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Jonathan Whiteley : Publications

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@article{MMB2022,
  title = "Modelling articular cartilage: the relative motion of two adjacent poroviscoelastic layers",
  author = "J.P.~Whiteley and C.P.~Brown and E.A.~Gaffney",
  year = "2022",
  journal = "Mathematical Medicine and Biology",
  pages = "251-298",
  volume = "39",
  doi = "10.1093/imammb/dqac005",
}
@article{MBS2021,
  title = "Model Reduction for Initial Value ODEs",
  author = "A. Ambuehl and J.P. Whiteley",
  year = "2021",
  journal = "Mathematical Biosciences",
  pages = "108618",
  volume = "337",
  doi = "10.1016/j.mbs.2021.108618",
}
@article{WhiteleyGaffney2020,
  title = "Modelling the Inclusion of Swelling Pressure in a Tissue Level Poroelastic Model of Cartilage Deformation",
  author = "J.P. Whiteley and E.A. Gaffney",
  year = "2020",
  journal = "Mathematical Medicine and Biology",
  pages = "390-429",
  volume = "37",
  doi = "10.1093/imammb/dqaa001",
}
@article{OKeily2020,
  title = "Impact on Floating Thin Elastic Sheets: a Mathematical Model",
  author = "D. O'Kiely and F. Box and O. Kodio and J. Whiteley and D. Vella",
  year = "2020",
  journal = "Physical Review Fluids",
  pages = "014003",
  volume = "5",
  doi = "10.1103/PhysRevFluids.5.014003",
}
@article{MMB2019,
  title = "An evaluation of some assumptions underpinning the bidomain equations of electrophysiology",
  author = "J.P. Whiteley",
  year = "2020",
  journal = "Mathematical Medicine and Biology",
  pages = "262-302",
  volume = "37",
  doi = "10.1093/imammb/dqz014",
}
@article{EJAM2018,
  title = "Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering",
  author = "M.J.\ Chen and L.S.\ Kimpton and J.P.\ Whiteley and M.\ Castilho and J.\ Malda and C.P.\ Please and S.L.\ Waters and H.M.\ Byrne",
  year = "2020",
  journal = "European Journal of Applied Mathematics",
  pages = "143-171",
  volume = "31",
  doi = "10.1017/S0956792518000657",
}
@article{Chen,
  title = "Identifying chondrogenesis strategies for tissue engineering of articular cartilage",
  author = "M.J. Chen and J.P. Whiteley and C.P. Please and F. Ehlicke and S.L. Waters and H.M. Byrne",
  year = "2019",
  journal = "Journal of Tissue Engineering",
  pages = "1-14",
  volume = "10",
  doi = "10.1177/2041731419842431",
}
@article{BMMB2019,
  title = "The combined impact of tissue heterogeneity and fixed charge for models of cartilage: the one-dimensional biphasic swelling model revisited",
  author = "V. Klika and J.P. Whiteley and C.P. Brown and E.A. Gaffney",
  year = "2019",
  journal = "Biomechanics and Modeling in Mechanobiology",
  pages = "953-968",
  volume = "18",
  doi = "10.1007/s10237-019-01123-7",
}
@article{Bowler2018,
  title = "Representation of Multiple Cellular Phenotypes Within Tissue-Level Simulations of Cardiac Electrophysiology",
  author = "L.A.\ Bowler and D.J.\ Gavaghan and G.R.\ Mirams and J.P.\ Whiteley",
  year = "2019",
  journal = "Bulletin of Mathematical Biology",
  pages = "7-38",
  volume = "81",
  doi = "10.1007/s11538-018-0516-1",
}
@article{Moore2018,
  title = "On the deflection of a liquid jet by an air-cushioning layer",
  author = "M.R.\ Moore and J.P.\ Whiteley and J.M.\ Oliver",
  year = "2018",
  journal = "Journal of Fluid Mechanics",
  pages = "711-751",
  volume = "846",
  doi = "doi:10.1017/jfm.2018.310",
}
@article{Roberts2018,
  title = "Predictive mathematical models for the spread and treatment of hyperoxia-induced photoreceptor degeneration in retinitis pigmentosa",
  author = "P.A.\ Roberts and E.A.\ Gaffney and J.P.\ Whiteley and P.J.\ Luthert and A.J.E.\ Foss and H.M.\ Byrne",
  year = "2018",
  journal = "Investigative Opthalmology \& Visual Science",
  pages = "1238-1249",
  volume = "59",
  doi = "10.1167/iovs.17-23177",
}
@article{Chen2017,
