James Dickson Murray

James Dickson Murray's AcademicInfluence.com Rankings

Mathematics

#7800

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Applied Mathematics

#160

Historical Rank

Measure Theory

#1049

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Mathematics

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James Dickson Murray's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion (2003) (563)
Mechanical aspects of mesenchymal morphogenesis. (1983) (459)
Scale Effects in Animal Locomotion. (1978) (428)
Lectures on nonlinear-differential-equation models in biology (1977) (424)
A quantitative model for differential motility of gliomas in grey and white matter (2000) (418)
Models of epidermal wound healing (1990) (389)
Climate policy: Oil's tipping point has passed (2012) (363)
A Pre-pattern formation mechanism for animal coat markings (1981) (345)
A mathematical model of glioma growth: the effect of chemotherapy on spatio‐temporal growth (1995) (278)
On the spatial spread of the grey squirrel in Britain (1989) (268)
Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy (2002) (263)
EVOLUTION AND MORPHOGENETIC RULES: THE SHAPE OF THE VERTEBRATE LIMB IN ONTOGENY AND PHYLOGENY (1988) (252)
On the spatial spread of rabies among foxes (1986) (233)
Spatio-temporal patterns generated by Salmonella typhimurium. (1995) (224)
How the Leopard Gets Its Spots. (1988) (224)
On the mathematics of fluidization Part 1. Fundamental equations and wave propagation (1965) (208)
A generalized diffusion model for growth and dispersal in a population (1981) (207)
Cell traction models for generating pattern and form in morphogenesis (1984) (199)
On pattern formation mechanisms for lepidopteran wing patterns and mammalian coat markings. (1981) (194)
Encyclopedia of graphics file formats (1994) (189)
A mechanical model for the formation of vascular networks in vitro (1996) (183)
On the spatial spread of rabies among foxes. (1992) (182)
A mathematical model of glioma growth: the effect of extent of surgical resection (1996) (181)
On a diffusive prey--predator model which exhibits patchiness. (1978) (178)
Modelling territoriality and wolf–deer interactions (1993) (177)
Parameter space for turing instability in reaction diffusion mechanisms: a comparison of models. (1982) (161)
The interaction of growth rates and diffusion coefficients in a three-dimensional mathematical model of gliomas. (1997) (160)
Continuum model of fibroblast-driven wound contraction: inflammation-mediation. (1992) (158)
Spatial models and biomedical applications (2003) (157)
A mechanical model for mesenchymal morphogenesis (1983) (155)
A model for chondrogenic condensations in the developing limb: the role of extracellular matrix and cell tractions. (1985) (153)
Generation of biological pattern and form. (1984) (144)
A simple model for the spatial spread and control of rabies. (1985) (139)
Mechanochemical models for generating biological pattern and form in development (1988) (129)
On the mathematics of fluidization Part 2. Steady motion of fully developed bubbles (1965) (128)
Pattern formation models and developmental constraints. (1989) (127)
Spiral waves of cyclic amp in a model of slime mold aggregation (1989) (127)
Mathematical analysis of a basic model for epidermal wound healing (1991) (122)
Quantifying Efficacy of Chemotherapy of Brain Tumors with Homogeneous and Heterogeneous Drug Delivery (2002) (115)
The Extinction of Endemic Species by a Program of Biological Control (1984) (111)
Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation. (1991) (109)
Cyclic AMP waves during aggregation of Dictyostelium amoebae. (1989) (109)
Pigmentation pattern formation on snakes. (1991) (104)
Pattern sensitivity to boundary and initial conditions in reaction-diffusion models (1986) (103)
MULTIPLE MATING AND EFFECTIVE POPULATION SIZE IN CEPAEA NEMORALIS (1964) (93)
On the mechanochemical theory of biological pattern formation with application to vasculogenesis. (2003) (87)
A mathematical model of self-organized pattern formation on the combs of honeybee colonies (1990) (87)
Is morphogenesis an intrinsically robust process? (1993) (86)
The mathematics of marital conflict : Dynamic mathematical nonlinear modeling of newlywed marital interaction (1999) (86)
THE MODELLING OF DIFFUSIVE TUMOURS (1995) (83)
The Existence of Oscillatory Solutions in the Field–Noyes Model for the Belousov–Zhabotinskii Reaction (1975) (82)
Experimental and Theoretical Advances in Biological Pattern Formation (1993) (76)
Transient dynamics and pattern formation: reactivity is necessary for Turing instabilities. (2002) (75)
Mechanistic model of wound contraction. (1993) (70)
Virtual resection of gliomas: Effect of extent of resection on recurrence (2003) (67)
A Model for Wolf-Pack Territory Formation and Maintenance (1996) (66)
Discussion: Turing's theory of morphogenesis—Its influence on modelling biological pattern and form (1990) (63)
On travelling wave solutions in a model for the Belousov-Zhabotinskii reaction. (1976) (62)
Mathematics of Marital Conflict: Qualitative Dynamic Mathematical Modeling of Marital Interaction (1995) (60)
On the role of myoglobin in muscle respiration. (1974) (60)
On the kinetics of suicide substrates. (1990) (58)
Size-dependent pigmentation-pattern formation in embryos of Alligator mississippiensis: time of initiation of pattern generation mechanism (1990) (57)
