Dangerfield, CE and Kay, D and MacNamara, S and Burrage, K",
  year = "2012",
  journal = "BIT Numerical Mathematics",
  number = "2",
  pages = "283--304",
  publisher = "Springer Netherlands",
  volume = "52",
}
@article{McCormick_2012,
  title = "Simulating Left Ventricular Fluid-Solid Mechanics through the Cardiac Cycle under LVAD Support",
  author = "M. McCormick and D. Nordsletten and D. Kay and N. Smith",
  year = "2012",
  journal = "Journal of Computational Physics",
  doi = "10.1016/j.jcp.2012.08.008",
}
@article{SIAM_APP_RAF_2012,
  title = "A Bidomain model of the ventricular specialized conduction system of the heart",
  author = "Bordas, RM and Gillow, K and Gavaghan, David and Rodr{\'\i}guez, Blanca and Kay, David",
  year = "2012",
  journal = "SIAM Journal on Applied Mathematics",
  number = "5",
  pages = "1618--1643",
  publisher = "Society for Industrial and Applied Mathematics",
  volume = "72",
}
@article{dangerfield2012modeling,
  title = "Modeling ion channel dynamics through reflected stochastic differential equations",
  author = "Dangerfield, Ciara and Kay, David and Burrage, Kevin",
  year = "2012",
  journal = "Phys. Rev. E",
  number = "5",
  volume = "85",
}
@article{Arthurs_uniform,
  title = "Efficient simulation of cardiac electrical propagation using high order finite elements",
  author = "Arthurs, Christopher J and Bishop, Martin J and Kay, David",
  year = "2012",
  journal = "Journal of computational physics",
  number = "10",
  pages = "3946--3962",
  publisher = "Academic Press",
  volume = "231",
  doi = "10.1016/j.jcp.2012.01.037",
}
@article{Aaron_2011_1,
  title = "Multi-cellular rosettes in the mouse visceral endoderm facilitate the ordered migration of AVE cells",
  author = "G. Trichas and A. Smith and N. White and V. Wilkins and A. Moore and B. Joyce and J. Sugnaseelan and T. Rodriguez and D. Kay and R. Baker and P. Maini and S. Srinivas",
  year = "2012",
  journal = "PLoS Biology",
}
@article{Pras_2011_1,
  title = "Computational modelling of cardiac electro-physiology: explanation of the variability of results from different numerical solvers",
  author = "P. Pathmanathan and M. Bernabeu and S. Niederer and D. Gavaghan and D. Kay",
  year = "2012",
  journal = "Int. J. Numerical Methods in Biomedical Engineering",
  number = "8",
  pages = "890-903",
  volume = "28",
  doi = "10.1002/cnm.2467",
}
@phdthesis{kay2012vertex,
  title = "Vertex model approaches to epithelial tissues in developmental systems",
  author = "Kay, David",
  year = "2012",
  school = "University of Oxford",
}
@incollection{bordas2012does,
  title = "How Does Parenchymal Stress Distribution Change During Airway Remodeling?",
  author = "Bordas, Rafel and Kay, David and Grau, Vicente and Burrowes, Kelly",
  year = "2012",
  booktitle = "A66. MODELING, MECHANICS AND GAS EXCHANGE",
  pages = "A2069--A2069",
  publisher = "American Thoracic Society",
}
@incollection{kim2012predicting,
  title = "Predicting ventilation distribution: A model of coupled acinar dynamics and pressure distribution in the conducting airways",
  author = "Kim, Minsuok and Grau, Vicente and Kay, David and Burrowes, Kelly",
  year = "2012",
  booktitle = "A66. MODELING, MECHANICS AND GAS EXCHANGE",
  pages = "A2068--A2068",
  publisher = "American Thoracic Society",
}
@article{mccormick2011modelling,
  title = "Modelling left ventricular function under assist device support",
  author = "McCormick, M and Nordsletten, D and Kay, D and Smith, N",
  year = "2011",
  journal = "International Journal for Numerical Methods in Biomedical Engineering",
  number = "7",
  pages = "1073--1095",
  publisher = "John Wiley \& Sons, Ltd.",
  volume = "27",
}
@article{nordsletten2011fluid,
  title = "Fluid--solid coupling for the investigation of diastolic and systolic human left ventricular function",
  author = "Nordsletten, D and McCormick, M and Kilner, PJ and Hunter, Peter and Kay, D and Smith, NP",
  year = "2011",
  journal = "International Journal for Numerical Methods in Biomedical Engineering",
  number = "7",
  pages = "1017--1039",
  publisher = "John Wiley \& Sons, Ltd.",
  volume = "27",
}
@article{smith2011incorporating,
  title = "Incorporating chemical signalling factors into cell-based models of growing epithelial tissues",
  author = "Smith, Aaron M and Baker, Ruth E and Kay, David and Maini, Philip K",
  year = "2011",