  title = "Inducing chondrogenesis in MSC/chondrocyte co-cultures using exogenous TGF-β: a mathematical model",
  author = "M.J.\ Chen and J.P.\ Whiteley and C.P.\ Please and A.\ Schwab and F.\ Ehlicke and S.L.\ Waters and H.M.\ Byrne",
  year = "2018",
  journal = "Journal of Theoretical Biology",
  pages = "1-13",
  volume = "439",
  doi = "10.1016/j.jtbi.2017.11.024",
}
@article{JAP2017,
  title = "Potential for non-invasive assessment of lung inhomogeneity using highly precise, highly time-resolved, measurements of gas exchange",
  author = "J.E.\ Mountain and P.\ Santer and D.P.\ O'Neill and N.M.J.\ Smith and L.\ Ciaffoni and J.H.\ Couper and G.A.D.\ Ritchie and G.\ Hancock and J.P.\ Whiteley and P.A.\ Robbins",
  year = "2018",
  journal = "Journal of Applied Physiology",
  pages = "615-631",
  volume = "124",
  doi = "10.1152/japplphysiol.00745.2017",
}
@article{MMB2017,
  title = "Pattern formation in multiphase models of chemotactic cell aggregation",
  author = "J.E.F. Green and J.P. Whiteley and J.M. Oliver and H.M. Byrne and S.L. Waters",
  year = "2018",
  journal = "Mathematical Medicine and Biology",
  pages = "319-346",
  volume = "35",
  doi = "10.1093/imammb/dqx005",
}
@book{Springer2017,
  title = "Finite Element Methods, A Practical Guide",
  author = "Jonathan Whiteley",
  year = "2017",
  publisher = "Springer",
  doi = "10.1007/978-3-319-49971-0",
}
@article{MathBiosci2017,
  title = "A mathematical model for cell infiltration and proliferation in a chondral defect",
  author = "L.S.\ Kimpton and A.\ Schwab and F.\ Ehlicke and S.L.\ Waters and C.P.\ Please and J.P.\ Whiteley and H.M.\ Byrne",
  year = "2017",
  journal = "Mathematical Biosciences",
  pages = "46-56",
  volume = "292",
  doi = "10.1016/j.mbs.2017.07.008",
}
@article{CompMech2017,
  title = "A preconditioner for the finite element computation of incompressible, nonlinear elastic deformations",
  author = "J.P.\ Whiteley",
  year = "2017",
  journal = "Computational Mechanics",
  pages = "683-692",
  volume = "60",
  doi = "10.1007/s00466-017-1430-3",
}
@article{ChapmanL2017,
  title = "Mathematical modelling of cell layer growth in a hollow fibre bioreactor",
  author = "L.A.C.\ Chapman and J.P.\ Whiteley and H.M.\ Byrne and S.L.\ Waters and R.J.\ Shipley",
  year = "2017",
  journal = "Journal of Theoretical Biology",
  pages = "36-56",
  volume = "418",
  doi = "10.1016/j.jtbi.2017.01.016",
}
@article{JEngMath2017,
  title = "Kinetic effects regularize the mass-flux singularity at the contact line of a thin evaporating drop",
  author = "M.A.\ Saxton and D.\ Vella and J.P.\ Whiteley and J.M.\ Oliver",
  year = "2017",
  journal = "Journal of Engineering Mathematics",
  pages = "47-73",
  volume = "106",
  doi = "10.1007/s10665-016-9892-4",
}
@article{JFM2016,
  title = "On thin evaporating drops: When is the $d^{2}$-law valid?",
  author = "M.A.\ Saxton and J.P.\ Whiteley and D.\ Vella and J.M.\ Oliver",
  year = "2016",
  journal = "Journal of Fluid Mechanics",
  pages = "134-167",
  volume = "792",
  doi = "10.1017/jfm.2016.76",
}
@article{Nessler2016,
  title = "The influence of hydrostatic pressure on tissue engineered bone development",
  author = "K.H.L.\ Nessler and J.R.\ Henstock and A.J.\ El Haj and S.L \ Waters and J.P.\ Whiteley and J.M.\ Osborne",
  year = "2016",
  journal = "Journal of Theoretical Biology",
  pages = "149-159",
  volume = "394",
  doi = "10.1016/j.jtbi.2015.12.020",
}
@article{PhysicaD2015,
  title = "Approaches to myosin modelling in a two--phase model for cell motility",
  author = "L.S.\ Kimpton and J.P.\ Whiteley and S.L.\ Waters and J.M.\ Oliver",
  year = "2016",
  journal = "Physica D",
  pages = "34-49",
  volume = "318-319",
  doi = "10.1016/j.physd.2015.10.003",
}
@article{JMB2015,
  title = "An investigation of the influence of extracellular matrix anisotropy and cell--matrix interactions on tissue architecture",
