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Murray, James Dickson

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Author ID: murray.james-dickson Recent zbMATH articles by "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

Publications by Year

Citations contained in zbMATH

89 Publications have been cited 4,152 times in 3,684 Documents Cited by Year
Mathematical biology. Zbl 0682.92001
Murray, James D.
808
1989
Mathematical biology. Vol. 1: An introduction. 3rd ed. Zbl 1006.92001
Murray, James D.
768
2002
Mathematical biology. 2nd ed. Zbl 0779.92001
Murray, James D.
672
1993
Mathematical biology. Vol. 2: Spatial models and biomedical applications. 3rd revised ed. Zbl 1006.92002
Murray, James D.
661
2003
A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017
Nelson, Patrick W.; Murray, James D.; Perelson, Alan S.
144
2000
Mathematical biology. Corr. 2nd printing. Zbl 0704.92001
Murray, James Dickson
142
1990
Lectures on nonlinear-differentialequation models in biology. Zbl 0379.92001
Murray, J. D.
118
1977
A generalized diffusion model for growth and dispersal in a population. Zbl 0474.92013
Cohen, Donald S.; Murray, James D.
58
1981
A mechanical model for mesenchymal morphogenesis. Zbl 0533.92002
Murray, J. D.; Oster, G. F.; Harris, A. K.
54
1983
Model and analysis of chemotactic bacterial patterns in a liquid medium. Zbl 0921.92005
Tyson, Rebecca; Lubkin, S. R.; Murray, J. D.
45
1999
Asymptotic analysis. Reprint. Zbl 0529.41001
Murray, J. D.
41
1984
Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation. Zbl 0725.92004
Maini, P. K.; Myerscough, M. R.; Winters, K. H.; Murray, J. D.
38
1991
Mathematical analysis of a basic model for epidermal wound healing. Zbl 0721.92010
Sherratt, J. A.; Murray, J. D.
37
1991
Cell traction models for generating pattern and form in morphogenesis. Zbl 0536.92001
Murray, J. D.; Oster, G. F.
32
1984
On the mathematics of fluidization. Part 1: Fundamental equations and wave propagation. Zbl 0125.44603
Murray, J. D.
29
1965
Pattern sensitivity to boundary and initial conditions in reaction- diffusion models. Zbl 0595.92001
Arcuri, P.; Murray, J. D.
27
1986
Asymptotic analysis. Zbl 0287.41016
Murray, J. D.
26
1974
Generation of biological pattern and form. Zbl 0611.92003
Murray, J. D.; Oster, G. F.
24
1984
The mathematics of marriage. Dynamic nonlinear models. Zbl 1014.91080
Gottman, 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 0526.92013
Murray, J. D.; Sperb, R. P.
20
1983
Transient dynamics and pattern formation: Reactivity is necessary for Turing instabilities. Zbl 0988.92002
Neubert, Michael G.; Caswell, Hal; Murray, J. D.
19
2002
Why are there no 3-headed monsters? Mathematical modeling in biology. Zbl 1284.92009
Murray, J. D.
16
2012
A cell kinetics justification for Gompertz’ equation. Zbl 0608.92012
Frenzen, C. L.; Murray, J. D.
13
1986
Virtual resection of gliomas: Effect of extent of resection on recurrence. Zbl 1045.92026
Swanson, 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 0865.92013
Cruywagen, 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 0666.92011
Tyson, 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 0335.92002
Murray, J. D.
12
1976
Perturbation effects on the decay of discontinuous solutions of nonlinear first order wave equations. Zbl 0207.10301
Murray, J. D.
12
1970
Biological pattern formation on two-dimensional spatial domains: A nonlinear bifurcation analysis. Zbl 0892.92003
Cruywagen, 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 0889.35051
Zhu, Mei; Murray, J. D.
11
1995
Spiral wave solutions of practical reaction-diffusion systems. Zbl 0451.35075
Duffy, 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 0980.35062
Qian, Hong; Murray, J. D.
