Edit Profile Murray, James Dickson Compute Distance To: Compute Author ID: murray.james-dickson Published as: Murray, J. D-; Murray, J. D.; Murray, James D.; Murray, James Dickson Homepage: https://www.biologie-seite.de/Biologie/James_D._Murray External Links: MGP · Wikidata · dblp · GND · MacTutor Documents Indexed: 110 Publications since 1955, including 12 Books all top 5 Co-Authors 35 single-authored 17 Maini, Philip Kumar 9 Cruywagen, Gerhard C. 7 Oster, George F. 5 Lewis, Mark Alun 4 Lubkin, Sharon R. 4 Myerscough, Mary R. 3 Bentil, Daniel E. 3 Cook, Julian 3 Manoranjan, Valipuram S. 3 Sherratt, Jonathan A. 3 Swanson, Kristin R. 3 Tyson, Rebecca C. 3 Winters, Keith H. 3 Zhu, Mei 2 Alvord, Ellsworth C. jun. 2 Burke, Meghan A. 2 Grindrod, Peter 2 Jackson, Trachette L. 2 Kulesa, Paul M. 2 Mitchell, Andrew Ronald 2 Perelson, Alan S. 2 White, K. A. Jane 1 Alexander, Kevin A. 1 Arcuri, Phillip A. 1 Britton, Nicholas Ferris 1 Camazine, Scott 1 Caswell, Hal 1 Chaplain, Mark A. J. 1 Chauvet, Pierre 1 Cheng, Louis Y. 1 Cohen, Donald Sussman 1 Cohen, J. E. R. 1 Demongeot, Jacques 1 Duban, Marie-Claude 1 Duffy, M. R. 1 Frenzen, Chris L. 1 Goldstein, Sydney 1 Gottman, John M. 1 Grenfell, Bryan T. 1 Harris, A. K. 1 Hendry, R. J. 1 Hofer, Thomas 1 Hoppensteadt, Frank C. 1 Hyman, James M. 1 Jenkins, Michael J. 1 Joly, Ghislaine 1 Kareiva, P. M. 1 Kath, William L. 1 Kernevez, Jean-Pierre 1 Lan-Keh Chi 1 Lane, David C. 1 Lejeune, Olivier 1 Lewis, Julian 1 Ludford, Geoffrey S. S. 1 Martin, Paul Andrew 1 Métevier, D. 1 Montes, P. C. 1 Nelson, Patrick W. 1 Neubert, Michael G. 1 Ochoa, Francisco Lara 1 Odell, Garrett M. 1 Powell, Thomas M. 1 Qian, Hong 1 Sekimura, Toshio 1 Senter, Peter D. 1 Shaw, L. J. 1 Sinha, Shivam 1 Sneyd, James 1 Sperb, Rene P. 1 Swanson, Catherine C. 1 Tayler, Alan B. 1 Taylor, Bert Alan 1 Thomas, Daniel L. 1 Tracqui, Philippe 1 Tyson, John J. 1 Wilmott, Stephen all top 5 Serials 15 Journal of Mathematical Biology 10 SIAM Journal on Applied Mathematics 7 Journal of Fluid Mechanics 6 IMA Journal of Mathematics Applied in Medicine and Biology 5 Mathematical Biosciences 4 Bulletin of Mathematical Biology 4 Applied Mathematics Letters 4 Journal of Nonlinear Science 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Mathematika 2 Physica D 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 Philosophical Transactions of the Royal Society of London. Series A 2 Forma 2 Journal of Mathematics and Physics 2 Interdisciplinary Applied Mathematics 1 Applied Scientific Research 1 Journal of the Franklin Institute 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Quarterly of Applied Mathematics 1 Theoretical Population Biology 1 Mathematical and Computer Modelling 1 IMPACT of Computing in Science and Engineering 1 Notices of the American Mathematical Society 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Nonlinear Science Today 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b 1 Journal of Theoretical Medicine 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Applied Scientific Research, Section A 1 Journal of Geophysical Research 1 Applied Mathematical Sciences 1 Astronautica Acta 1 Applied Scientific Research, Section B all top 5 Fields 80 Biology and other natural sciences (92-XX) 36 Partial differential equations (35-XX) 12 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 89 Publications have been cited 4,152 times in 3,684 Documents Cited by ▼ Year ▼ Mathematical biology. Zbl 0682.92001Murray, James D. 808 1989 Mathematical biology. Vol. 1: An introduction. 3rd ed. Zbl 1006.92001Murray, James D. 768 2002 Mathematical biology. 2nd ed. Zbl 0779.92001Murray, James D. 672 1993 Mathematical biology. Vol. 2: Spatial models and biomedical applications. 