  author = "R.J.\ Dyson and J.E.F.\ Green and J.P.\ Whiteley and H.M.\ Byrne",
  year = "2016",
  journal = "Journal of Mathematical Biology",
  pages = "1775-1809",
  volume = "72",
  doi = "10.1007/s00285-015-0927-7",
}
@article{Whiteley2015,
  title = "A discontinuous Galerkin finite element method for multiphase viscous flow",
  author = "J.P.\ Whiteley",
  year = "2015",
  journal = "SIAM Journal on Scientific Computing",
  pages = "B591-B612",
  volume = "37",
  doi = "10.1137/14098497X",
}
@article{Oliver2015,
  title = "On contact--line dynamics with mass transfer",
  author = "J.M.\ Oliver and J.P.\ Whiteley and M.A.\ Saxton and D.\ Vella and V.S.\ Zubkov and J.R.\ King",
  year = "2015",
  journal = "European Journal of Applied Mathematics",
  pages = "671--719",
  volume = "26",
  doi = "10.1017/S0956792515000364",
}
@article{Vella2015,
  title = "Inertial rise of a meniscus on a vertical cylinder",
  author = "D.\ O'Kiely and J.P.\ Whiteley and J.M.\ Oliver and D.\ Vella",
  year = "2015",
  journal = "Journal of Fluid Mechanics",
  volume = "768",
  doi = "10.1017/jfm.2015.89",
}
@article{TissueEngineering,
  title = "Evaluation of the Growth Environment of a Hydrostatic Force Bioreactor for Preconditioning of Tissue-Engineered Constructs",
  author = "Y.\ Reinwald and K.H.L.\ Leonard and J.R.\ Henstock and J.P.\ Whiteley and J.M.\ Osborne and S.L.\ Waters and P.\ Levesque and A.J.\ El Haj",
  year = "2015",
  journal = "Tissue Engineering Part C",
  number = "1",
  pages = "1-14",
  volume = "21",
  doi = "10.1089/ten.tec.2013.0476",
}
@article{Kimpton2014,
  title = "On a poroviscoelastic model for cell crawling",
  author = "L.S.\ Kimpton and J.P.\ Whiteley and S.L.\ Waters and J.M.\ Oliver",
  year = "2015",
  journal = "Journal of Mathematical Biology",
  pages = "133-171",
  volume = "70",
  doi = "10.1007/s00285-014-0755-1",
}
@article{PlosOne2014,
  title = "Optimising cell aggregate expansion in a perfused hollow fibre bioreactor via mathematical modelling",
  author = "L.A.C.\ Chapman and R.J.\ Shipley and J.P.\ Whiteley and M.J.\ Ellis and H.M.\ Byrne and S.L.\ Waters",
  year = "2014",
  journal = "PLoS ONE",
  pages = "e105813",
  url = "http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0105813",
  volume = "9",
  doi = "10.1371/journal.pone.0105813",
}
@article{IMA2014,
  title = "The effect of membrane-regulated actin polymerization on a two-phase flow model for cell motility",
  author = "L.S.\ Kimpton and J.P.\ Whiteley and S.L.\ Waters and J.M.\ Oliver",
  year = "2014",
  journal = "IMA Journal of Applied Mathematics",
  pages = "603-635",
  volume = "79",
  doi = "10.1093/imamat/hxu035",
}
@article{2014IJNME,
  title = "Error estimation and adaptivity for incompressible hyperelasticity",
  author = "J.P.\ Whiteley and S.J.\ Tavener",
  year = "2014",
  journal = "International Journal for Numerical Methods in Engineering",
  pages = "313-332",
  volume = "99",
  doi = "10.1002/nme.4677",
}
@article{Maybank2014,
  title = "Automatic simplification of systems of reaction--diffusion equations by \textit{a posteriori} analysis",
  author = "P.J.\ Maybank and J.P.\ Whiteley",
  year = "2014",
  journal = "Mathematical Biosciences",
  pages = "146-157",
  volume = "248",
  doi = "10.1016/j.mbs.2013.12.011",
}
@article{2014Bruce,
  title = "Modelling the effect of gap junctions on tissue--level cardiac electrophysiology",
  author = "D. Bruce, and P. Pathmanathan, and J.P. Whiteley",
  year = "2014",
  journal = "Bulletin of Mathematical Biology",
  pages = "431-454",
  volume = "76",
  doi = "10.1007/s11538-013-9927-1",
}
@article{2014Bell,
  title = "Heat or mass transfer at low Péclet number for Brinkman and Darcy flow round a sphere",
  author = "C.G. Bell, and H.M. Byrne, and J.P. Whiteley, and S.L. Waters",
  year = "2014",