10
2001
Analysis of propagating pattern in a chemotaxis system. Zbl 0733.92002
Myerscough, M. R.; Murray, J. D.
10
1992
Mathematics – biology – nonlinearity. Zbl 0800.92013
Murray, J. D.
10
1991
Singular perturbations of a class of nonlinear hyperbolic and parabolic equations. Zbl 0182.13701
Murray, J. D.
10
1968
The boundary layer on a flat plate in a stream with uniform shear. Zbl 0102.41401
Murray, J. D.
10
1961
On a tissue interaction model for skin pattern formation. Zbl 0900.92029
Cruywagen, G. C.; Murray, J. D.
9
1992
A nonlinear analysis of a mechanical model for biological pattern formation. Zbl 0667.92001
Maini, P. K.; Murray, J. D.
9
1988
On the flow of a conducting fluid past a magnetized sphere. Zbl 0091.42703
Ludford, G. S. S.; Murray, J. D.
9
1960
Analysis of a model for complex skin patterns. Zbl 0696.92011
Shaw, L. J.; Murray, J. D.
8
1990
Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003
Perelson, 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 1323.92031
Sekimura, Toshio; Zhu, Mei; Cook, Julian; Maini, Philip K.; Murray, James D.
7
1999
Effect of seasonal host reproduction on host-macroparasite dynamics. Zbl 0856.92016
White, 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 0718.92003
Grindrod, P.; Lewis, M. A.; Murray, J. D.
7
1991
Steady-state spatial patterns in a cell-chemotaxis model. Zbl 0674.92009
Grindrod, 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 0525.92001
Murray, J. D.
7
1983
Theoretical analysis of conjugate localization in two-step cancer chemotherapy. Zbl 0948.92011
Jackson, Trachette L.; Lubkin, Sharon R.; Murray, James D.
6
1999
Analysis of a model for wolf territories. Zbl 0882.92031
Lewis, 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 0623.92008
Lane, D. C.; Murray, J. D.; Manoranjan, V. S.
6
1987
The flow of a conducting fluid past a magnetized cylinder. Zbl 0114.42301
Murray, J. D-; Lan-Keh Chi
6
1960
Mathematical models of wound healing in embryonic and adult epidermis. Zbl 0767.92013
Sherratt, Jonathan A.; Martin, Paul; Murray, J. D.; Lewis, Julian
5
1992
Analysis of stable two-dimensional patterns in contractile cytogel. Zbl 0790.92004
Lewis, M. A.; Murray, J. D.
5
1991
On the quasi-steady-state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion. Zbl 0744.92018
Maini, P. K.; Burke, Meghan A.; Murray, J. D.
5
1991
Incompressible viscous flow past a semi-infinite flat plate. Zbl 0142.43402
Murray, J. D.
5
1965
Spatial pattern formation in biology: I. Dermal wound healing. II. Bacterial patterns. Zbl 0919.92008
Murray, J. D.; Cook, J.; Tyson, R.; Lubkin, S. R.
4
1998
Travelling waves in a tissue interaction model for skin pattern formation. Zbl 0808.92011
Cruywagen, G. C.; Maini, P. K.; Murray, J. D.
4
1994
Suicide substrate reaction-diffusion equations: Varying the source. Zbl 0779.92010
Burke, Meghan A.; Maini, P. K.; Murray, J. D.
4
1993
Sequential pattern formation in a model for skin morphogenesis. Zbl 0769.92003
Cruywagen, Gerhard C.; Maini, P. K.; Murray, J. D.
4
1992
Analysis of dynamic and stationary pattern formation in the cell cortex. Zbl 0769.92004
Lewis, M. A.; Murray, J. D.
4
1992
Pattern selection in biological pattern formation mechanisms. Zbl 0727.92002
Bentil, D. E.; Murray, J. D.
4
1991
On nonlinear convective dispersal effects in an interacting population model. Zbl 0514.92020
Murray, J. D.; Cohen, J. E. R.