3rd revised ed. Zbl 1006.92002Murray, James D. 661 2003 A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017Nelson, Patrick W.; Murray, James D.; Perelson, Alan S. 144 2000 Mathematical biology. Corr. 2nd printing. Zbl 0704.92001Murray, James Dickson 142 1990 Lectures on nonlinear-differentialequation models in biology. Zbl 0379.92001Murray, J. D. 118 1977 A generalized diffusion model for growth and dispersal in a population. Zbl 0474.92013Cohen, Donald S.; Murray, James D. 58 1981 A mechanical model for mesenchymal morphogenesis. Zbl 0533.92002Murray, J. D.; Oster, G. F.; Harris, A. K. 54 1983 Model and analysis of chemotactic bacterial patterns in a liquid medium. Zbl 0921.92005Tyson, Rebecca; Lubkin, S. R.; Murray, J. D. 45 1999 Asymptotic analysis. Reprint. Zbl 0529.41001Murray, J. D. 41 1984 Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation. Zbl 0725.92004Maini, P. K.; Myerscough, M. R.; Winters, K. H.; Murray, J. D. 38 1991 Mathematical analysis of a basic model for epidermal wound healing. Zbl 0721.92010Sherratt, J. A.; Murray, J. D. 37 1991 Cell traction models for generating pattern and form in morphogenesis. Zbl 0536.92001Murray, J. D.; Oster, G. F. 32 1984 On the mathematics of fluidization. Part 1: Fundamental equations and wave propagation. Zbl 0125.44603Murray, J. D. 29 1965 Pattern sensitivity to boundary and initial conditions in reaction- diffusion models. Zbl 0595.92001Arcuri, P.; Murray, J. D. 27 1986 Asymptotic analysis. Zbl 0287.41016Murray, J. D. 26 1974 Generation of biological pattern and form. Zbl 0611.92003Murray, J. D.; Oster, G. F. 24 1984 The mathematics of marriage. Dynamic nonlinear models. Zbl 1014.91080Gottman, John M.; Murray, James D.; Swanson, Catherine C.; Tyson, Rebecca; Swanson, Kristin R. 21 2002 Minimum domains for spatial patterns in a class of reaction diffusion equations. Zbl 0526.92013Murray, J. D.; Sperb, R. P. 20 1983 Transient dynamics and pattern formation: Reactivity is necessary for Turing instabilities. Zbl 0988.92002Neubert, Michael G.; Caswell, Hal; Murray, J. D. 19 2002 Why are there no 3-headed monsters? Mathematical modeling in biology. Zbl 1284.92009Murray, J. D. 16 2012 A cell kinetics justification for Gompertz’ equation. Zbl 0608.92012Frenzen, C. L.; Murray, J. D. 13 1986 Virtual resection of gliomas: Effect of extent of resection on recurrence. Zbl 1045.92026Swanson, K. R.; Alvord, E. C. jun.; Murray, J. D. 12 2003 Competition in a spatially heterogeneous environment: Modelling the risk of spread of a genetically engineered population. Zbl 0865.92013Cruywagen, Gerhard C.; Kareiva, P.; Lewis, M. A.; Murray, J. D. 12 1996 Spiral waves of cyclic AMP in a model of slime mold aggregation. Zbl 0666.92011Tyson, John J.; Alexander, Kevin A.; Manoranjan, V. S.; Murray, J. D. 12 1989 Spatial structures in predator-prey communities - a nonlinear time delay diffusional model. Zbl 0335.92002Murray, J. D. 12 1976 Perturbation effects on the decay of discontinuous solutions of nonlinear first order wave equations. Zbl 0207.10301Murray, J. D. 12 1970 Biological pattern formation on two-dimensional spatial domains: A nonlinear bifurcation analysis. Zbl 0892.92003Cruywagen, Gerhard C.; Maini, Philip K.; Murray, James D. 11 1997 Parameter domains for generating spatial pattern: A comparison of reaction-diffusion and cell-chemotaxis models. Zbl 0889.35051Zhu, Mei; Murray, J. D. 11 1995 Spiral wave solutions of practical reaction-diffusion systems. Zbl 0451.35075Duffy, M. R.; Britton, N. F.; Murray, J. D. 11 1980 A simple method of parameter space determination for diffusion-driven instability with three species. Zbl 0980.35062Qian, Hong; Murray, J. D. 10 2001 Analysis of propagating pattern in a chemotaxis system. Zbl 0733.92002Myerscough, M. R.; Murray, J. D. 10 1992 Mathematics – biology – nonlinearity. Zbl 0800.92013Murray, J. D. 10 1991 Singular perturbations of a class of nonlinear hyperbolic and parabolic equations. Zbl 0182.13701Murray, J. D. 10 1968 The boundary layer on a flat plate in a stream with uniform shear. Zbl 0102.41401Murray, J. D. 10 1961 On a tissue interaction model for skin pattern formation. Zbl 0900.92029Cruywagen, G. C.; Murray, J. D. 9 1992 A nonlinear analysis of a mechanical model for biological pattern formation. Zbl 0667.92001Maini, P. K.; Murray, J. D. 9 1988 On the flow of a conducting fluid past a magnetized sphere. Zbl 0091.42703Ludford, G. S. S.; Murray, J. D. 9 1960 Analysis of a model for complex skin patterns. Zbl 0696.92011Shaw, L. J.; Murray, J. D. 8 1990 Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003Perelson, A. S.; Maini, P. K.; Murray, J. D.; Hyman, J. M.; Oster, G. F. 8 1986 Pattern formation of scale cells in lepidoptera by differential origin-dependent cell adhesion. Zbl 1323.92031Sekimura, Toshio; Zhu, Mei; Cook, Julian; Maini, Philip K.; Murray, James D. 7 1999 Effect of seasonal host reproduction on host-macroparasite dynamics. Zbl 0856.92016White, K. A. J.; Grenfell, B. T.; Hendry, R. J.; Lejeune, O.; Murray, J. D. 7 1996 A geometrical