  journal = "International Journal of Heat and Mass Transfer",
  pages = "247-258",
  volume = "68",
  doi = "10.1016/j.ijheatmasstransfer.2013.09.017",
}
@article{Davit,
  title = "Homogenization via formal multiscale asymptotics and volume averaging: how do the two techniques compare?",
  author = "Y. Davit,and C.G. Bell,and H.M. Byrne,and L.A.C. Chapman,and L.S. Kimpton,and G.E. Lang,and K.H.L. Leonard, and J.M. Oliver, and N.C. Pearson, and R.J. Shipley, and S.L. Waters, and J.P. Whiteley, and B.D. Wood, and M. Quintard",
  year = "2013",
  journal = "Advances in Water Resources",
  pages = "178-206",
  volume = "62",
  doi = "10.1016/j.advwatres.2013.09.006",
}
@article{6339,
  title = "Multiple travelling wave solutions in a minimal model for cell motility",
  author = "L.S.\ Kimpton, and J.P.\ Whiteley, and S.L.\ Waters, and J.R.\ King, and J.M.\ Oliver",
  year = "2013",
  journal = "Mathematical Medicine and Biology",
  pages = "241-272",
  volume = "30",
  doi = "10.1093/imammb/dqs023",
}
@article{6338,
  title = "Heat or mass transfer from a sphere in Stokes flow at low Peclet number",
  author = "C.G.\ Bell, and H.M.\ Byrne, and J.P.\ Whiteley, and S.L.\ Waters",
  year = "2013",
  journal = "Applied Mathematics Letters",
  pages = "392-396",
  volume = "26",
  doi = "10.1016/j.aml.2012.10.010",
}
@book{Book2012,
  title = "Guide to Scientific Computing in C++",
  author = "Joe Pitt-Francis and Jonathan Whiteley",
  year = "2012",
  booktitle = "Guide to Scientific Computing in C++",
  isbn = "978-1-4471-2735-2",
  issn = "1863-7310",
  lccn = "2012931858",
  publisher = "Springer",
  series = "Undergraduate Topics in Computer Science",
  url = "http://www.springer.com/computer/swe/book/978-1-4471-2735-2?changeHeader",
  doi = "10.1007/978-1-4471-2736-9",
}
@article{2011Multiphysics,
  title = "Error bounds on block Gauss--Seidel solutions of coupled multiphysics problems",
  author = "J.P.\ Whiteley, and K.\ Gillow, and S.J.\ Tavener and A.C.\ Walter",
  year = "2011",
  journal = "International Journal for Numerical Methods in Engineering",
  pages = "1219-1237",
  volume = "88",
  doi = "10.1002/nme.3217",
}
@article{IJNMBE2011a,
  title = "The significant effect of the choice of ionic current integration method in cardiac electrophysiological simulations",
  author = "P.\ Pathmanathan, G.R.\ Mirams, J.A.\ Southern, and J.P.\ Whiteley",
  year = "2011",
  journal = "International Journal for Numerical Methods in Biomedical Engineering",
  pages = "1751--1770",
  volume = "27",
  doi = "10.1002/cnm.1438",
}
@article{OzzyLongWavelength,
  title = "The Influence of Bioreactor Geometry and the Mechanical Environment on Engineered Tissues",
  author = "J. M. Osborne and R. D. O'Dea and J. P. Whiteley and H. M. Byrne and S. L. Waters",
  year = "2010",
  journal = "Journal of Biomechanical Engineering",
  month = "May",
  number = "5",
  pages = "051006",
  volume = "132",
  doi = "10.1115/1.4001160",
}
@article{3940,
  title = "A numerical guide to the solution of the bidomain equations of cardiac electrophysiology",
  author = "Pathmanathan, Pras and Bernabeu, Miguel O and Bordas, Rafel and Cooper, Jonathan and Garny, Alan and Pitt-Francis, Joe M and Whiteley, Jonathan P and Gavaghan, David J",
  year = "2010",
  journal = "Progress in biophysics and molecular biology",
  number = "2-3",
  pages = "136--155",
  publisher = "Pergamon",
  volume = "102",
  doi = "10.1016/j.pbiomolbio.2010.05.006",
}
@article{Whiteley 2010i,
  title = "A numerical method for the multiphase viscous flow equations",
  author = "J.M. Osborne, and J.P. Whiteley",
  year = "2010",
  journal = "Computer Methods in Applied Mechanics and Engineering",
  pages = "3402-3417",
  volume = "199",
  doi = "10.1016/j.cma.2010.07.011",
}
@article{Whiteley 2010h,
  title = "Non-local models for the formation of hepatocyte-stellate cell aggregates",