  journal = "Journal of mathematical biology",
  pages = "1--23",
  publisher = "Springer",
}
@article{bernabeu2011scalable,
  title = "Scalable parallel preconditioners for an open source cardiac electrophysiology simulation package",
  author = "Bernabeu, Miguel O and Kay, David",
  year = "2011",
  journal = "Procedia Computer Science",
  pages = "821--830",
  publisher = "Elsevier",
  volume = "4",
}
@article{dangerfield2011boundary,
  title = "A boundary preserving numerical algorithm for the Wright-Fisher model with mutation",
  author = "Dangerfield, CE and Kay, D. and MacNamara, S. and Burrage, K.",
  year = "2011",
  journal = "BIT Numerical Mathematics",
  pages = "1--22",
  publisher = "Springer",
}
@inproceedings{dangerfield2011comparison,
  title = "Comparison of continuous and discrete stochastic ion channel models",
  author = "Dangerfield, Ciara Ellen and Kay, David and Burrage, Kevin",
  year = "2011",
  booktitle = "Engineering in Medicine and Biology Society, EMBC, 2011 Annual International Conference of the IEEE",
  organization = "IEEE",
  pages = "704--707",
}
@article{bernabeu2010stimulus,
  title = "Stimulus protocol determines the most computationally efficient preconditioner for the bidomain equations",
  author = "Bernabeu, Miguel O and Pathmanathan, Pras and Pitt-Francis, Joe and Kay, David",
  year = "2010",
  journal = "IEEE Transactions on Biomedical Engineering",
  number = "12",
  pages = "2806--2815",
  publisher = "IEEE",
  volume = "57",
}
@article{dangerfield2010stochastic,
  title = "Stochastic models and simulation of ion channel dynamics",
  author = "Dangerfield, CE and Kay, David and Burrage, Kevin",
  year = "2010",
  journal = "Procedia Computer Science",
  number = "1",
  pages = "1587--1596",
  publisher = "Elsevier",
  volume = "1",
}
@article{mccormick2010fluid,
  title = "Fluid-mechanics simulations of ventricular function under LVAD support",
  author = "McCormick, M. and Nordsletten, D. and Vecchi, A. and Kay, D. and Smith, NP",
  year = "2010",
  journal = "World Congress on Medical Physics and Biomedical Engineering, September 7-12, 2009, Munich, Germany",
  pages = "1572--1575",
  publisher = "Springer",
}
@article{nordsletten2010preconditioner,
  title = "A Preconditioner for the Finite Element Approximation to the Arbitrary Lagrangian--Eulerian Navier--Stokes Equations",
  author = "Nordsletten, David and Smith, Nicolas and Kay, David",
  year = "2010",
  journal = "SIAM Journal on Scientific Computing",
  pages = "521--543",
  volume = "32",
}
@article{nordsletten2010non,
  title = "A non-conforming monolithic finite element method for problems of coupled mechanics",
  author = "Nordsletten, David and Kay, David and Smith, Nicolas",
  year = "2010",
  journal = "Journal of Computational Physics",
  number = "20",
  pages = "7571--7593",
  publisher = "Academic Press",
  volume = "229",
}
@article{kay2010adaptive,
  title = "Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations",
  author = "Kay, David A and Gresho, Philip M and Griffiths, David F and Silvester, David J",
  year = "2010",
  journal = "SIAM Journal on Scientific Computing",
  pages = "111--128",
  volume = "32",
}
@incollection{mccormick2010fluid,
  title = "Fluid-mechanics simulations of ventricular function under LVAD support",
  author = "McCormick, M and Nordsletten, D and de Vecchi, A and Kay, D and Smith, NP",
  year = "2010",
  booktitle = "World Congress on Medical Physics and Biomedical Engineering, September 7-12, 2009, Munich, Germany",
  pages = "1572--1575",
  publisher = "Springer Berlin Heidelberg",
}
@article{kay2009color,
  title = "Color image segmentation by the vector-valued Allen--Cahn phase-field model: a multigrid solution",
  author = "Kay, David A and Tomasi, Alessandro",
  year = "2009",
  journal = "IEEE Transactions on Image Processing",
  number = "10",
  pages = "2330--2339",
  publisher = "IEEE",
  volume = "18",
}
@article{kay2009discontinuous,
  title = "Discontinuous Galerkin finite element approximation of the Cahn--Hilliard equation with convection",
  author = "Kay, David and Styles, Vanessa and S{\"u}li, Endre",
  year = "2009",
  journal = "SIAM Journal on Numerical Analysis",
  number = "4",
  pages = "2660--2685",
  publisher = "Society for Industrial and Applied Mathematics",
  volume = "47",
}
@article{lee2009coupling,
