FERGUSON, ALISON C., PEARCE, SIMON, BAND, LEAH R., YANG, CAIYUN, FERJENTSIKOVA, IVANA, KING, JOHN, YUAN, ZHENG, ZHANG, DABING and WILSON, ZOE A., 2017. Biphasic regulation of the transcription factor ABORTED MICROSPORES (AMS) is essential for tapetum and pollen development in Arabidopsis NEW PHYTOLOGIST. 213(2), 778-790 CHUGUNOVA, MARINA, KING, JOHN R. and TARANETS, ROMAN M., 2017. The interface dynamics of a surfactant drop on a thin viscous film EUROPEAN JOURNAL OF APPLIED MATHEMATICS. 28(4), 656-686 MELLOR, NATHAN, ADIBI, MILAD, EL-SHOWK, SEDEER, DE RYBEL, BERT, KING, JOHN, MAHONEN, ARI PEKKA, WEIJERS, DOLF and BISHOPP, ANTHONY, 2017. Theoretical approaches to understanding root vascular patterning: a consensus between recent models JOURNAL OF EXPERIMENTAL BOTANY. 68(1), 5-16 MENDIONDO GM, GIBBS DJ, SZURMAN-ZUBRZYCKA M, KORN A, MARQUEZ J, SZAREJKO I, MALUSZYNSKI M, KING J, AXCELL B, SMART K, CORBINEAU F and HOLDSWORTH MJ, 2016. Enhanced waterlogging tolerance in barley by manipulation of expression of the N-end rule pathway E3 ligase PROTEOLYSIS6. Plant Biotechnology Journal. 40(1), 40-50 KING, J. R., 2016. Asymptotic analysis of a doubly nonlinear diffusion equation NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 138, 253-276 BROWN LE, MIDDLETON AM, KING JR and LOOSE M, 2016. Multicellular Mathematical Modelling of Mesendoderm Formation in Amphibians. Bulletin of mathematical biology. 78(3), 436-67 CHERNIHA, ROMAN, KING, JOHN R. and KOVALENKO, SERGII, 2016. Lie symmetry properties of nonlinear reaction-diffusion equations with gradient-dependent diffusivity COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. 36, 98-108 DASKALOPOULOS, PANAGIOTA, DEL PINO, MANUEL, KING, JOHN and SESUM, NATASA, 2016. Type I ancient compact solutions of the Yamabe flow NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 137, 338-356 DEAN, A. D., MATTHEWS, P. C., COX, S. M. and KING, J. R., 2015. Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. 14(1), 481-521 RICHARDSON, G. and KING, J. R., 2015. The Hele-Shaw injection problem for an extremely shear-thinning fluid EUROPEAN JOURNAL OF APPLIED MATHEMATICS. 26, 563-594 OLIVER, J. M., WHITELEY, J. P., SAXTON, M. A., VELLA, D., ZUBKOV, V. S. and KING, J. R., 2015. On contact-line dynamics with mass transfer EUROPEAN JOURNAL OF APPLIED MATHEMATICS. 26, 671-719 PEARCE, SIMON, FERGUSON, ALISON, KING, JOHN and WILSON, ZOE A., 2015. FlowerNet: A Gene Expression Correlation Network for Anther and Pollen Development PLANT PHYSIOLOGY. 167(4), 1717-U923 BAND L, WELLS DM, FOZARD JA, GHETIU T, FRENCH AP, POUND MP, WILSON MH, YU L, LI W, HIJAZI H, OH J, PEARCE S, PEREZ-AMADOR MA, YUN J, KRAMER E, ALONSO JM, GODIN G, VERNOUX T, HODGMAN TC, PRIDMORE TP, SWARUP R, KING JR and BENNETT MJ, 2014. Systems Analysis of auxin transport in the Arabidopsis root apex Plant Cell. PEARSON, T., WATTIS, J. A. D., KING, J. R., MACDONALD, I. A. and MAZZATTI, D. J., 2014. A Mathematical Model of the Human Metabolic System and Metabolic Flexibility BULLETIN OF MATHEMATICAL BIOLOGY. 76(9), 2091-2121 DUNSTER, J. L., BYRNE, H. M. and KING, J. R., 2014. The Resolution of Inflammation: A Mathematical Model of Neutrophil and Macrophage Interactions BULLETIN OF MATHEMATICAL BIOLOGY. 76(8), 1953-1980 BAND LR, WELLS DM, FOZARD JA, GHETIU T, FRENCH AP, POUND MP, WILSON MH, YU L, LI W, HIJAZI HI, OH J, PEARCE SP, PEREZ-AMADOR MA, YUN J, KRAMER E, ALONSO JM, GODIN C, VERNOUX T, HODGMAN TC, PRIDMORE TP, SWARUP R, KING JR and BENNETT MJ, 2014. Systems analysis of auxin transport in the Arabidopsis root apex. The Plant cell. 26(3), 862-75 FILA, M., KING, J. R. and WINKLER, M., 2014. Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. 90, 167-183 TARANETS, ROMAN M. and KING, JOHN R., 2014. On an unstable thin-film equation in multi-dimensional domains NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. 21(1), 105-128 FOZARD J.A, KING J.R and BENNETT M.J, 2013. Modelling auxin efflux carrier phosphorylation and localization. Journal of Theoretical Biology. 319, 34-49 MURARO, DANIELE, BYRNE, HELEN, KING, JOHN and BENNETT, MALCOLM, 2013. The role of auxin and cytokinin signalling in specifying the root architecture of Arabidopsis thaliana JOURNAL OF THEORETICAL BIOLOGY. 317, 71-86 KOUROUNIOTI, REA L. ANTONIOU, BAND, LEAH R., FOZARD, JOHN A., HAMPSTEAD, ANTHONY, LOVRICS, ANNA, MOYROUD, EDWIGE, VIGNOLINI, SILVIA, KING, JOHN R., JENSEN, OLIVER E. and GLOVER, BEVERLEY J., 2013. Buckling as an origin of ordered cuticular patterns in flower petals JOURNAL OF THE ROYAL SOCIETY INTERFACE. 10(80), JABBARI S, STEINER E, HEAP JT, WINZER K, MINTON NP and KING JR, 2013. The putative influence of the agr operon upon survival mechanisms used by Clostridium acetobutylicum. Mathematical Biosciences. 243(2), 223-39 LEMON, GREG and KING, JOHN R., 2013. FUNCTIONAL DIFFERENTIAL EQUATION MODEL FOR BIOLOGICAL CELL SORTING DUE TO DIFFERENTIAL ADHESION MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. 23(1), D. MURARO, U. VOSS, M. WILSON, M. BENNETT, H. BYRNE, I. DE SMET, C. HODGMAN and J. KING, 2013. Inference of the Genetic Network Regulating Lateral Root Initiation in Arabidopsis thalia IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS. 10(1), 50-60 BOWEN, MARK and KING, JOHN R., 2013. Dynamics of a viscous thread on a non-planar substrate JOURNAL OF ENGINEERING MATHEMATICS. 