4
1983
Analysis of a model biological switch. Zbl 0587.92003
Kath, W. L.; Murray, J. D.
3
1985
A non-linear analysis for spatial structure in a reaction-diffusion model. Zbl 0526.92001
Ochoa, Francisco Lara; Murray, J. D.
3
1983
Effect of the rate of oxygen consumption on muscle respiration. Zbl 0357.92004
Taylor, B. A.; Murray, J. D.
3
1977
On Burgers’ model equations for turbulence. Zbl 0267.76035
Murray, J. D.
3
1973
Two dimensional flow with constant shear past cylinders with various cross sections. Zbl 0065.18307
Mitchell, Andrew R.; Murray, James D.
3
1955
Dynamics of a model for brain tumors reveals a small window for therapeutic intervention. Zbl 1042.92017
Swanson, 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 0965.92024
Jackson, Trachette L.; Senter, Peter D.; Murray, James D.
2
2000
A mechanism for early branching in lung morphogenesis. Zbl 0835.92005
Lubkin, Sharon R.; Murray, J. D.
2
1995
A resolution of the chemotactic wave paradox. Zbl 0791.92002
Höfer, 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 0719.92005
Winters, K. H.; Myerscough, M. R.; Maini, P. K.; Murray, J. D.
2
1990
Two dimensional pattern formation in a chemotactic system. (With comments). Zbl 0825.92025
Myerscough, 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 0447.92004
Murray, J. D.
2
1980
Incompressible slip flow past a semi-infinite flat plate. Zbl 0145.22702
Murray, J. D.
2
1965
Biological pattern formation – a marriage of theory and experiment. Zbl 1022.92004
Murray, J. D.
1
2000
Compact set valued flows. II: Applications in biological modelling. Zbl 0867.58023
Demongeot, Jacques; Kulesa, Paul; Murray, James D.
1
1997
Threshold bifurcation in tissue interaction models for spatial pattern generation. Zbl 0857.92004
Murray, J. D.; Cruywagen, Gerhard C.
1
1994
Pattern formation in tissue interaction models. Zbl 0821.92005
Murray, J. D.; Cruywagen, G. C.; Maini, P. K.
1
1994
Bifurcating spatial patterns arising from travelling waves in a tissue interaction model. Zbl 0801.92002
Cruywagen, G. C.; Maini, P. K.; Murray, J. D.
1
1994
Mechanochemical models and biological morphogenesis—a brief review. Zbl 1003.92503
Cook, J.; Tracqui, P.; Murray, J. D.
1
1993
On a simplified model for pattern formation in honey bee colonies. Zbl 0748.92002
Jenkins, 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 0598.92001
Maini, P. K.; Murray, J. D.; Oster, G. F.
1
1986
Propagation d’onde dans un système à enzyme immobilisee. Zbl 0391.65050
Kernevez, 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 0195.39203
Murray, J. D.; Tayler, A. B.
1
1970
Some basic aspects of one-dimensional incompressible particle-fluid two- phase flows. Zbl 0245.76081
Murray, J. D.
1
1967
A simple method for determining asymptotic forms of Navier-Stokes solutions for a class of large Reynolds number flows. Zbl 0168.46404
Murray, J. D.
1
1967
Note on the propagation of disturbances in a liquid containing gas bubbles. Zbl 0129.19403
Murray, 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 0089.43101
Goldstein, S.; Murray, J. D.
1
1959
Flow with variable shear past circular cylinders. Zbl 0077.39104
Murray, J. D.; Mitchell, A. R.
1
1957
Why are there no 3-headed monsters? Mathematical modeling in biology. Zbl 1284.92009
Murray, J. D.
16
2012
Dynamics of a model for brain tumors reveals a small window for therapeutic intervention. Zbl 1042.92017
Swanson, Kristin R.; Alvord, Ellsworth C. jun.; Murray, J. D.
2
2004
Mathematical biology. Vol. 2: Spatial models and biomedical applications. 3rd revised ed. Zbl 1006.92002
Murray, James D.