  author = "J.E.F. Green, and S.L. Waters, and J.P. Whiteley, and L. Edelstein-Keshet, and K.M. Shakesheff, and H.M. Byrne",
  year = "2010",
  journal = "Journal of Theoretical Biology",
  pages = "106-120",
  volume = "267",
  doi = "10.1016/j.jtbi.2010.08.013",
}
@article{Whiteley 2010g,
  title = "Cardiac electromechanics: the effect of contraction model on the mathematical problem and accuracy of the numerical scheme",
  author = "P. Pathmanathan, and S.J. Chapman, and D.J. Gavaghan, and J.P. Whiteley",
  year = "2010",
  journal = "Quarterly Journal of Mechanics and Applied Mathematics",
  number = "3",
  pages = "375-399",
  volume = "63",
  doi = "10.1093/qjmam/hbq014",
}
@article{Whiteley 2010e,
  title = "A posteriori error analysis for the use of lookup tables in cardiac electrophysiology simulations",
  author = "J. Cooper, and J.P. Whiteley, and D.J. Gavaghan",
  year = "2010",
  journal = "SIAM Journal on Scientific Computing",
  number = "4",
  pages = "2167-2189",
  volume = "32",
  doi = "10.1137/090773064",
}
@article{Whiteley 2010d,
  title = "Modeling alveolar volume changes during periodic breathing in heterogeneously ventilated lungs",
  author = "S.-J. Dunn, and J.P. Whiteley",
  year = "2010",
  journal = "Annals of Biomedical Engineering",
  number = "9",
  pages = "2988-2999",
  volume = "38",
  doi = "10.1007/s10439-010-0034-2",
}
@article{Whiteley 2010c,
  title = "Model reduction using a posteriori analysis",
  author = "J.P. Whiteley",
  year = "2010",
  journal = "Mathematical Biosciences",
  pages = "44-52",
  volume = "225",
  doi = "10.1016/j.mbs.2010.01.008",
}
@article{Whiteley 2010b,
  title = "Computational and Numerical Methods for the Accurate and Efficient Solution of the Bidomain Equations",
  author = "J.P. Whiteley",
  year = "2010",
  journal = "Mathematics In Industry",
  pages = "377-382",
  volume = "15",
  doi = "10.1007/978-3-642-12110-4_57",
}
@article{Whiteley 2010a,
  title = "A Note on the Effect of the Choice of Weak Form on GMRES Convergence for Incompressible Nonlinear Elasticity Problems",
  author = "P. Pathmanathan, and J.P. Whiteley, and S.J. Chapman and D.J. Gavaghan",
  year = "2010",
  journal = "Journal of Applied Mechanics",
  pages = "034501",
  volume = "77",
  doi = "10.1115/1.4000414",
}
@article{Chaste2,
  title = "Chaste: Incorporating a Novel Multiscale Spatial and Temporal Algorithm into a Large Scale Open Source Library",
  author = "Bernabeu, M.O. and Bordas, R. and Pathmanathan, P. and Pitt-Francis, J. and Cooper, J. and Garny, A. and Gavaghan, D.J. and Rodriguez, B. and Southern, J.A. and Whiteley, J.P.",
  year = "2009",
  journal = "Phil Trans Roy Soc (A)",
  month = "May",
  number = "1895",
  pages = "1907-1930",
  volume = "367",
  doi = "10.1098/rsta.2008.0309",
}
@article{ChasteCPC09,
  title = "Chaste: a test-driven approach to software development for biological modelling",
  author = "Pitt-Francis, Joe and Pathmanathan, Pras and Bernabeu, Miguel O and Bordas, Rafel and Cooper, Jonathan and Fletcher, Alexander G and Mirams, Gary R and Murray, Philip and Osborne, James M and Walter, Alex and others",
  year = "2009",
  journal = "Computer Physics Communications",
  number = "12",
  pages = "2452--2471",
  publisher = "North-Holland",
  volume = "180",
  doi = "10.1016/j.cpc.2009.07.019",
}
@article{Whiteley2009d,
  title = "Solving the Coupled System Improves Computational Efficiency of the Bidomain Equations",
  author = "J.A. Southern, and G. Plank, and E.J. Vigmond, and J.P. Whiteley",
  year = "2009",
  journal = "IEEE Transactions on Biomedical Engineering",
  number = "10",
  pages = "2404-2412",
  volume = "56",
  doi = "10.1109/TBME.2009.2022548",
}
@article{Whiteley2009c,
  title = "A Comparison of Numerical Methods used for Finite Element Modelling of Soft Tissue Deformation",
  author = "P. Pathmanathan, and D.J. Gavaghan, and J.P. Whiteley",