80(1), 39-62 O'DEA, R. D. and KING, J. R., 2013. The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA. 30(2), 95-+ MILLAT, THOMAS, JANSSEN, HOLGER, THORN, GRAEME J., KING, JOHN R., BAHL, HUBERT, FISCHER, RALF-JOERG and WOLKENHAUER, OLAF, 2013. A shift in the dominant phenotype governs the pH-induced metabolic switch of Clostridium acetobutylicumin phosphate-limited continuous cultures APPLIED MICROBIOLOGY AND BIOTECHNOLOGY. 97(14), 6451-6466 KING, JOHN R. and TARANETS, ROMAN M., 2013. Asymmetric travelling waves for the thin film equation JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 404(2), 399-419 FOZARD, JOHN A, LUCAS, MIKAEL, KING, JOHN R and JENSEN, OLIVER E, 2013. Vertex-element models for anisotropic growth of elongated plant organs. Frontiers in plant science. 4, 233 MURARO D, MELLOR N, POUND MP, HELP H, LUCAS M, CHOPARD J, BYRNE HM, GODIN C, HODGMAN TC, KING JR, PRIDMORE TP, HELARIUTTA Y, BENNETT MJ and BISHOPP A, 2013. Integration of hormonal signaling networks and mobile microRNAs is required for vascular patterning in Arabidopsis roots. Proceedings of the National Academy of Sciences of the United States of America. 111(2), 857-862 LAMB, A., EVANS, G. and KING, J. R., 2013. Mathematical Modelling of Toxicity Associated with Intracellular Chromium Reduction BULLETIN OF MATHEMATICAL BIOLOGY. 75(9), 1472-1500 KIMPTON, L. S., WHITELEY, J. P., WATERS, S. L., KING, J. R. and OLIVER, J. M., 2013. Multiple travelling-wave solutions in a minimal model for cell motility MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA. 30(3), 241-272 BOKES, P., KING, J.R., WOOD, A.T.A. and LOOSE, M., 2012. Exact and approximate distributions of protein and mRNA levels in the low-copy regime of gene expression Journal of Mathematical Biology. 64(5), 829-854 ANBALAGAN, C., LAFAYETTE, I., ANTONIOU-KOUROUNIOTI, M., HAQUE, M., KING, J., JOHNSEN, B., BAILLIE, D., GUTIERREZ, C., RODRIGUEZ MARTIN, J.A. and DE POMERAI, D., 2012. Transgenic nematodes as biosensors for metal stress in soil pore water samples Ecotoxicology. 21(2), 439-455 BAND, L.R., UBEDA-TOMAS, S., DYSON, R.J., MIDDLETON, A.M., HODGMAN, T.C., OWEN, M.R., JENSEN, O.E., BENNETT, M.J and KING, J.R., 2012. Growth-induced hormone dilution can explain the dynamics of plant root cell elongation Proceedings of the National Academy of Sciences of the United States of America: PNAS. 109(19), 7577-7582 BAND. L.R., WELLS, D.M., LARRIEU, A., SUN, J., MIDDLETON, A.M., FRENCH, A.P., BRUNOUD, G., SATO, E.M., WILSON, M.H., PÉRET, B., OLIVA, M., SWARUP, R., SAIRANEN, I., PARRY, G., LJUNG, K., BEECKMAN, T., GARIBALDI, J.M., ESTELLE, M., OWEN, M.R., VISSENBERG, K., HODGMAN, T.C., PRIDMORE, T.P., KING, J.R., VERNOUX, T. and BENNETT, M.J., 2012. Root gravitropism is regulated by a transient lateral auxin gradient controlled by a tipping-point mechanism Proceedings of the National Academy of Sciences of the United States of America. 109(12), 4668-4673 MIDDLETON A.M., UBEDA-TOMÁS S., GRIFFITHS J., HOLMAN T., HEDDEN P., THOMAS S.G., PHILLIPS A.L., HOLDSWORTH M.J., BENNETT M.J., KING J.R. and OWEN M.R., 2012. Mathematical modeling elucidates the role of transcriptional feedback in gibberellin signaling Proceedings of the National Academy of Sciences of the United States of America. 109(19), 7571-7576 O'DEA, R.D. and KING, J.R., 2012. Continuum limits of pattern formation in hexagonal-cell monolayers Journal of Mathematical Biology. 64(3), 579-610 BRIDGE, LJ, MIRAMS, GR, KIEFFER, ML, KING, JR and KEPINSKI, S, 2012. Distinguishing Possible Mechanisms For Auxin-Mediated Developmental Control In Arabidopsis: Models With Two Aux/Iaa And Arf Proteins, And Two Target Gene-Sets Mathematical Biosciences. 235(1), 32-44 PERET B, LI G, ZHAO J, BAND L, VOSS U, POSTAIRE O, LUU D, DA INES O, CASIMIRO I, LUCAS M, WELLS D, LAZZERINI L, NACRY P, KING J, JENSEN O, SCHAFFNER A, MAUREL C and BENNETT MJ, 2012. Auxin regulates Aquaporin function to facilitate lateral root emergence. Nature Cell Biology. 10, 991-8 BAND, L.R. and KING, J.R., 2012. Multiscale modelling of auxin transport in the plant-root elongation zone Journal of Mathematical Biology. 65(4), 743-785 PRING SR, OWEN M, KING JR, SINCLAIR KD, WEBB R, FLINT APF and GARNSWORTHY PC, 2012. A mathematical model of the bovine oestrous cycle: simulating outcomes of dietary and pharmacological interventions. Journal of theoretical biology. 313, 115-26 KIRKHAM GR, LOVRICS A, BYRNE HM, JENSEN OE, KING JR, SHAKESHEFF KM and BUTTERY LDK, 2012. Early gene regulation of osteogenesis in embryonic stem cells. Integrative biology : quantitative biosciences from nano to macro. 4(12), 1470-7 CHUGUNOVA, MARINA, KING, JOHN R. and TARANETS, ROMAN M., 2012. Uniqueness of the regular waiting-time type solution of the thin film equation EUROPEAN JOURNAL OF APPLIED MATHEMATICS. 23, 537-554 FOZARD, J. A., LEES, M., KING, J. R. and LOGAN, B. S., 2012. Inhibition of quorum sensing in a computational biofilm simulation BIOSYSTEMS. 109(2), 105-114 WARD, J. P. and KING, J. R., 2012. Thin-film modelling of biofilm growth and quorum sensing JOURNAL OF ENGINEERING MATHEMATICS. 73(1), 71-92 BAND, LR, FOZARD, JA, GODIN, C, JENSEN, OE, PRIDMORE, T, BENNETT, MJ and KING, JR, 2012. Multiscale systems analysis of root growth and development: modeling beyond the network and cellular scales. Plant Cell. 24, 3892-3906 BOKES, PAVOL, KING, JOHN R., WOOD, ANDREW T. A. and LOOSE, MATTHEW, 2012. Multiscale stochastic modelling of gene expression JOURNAL OF MATHEMATICAL BIOLOGY. 65(3), 493-520 FILA, MAREK and KING, JOHN R., 2012. GROW UP AND SLOW DECAY IN THE CRITICAL SOBOLEV CASE NETWORKS AND HETEROGENEOUS MEDIA. 