approach to wave-type solutions of excitable reaction- diffusion systems. Zbl 0718.92003Grindrod, P.; Lewis, M. A.; Murray, J. D. 7 1991 Steady-state spatial patterns in a cell-chemotaxis model. Zbl 0674.92009Grindrod, P.; Murray, J. D.; Sinha, S. 7 1989 Lectures on nonlinear differential-equation models in biology. (Nelinejnye differentsial’nye uravneniya v biologii. Lektsii o modelyakh). Transl. from the English. Zbl 0525.92001Murray, J. D. 7 1983 Theoretical analysis of conjugate localization in two-step cancer chemotherapy. Zbl 0948.92011Jackson, Trachette L.; Lubkin, Sharon R.; Murray, James D. 6 1999 Analysis of a model for wolf territories. Zbl 0882.92031Lewis, M. A.; White, K. A. J.; Murray, J. D. 6 1997 Analysis of wave phenomena in a morphogenetic mechanochemical model and an application to post-fertilization waves on eggs. Zbl 0623.92008Lane, D. C.; Murray, J. D.; Manoranjan, V. S. 6 1987 The flow of a conducting fluid past a magnetized cylinder. Zbl 0114.42301Murray, J. D-; Lan-Keh Chi 6 1960 Mathematical models of wound healing in embryonic and adult epidermis. Zbl 0767.92013Sherratt, Jonathan A.; Martin, Paul; Murray, J. D.; Lewis, Julian 5 1992 Analysis of stable two-dimensional patterns in contractile cytogel. Zbl 0790.92004Lewis, M. A.; Murray, J. D. 5 1991 On the quasi-steady-state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion. Zbl 0744.92018Maini, P. K.; Burke, Meghan A.; Murray, J. D. 5 1991 Incompressible viscous flow past a semi-infinite flat plate. Zbl 0142.43402Murray, J. D. 5 1965 Spatial pattern formation in biology: I. Dermal wound healing. II. Bacterial patterns. Zbl 0919.92008Murray, J. D.; Cook, J.; Tyson, R.; Lubkin, S. R. 4 1998 Travelling waves in a tissue interaction model for skin pattern formation. Zbl 0808.92011Cruywagen, G. C.; Maini, P. K.; Murray, J. D. 4 1994 Suicide substrate reaction-diffusion equations: Varying the source. Zbl 0779.92010Burke, Meghan A.; Maini, P. K.; Murray, J. D. 4 1993 Sequential pattern formation in a model for skin morphogenesis. Zbl 0769.92003Cruywagen, Gerhard C.; Maini, P. K.; Murray, J. D. 4 1992 Analysis of dynamic and stationary pattern formation in the cell cortex. Zbl 0769.92004Lewis, M. A.; Murray, J. D. 4 1992 Pattern selection in biological pattern formation mechanisms. Zbl 0727.92002Bentil, D. E.; Murray, J. D. 4 1991 On nonlinear convective dispersal effects in an interacting population model. Zbl 0514.92020Murray, J. D.; Cohen, J. E. R. 4 1983 Analysis of a model biological switch. Zbl 0587.92003Kath, W. L.; Murray, J. D. 3 1985 A non-linear analysis for spatial structure in a reaction-diffusion model. Zbl 0526.92001Ochoa, Francisco Lara; Murray, J. D. 3 1983 Effect of the rate of oxygen consumption on muscle respiration. Zbl 0357.92004Taylor, B. A.; Murray, J. D. 3 1977 On Burgers’ model equations for turbulence. Zbl 0267.76035Murray, J. D. 3 1973 Two dimensional flow with constant shear past cylinders with various cross sections. Zbl 0065.18307Mitchell, Andrew R.; Murray, James D. 3 1955 Dynamics of a model for brain tumors reveals a small window for therapeutic intervention. Zbl 1042.92017Swanson, Kristin R.; Alvord, Ellsworth C. jun.; Murray, J. D. 2 2004 Development and validation of a mathematical model to describe anti-cancer prodrug activation by antibody-enzyme conjugates. Zbl 0965.92024Jackson, Trachette L.; Senter, Peter D.; Murray, James D. 2 2000 A mechanism for early branching in lung morphogenesis. Zbl 0835.92005Lubkin, Sharon R.; Murray, J. D. 2 1995 A resolution of the chemotactic wave paradox. Zbl 0791.92002Höfer, T.; Maini, P. K.; Sherratt, J. A.; Chaplain, M. A. J.; Chauvet, P.; Métevier, D.; Montes, P. C.; Murray, J. D. 2 1994 Tracking bifurcating solutions of a model biological pattern generator. Zbl 0719.92005Winters, K. H.; Myerscough, M. R.; Maini, P. K.; Murray, J. D. 2 1990 Two dimensional pattern formation in a chemotactic system. (With comments). Zbl 0825.92025Myerscough, M. R.; Maini, P. K.; Murray, J. D.; Winters, K. H. 2 1990 A pattern formation mechanism and its application to mammalian coat markings. Zbl 0447.92004Murray, J. D. 2 1980 Incompressible slip flow past a semi-infinite flat plate. Zbl 0145.22702Murray, J. D. 2 1965 Biological pattern formation – a marriage of theory and experiment. Zbl 1022.92004Murray, J. D. 1 2000 Compact set valued flows. II: Applications in biological