  year = "2009",
  journal = "Journal of Strain Analysis",
  pages = "391-406",
  volume = "44",
  doi = "10.1243/03093247JSA482",
}
@article{Whiteley2009a,
  title = "Discontinuous Galerkin Finite Element Methods for Incompressible Non-linear Elasticity",
  author = "J.P. Whiteley",
  year = "2009",
  journal = "Computer Methods in Applied Mechanics and Engineering",
  pages = "3464-3478",
  volume = "198",
  doi = "10.1016/j.cma.2009.07.002",
}
@article{3269,
  title = "A Numerical Method for Cardiac Mechanoelectric Simulations",
  author = "P. Pathmanathan and J.P. Whiteley",
  year = "2009",
  journal = "Annals of Biomedical Engineering",
  pages = "860-873",
  volume = "37(5)",
  doi = "10.1007/s10439-009-9663-8",
}
@article{cancerchaste1,
  title = "An integrative computational model for intestinal tissue renewal",
  author = "Van Leeuwen and Ingeborg MM and Mirams, GR and Walter, Alex and Fletcher, A and Murray, P and Osborne, J and Varma, S and Young, SJ and Cooper, J and Doyle, B and others",
  year = "2009",
  journal = "Cell proliferation",
  number = "5",
  pages = "617--636",
  publisher = "Blackwell Publishing Ltd Oxford, UK",
  volume = "42",
  doi = "10.1111/j.1365-2184.2009.00627.x",
}
@article{Whiteley2008d,
  title = "An Efficient Technique for the Numerical Solution of the Bidomain equations",
  author = "J.P. Whiteley",
  year = "2008",
  journal = "Annals of Biomedical Engineering",
  number = "8",
  pages = "1398-1408",
  volume = "36",
  doi = "10.1007/s10439-008-9513-0",
}
@article{Chaste.08:Chaste,
  title = "Chaste: using agile programming techniques to develop computational biology software",
  author = "Pitt-Francis, Joe and Bernabeu, Miguel O and Cooper, Jonathan and Garny, Alan and Momtahan, Lee and Osborne, James and Pathmanathan, Pras and Rodriguez, Blanca and Whiteley, Jonathan P and Gavaghan, David J",
  year = "2008",
  journal = "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences",
  number = "1878",
  pages = "3111--3136",
  publisher = "The Royal Society London",
  volume = "366",
  doi = "10.1098/rsta.2008.0096",
}
@article{3270,
  title = "Predicting tumor location by modeling the deformation of the breast",
  author = "P. Pathmanathan, and D.J. Gavaghan, and J.P. Whiteley, and S.J. Chapman and J.M. Brady",
  year = "2008",
  journal = "IEEE Transactions on Biomedical Engineering",
  pages = "2471-2480",
  volume = "55(10)",
  doi = "10.1109/TBME.2008.925714",
}
@article{2008a,
  title = "Multi-scale computational modelling in biology and physiology",
  author = "J.A. Southern, and J.M. Pitt-Francis, and J.P. Whiteley, and D. Stokeley, and H. Kobashi, and R. Nobes, and Y. Kadooka, and D.J. Gavaghan",
  year = "2008",
  journal = "Progress in Biophysics and Molecular Biology",
  pages = "60-89",
  volume = "96",
  doi = "10.1016/j.pbiomolbio.2007.07.019",
}
@article{2007_4,
  title = "Non--linear modelling of breast tissue",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and S.J.\ Chapman and J.M.\ Brady",
  year = "2007",
  journal = "Mathematical Medicine and Biology",
  pages = "327--345",
  volume = "24",
  doi = "10.1093/imammb/dqm006",
}
@article{2007_2,
  title = "Soft tissue modelling of cardiac fibres for use in coupled mechano--electric simulations",
  author = "J.P.\ Whiteley and M.J.\ Bishop and D.J.\ Gavaghan",
  year = "2007",
  journal = "Bulletin of Mathematical Biology",
  pages = "2199--2225",
  volume = "69",
  doi = "10.1007/s11538-007-9213-1",
}
@article{2007_3,
  title = "Physiology driven adaptivity for the numerical solution of the bidomain equations",
  author = "J.P.\ Whiteley",
  year = "2007",
  journal = "Annals of Biomedical Engineering",
  pages = "1510--1520",
  volume = "35",
  doi = "10.1007/s10439-007-9337-3",
}
@article{2007_1,
  title = "Synchronization between arterial blood pressure and cerebral oxyhaemoglobin concentration investigated by wavelet cross--correlation",