7(4), 661-671 LEMON, G., HOWARD, D., YANG, H., RATCHEV, S.M., SEGAL, J.I., ROSE, F.R.A.J., JENSEN, O.E., WATERS, S.L. and KING, J.R., 2011. Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: experiments and mathematical model Biomechanics and Modeling in Mechanobiology. 10(4), 539-558 LEMON, G., HOWARD, D., ROSE, F. R. A. J. and KING, J. R., 2011. Individual-based modelling of angiogenesis inside three-dimensional porous biomaterials Biosystems. VOL 103(NUMBER 3), 372-383 O'DEA, R.D. and KING, J.R., 2011. Multiscale analysis of pattern formation via intercellular signalling Mathematical Biosciences. 231(2), 172-185 MCCUE, S.W. and KING, J.R., 2011. Contracting bubbles in Hele-Shaw cells with a power-law fluid Nonlinearity. 24(2), 613-641 MEERE, M. G. and KING, J. R., 2011. Diffusion in a strained cubic crystal JOURNAL OF ENGINEERING MATHEMATICS -LEYDEN. VOL 69(NUMBER 1), 1-23 FILA, M., KING, J.R., WINKLER, M. and YANAGIDA, E., 2011. Very slow grow-up of solutions of a semi-linear parabolic equation PROCEEDINGS- EDINBURGH MATHEMATICAL SOCIETY. VOL 54(PART 2), 381-400
NOAKES C.J., KING J.R. and RILEY D.S., 2011. The effect of mass transfer on steady two-dimensional rimming flow Journal of Engineering Mathematics. 71(2), 223-236 DEAN, A.D., MATTHEWS, P.C., COX, S.M. and KING, J.R., 2011. Exponential asymptotics of homoclinic snaking Nonlinearity. 24(12), 3323-3351 PEARCE, SP, KING, JR and HOLDSWORTH, MJ, 2011. Axisymmetric Indentation Of Curved Elastic Membranes By A Convex Rigid Indenter International Journal Of Non-Linear Mechanics. 46(9), 1128-1138 MURARO, D, BYRNE, H, KING, J, VOSS, U, KIEBER, J and BENNETT, M, 2011. The Influence Of Cytokinin-Auxin Cross-Regulation On Cell-Fate Determination In Arabidopsis Thaliana Root Development Journal Of Theoretical Biology. 283(1), 152-167 FOZARD, JA, KIRKHAM, GR, BUTTERY, LDK, KING, JR, JENSEN, OE and BYRNE, HM, 2011. Techniques For Analysing Pattern Formation In Populations Of Stem Cells And Their Progeny Bmc Bioinformatics. 12, - KING, JR, HAUS, S, JABBARI, S, MILLAT, T, JANSENN, H, FISCHER, RJ, BAHL, H and WOLKENHAUER, O, 2011. A systems biology approach to investigate the effect of pH-induced gene regulation on solvent production by Clostridium acetobutylicum in continuous culture BMC Sys. Biol. 5, 10 NELSON, M. R., HOWARD, D., JENSEN, O. E., KING, J. R., ROSE, F. R. A. J. and WATERS, S. L., 2011. Growth-induced buckling of an epithelial layer BIOMECHANICS AND MODELING IN MECHANOBIOLOGY. 10(6), 883-900 FOZARD, J. A., BYRNE, H. M., JENSEN, O. E. and KING, J. R., 2010. Continuum approximations of individual-based models for epithelial monolayers Math. Med. Bio.. VOL 27(NUMBER 1), 39-74 WOODROFFE, P. J., BRIDGE, L. J., KING, J. R., CHEN, C. Y. and HILL, S. J., 2010. Modelling of the activation of G-protein coupled receptors: drug free constitutive receptor activity J.Math. Biol. VOL 60(NUMBER 3), 313-346 JABBARI, S., KING, J. R., KOERBER, A. J. and WILLIAMS, P., 2010. Mathematical modelling of the agr operon in Staphylococcus aureus Math. Bio.. VOL 61(NUMBER 1), 17-54
CUESTA, C.M. and KING, J.R., 2010. Front propagation in a heterogeneous fisher equation: the homogeneous case is non-generic Quarterly Journal of Mechanics and Applied Mathematics. 63(4), 521-571 BLUMAN, G., BROADBRIDGE, P., KING, J. R. and WARD, M. J., 2010. Similarity: generalizations, applications and open problems J. Eng. Math. VOL 66(NUMBER 1-3), 1-9 PERRINE-WALKER, F., DOUMAS, P., LUCAS, M., VAISSAYRE, V., BEAUCHEMIN, N.J., BAND, L.R., CHOPARD, J., CRABOS, A., CONEJERO, G., PERET, B., KING, J.R., VERDEIL, J.L., HOCHER, V., FRANCHE, C. and BENNETT, M, 2010. Auxin carriers localization drives auxin accumulation in plant cells infected by Frankia in Casuarina glauca actinorhizal nodules Plant Physiol.. 154, 1372-1380 MIDDLETON, A.M, KING, J.R, BENNETT, M.J and OWEN, M.R., 2010. Mathematical modeling of the Aux/IAA negative feedback loop Bull Math Biol. 72(6), 1383-1407 TWYCROSS, J., BAND, L.R., BENNETT, M.J., KING, J.R. and KRASNOGOR, N., 2010. Stochastic and deterministic multiscale models for systems biology: an auxin-transport case study BMC Systems Biology. 4, 34 NIESELT, K, BATTKE, F, HERBIG, A, BRUHEIM, P, WENTZEL, A, JAKOBSEN, OM, SLETTA, H, ALAM, MT, MERLO, ME, MOORE, J, OMARA, WAM, MORRISSEY, ER, JUAREZ-HERMOSILLO, MA, RODRIGUEZ-GARCIA, A, NENTWICH, M, THOMAS, L, IQBAL, M, LEGAIE, R, GAZE, WH, CHALLIS, GL, JANSEN, RC, DIJKHUIZEN, L, RAND, DA, WILD, DL, BONIN, M, REUTHER, J, WOHLLEBEN, W, SMITH, MCM, BURROUGHS, NJ, MARTIN, JF, HODGSON, DA, TAKANO, E, BREITLING, R, ELLINGSEN, TE and WELLINGTON, EMH, 2010. The Dynamic Architecture Of The Metabolic Switch In Streptomyces Coelicolor Bmc Genomics. 11, - KING, J.R and PEREZ-VELAZQUEZ, J. AND BYRNE, H.M., 2009. Singular travelling waves in a model for tumour encapsulation Discrete and Continuous Dynamical Systems. 25(1), 195-230 KING, J. R., MÜNCH, A. and WAGNER, B. A., 2009. Linear stability analysis of a sharp-interface model for dewetting thin films J. Eng. Math.. VOL 63(NUMBER 2-4), 177-195
BRIDGE, L. J, HILL, S. J and KING, J. R. AND WOODROFFE, P. J., 2009. Modelling the activation of G-protein coupled receptors by a single drug Maths. Biosci.. 219, 32-55
PENFIELD, S and KING, J., 2009. Towards a systems biology approach to understanding seed dormancy and germination Proc. Roy. Soc. London. B. VOL 276(NUMB 1673), 3561-3570
KING, J. R. AND MCCUE, S. W., 2009. Quadrature Domains and p-Laplacian Growth 3, 453-469 (In Press.)