  title = "Coupling contraction, excitation, ventricular and coronary blood flow across scale and physics in the heart",
  author = "Lee, Jack and Niederer, Steven and Nordsletten, David and Le Grice, Ian and Smail, Bruce and Kay, David and Smith, Nicolas",
  year = "2009",
  journal = "Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences",
  number = "1896",
  pages = "2311--2331",
  publisher = "The Royal Society",
  volume = "367",
}
@inproceedings{mccormick2009fluid,
  title = "Fluid-mechanics simulations of ventricular function under LVAD support",
  author = "McCormick, M and Nordsletten, D and de Vecchi, A and Kay, D and Smith, NP",
  year = "2009",
  booktitle = "World Congress on Medical Physics and Biomedical Engineering, September 7-12, 2009, Munich, Germany",
  organization = "Springer Berlin Heidelberg",
  pages = "1572--1575",
}
@article{kay2008finite,
  title = "Finite element approximation of a Cahn-Hilliard-Navier-Stokes system",
  author = "Kay, David and Styles, Vanessa and Welford, Richard",
  year = "2008",
  journal = "Interfaces Free Bound",
  number = "1",
  pages = "15--43",
  publisher = "Interfaces Free Bound",
  volume = "10",
}
@article{kay2007efficient,
  title = "Efficient numerical solution of Cahn--Hilliard--Navier--Stokes fluids in 2D",
  author = "Kay, David and Welford, Richard",
  year = "2007",
  journal = "SIAM Journal on Scientific Computing",
  number = "6",
  pages = "2241--2257",
  publisher = "Society for Industrial and Applied Mathematics",
  volume = "29",
}
@article{kaysagtang,
  title = "Mathematical analysis of an integral equation arising from population dynamics",
  author = "Kay, DA and Sagheer, M and Tang, Q",
  year = "2007",
  journal = "Mathematical biosciences",
  number = "2",
  pages = "415--435",
  publisher = "Elsevier",
  volume = "210",
  doi = "10.1016/j.mbs.2007.05.013",
}
@article{kay2006block,
  title = "A Block Preconditioner for High-Order Mixed Finite Element Approximations to the Navier--Stokes Equations",
  author = "Kay, David and Lungu, Emil",
  year = "2006",
  journal = "SIAM Journal on Scientific Computing",
  number = "6",
  pages = "1867--1880",
  publisher = "Society for Industrial and Applied Mathematics",
  volume = "27",
}
@article{venables2006time,
  title = "Time-dependent annealing and deposition on substrates with repulsive interactions",
  author = "Venables, JA and DeGraffenreid, J and Kay, D and Yang, P",
  year = "2006",
  journal = "Physical Review B",
  number = "7",
  pages = "075412",
  publisher = "APS",
  volume = "74",
}
@article{kay2006multigrid,
  title = "A multigrid finite element solver for the Cahn--Hilliard equation",
  author = "Kay, David and Welford, Richard",
  year = "2006",
  journal = "Journal of Computational Physics",
  number = "1",
  pages = "288--304",
  publisher = "Elsevier",
  volume = "212",
}
@article{elliott2005finite,
  title = "Finite element analysis of a current density--electric field formulation of Bean's model for superconductivity",
  author = "Elliott, CM and Kay, D and Styles, V",
  year = "2005",
  journal = "IMA journal of numerical analysis",
  number = "1",
  pages = "182--204",
  publisher = "Oxford University Press",
  volume = "25",
}
@article{elliott2004finite,
  title = "A finite element approximation of a variational inequality formulation of Bean's model for superconductivity",
  author = "Elliott, Charles M and Kay, David and Styles, Vanessa",
  year = "2004",
  journal = "SIAM journal on numerical analysis",
  number = "3",
  pages = "1324--1341",
  publisher = "Society for Industrial and Applied Mathematics",
  volume = "42",
}
@incollection{wathen2003new,
  title = "A new preconditioner for the Oseen equations",
  author = "Wathen, Andy and Loghin, Daniel and Kay, David and Elman, Howard and Silvester, David",
  year = "2003",
  booktitle = "Numerical mathematics and advanced applications",
  pages = "979--988",
  publisher = "Springer Milan",
}
@article{kay2002preconditioner,
  title = "A preconditioner for the steady-state Navier--Stokes equations",
  author = "Kay, David and Loghin, Daniel and Wathen, Andrew",
  year = "2002",
  journal = "SIAM Journal on Scientific Computing",
  number = "1",
  pages = "237--256",
  publisher = "Society for Industrial and Applied Mathematics",
  volume = "24",
}
@techreport{bills2002health,
  title = "Health care and genesee county, New York: Economic implications of reduced hospital services",