  author = "A.B.\ Rowley and S.J.\ Payne and I.\ Tachtsidis and M.J.\ Ebden and J.P.\ Whiteley and D.J.\ Gavaghan and L.\ Tarassenko and M.\ Smith and C.E.\ Elwell and D.T.\ Delpy",
  year = "2007",
  journal = "Physiological Measurement",
  pages = "161--173",
  volume = "28",
  doi = "10.1088/0967-3334/28/2/005",
}
@article{2006_3,
  title = "An efficient numerical technique for the solution of the monodomain and bidomain equations",
  author = "J.P.\ Whiteley",
  year = "2006",
  journal = "IEEE Transactions on Biomedical Engineering",
  pages = "2139--2147",
  volume = "53",
  doi = "10.1109/TBME.2006.879425",
}
@article{2006_2,
  title = "Some factors affecting pulmonary oxygen transport",
  author = "J.P.\ Whiteley",
  year = "2006",
  journal = "Mathematical Biosciences",
  pages = "115--132",
  volume = "202",
  doi = "10.1016/j.mbs.2006.03.014",
}
@article{2006_1,
  title = "Synthesis of voltage--sensitive optical signals: application to panoramic optical mapping",
  author = "M.J.\ Bishop and B.\ Rodriguez and J.\ Eason and J.P.\ Whiteley and N.A.\ Trayanova and D.J.\ Gavaghan",
  year = "2006",
  journal = "Biophysical Journal",
  pages = "2938--2945",
  volume = "90",
  doi = "10.1529/biophysj.105.076505",
}
@article{2005_1,
  title = "Oxygen transport to muscle tissue where regions of low oxygen tension exist",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2005",
  journal = "Mathematical and Computer Modelling",
  pages = "1113--1122",
  volume = "42",
  doi = "10.1016/j.mcm.2004.09.009",
}
@article{2005_2,
  title = "The solution of inverse non--linear elasticity problems that arise when locating breast tumours",
  author = "J.P.\ Whiteley",
  year = "2005",
  journal = "Journal of Theoretical Medicine",
  pages = "143--149",
  volume = "6",
  doi = "10.1080/10273660500148606",
}
@inproceedings{2004_1,
  title = "Predicting tumour location by simulating large deformations of the breast using a 3D finite element model and nonlinear elasticity",
  author = "P. Pathmanathan and D.J. Gavaghan and J.P. Whiteley and J.M. Brady and M.P. Nash and P.F. Nielsen and V. Rajagopal",
  year = "2004",
  booktitle = "Proceedings of MICCAI 2004",
  pages = "217--224",
  series = "Lecture Notes in Computer Science",
  volume = "3217",
}
@article{2003_5,
  title = "Periodic breathing induced by arterial oxygen partial pressure oscillations",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2003",
  journal = "Mathematical Medicine and Biology",
  pages = "205--224",
  volume = "20",
}
@article{2003_4,
  title = "Mathematical modelling of pulmonary gas transport",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2003",
  journal = "Journal of Mathematical Biology",
  pages = "79--99",
  volume = "47",
  doi = "10.1007/s00285-003-0196-8",
}
@article{2003_2,
  title = "The effect of diffusion in the respiratory tree on the alveolar amplitude response technique ({AART})",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2003",
  journal = "Respiratory Physiology \& Neurobiology",
  pages = "81--96",
  volume = "137",
  doi = "10.1016/S1569-9048(03)00124-1",
}
@article{2003_3,
  title = "Efficient computations of gas transport in the respiratory tree",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan",
  year = "2003",
  journal = "Mathematical Medicine and Biology",
  pages = "91--104",
  volume = "20",
}
@article{2003_1,
  title = "A tidal ventilation model for oxygenation in respiratory failure",
  author = "J.P.\ Whiteley and A.D.\ Farmery and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2003",
  journal = "Respiratory Physiology \& Neurobiology",
  pages = "77--88",
  volume = "136",
  doi = "10.1016/S1569-9048(03)00066-1",
}
@article{2002_2,
  title = "The effects of ventilation pattern on carbon dioxide transfer in three computer models of the airways",