FRANKS, S. J and KING, J. R., 2009. Interactions between a uniformly proliferating tumour and its surroundings: Stability analysis for variable material properties Int. J. Eng. Sci.. 1182-1192 (In Press.)
BYRNE, H. M, CHAPMAN, S. J, COOPER, J, DOYLE, B, FLETCHER, A, GAVAGHAN, D. J, JENSEN, O. E, KING, J. R, MAINI, P. K, MIRAMS, G. R, MOMTAHAN, L, MURRAY, P, OSBORNE, J and ET AL, 2009. An integrative computational model for intestinal tissue renewal Cell Proliferation. 42, 617-636 (In Press.)
BUTTERY, L. D, HOWARD, D, KING, J. R, LEMON, G, ROSE, F. R. A. J and TOMLINSON, M. J. AND WATERS, S. L., 2009. Mathematical modelling of tissue-engineered angiogenesis Math. Biosci.. 221, 101-120 (In Press.)
DE POMERAI, D, MADHAMSHETTIWAR, P, ANBALAGAN, C, LOOSE, M, HAQUE, M, KING, J, CHOWDHURI, D.K, SINHA, P, JOHNSEN, B and BAILLIE, D., 2008. The stress-response network in animals: proposals to develop a predictive mathematical model. Open Toxicology Journal. 2, 71-76
FILA, M., KING, J. R., WINKLER, M. and YANAGIDA, E., 2008. Linear behaviour of solutions of a superlinear heat equation JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL 340(NUMBER 1), 401-409 FRANKS, S. J., WARD, J. P., TINDALL, M. J., KING, J. R., CURTIS, A. and EVANS, G. S., 2008. A mathematical model of the in vitro keratinocyte response to chromium and nickel exposure TOXICOLOGY IN VITRO. VOL 22(NUMBER 4), 1088-1093 FOZARD, J.A. and KING, J.R., 2008. Population-scale modelling of cellular chemotaxis and aggregation IMA Journal of Applied Mathematics. 73(1), 69-106 RICHARDSON, G. and KING, J.R., 2007. Time-dependent modelling and asymptotic analysis of electrochemical cells. Journal of Engineering Mathematics. 59(3), 239-275 WILSON, D.J., KING, J.R. and BYRNE, H.M., 2007. Modelling scaffold occupation by a growing, nutrient-rich tissue Mathematical Models and Methods in Applied Sciences. 17(No 1 (suppl)), 1721-1750 EVANS, J. D., GALAKTIONOV, V. A. and KING, J. R., 2007. Blow-up similarity solutions of the fourth-order unstable thin film equation EUROPEAN JOURNAL OF APPLIED MATHEMATICS. VOL 18(PART 2), 195-232
HILHORST, D., KING, J. R. and RÖGER, M., 2007. Travelling-wave analysis of a model describing tissue degradation by bacteria EUROPEAN JOURNAL OF APPLIED MATHEMATICS. VOL 18(PART 5), 583-606
BLOWEY, J. F., KING, J. R. and LANGDON, S., 2007. Small- and waiting-time behaviour of the thin-film equation SIAM Journal on Applied Mathematics. 67, 1776-1807 RICHARDSON, G. W. and KING, J. R., 2007. The Saffman-Taylor problem for an extremely shear-thinning fluid QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS. VOL 60(PART 2), 161-200
EVANS, J. D., GALAKTIONOV, V. A. and KING, J. R., 2007. Unstable sixth-order thin film equation: I. Blow-up similarity solutions Nonlinearity. 20, 1799-1841 CHAPMAN, S. J., HOWLS, C. J., KING, J. R. and OLDE DAALHUIS, A. B., 2007. Why is a shock not a caustic? The higher-order Stokes phenomenon and smoothed shock formation Nonlinearity. VOL 20(NUMB 10), 2425-2452 FILA, M., KING, J. R., WINKLER, M. and YANAGIDA E., 2007. Grow-up rate of solutions of a semilinear parabolic equation with a critical exponent Advanced Differential Equations. 12, 1-26
HILHORST, D., KING, J. R. and RÖGER, M., 2007. Mathematical analysis of a model describing the invasion of bacteria in burn wounds Nonlinear Analysis. 66(5), 1118-1140 EVANS, J. D., GALAKTIONOV, V. A. and KING, J. R., 2007. Source-type solutions of the fourth-order unstable thin film equation EUROPEAN JOURNAL OF APPLIED MATHEMATICS. VOL 18(PART 3), 273-322
EVANS, J. D., GALAKTIONOV V. A. and KING J. R., 2007. Unstable sixth-order thin film equation: II. Global similarity patterns Nonlinearity. 1843-1881 VAN LEEUWEN, I.M.M., BYRNE, H.M., JENSEN, O.E. and KING, J.R., 2006. Crypt dynamics and colorectal cancer: advances in mathematical modelling Cell Proliferation. 39(3), 157-181 LEMON, G., KING, J.R., BYRNE, H.M., JENSEN, O.E. and SHAKESHEFF, K.M., 2006. Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory. Journal of Mathematical Biology. 52(5), 571-594 NORRIS, E.S., KING, J.R. and BYRNE, H.M., 2006. Modelling the response of spatially structured tumours to chemotherapy: drug kinetics Mathematical and Computer Modelling. 43(7-8), 820-837 CUESTA, C.M. and KING, J.R., 2006. Small- and Waiting-Time behavior of a Darcy flow model with a dynamic pressure saturation relation SIAM Journal on Applied Mathematics. VOL 66(NUMB 5), 1482-1511 ADDISON, J.A., HOWISON, S.D. and KING, J.R., 2006. Ray methods for free boundary problems Quarterly of Applied Mathematics. 64(1), 41-60
FILA, M., KING, J. R., WINKLER, M. and YANAGIDA, E., 2006. Optimal lower bound of the grow-up rate for a supercritical parabolic equation JOURNAL OF DIFFERENTIAL EQUATIONS. 228(1), 339-356 CHEN, C Y and KING, J R, 2006. Modelling the effect of caveolae on G-protein activation. Bulletin of Mathematical Biology. 68(4), 863-888 EVANS, P. L., KING, J. R. and MUNCH, A., 2006. Intermediate-Asymptotic Structure of a Dewetting Rim with Strong Slip APPLIED MATHEMATICS RESEARCH EXPRESS. 4, 25pp KING, J. R., MUNCH, A. and WAGNER, B., 2006. Linear stability of a ridge Nonlinearity. 19(12), 2813-2832 ANGUIGE, K., KING, J. R. and WARD, J. P., 2006. A multi-phase mathematical model of quorum sensing in a maturing Pseudomonas aeruginosa biofilm MATHEMATICAL BIOSCIENCES. VOL 203(NUMBER 2), 240-276 BODY, G.L., KING, J.R. and TEW, R.H., 2005. Exponential asymptotics of a fifth-order partial differential equation European Journal of Applied Mathematics. 