modelling. Zbl 0867.58023Demongeot, Jacques; Kulesa, Paul; Murray, James D. 1 1997 Threshold bifurcation in tissue interaction models for spatial pattern generation. Zbl 0857.92004Murray, J. D.; Cruywagen, Gerhard C. 1 1994 Pattern formation in tissue interaction models. Zbl 0821.92005Murray, J. D.; Cruywagen, G. C.; Maini, P. K. 1 1994 Bifurcating spatial patterns arising from travelling waves in a tissue interaction model. Zbl 0801.92002Cruywagen, G. C.; Maini, P. K.; Murray, J. D. 1 1994 Mechanochemical models and biological morphogenesis—a brief review. Zbl 1003.92503Cook, J.; Tracqui, P.; Murray, J. D. 1 1993 On a simplified model for pattern formation in honey bee colonies. Zbl 0748.92002Jenkins, Michael J.; Sneyd, James; Camazine, Scott; Murray, J. D. 1 1992 An analysis of one- and two-dimensional patterns in a mechanical model for morphogenesis. Zbl 0598.92001Maini, P. K.; Murray, J. D.; Oster, G. F. 1 1986 Propagation d’onde dans un système à enzyme immobilisee. Zbl 0391.65050Kernevez, Jean-Pierre; Murray, James Dickson; Joly, Ghislaine; Duban, Marie-Claude; Thomas, Daniel 1 1978 An asymptotic solution of a class of nonlinear wave equation: A model for the human torso under impulsive stress. Zbl 0195.39203Murray, J. D.; Tayler, A. B. 1 1970 Some basic aspects of one-dimensional incompressible particle-fluid two- phase flows. Zbl 0245.76081Murray, J. D. 1 1967 A simple method for determining asymptotic forms of Navier-Stokes solutions for a class of large Reynolds number flows. Zbl 0168.46404Murray, J. D. 1 1967 Note on the propagation of disturbances in a liquid containing gas bubbles. Zbl 0129.19403Murray, J. D. 1 1964 On the mathematics of exchange processes in fixed columns. III: The solution for general entry conditions, and a method of obtaining asymptotic expressions. IV: Limiting values, and correction terms, for the kinetic-theory solution with general entry conditions. V: The equilibrium-theory and perturbation solutions, and their connexion with kinetic-theory solutions, for general entry conditions. Zbl 0089.43101Goldstein, S.; Murray, J. D. 1 1959 Flow with variable shear past circular cylinders. Zbl 0077.39104Murray, J. D.; Mitchell, A. R. 1 1957 Why are there no 3-headed monsters? Mathematical modeling in biology. Zbl 1284.92009Murray, J. D. 16 2012 Dynamics of a model for brain tumors reveals a small window for therapeutic intervention. Zbl 1042.92017Swanson, Kristin R.; Alvord, Ellsworth C. jun.; Murray, J. D. 2 2004 Mathematical biology. Vol. 2: Spatial models and biomedical applications. 3rd revised ed. Zbl 1006.92002Murray, James D. 661 2003 Virtual resection of gliomas: Effect of extent of resection on recurrence. Zbl 1045.92026Swanson, K. R.; Alvord, E. C. jun.; Murray, J. D. 12 2003 Mathematical biology. Vol. 1: An introduction. 3rd ed. Zbl 1006.92001Murray, James D. 768 2002 The mathematics of marriage. Dynamic nonlinear models. Zbl 1014.91080Gottman, John M.; Murray, James D.; Swanson, Catherine C.; Tyson, Rebecca; Swanson, Kristin R. 21 2002 Transient dynamics and pattern formation: Reactivity is necessary for Turing instabilities. Zbl 0988.92002Neubert, Michael G.; Caswell, Hal; Murray, J. D. 19 2002 A simple method of parameter space determination for diffusion-driven instability with three species. Zbl 0980.35062Qian, Hong; Murray, J. D. 10 2001 A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017Nelson, Patrick W.; Murray, James D.; Perelson, Alan S. 144 2000 Development and validation of a mathematical model to describe anti-cancer prodrug activation by antibody-enzyme conjugates. Zbl 0965.92024Jackson, Trachette L.; Senter, Peter D.; Murray, James D. 2 2000 Biological pattern formation – a marriage of theory and experiment. Zbl 1022.92004Murray, J. D. 1 2000 Model and analysis of chemotactic bacterial patterns in a liquid medium. Zbl 0921.92005Tyson, Rebecca; Lubkin, S. R.; Murray, J. D. 45 1999 Pattern formation of scale cells in lepidoptera by differential origin-dependent cell adhesion. Zbl 1323.92031Sekimura, Toshio; Zhu, Mei; Cook, Julian; Maini, Philip K.; Murray, James D. 7 1999 Theoretical analysis of conjugate localization in two-step cancer chemotherapy. Zbl 0948.92011Jackson, Trachette L.; Lubkin, Sharon R.; Murray, James D. 6 1999 Spatial pattern formation in biology: I. Dermal wound healing. II. Bacterial patterns. Zbl 0919.92008Murray, J. D.; Cook, J.; Tyson, R.; Lubkin, S. R. 