  author = "J.P.\ Whiteley and M.J.\ Turner and A.B.\ Baker and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2002",
  journal = "Respiratory Physiology \& Neurobiology",
  pages = "269--284",
  volume = "131",
}
@article{2002_3,
  title = "Mathematical modelling of oxygen transport to tissue",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2002",
  journal = "Journal of Mathematical Biology",
  pages = "503--522",
  volume = "44",
  doi = "10.1007/s002850200135",
}
@article{2002_1,
  title = "Variation of venous admixture, {SF}$_{6}$ shunt, {P}{\small a}$_{\text{O}_{2}}$, and the {P}{\footnotesize a}$_{\text{O}_{2}}/${F{\small I}}$_{\text{O}_{2}}$ ratio with {F{\footnotesize I}}$_{\text{O}_{2}}$",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2002",
  journal = "British Journal of Anaesthesia",
  pages = "771--778",
  volume = "88",
}
@article{2001_3,
  title = "Some factors affecting oxygen uptake by red blood cells in the pulmonary capillaries",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2001",
  journal = "Mathematical Biosciences",
  pages = "153--172",
  volume = "169",
}
@article{2001_1,
  title = "Modelling inert gas exchange in tissue and mixed--venous blood return to the lungs",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2001",
  journal = "Journal of Theoretical Biology",
  pages = "431--443",
  volume = "209",
  doi = "10.1006/jtbi.2001.2278",
}
@article{2001_2,
  title = "A mathematical model of electron transfer within the mitochondrial respiratory cytochromes",
  author = "A.D.\ Farmery and J.P.\ Whiteley",
  year = "2001",
  journal = "Journal of Theoretical Biology",
  pages = "197--207",
  volume = "213",
  doi = "10.1006/jtbi.2001.2411",
}
@article{2000_2,
  title = "A tidal breathing model of the inert gas sinewave technique for inhomogeneous lungs",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2000",
  journal = "Respiration Physiology",
  pages = "65--83",
  volume = "124",
}
@article{2000_1,
  title = "The effect of inspired oxygen concentration on the ventilation--perfusion distribution in inhomogeneous lungs",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "2000",
  journal = "Journal of Theoretical Biology",
  pages = "575--585",
  volume = "204",
  doi = "10.1006/jtbi.2000.2036",
}
@inproceedings{2000_3,
  title = "Discovering the structure of partial differential equations from example behavior",
  author = "L.\ Todorovski and S.\ Dzeroski and A.\ Srinivasan and J.P.\ Whiteley and D.J.\ Gavaghan",
  year = "2000",
  booktitle = "Proceedings of the International Conference on Machine Learning, Stanford, USA",
  pages = "991--998",
}
@article{1999_2,
  title = "The effect of the width of the ventilation--perfusion distribution on arterial blood oxygen content",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "1999",
  journal = "Journal of Theoretical Biology",
  pages = "271--279",
  volume = "201",
}
@article{1999_1,
  title = "A tidal breathing model for the multiple inert gas elimination technique",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "1999",
  journal = "Journal of Applied Physiology",
  pages = "161--169",
  volume = "87",
}
@article{1998_1,
  title = "Pulmonary blood flow measured by inspiratory inert gas concentration forcing oscillations",
  author = "E.M.\ Williams and M.C.\ Sainsbury and L.\ Sutton and L.\ Xiong and A.M.S.\ Black and J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "1998",
  journal = "Respiration Physiology",
  pages = "47--56",
  volume = "113",
}
@article{1998_2,
  title = "A mathematical evaluation of the multiple breath nitrogen washout ({MBNW}) technique and the multiple inert gas elimination technique ({MIGET})",
  author = "J.P.\ Whiteley and D.J.\ Gavaghan and C.E.W.\ Hahn",
  year = "1998",
  journal = "Journal of Theoretical Biology",
  pages = "517--539",
  volume = "194",
}