16(5), 647-681 KING, J.R. and OLIVER, J.M., 2005. Thin-film modelling of poroviscous free surface flows European Journal of Applied Mathematics. 16(4), 519-553 NOAKES, C.J., KING, J.R. and RILEY, D.S., 2005. On three-dimensional stability of a uniform, rigidly rotating film on a rotating cylinder Quarterly Journal of Mechanics and Applied Mathematics. 58(2), 229-256 KING, J.R. and COX, S.M., 2005. Self-similar "stagnation point" boundary layer flows with suction or injection Studies in Applied Mathematics. 115(1), 73-107 MCCUE, S.W., KING, J.R. and RILEY, D.S., 2005. The extinction problem for three-dimensional inward solidification Journal of Engineering Mathematics. 52(4), 389-409 WOODROFFE, P.J., KING, J.R., VARLEY, C.L. and SOUTHGATE, J., 2005. Modelling cell signalling and differentiation in the urothelium Bulletin of Mathematical Biology. 67(2), 369-389 GALAKTIONOV, V.A. and KING, J.R., 2005. Stabilization to a singular steady state for the Frank-Kamenetskii equation in critical dimension Proceedings of the Royal Society of Edinburgh. Section A, Mathematics. 135(4), 777-787
OLIVER, J. M., KING, J. R., MCKINLAY, K. J., BROWN, P. D., GRANT, D. M., SCOTCHFORD, C. A. and WOOD, J. V., 2005. Thin-film theories for two-phase reactive flow models of active cell motion MATHEMATICAL MEDICINE AND BIOLOGY. VOL 22(NUMBER 1), 53-98 ALLEN, E.D., KING, J.R. and MEERE, M.G., 2005. Impurity diffusion through strained semiconductors Quarterly Journal of Mechanics and Applied Mathematics. 58(4), 615-643 KING, J.R. and EVANS, J.D., 2005. Regularization by kinetic undercooling of blow-up in the III-posed Stefan problem SIAM Journal on Applied Mathematics. 65(5), 1677-1707 WARD, J.P., KING, J.R., KOERBER, A.J., CROFT, J.M., SOCKETT, R.E. and WILLIAMS, P., 2004. Cell-signalling repression in bacterial quorum sensing Mathematical Medicine and Biology. 21(3), 169-204 ANGUIGE, K., KING, J.R., WARD, J.P. and WILLIAMS, P., 2004. Mathematical modelling of therapies targeted at bacterial quorum sensing Mathematical Biosciences. 192(1), 39-83 CUMMINGS, L.J. and KING, J.R., 2004. Hele-Shaw flow with a point sink: generic solution breakdown European Journal of Applied Mathematics. 15(1), 1-38 KING, J.R. and FRANKS, S.J., 2004. Mathematical analysis of some multi-dimensional tissue-growth models European Journal of Applied Mathematics. 15(3), 273-295 SANSOM, A., KING, J.R. and RILEY, D.S., 2004. Degenerate-diffusion models for the spreading of thin non-isothermal gravity currents Journal of Engineering Mathematics. 48(1), 43-68 FLITTON, J.C. and KING, J.R., 2004. Surface-tension-driven dewetting of Newtonian and power-law fluids Journal of Engineering Mathematics. 50(2-3), 241-266 FLITTON, J.C. and KING, J.R., 2004. Moving-boundary and fixed-domain problems for a sixth-order thin-film equation European Journal of Applied Mathematics. 15(6), 713-754 MCKINLAY, K.J., ALLISON, F.J., SCOTCHFORD, C.A., GRANT, D.M., OLIVER, J.M., KING, J.R., WOOD, J.V. and BROWN, P.D., 2004. Comparison of environmental scanning electron microscopy with high vacuum scanning electron microscopy as applied to the assessment of cell morphology Journal of Biomedical Materials Research. Part A. 69A(2), 359-366 VAN DER BERG, J.B., BOWEN, M., KING, J.R. and EL-SHEIKH, M.M.A., 2004. The self-similar solution for draining in the thin film equation European Journal of Applied Mathematics. 15(3), 329-346 COX, S.M. and KING, J.R., 2004. Large-Reynolds-number asymptotics of the Berman problem Studies in Applied Mathematics. 113(3), 217-243 JENSEN, O.E., CHINI, G.P. and KING, J.R., 2004. Thin-film flows near isolated humps and interior corners Journal of Engineering Mathematics. 50(2-3), 289-309 KING, J.R. and MEERE, M.G., 2004. The dissociative diffusion mechanism with charge effects II: two-dimensional in-diffusion Quarterly Journal of Mechanics and Applied Mathematics. 57(1), 19-58 CHEN, C.Y., CORDEAUX, Y., HILL, S.J. and KING, J.R., 2003. Modelling of signalling via G-protein coupled receptors: pathway-dependent agonist potency and efficacy Bulletin of Mathematical Biology. 65(5), 933-58 KING, J.R., KOERBER, A.J., CROFT, J.M., WARD, J.P., WILLIAMS, P. and SOCKETT, R.E., 2003. Modelling host tissue degradation by extracellular bacterial pathogens Mathematical Medicine and Biology. 20(3), 227-260 WARD, J.P., KING, J.R., KOERBER, A.J., CROFT, J.M., SOCKETT, R.E. and WILLIAMS, P., 2003. Early development and quorum sensing in bacterial biofilms Journal of Mathematical Biology. 47(1), 23-55 MCCUE, S.W., KING, J.R. and RILEY, D.S., 2003. Extinction behaviour of contracting bubbles in porous media Quarterly Journal of Mechanics and Applied Mathematics. 56(3), 455-482 KING, J.R. and MCCABE, P.M., 2003. On the Fisher-KPP equation with fast nonlinear diffusion Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 459(2032), 2529-2546 CHEN, C.Y., BYRNE, H.M. and KING, J.R., 2003. Mathematical modelling of the oxidation of nickel titanium alloys IMA Journal of Applied Mathematics. 68(6), 637-664 FRANKS, S.J., BYRNE, H.M., KING, J.R., UNDERWOOD, J.C.E. and LEWIS, C.E., 2003. Modelling the early growth of ductal carcinoma in situ of the breast Journal of Mathematical Biology. 47(5), 424-452 BYRNE, H.M., KING, J.R., MCELWAIN, D.L.S. and PREZIOSI, L., 2003. A two-phase model of solid tumour growth Applied Mathematics Letters. 16(4), 567-573 MCCUE, S.W., KING, J.R. and RILEY, D.S., 2003. Extinction behaviour for two-dimensional inward-solidification problems Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 459(2032), 977-1000 CHERNIHA, R. and KING, J.R., 2003. Lie symmetries of nonlinear multidimensional reaction-diffusion systems: II Journal of Physics A: Mathematical and General. 