4 1998 Biological pattern formation on two-dimensional spatial domains: A nonlinear bifurcation analysis. Zbl 0892.92003Cruywagen, Gerhard C.; Maini, Philip K.; Murray, James D. 11 1997 Analysis of a model for wolf territories. Zbl 0882.92031Lewis, M. A.; White, K. A. J.; Murray, J. D. 6 1997 Compact set valued flows. II: Applications in biological modelling. Zbl 0867.58023Demongeot, Jacques; Kulesa, Paul; Murray, James D. 1 1997 Competition in a spatially heterogeneous environment: Modelling the risk of spread of a genetically engineered population. Zbl 0865.92013Cruywagen, Gerhard C.; Kareiva, P.; Lewis, M. A.; Murray, J. D. 12 1996 Effect of seasonal host reproduction on host-macroparasite dynamics. Zbl 0856.92016White, K. A. J.; Grenfell, B. T.; Hendry, R. J.; Lejeune, O.; Murray, J. D. 7 1996 Parameter domains for generating spatial pattern: A comparison of reaction-diffusion and cell-chemotaxis models. Zbl 0889.35051Zhu, Mei; Murray, J. D. 11 1995 A mechanism for early branching in lung morphogenesis. Zbl 0835.92005Lubkin, Sharon R.; Murray, J. D. 2 1995 Travelling waves in a tissue interaction model for skin pattern formation. Zbl 0808.92011Cruywagen, G. C.; Maini, P. K.; Murray, J. D. 4 1994 A resolution of the chemotactic wave paradox. Zbl 0791.92002Höfer, T.; Maini, P. K.; Sherratt, J. A.; Chaplain, M. A. J.; Chauvet, P.; Métevier, D.; Montes, P. C.; Murray, J. D. 2 1994 Threshold bifurcation in tissue interaction models for spatial pattern generation. Zbl 0857.92004Murray, J. D.; Cruywagen, Gerhard C. 1 1994 Pattern formation in tissue interaction models. Zbl 0821.92005Murray, J. D.; Cruywagen, G. C.; Maini, P. K. 1 1994 Bifurcating spatial patterns arising from travelling waves in a tissue interaction model. Zbl 0801.92002Cruywagen, G. C.; Maini, P. K.; Murray, J. D. 1 1994 Mathematical biology. 2nd ed. Zbl 0779.92001Murray, James D. 672 1993 Suicide substrate reaction-diffusion equations: Varying the source. Zbl 0779.92010Burke, Meghan A.; Maini, P. K.; Murray, J. D. 4 1993 Mechanochemical models and biological morphogenesis—a brief review. Zbl 1003.92503Cook, J.; Tracqui, P.; Murray, J. D. 1 1993 Analysis of propagating pattern in a chemotaxis system. Zbl 0733.92002Myerscough, M. R.; Murray, J. D. 10 1992 On a tissue interaction model for skin pattern formation. Zbl 0900.92029Cruywagen, G. C.; Murray, J. D. 9 1992 Mathematical models of wound healing in embryonic and adult epidermis. Zbl 0767.92013Sherratt, Jonathan A.; Martin, Paul; Murray, J. D.; Lewis, Julian 5 1992 Sequential pattern formation in a model for skin morphogenesis. Zbl 0769.92003Cruywagen, Gerhard C.; Maini, P. K.; Murray, J. D. 4 1992 Analysis of dynamic and stationary pattern formation in the cell cortex. Zbl 0769.92004Lewis, M. A.; Murray, J. D. 4 1992 On a simplified model for pattern formation in honey bee colonies. Zbl 0748.92002Jenkins, Michael J.; Sneyd, James; Camazine, Scott; Murray, J. D. 1 1992 Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation. Zbl 0725.92004Maini, P. K.; Myerscough, M. R.; Winters, K. H.; Murray, J. D. 38 1991 Mathematical analysis of a basic model for epidermal wound healing. Zbl 0721.92010Sherratt, J. A.; Murray, J. D. 37 1991 Mathematics – biology – nonlinearity. Zbl 0800.92013Murray, J. D. 10 1991 A geometrical approach to wave-type solutions of excitable reaction- diffusion systems. Zbl 0718.92003Grindrod, P.; Lewis, M. A.; Murray, J. D. 7 1991 Analysis of stable two-dimensional patterns in contractile cytogel. Zbl 0790.92004Lewis, M. A.; Murray, J. D. 5 1991 On the quasi-steady-state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion. Zbl 0744.92018Maini, P. K.; Burke, Meghan A.; Murray, J. D. 5 1991 Pattern selection in biological pattern formation mechanisms. Zbl 0727.92002Bentil, D. E.; Murray, J. D. 4 1991 Mathematical biology. Corr. 2nd printing. Zbl 0704.92001Murray, James Dickson 142 1990 Analysis of a model for complex skin patterns. Zbl 0696.92011Shaw, L. J.; Murray, J. D. 8 1990 Tracking bifurcating solutions of a model biological pattern generator. Zbl 0719.92005Winters, K. H.; Myerscough, M. R.; Maini, P. K.; Murray, J. D. 2 1990 Two dimensional pattern formation in a chemotactic system. (With comments). Zbl 0825.92025Myerscough, M. R.; Maini, P. K.; Murray, J. D.; Winters, K. H. 2 1990 Mathematical biology. Zbl 0682.92001Murray, James D. 808 1989 Spiral