661
2003
Virtual resection of gliomas: Effect of extent of resection on recurrence. Zbl 1045.92026
Swanson, K. R.; Alvord, E. C. jun.; Murray, J. D.
12
2003
Mathematical biology. Vol. 1: An introduction. 3rd ed. Zbl 1006.92001
Murray, James D.
768
2002
The mathematics of marriage. Dynamic nonlinear models. Zbl 1014.91080
Gottman, 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 0988.92002
Neubert, Michael G.; Caswell, Hal; Murray, J. D.
19
2002
A simple method of parameter space determination for diffusion-driven instability with three species. Zbl 0980.35062
Qian, Hong; Murray, J. D.
10
2001
A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017
Nelson, 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 0965.92024
Jackson, Trachette L.; Senter, Peter D.; Murray, James D.
2
2000
Biological pattern formation – a marriage of theory and experiment. Zbl 1022.92004
Murray, J. D.
1
2000
Model and analysis of chemotactic bacterial patterns in a liquid medium. Zbl 0921.92005
Tyson, Rebecca; Lubkin, S. R.; Murray, J. D.
45
1999
Pattern formation of scale cells in lepidoptera by differential origin-dependent cell adhesion. Zbl 1323.92031
Sekimura, Toshio; Zhu, Mei; Cook, Julian; Maini, Philip K.; Murray, James D.
7
1999
Theoretical analysis of conjugate localization in two-step cancer chemotherapy. Zbl 0948.92011
Jackson, Trachette L.; Lubkin, Sharon R.; Murray, James D.
6
1999
Spatial pattern formation in biology: I. Dermal wound healing. II. Bacterial patterns. Zbl 0919.92008
Murray, J. D.; Cook, J.; Tyson, R.; Lubkin, S. R.
4
1998
Biological pattern formation on two-dimensional spatial domains: A nonlinear bifurcation analysis. Zbl 0892.92003
Cruywagen, Gerhard C.; Maini, Philip K.; Murray, James D.
11
1997
Analysis of a model for wolf territories. Zbl 0882.92031
Lewis, M. A.; White, K. A. J.; Murray, J. D.
6
1997
Compact set valued flows. II: Applications in biological modelling. Zbl 0867.58023
Demongeot, 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 0865.92013
Cruywagen, Gerhard C.; Kareiva, P.; Lewis, M. A.; Murray, J. D.
12
1996
Effect of seasonal host reproduction on host-macroparasite dynamics. Zbl 0856.92016
White, 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 0889.35051
Zhu, Mei; Murray, J. D.
11
1995
A mechanism for early branching in lung morphogenesis. Zbl 0835.92005
Lubkin, Sharon R.; Murray, J. D.
2
1995
Travelling waves in a tissue interaction model for skin pattern formation. Zbl 0808.92011
Cruywagen, G. C.; Maini, P. K.; Murray, J. D.
4
1994
A resolution of the chemotactic wave paradox. Zbl 0791.92002
Höfer, 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 0857.92004
Murray, J. D.; Cruywagen, Gerhard C.
1
1994
Pattern formation in tissue interaction models. Zbl 0821.92005
Murray, J. D.; Cruywagen, G. C.; Maini, P. K.
1
1994
Bifurcating spatial patterns arising from travelling waves in a tissue interaction model. Zbl 0801.92002
Cruywagen, G. C.; Maini, P. K.; Murray, J. D.
1
1994
Mathematical biology. 2nd ed. Zbl 0779.92001
Murray, James D.
672
1993
Suicide substrate reaction-diffusion equations: Varying the source. Zbl 0779.92010
Burke, Meghan A.; Maini, P. K.; Murray, J. D.
4
1993
Mechanochemical models and biological morphogenesis—a brief review. Zbl 1003.92503
Cook, J.; Tracqui, P.; Murray, J. D.
1
1993
Analysis of propagating pattern in a chemotaxis system. Zbl 0733.92002
Myerscough, M. R.; Murray, J. D.