36(2), 405-426 CHAPMAN, S.J. and KING, J.R., 2003. The selection of Saffman-Taylor fingers by kinetic undercooling Journal of Engineering Mathematics. 46(1), 1-32 VAN DEN BERG, J.B., HULSHOF, J. and KING, J.R., 2003. Formal asymptotics of bubbling in the harmonic map heat flow SIAM Journal on Applied Mathematics. 63(5), 1682-1717 EVANS, J.D. and KING, J.R., 2003. The Stefan problem with nonlinear kinetic undercooling Quarterly Journal of Mechanics and Applied Mathematics. 56(1), 139-161 BETELU, S.I. and KING, J.R., 2003. Explicit solutions of a two-dimensional fourth-order nonlinear diffusion equation Mathematical and Computer Modelling. 37(3-4), 395-403 BUNK, M.A. and KING, J.R., 2003. Spreading melts with basal solidification Zeitschrift für angewandte Mathematik und Mechanik. 83(12), 820-843 KOERBER, A.J., KING, J.R., WARD, J.P., WILLIAMS, P., CROFT, J.M. and SOCKETT, R.E., 2002. A mathematical model of partial-thickness burn-wound infection by Pseudomonas aeruginosa: quorum sensing and the build-up to invasion Bulletin of Mathematical Biology. 64(2), 239-260 RICHARDSON, G. and KING, J.R., 2002. Motion by curvature of a three-dimensional filament: similarity solutions Interfaces and Free Boundaries. 4(4), 395-422
KING, J.R. and WATTIS, J.A.D., 2002. Asymptotic solutions of the Becker-Doring equations with size-dependent rate constants Journal of Physics A: Mathematical and General. 35(6), 1357-1380 RICHARDSON, G. and KING, J.R., 2002. The evolution of space curves by curvature and torsion Journal of Physics A: Mathematical and Theoretical. 35(46), 9857-9879 FITT, A.D., HOWELL, P.D., KING, J.R., PLEASE, C.P. and SCHWENDEMAN, D.W., 2002. Multiphase flow in a roll press nip European Journal of Applied Mathematics. 13(3), 225-260 KING, J.R. and MEERE, M.G., 2002. A combined dissociative and kick-out diffusion model with charge effects, part II: out-diffusion Mathematical Proceedings of the Royal Irish Academy. 102/A(1), 79-105
GALAKTIONOV, V.A. and KING, J.R., 2002. Fast diffusion equation with critical Sobolev exponent in a ball Nonlinearity. 15(1), 173-188 KING, J.R. and MEERE, M.G., 2002. A combined dissociative and kick-out diffusion model with charge effects, part I: in-diffusion Mathematical Proceedings of the Royal Irish Academy. 102/A, 49-78
WARD, J.P., KING, J.R., KOERBER, A.J., WILLIAMS, P., CROFT, J.M. and SOCKETT, R.E., 2001. Mathematical modelling of quorum sensing in bacteria IMA Journal of Mathematics Applied in Medicine and Biology. 18(3), 263-292
KING, J.R. and COX, S.M., 2001. Asymptotic analysis of the steady-state and time-dependent Berman problem Journal of Engineering Mathematics. 39(1/4), 87-130 KING, J.R., 2001. Two generalisations of the thin film equation Mathematical and Computer Modelling. 34(7-8), 737-756 HULSHOF, J., KING, J.R. and BOWEN, M., 2001. Intermediate asymptotics of the porous medium equation with sign changes Advances in Differential Equations. 6(9), 1115-1152
BOWEN, M. and KING, J.R., 2001. Asymptotic behaviour of the thin film equation in bounded domains European Journal of Applied Mathematics. 12(2), 135-158 BOWEN, M., HULSHOF, J. and KING, J.R., 2001. Anomalous exponents and dipole solutions for the thin film equation SIAM Journal on Applied Mathematics. 62(1), 149-179 KING, J.R. and BOWEN, M., 2001. Moving boundary problems and non-uniqueness for the thin film equation European Journal of Applied Mathematics. 12(3), 321-356 KING, J.R., RILEY, D.S. and SANSOM, A., 2001. Melt spreading with temperature-dependent viscosity. In: EHRHARD, P., RILEY, D.S. and STEEN, P.H., eds., Interactive dynamics of convection and solidification Dordrecht: Kluwer Academic. 165-176
KING, J.R. and MEERE, M.G., 2001. The role of multiple charge states in zinc diffusion in gallium arsenide Mathematical Proceedings of the Royal Irish Academy. 101/A(1), 95-110
MEERE, M.G. and KING, J.R., 2001. The dissociative diffusion mechanism with charge effects I: one-dimensional indiffusion Quarterly Journal of Mechanics and Applied Mathematics. 54(3), 469-500 SMITH, W.R., KING, J.R. and TUCK, B., 2001. Mathematical modelling of electrical-optical effects in semiconductor laser operation SIAM Journal on Applied Mathematics. 61(6), 2122-2147 TEW, R.H., CHAPMAN, S.J., KING, J.R., OCKENDON, J.R., SMITH, B.J. and ZAFARULLAH, I., 2000. Scalar wave diffraction by tangent rays Wave Motion. 32(4), 363-380 WARD, J.P. and KING, J.R., 2000. Modelling the effect of cell shedding on avascular tumour growth Journal of Theoretical Medicine. 2, 155-174
KING, J.R., RILEY, D.S. and SANSOM, A., 2000. Gravity currents with temperature-dependent viscosity Computer Assisted Mechanics and Engineering Sciences. 7(3), 251-278