waves of cyclic AMP in a model of slime mold aggregation. Zbl 0666.92011Tyson, John J.; Alexander, Kevin A.; Manoranjan, V. S.; Murray, J. D. 12 1989 Steady-state spatial patterns in a cell-chemotaxis model. Zbl 0674.92009Grindrod, P.; Murray, J. D.; Sinha, S. 7 1989 A nonlinear analysis of a mechanical model for biological pattern formation. Zbl 0667.92001Maini, P. K.; Murray, J. D. 9 1988 Analysis of wave phenomena in a morphogenetic mechanochemical model and an application to post-fertilization waves on eggs. Zbl 0623.92008Lane, D. C.; Murray, J. D.; Manoranjan, V. S. 6 1987 Pattern sensitivity to boundary and initial conditions in reaction- diffusion models. Zbl 0595.92001Arcuri, P.; Murray, J. D. 27 1986 A cell kinetics justification for Gompertz’ equation. Zbl 0608.92012Frenzen, C. L.; Murray, J. D. 13 1986 Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003Perelson, A. S.; Maini, P. K.; Murray, J. D.; Hyman, J. M.; Oster, G. F. 8 1986 An analysis of one- and two-dimensional patterns in a mechanical model for morphogenesis. Zbl 0598.92001Maini, P. K.; Murray, J. D.; Oster, G. F. 1 1986 Analysis of a model biological switch. Zbl 0587.92003Kath, W. L.; Murray, J. D. 3 1985 Asymptotic analysis. Reprint. Zbl 0529.41001Murray, J. D. 41 1984 Cell traction models for generating pattern and form in morphogenesis. Zbl 0536.92001Murray, J. D.; Oster, G. F. 32 1984 Generation of biological pattern and form. Zbl 0611.92003Murray, J. D.; Oster, G. F. 24 1984 A mechanical model for mesenchymal morphogenesis. Zbl 0533.92002Murray, J. D.; Oster, G. F.; Harris, A. K. 54 1983 Minimum domains for spatial patterns in a class of reaction diffusion equations. Zbl 0526.92013Murray, J. D.; Sperb, R. P. 20 1983 Lectures on nonlinear differential-equation models in biology. (Nelinejnye differentsial’nye uravneniya v biologii. Lektsii o modelyakh). Transl. from the English. Zbl 0525.92001Murray, J. D. 7 1983 On nonlinear convective dispersal effects in an interacting population model. Zbl 0514.92020Murray, J. D.; Cohen, J. E. R. 4 1983 A non-linear analysis for spatial structure in a reaction-diffusion model. Zbl 0526.92001Ochoa, Francisco Lara; Murray, J. D. 3 1983 A generalized diffusion model for growth and dispersal in a population. Zbl 0474.92013Cohen, Donald S.; Murray, James D. 58 1981 Spiral wave solutions of practical reaction-diffusion systems. Zbl 0451.35075Duffy, M. R.; Britton, N. F.; Murray, J. D. 11 1980 A pattern formation mechanism and its application to mammalian coat markings. Zbl 0447.92004Murray, J. D. 2 1980 Propagation d’onde dans un système à enzyme immobilisee. Zbl 0391.65050Kernevez, Jean-Pierre; Murray, James Dickson; Joly, Ghislaine; Duban, Marie-Claude; Thomas, Daniel 1 1978 Lectures on nonlinear-differentialequation models in biology. Zbl 0379.92001Murray, J. D. 118 1977 Effect of the rate of oxygen consumption on muscle respiration. Zbl 0357.92004Taylor, B. A.; Murray, J. D. 3 1977 Spatial structures in predator-prey communities - a nonlinear time delay diffusional model. Zbl 0335.92002Murray, J. D. 12 1976 Asymptotic analysis. Zbl 0287.41016Murray, J. D. 26 1974 On Burgers’ model equations for turbulence. Zbl 0267.76035Murray, J. D. 3 1973 Perturbation effects on the decay of discontinuous solutions of nonlinear first order wave equations. Zbl 0207.10301Murray, J. D. 12 1970 An asymptotic solution of a class of nonlinear wave equation: A model for the human torso under impulsive stress. Zbl 0195.39203Murray, J. D.; Tayler, A. B. 1 1970 Singular perturbations of a class of nonlinear hyperbolic and parabolic equations. Zbl 0182.13701Murray, J. D. 10 1968 Some basic aspects of one-dimensional incompressible particle-fluid two- phase flows. Zbl 0245.76081Murray, J. D. 1 1967 A simple method for determining asymptotic forms of Navier-Stokes solutions for a class of large Reynolds number flows. Zbl 0168.46404Murray, J. D. 1 1967 On the mathematics of fluidization. Part 1: Fundamental equations and wave propagation. Zbl 0125.44603Murray, J. D. 29 1965 Incompressible viscous flow past a semi-infinite flat plate. Zbl 0142.43402Murray, J. D. 5 1965 Incompressible slip flow past a semi-infinite flat plate. Zbl 0145.22702Murray, J. D. 2 1965 Note on the propagation of disturbances in a liquid containing gas bubbles. Zbl 0129.19403Murray, J. D. 1 1964 The boundary layer on a flat plate in a stream with uniform