10
1992
On a tissue interaction model for skin pattern formation. Zbl 0900.92029
Cruywagen, G. C.; Murray, J. D.
9
1992
Mathematical models of wound healing in embryonic and adult epidermis. Zbl 0767.92013
Sherratt, Jonathan A.; Martin, Paul; Murray, J. D.; Lewis, Julian
5
1992
Sequential pattern formation in a model for skin morphogenesis. Zbl 0769.92003
Cruywagen, Gerhard C.; Maini, P. K.; Murray, J. D.
4
1992
Analysis of dynamic and stationary pattern formation in the cell cortex. Zbl 0769.92004
Lewis, M. A.; Murray, J. D.
4
1992
On a simplified model for pattern formation in honey bee colonies. Zbl 0748.92002
Jenkins, Michael J.; Sneyd, James; Camazine, Scott; Murray, J. D.
1
1992
Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation. Zbl 0725.92004
Maini, P. K.; Myerscough, M. R.; Winters, K. H.; Murray, J. D.
38
1991
Mathematical analysis of a basic model for epidermal wound healing. Zbl 0721.92010
Sherratt, J. A.; Murray, J. D.
37
1991
Mathematics – biology – nonlinearity. Zbl 0800.92013
Murray, J. D.
10
1991
A geometrical approach to wave-type solutions of excitable reaction- diffusion systems. Zbl 0718.92003
Grindrod, P.; Lewis, M. A.; Murray, J. D.
7
1991
Analysis of stable two-dimensional patterns in contractile cytogel. Zbl 0790.92004
Lewis, M. A.; Murray, J. D.
5
1991
On the quasi-steady-state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion. Zbl 0744.92018
Maini, P. K.; Burke, Meghan A.; Murray, J. D.
5
1991
Pattern selection in biological pattern formation mechanisms. Zbl 0727.92002
Bentil, D. E.; Murray, J. D.
4
1991
Mathematical biology. Corr. 2nd printing. Zbl 0704.92001
Murray, James Dickson
142
1990
Analysis of a model for complex skin patterns. Zbl 0696.92011
Shaw, L. J.; Murray, J. D.
8
1990
Tracking bifurcating solutions of a model biological pattern generator. Zbl 0719.92005
Winters, K. H.; Myerscough, M. R.; Maini, P. K.; Murray, J. D.
2
1990
Two dimensional pattern formation in a chemotactic system. (With comments). Zbl 0825.92025
Myerscough, M. R.; Maini, P. K.; Murray, J. D.; Winters, K. H.
2
1990
Mathematical biology. Zbl 0682.92001
Murray, James D.
808
1989
Spiral waves of cyclic AMP in a model of slime mold aggregation. Zbl 0666.92011
Tyson, John J.; Alexander, Kevin A.; Manoranjan, V. S.; Murray, J. D.
12
1989
Steady-state spatial patterns in a cell-chemotaxis model. Zbl 0674.92009
Grindrod, P.; Murray, J. D.; Sinha, S.
7
1989
A nonlinear analysis of a mechanical model for biological pattern formation. Zbl 0667.92001
Maini, 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 0623.92008
Lane, D. C.; Murray, J. D.; Manoranjan, V. S.
6
1987
Pattern sensitivity to boundary and initial conditions in reaction- diffusion models. Zbl 0595.92001
Arcuri, P.; Murray, J. D.
27
1986
A cell kinetics justification for Gompertz’ equation. Zbl 0608.92012
Frenzen, C. L.; Murray, J. D.
13
1986
Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003
Perelson, 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 0598.92001
Maini, P. K.; Murray, J. D.; Oster, G. F.
1
1986
Analysis of a model biological switch. Zbl 0587.92003
Kath, W. L.; Murray, J. D.
3
1985
Asymptotic analysis. Reprint. Zbl 0529.41001
Murray, J. D.
41
1984
Cell traction models for generating pattern and form in morphogenesis. Zbl 0536.92001
Murray, J. D.; Oster, G. F.
32
1984
Generation of biological pattern and form. Zbl 0611.92003
Murray, J. D.; Oster, G. F.