KING, J.R. and RILEY, D.S., 2000. Asymptotic solutions to the Stefan problem with a constant heat source at the moving boundary Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 456(1997), 1163-1174 ABDULLA, U.G. and KING, J.R., 2000. Interface development and local solutions to reaction-diffusion equations SIAM Journal on Mathematical Analysis. 32(2), 235-260 EVANS, J.D. and KING, J.R., 2000. On the derivation of heterogeneous reaction kinetics from a homogeneous reaction model SIAM Journal on Applied Mathematics. 60(6), 1977-1996 KING, J.R., 2000. Emerging areas of mathematical modelling Philosophical Transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences. 1765, 3-20 CHERNIHA, R. and KING, J.R., 2000. Lie symmetries of nonlineaer multi-dimensional reaction-diffusion systems. I. Addendum Journal of Physics A: Mathematical and General. 33, 7839-7841 CHERNIHA, R. and KING, J.R., 2000. Lie symmetries of nonlinear multidimensional reaction-diffusion systems: I Journal of Physics A: Mathematical and General. 33(2), 267-282 EVANS, J.D. and KING, J.R., 2000. Asymptotic results for the Stefan problem with kinetic undercooling Quarterly Journal of Mechanics and Applied Mathematics. 53(3), 449-474 BERNIS, F., HULSHOF, J. and KING, J.R., 2000. Dipoles and similarity solutions of the thin film equation in the half-line Nonlinearity. 13(2), 413-440 DAVIES, S.C., KING, J.R. and WATTIS, J.A.D., 1999. Self-similar behaviour in the coagulation equations Journal of Engineering Mathematics. 36(1-2), 57-88 WARD, J.P. and KING, J.R., 1999. Mathematical modelling of avascular-tumour growth II: Modelling growth saturation IMA Journal of Mathematics Applied in Medicine and Biology. 16(2), 171-211
DAVIES, S.C., KING, J.R. and WATTIS, J.A.D., 1999. The Smoluchowski coagulation equations with continuous injection Journal of Physics A: Mathematical and General. 32(44), 7745-7764 WARD, J.P. and KING, J.R., 1999. Mathematical modelling of the effects of mitotic inhibitors on avascular tumour growth Journal of Theoretical Medicine. 1, 287-311
CUMMINGS, L.J., HOWISON, S.D. and KING, J.R., 1999. Two-dimensional Stokes and Hele-Shaw flows with free surfaces European Journal of Applied Mathematics. 10(6), 635-680 KING, J.R., RILEY, D.S. and WALLMAN, A.M., 1999. Two-dimensional solidification in a corner Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 455(1989), 3449-3470 SMITH, W.R., KING, J.R., TUCK, B. and ORTON, J.W., 1999. The single-mode rate equations for semiconductor lasers with thermal effects IMA Journal of Applied Mathematics. 63(1), 1-36 HULSHOF, J. and KING, J.R., 1999. Asymptotic analysis of some elliptic-parabolic moving boundary problems Applied Mathematics Letters. 12(2), 87-94 THUMAN-COMMIKE, P.A., TSURUTA, H., GREENE, B., PREVELIGE, P.E., KING, J. and CHIU, W., 1999. Solution x-ray scattering-based estimation of electron cryomicroscopy imaging parameters for reconstruction of virus particles Biophysical Journal. 76(4), 2249-2261 KING, J.R., OCKENDON, J.R. and OCKENDON, H., 1999. The Laplace-Young equation near a corner Quarterly Journal of Mechanics and Applied Mathematics. 52(1), 73-97 LEE, A.J., KING, J.R. and HIBBERD, S., 1998. Mathematical modelling of the release of drug from porous, nonswelling transdermal drug-delivery devices IMA Journal of Mathematics Applied in Medicine and Biology. 15(2), 135-164
ENGINEER, J.C., KING, J.R. and TEW, R.H., 1998. Diffraction by slender bodies European Journal of Applied Mathematics. 9(2), 129 WATTIS, J.A.D. and KING, J.R., 1998. Asymptotic solutions of the Becker-Doering equations Journal of Physics A: Mathematical and General. 31(34), 7169-7190 HULSHOF, J. and KING, J.R., 1998. Analysis of a Darcy flow model with a dynamic pressure saturation relation SIAM Journal on Applied Mathematics. 59(1), 318-346 CHAPMAN, S.J., KING, J.R. and ADAMS, K.L., 1998. Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 454(1978), 2733-2755 LEE, A.J., KING, J.R. and BARRETT, D.A., 1997. Percutaneous absorption: a multiple pathway model Journal of Controlled Release. 45(2), 141-151 SMITH, W.R., KING, J.R. and TUCK, B., 1997. Mathematical modelling of thermal effects in semiconductor laser operation IEE proceedings. Optoelectronics. 144(6), 389-396 WALLMAN, A.M., KING, J.R. and RILEY, D.S., 1997. Asymptotic and numerical solutions for the two-dimensional solidification of a liquid half-space Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 453(1962), 1397-1410 KING, J.R. and WATTIS, J.A., 1997. 'Mud-cracking' in a Latex paint film, Report from European Study Group with Industry 1997, University of Bath
WARD, J.P. and KING, J.R., 1997. Mathematical modelling of avascular-tumour growth IMA Journal of Mathematics Applied in Medicine and Biology. 14(1), 39-70
HULSHOF, J. and KING, J.R., 1997. Asymptotic analysis of a some elliptic-parabolic moving boundary problems (Report No W97-23), Mathematical Institute,University of Leiden
KING, J.R. and MEERE, M.G., 1997. Some moving-boundary problems arising from a model for solid-state diffusion Journal of Engineering Mathematics. 31(1), 1-27 KING, J.R., 1997. Gas concentration measurements in underground waste storage tanks, Report from 13th Workshop on Mathematical Problems in Industry, Rensselaer Polytechnic Institute
EVANS, J.D., TAYLER, A.B. and KING, J.R., 1997. Finite-length mask effects in the isolation oxidation of silicon IMA Journal of Applied Mathematics. 58(2), 121-146 KING, J.R., 1997. The manufacture of continuous electrodes using paste briquettes, Report from European Study Group with Industry 1997, University of Bath
KING, J.R., 1997. Thermo-electric problem in the Sφderberg electrode, Report from European Study Group with Industry 1997, University of Bath
CUMMINGS, L.G., HOWISON, S.D. and KING, J.R., 1997. Conserved quantities in Stokes flow with free surfaces Physics of Fluids. 9(3), 477-480 GALAKTIONOV, V.A. and KING, J.R., 1996. On the behaviour of blow-up interfaces for an inhomogeneous filtration equation IMA Journal of Applied Mathematics. 57(1), 53-78 LEE, A.J., KING, J.R. and ROGERS, T.G., 1996. A multiple-pathway model for the diffusion of drugs in skin IMA Journal of Mathematics Applied in Medicine and Biology. 13(2), 127-150