shear. Zbl 0102.41401Murray, J. D. 10 1961 On the flow of a conducting fluid past a magnetized sphere. Zbl 0091.42703Ludford, G. S. S.; Murray, J. D. 9 1960 The flow of a conducting fluid past a magnetized cylinder. Zbl 0114.42301Murray, J. D-; Lan-Keh Chi 6 1960 On the mathematics of exchange processes in fixed columns. III: The solution for general entry conditions, and a method of obtaining asymptotic expressions. IV: Limiting values, and correction terms, for the kinetic-theory solution with general entry conditions. V: The equilibrium-theory and perturbation solutions, and their connexion with kinetic-theory solutions, for general entry conditions. Zbl 0089.43101Goldstein, S.; Murray, J. D. 1 1959 Flow with variable shear past circular cylinders. Zbl 0077.39104Murray, J. D.; Mitchell, A. R. 1 1957 Two dimensional flow with constant shear past cylinders with various cross sections. Zbl 0065.18307Mitchell, Andrew R.; Murray, James D. 3 1955 all cited Publications top 5 cited Publications all top 5 Cited by 5,582 Authors 51 Maini, Philip Kumar 39 Li, Wan-Tong 33 Sherratt, Jonathan A. 24 Mickens, Ronald Elbert 23 Byrne, Helen Mary 23 Murray, James Dickson 20 Chen, Lansun 19 Owolabi, Kolade Matthew 18 Jiao, Jianjun 18 Lewis, Mark Alun 18 Simpson, Matthew J. 16 Jin, Zhen 16 Lin, Guo 16 Samanta, Guru Prasad 15 Chaplain, Mark A. J. 15 Petrovskii, Sergei V. 14 Foryś, Urszula 14 Gaffney, Eamonn A. 14 Landman, Kerry A. 14 Painter, Kevin J. 14 Yin, Jingxue 13 d’Onofrio, Alberto 13 Liu, Shengqiang 13 Lutscher, Frithjof 13 Perthame, Benoît 13 Vitanov, Nikolay K. 13 Wei, Junjie 13 Wu, Shiliang 13 Zhang, Jiafang 13 Zou, Xingfu 12 Cai, Shaohong 12 Cherniha, Roman M. 12 Dimitrova, Zlatinka I. 12 Elaiw, Ahmed M. 12 Kumar Upadhyay, Ranjit 12 Ruan, Shigui 12 Shi, Junping 12 Wang, Mingxin 11 Merdan, Hüseyin 11 Rao, Feng 11 Song, Xinyu 11 Sun, Guiquan 11 Xu, Rui 10 Banerjee, Malay 10 Bhattacharyya, Rakhi 10 Dehghan Takht Fooladi, Mehdi 10 Kaźmierczak, Bogdan 10 King, John Robert 10 López-Gómez, Julián 10 Madzvamuse, Anotida 10 Parshad, Rana D. 10 Song, Yongli 10 Walcher, Sebastian 10 Wang, Weiming 10 Wang, Zhian 10 Winkler, Michael 10 Wu, Jianhong 10 Zhang, Guobao 9 Burić, Nikola I. 9 Cosner, Chris 9 González-Parra, Gilberto C. 9 Hamel, François 9 Li, Bailian 9 Mcelwain, D. L. Sean 9 Merkin, John H. 9 Mukhopadhyay, Banibrata 9 Owen, Markus Roger 9 Peng, Rui 9 Webb, Glenn Francis 9 Zheng, Jiashan 8 Alzahrani, Ebraheem O. 8 Aziz-Alaoui, Moulay-Ahmed 8 Baker, Ruth Elizabeth 8 Haque, Mainul 8 Hillen, Thomas 8 Jordan, Pedro M. 8 Koshmanenko, Volodymyr Dmytrovych 8 Liu, Zhijun 8 Marciniak-Czochra, Anna K. 8 McCue, Scott William 8 Norbury, John W. 8 Takeuchi, Yasuhiro 8 Tao, Youshan 8 Wang, Xia 8 Wang, Yifu 8 Wang, Zhi Cheng 8 Wio, Horacio Sergio 8 Wu, Jianhua 8 Yan, Xiangping 8 Zhao, Xiao-Qiang 7 Allen, Linda J. S. 7 Bendahmane, Mostafa 7 Celik, Canan 7 Erban, Radek 7 Feng, Zhaosheng 7 Klika, Václav 7 Kuang, Yang 7 Kumari, Nitu 7 Kuperman, Marcelo N. 7 Lacitignola, Deborah ...and 5,482 more Authors all top 5 Cited in 388 Serials 192 Bulletin of Mathematical Biology 150 Journal of Mathematical Biology 145 Mathematical Biosciences 142 Applied Mathematics and Computation 140 Physica D 130 Journal of Mathematical Analysis and Applications 118 Journal of Theoretical Biology 107 Chaos, Solitons and Fractals 106 Nonlinear Analysis. Real World Applications 86 Mathematical and Computer Modelling 76 Journal of Differential Equations 72 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 69 Computers & Mathematics with Applications 63 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 58 Physics Letters. A 56 Theoretical Population Biology 53 Discrete and Continuous Dynamical Systems. Series B 51 Communications in Nonlinear Science and Numerical Simulation 45 Physica A 45 International Journal of Biomathematics 43 Mathematical Methods in the Applied Sciences 42 Applied Mathematical Modelling 41 Applied Mathematics Letters 40 Journal of Computational and Applied Mathematics 35 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 35 Nonlinear Dynamics 31 Chaos 29 Journal of Mathematical Chemistry 28 Journal of Computational Physics 28 Discrete Dynamics in Nature and Society 27 Advances in Difference Equations 27 Mathematical Biosciences and Engineering 27 Mathematical Modelling of Natural Phenomena 26 Abstract and Applied Analysis 26 Journal