  author = "Bills, Nelson L and Kay, David",
  year = "2002",
  institution = "Staff Paper, Cornell University, Department of Applied Economics and Management",
}
@techreport{wathen2002preconditioner,
  title = "A preconditioner for the 3D Oseen equations",
  author = "Wathen, AJ and Loghin, Daniel and Kay, David and Elman, Howard C and Silvester, David",
  year = "2002",
  institution = "Unspecified",
}
@article{wathen2001new,
  title = "A new preconditioner for the Oseen equations",
  author = "A. J. Wathen and D. Loghin and D. Kay and H. C. Elman and D. J. Silvester",
  year = "2001",
  journal = "Proceedings of the European Conference on Numerical Mathematics and Advanced Applications",
}
@article{kay2001reliability,
  title = "The reliability of local error estimators for convection--diffusion equations",
  author = "Kay, David and Silvester, David",
  year = "2001",
  journal = "IMA journal of numerical analysis",
  number = "1",
  pages = "107--122",
  publisher = "Oxford University Press",
  volume = "21",
}
@article{silvester2001efficient,
  title = "Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow",
  author = "Silvester, David and Elman, Howard and Kay, David and Wathen, Andrew",
  year = "2001",
  journal = "Journal of Computational and Applied Mathematics",
  number = "1-2",
  pages = "261--279",
  publisher = "Elsevier",
  volume = "128",
}
@article{ainsworth2000approximation,
  title = "Approximation theory for the hp-version finite element method and application to the non-linear Laplacian",
  author = "Ainsworth, Mark and Kay, David",
  year = "2000",
  journal = "Applied numerical mathematics",
  number = "4",
  pages = "329--344",
  publisher = "North-Holland",
  volume = "34",
}
@article{harrimanetal2000,
  title = "Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. ECE and EC2E mechanisms at channel microband electrodes",
  author = "Harriman, Kathryn and Gavaghan, David J and Houston, Paul and Kay, David and Suli, Endre",
  year = "2000",
  issn = "1388-2481",
  journal = "Electrochemistry communications",
  number = "8",
  pages = "576--585",
  publisher = "Elsevier",
  volume = "2",
  doi = "10.1016/S1388-2481(00)00075-8",
}
@article{berger1999stabilized,
  title = "A stabilized finite element method for nonlinear poroelasticity",
  author = "Berger, Lorenz and Bordas, Rafel and Kay, David and Tavener, Simon",
  year = "1999",
  journal = "Computer Methods in Applied Mechanics and Engineering",
  number = "3-4",
  pages = "299--317",
  volume = "174",
}
@article{ainsworth1999approximation,
  title = "The approximation theory for the p-version finite element method and application to non-linear elliptic PDEs",
  author = "Ainsworth, Mark and Kay, David",
  year = "1999",
  journal = "Numerische Mathematik",
  number = "3",
  pages = "351--388",
  publisher = "Springer Berlin/Heidelberg",
  volume = "82",
}
@article{kay1999green,
  title = "A Green's function preconditioner for the steady-state Navier-Stokes equations",
  author = "Kay, D. and Loghin, D.",
  year = "1999",
  publisher = "Unspecified",
}
@article{kay1999posteriori,
  title = "A posteriori error estimation for stabilized mixed approximations of the Stokes equations",
  author = "Kay, David and Silvester, David",
  year = "1999",
  journal = "SIAM Journal on Scientific Computing",
  number = "4",
  pages = "1321--1336",
  publisher = "Society for Industrial and Applied Mathematics",
  volume = "21",
}
@inproceedings{elman1999efficient,
  title = "Efficient preconditioning of the linearized Navier-Stokes equations",
  author = "Elman, H. and Wathen, A. and Silvester, D. and Elman, H. and Kay, D.",
  year = "1999",
  booktitle = "J. Comp. Appl. Math",
  organization = "Citeseer",
}
@techreport{kay1999green,
  title = "A Green's function preconditioner for the steady-state Navier-Stokes equations",
  author = "Kay, David and Loghin, Daniel",
  year = "1999",
  institution = "Unspecified",
}
@book{kay1997p,
  title = "The P-and Hp-Finite Element Method Applied to a Class of Non-linear Elliptic Partial Differential Equations",
  author = "Kay, D.",
  year = "1997",
  publisher = "University of Leicester",
}
@inproceedings{ainskay1,
  title = "The rate of convergence of the p-version finite element method for the non-linear Laplacian",
  author = "M. Ainsworth and D. Kay",
  year = "1996",
  booktitle = "Prague Mathematical Conference 1996",
}