KING, J.R. and PLEASE, C.P., 1996. Asymptotic analysis of the growth of cake layers in filters IMA Journal of Applied Mathematics. 57(1), 1-28 KING, J.R. and MEERE, M.G., 1996. Asymptotic analysis of a combined dissociative and kick-out diffusion mechanism IMA Journal of Applied Mathematics. 56(1), 33-64 OLDEDAALHUIS, A.B., CHAPMAN, S.J., KING, J.R., OCKENDON, J.R. and TEW, R.H., 1995. Stokes phenomenon and matched asymptotic expansions SIAM Journal on Applied Mathematics. 55(6), 1469-1483 KING, J.R., SHARP, T.E., TUCK, B. and ROGERS, T.G., 1995. Mathematical modeling of the interstitialcy diffusion mechanism Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 450(1940), 623-649
MEERE, M.G., KING, J.R. and ROGERS, T.G., 1995. Asymptotic analysis of some two-dimensional diffusion problems Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 448(2), 213
KING, J.R., LACEY, A.A. and VAZQUEZ, J.L., 1995. Persistence of corners in free boundaries in Hele-Shaw flow European Journal of Applied Mathematics. 6(5), 455-490
MEERE, M.G. and KING, J.R., 1995. An asymptotic analysis of the kick-out diffusion mechanism Zeitschrift für angewandte Mathematik und Physik. 46(4), 546 KING, J.R., SHARP, T.E., TUCK, B. and ROGERS, T.G., 1995. Mathematical modelling of the diffusion-induced disordering of a semiconductor superlattice Quarterly Journal of Mechanics and Applied Mathematics. 48(4), 583 KING, J.R., 1995. Development of singularities in some moving boundary problems European Journal of Applied Mathematics. 6(5), 491-508
KING, J.R., 1994. Asymptotic results for nonlinear outdiffusion European Journal of Applied Mathematics. 5, 359-390
MEERE,M.G., KING,J.R. and ROGERS,T.G., 1994. Asymptotic analysis of a model for substitutional-interstitial diffusion Zeitschrift für angewandte Mathematik und Physik. 45, 763-783 KING, J.R., 1993. Exact multidimensional solutions to some nonlinear diffusion equations Quarterly Journal of Mechanics and Applied Mathematics. 46(3), 419 KING, J.R., 1993. Multi-dimensional singular diffusion Journal of Engineering Mathematics. 27(4), 357-387 KING, J.R., LACEY, A.A., PLEASE, C.P., WILMOTT, P. and ZORYK, A., 1993. The formation of oscillation marks on continuously cast steel Mathematical Engineering in Industry. 4, 91-106
KING, J.R., 1993. Self-similar behaviour for the equation of fast nonlinear diffusion PPhilosophical Transactions. Physical Sciences and Engineering. 343(1668), 337 KING, J.R., 1992. Comment on "Interacting diffusion of two dopants through crystalline silicon" Applied Physics A: materials science & processing. 54, 393
KING, J.R., 1992. Surface-concentration-dependent nonlinear diffusion European Journal of Applied Mathematics. 3, 1-20
KING, J.R., 1992. Some non-self-similar solutions to a nonlinear diffusion equation Journal of Physics A: Mathematical and General. 25(18), 4861-4866 KING, J.R., 1992. Local transformations between some nonlinear diffusion equations Journal of the Australian Mathematical Society. 33(3), 321-349
KING, J.R., MEERE, M.G. and ROGERS, T.G., 1992. Asymptotic analysis of a nonlinear model for subsitutional diffusion in semiconductors Zeitschrift für angewandte Mathematik und Physik. 43(3), 505-525 KING, J.R., 1991. Exact solutions to a nonlinear diffusion equation Journal of Physics A: Mathematical and General. 24, 3213-3216 KING, J.R., 1991. Integral results for nonlinear diffusion equations Journal of Engineering Mathematics. 25(2), 191-205 KING, J.R., 1991. Asymptotic analysis of an impurity-defect pair diffusion model Quarterly Journal of Mechanics and Applied Mathematics. 44(3), 369-412 KING, J.R., 1990. Mathematical analysis of a model for substitutional diffusion Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 430(1879), 377-404 KING, J.R., 1990. Some non-local transformations between nonlinear diffusion equations Journal of Physics A: Mathematical and General. 23, 5441-5464 KING, J.R., 1990. Phosphorus diffusion in silicon European Journal of Applied Mathematics. 1, 151-175
KING, J.R., 1990. Exact similarity solutions to some nonlinear diffusion equations Journal of Physics A: Mathematical and General. 23(16), 3681-3697 KING, J.R., 1989. On the diffusion of point defects in silicon SIAM Journal on Applied Mathematics. 49(4), 1081-1101 HOWISON, S.D. and KING, J.R., 1989. Explicit solutions to six free boundary problems IMA Journal of Applied Mathematics. 42, 155-175 KING, J.R., 1989. The isolation oxidation of silicon: the reaction-controlled case SIAM Journal on Applied Mathematics. 49(4), 1064-1080 KING, J.R., 1989. The isolation oxidation of silicon SIAM Journal on Applied Mathematics. 49(1), 264-280 KING, J.R., 1988. Extremely high concentration dopant diffusion in silicon IMA Journal of Applied Mathematics. 40, 163-181 O'NEILL, A.G., HILL, C., KING, J.R. and PLEASE, C., 1988. A new model for the diffusion of arsenic in polycrystalline silicon Journal of Applied Physics. 64, 167-174 KING, J.R., 1988. Interacting dopant diffusions in crystalline silicon SIAM Journal on Applied Mathematics. 48(2), 405-415 KING, J.R., 1988. Approximate solutions to a nonlinear diffusion equation Journal of Engineering Mathematics. 22, 53-72 ELLIOTT, C.M., HERRERO, M.A., KING, J.R. and OCKENDON, J.R., 1986. The mesa problem: diffusion patterns for ut = ∇⋅(um∇u) as m → ∞ IMA Journal of Applied Mathematics. 37, 147-154 KING, J.R. and PLEASE, C.P., 1986. Diffusion of dopant in crystalline silicon: an asymptotic analysis IMA Journal of Applied Mathematics. 37, 185-197