of Biological Systems 26 Journal of Applied Mathematics and Computing 25 Mathematics and Computers in Simulation 23 Discrete and Continuous Dynamical Systems 23 Journal of Biological Dynamics 21 SIAM Journal on Applied Mathematics 21 Journal of Dynamics and Differential Equations 20 Nonlinear Analysis. Theory, Methods & Applications 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 18 Journal of Statistical Physics 18 Applied Numerical Mathematics 17 Journal of Difference Equations and Applications 16 Journal of Nonlinear Science 16 Communications on Pure and Applied Analysis 15 Journal of Applied Mathematics 14 Journal of Statistical Mechanics: Theory and Experiment 13 Journal of Fluid Mechanics 13 Nonlinearity 13 Numerical Methods for Partial Differential Equations 13 International Journal of Computer Mathematics 13 Computational and Applied Mathematics 13 Discrete and Continuous Dynamical Systems. Series S 12 Studies in Applied Mathematics 12 Mathematical Problems in Engineering 11 Archive for Rational Mechanics and Analysis 11 Automatica 11 Acta Applicandae Mathematicae 11 International Journal of Modern Physics C 11 SIAM Journal on Applied Dynamical Systems 10 Applicable Analysis 10 Journal of Engineering Mathematics 9 Journal of the Franklin Institute 9 European Journal of Applied Mathematics 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Acta Mathematica Sinica. English Series 9 International Journal of Applied and Computational Mathematics 8 Biological Cybernetics 8 Journal of Mathematical Physics 8 Transactions of the American Mathematical Society 8 Journal of Scientific Computing 8 Natural Resource Modeling 8 Nonlinear Analysis. Modelling and Control 7 International Journal of Modern Physics B 7 Fluid Dynamics 7 Physics Reports 7 Numerische Mathematik 7 Systems & Control Letters 7 Japan Journal of Industrial and Applied Mathematics 7 Applications of Mathematics 7 The ANZIAM Journal 7 The European Physical Journal B. Condensed Matter and Complex Systems 6 International Journal of Control 6 Journal of Applied Mathematics and Mechanics 6 Reports on Mathematical Physics 6 Mathematische Nachrichten 6 Siberian Mathematical Journal 6 Acta Mathematicae Applicatae Sinica. English Series 6 Dynamics and Stability of Systems 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Linear Algebra and its Applications 6 Journal of Mathematical Sciences (New York) 6 Complexity 6 Differential Equations and Dynamical Systems 6 International Journal of Nonlinear Sciences and Numerical Simulation 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Psychometrika ...and 288 more Serials all top 5 Cited in 49 Fields 2,374 Biology and other natural sciences (92-XX) 1,678 Partial differential equations (35-XX) 846 Ordinary differential equations (34-XX) 481 Dynamical systems and ergodic theory (37-XX) 477 Numerical analysis (65-XX) 175 Systems theory; control (93-XX) 165 Fluid mechanics (76-XX) 160 Probability theory and stochastic processes (60-XX) 126 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 105 Difference and functional equations (39-XX) 86 Statistical mechanics, structure of matter (82-XX) 81 Calculus of variations and optimal control; optimization (49-XX) 71 Integral equations (45-XX) 71 Operator theory (47-XX) 67 Classical thermodynamics, heat transfer (80-XX) 55 Computer science (68-XX) 45 Statistics (62-XX) 44 Mechanics of deformable solids (74-XX) 32 Operations research, mathematical programming (90-XX) 30 Global analysis, analysis on manifolds (58-XX) 25 Combinatorics (05-XX) 19 Mechanics of particles and systems (70-XX) 19 Information and communication theory, circuits (94-XX) 15 Real functions (26-XX) 15 Optics, electromagnetic theory (78-XX) 15 Quantum theory (81-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 8 General and overarching topics; collections (00-XX) 8 Approximations and expansions (41-XX) 7 Functional analysis (46-XX) 7 Differential geometry (53-XX) 7 Geophysics (86-XX) 6 Special functions (33-XX) 5 History and biography (01-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Relativity and gravitational theory (83-XX) 4 Number theory (11-XX) 4 Measure and integration (28-XX) 4 Astronomy and astrophysics (85-XX) 3 Commutative algebra (13-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mathematics education (97-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.