24
1984
A mechanical model for mesenchymal morphogenesis. Zbl 0533.92002
Murray, J. D.; Oster, G. F.; Harris, A. K.
54
1983
Minimum domains for spatial patterns in a class of reaction diffusion equations. Zbl 0526.92013
Murray, 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 0525.92001
Murray, J. D.
7
1983
On nonlinear convective dispersal effects in an interacting population model. Zbl 0514.92020
Murray, J. D.; Cohen, J. E. R.
4
1983
A non-linear analysis for spatial structure in a reaction-diffusion model. Zbl 0526.92001
Ochoa, Francisco Lara; Murray, J. D.
3
1983
A generalized diffusion model for growth and dispersal in a population. Zbl 0474.92013
Cohen, Donald S.; Murray, James D.
58
1981
Spiral wave solutions of practical reaction-diffusion systems. Zbl 0451.35075
Duffy, M. R.; Britton, N. F.; Murray, J. D.
11
1980
A pattern formation mechanism and its application to mammalian coat markings. Zbl 0447.92004
Murray, J. D.
2
1980
Propagation d’onde dans un système à enzyme immobilisee. Zbl 0391.65050
Kernevez, Jean-Pierre; Murray, James Dickson; Joly, Ghislaine; Duban, Marie-Claude; Thomas, Daniel
1
1978
Lectures on nonlinear-differentialequation models in biology. Zbl 0379.92001
Murray, J. D.
118
1977
Effect of the rate of oxygen consumption on muscle respiration. Zbl 0357.92004
Taylor, B. A.; Murray, J. D.
3
1977
Spatial structures in predator-prey communities - a nonlinear time delay diffusional model. Zbl 0335.92002
Murray, J. D.
12
1976
Asymptotic analysis. Zbl 0287.41016
Murray, J. D.
26
1974
On Burgers’ model equations for turbulence. Zbl 0267.76035
Murray, J. D.
3
1973
Perturbation effects on the decay of discontinuous solutions of nonlinear first order wave equations. Zbl 0207.10301
Murray, J. D.
12
1970
An asymptotic solution of a class of nonlinear wave equation: A model for the human torso under impulsive stress. Zbl 0195.39203
Murray, J. D.; Tayler, A. B.
1
1970
Singular perturbations of a class of nonlinear hyperbolic and parabolic equations. Zbl 0182.13701
Murray, J. D.
10
1968
Some basic aspects of one-dimensional incompressible particle-fluid two- phase flows. Zbl 0245.76081
Murray, J. D.
1
1967
A simple method for determining asymptotic forms of Navier-Stokes solutions for a class of large Reynolds number flows. Zbl 0168.46404
Murray, J. D.
1
1967
On the mathematics of fluidization. Part 1: Fundamental equations and wave propagation. Zbl 0125.44603
Murray, J. D.
29
1965
Incompressible viscous flow past a semi-infinite flat plate. Zbl 0142.43402
Murray, J. D.
5
1965
Incompressible slip flow past a semi-infinite flat plate. Zbl 0145.22702
Murray, J. D.
2
1965
Note on the propagation of disturbances in a liquid containing gas bubbles. Zbl 0129.19403
Murray, J. D.
1
1964
The boundary layer on a flat plate in a stream with uniform shear. Zbl 0102.41401
Murray, J. D.
10
1961
On the flow of a conducting fluid past a magnetized sphere. Zbl 0091.42703
Ludford, G. S. S.; Murray, J. D.
9
1960
The flow of a conducting fluid past a magnetized cylinder. Zbl 0114.42301
Murray, 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 0089.43101
Goldstein, S.; Murray, J. D.
1
1959
Flow with variable shear past circular cylinders. Zbl 0077.39104
Murray, J. D.; Mitchell, A. R.
1
1957
Two dimensional flow with constant shear past cylinders with various cross sections. Zbl 0065.18307
Mitchell, Andrew R.; Murray, James D.
3
1955
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

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