A quantitative model for the dynamics of serum prostate-specific antigen as a marker for cancerous growth: an explanation for a medical anomaly. (2001) (57)
Mathematical models of wound healing in embryonic and adult epidermis. (1992) (56)
A mechanism for early branching in lung morphogenesis (1995) (56)
Chemical control of eukaryotic cell movement: a new model. (1993) (53)
Non-existence of wave solutions for the class of reaction--diffusion equations given by the Volterra interacting-population equations with diffusion. (1975) (52)
Dynamics of a model for brain tumors reveals a small window for therapeutic intervention (2003) (49)
On the effect of temperature-dependent sex determination on sex ratio and survivorship in crocodilians (1993) (47)
Analysis of a model for complex skin patterns (1990) (46)
The Role of Development in Macroevolutionary Change Group Report (1982) (45)
A cellk kinetics justification for Gompertz' equation (1986) (45)
The boundary layer on a flat plate in a stream with uniform shear (1961) (44)
Nonlinear pattern selection in a mechanical model for morphogenesis (1986) (44)
Method of steepest descents (1984) (42)
Analysis of a model for wolf territories (1997) (42)
Article Commentary: Epidermal Wound Healing: The Clinical Implications of a Simple Mathematical Model (1992) (41)
Minimum domains for spatial patterns in a class of reaction diffusion equations (1983) (41)
Encyclopedia of graphics file formats (2nd ed.) (1996) (41)
Modelling of Patterns in Space and Time (1984) (40)
Sequential pattern formation in a model for skin morphogenesis. (1992) (40)
Pattern formation of scale cells in lepidoptera by differential origin-dependent cell adhesion (1999) (39)
Biological Pattern Formation on Two-Dimensional Spatial Domains: A Nonlinear Bifurcation Analysis (1997) (39)
On a Model Mechanism for the Spatial Patterning of Teeth Primordia in the Alligator (1996) (39)
What should be the focus of emotion regulation in children? A nonlinear dynamic mathematical model of children's peer interaction in groups (1997) (38)
Complex spatial patterns from tissue interactions—an illustrative model (1987) (37)
A simple method for obtaining approximate solutions for a class of diffusion-kinetics enzyme problems: I. General class and illustrative examples (1968) (37)
Analysis of wave phenomena in a morphogenetic mechanochemical model and an application to post-fertilization waves on eggs (1987) (35)
On a model for the temporal oscillations in the Belousov‐Zhabotinsky reaction (1974) (34)
Facilitated diffusion. The case of carbon monoxide. (1971) (34)
Singular perturbation methods (1984) (33)
On a tissue interaction model for skin pattern formation (1992) (33)
Perturbation Effects on the Decay of Discontinuous Solutions of Nonlinear First Order Wave Equations (1970) (32)
A Mechanical Theory of In Vitro Vascular Network Formation (1996) (32)
Analysis of propagating pattern in a chemotaxis system (1992) (31)
Spiral Wave Solutions of Practical Reaction-Diffusion Systems (1980) (31)
Wolf-deer interactions: a mathematical model (1996) (31)
PARAMETER DOMAINS FOR GENERATING SPATIAL PATTERN: A COMPARISON OF REACTION–DIFFUSION AND CELL-CHEMOTAXIS MODELS (1995) (31)
A simple method of parameter space determination for diffusion-driven instability with three species (2001) (30)
Competition in a spatially heterogeneous environment: modelling the risk of spread of a genetically engineered population. (1996) (29)
A MECHANICAL MODEL FOR FIBROBLAST-DRIVEN WOUND HEALING (1995) (29)
A nonlinear analysis of a mechanical model for biological pattern formation (1988) (28)
On the flow of a conducting fluid past a magnetized sphere (1960) (26)
A geometrical approach to wave-type solutions of excitable reaction-diffusion systems (1991) (26)
Spatial structures in predator-prey communities— a nonlinear time delay diffusional model (1976) (25)
Glioblastoma brain tumours: estimating the time from brain tumour initiation and resolution of a patient survival anomaly after similar treatment protocols (2012) (24)
Dermal Wound Healing (1993) (24)
A mathematical model for cell population kinetics in the intestine. (1982) (24)
Viscous damping of gravity waves over a permeable bed (1965) (23)
Singular Perturbations of a Class of Nonlinear Hyperbolic and Parabolic Equations (1968) (23)
Spatial pattern formation in biology: I. Dermal wound healing. II. Bacterial patterns (1998) (23)
On the Gunn effect and other physical examples of perturbed conservation equations (1970) (23)
Pattern formation in integrative biology--a marriage of theory and experiment. (2000) (22)
Epidermal wound healing: a theoretical approach (1992) (21)
A new approach to the generation of pattern and form in embryology. (1986) (20)
A Pattern Formation Mechanism and Its Application to Mammalian Coat Markings (1980) (20)
Analysis of propagating pattern in a chemotaxis system. (1992) (20)
On Burgers' model equations for turbulence (1973) (20)
A resolution of the chemotactic wave paradox (1994) (18)
On the mechanical theory for biological pattern formation (1993) (18)
A non-linear analysis for spatial structure in a reaction-diffusion model (1983) (18)
Steady-state spatial patterns in a cell-chemotaxis model. (1989) (18)
Threshold analysis of a drug use epidemic model (1981) (17)
Effect of the rate of oxygen consumption on muscle respiration (1977) (17)
Epidemic Models and the Dynamics of Infectious Diseases (1989) (17)
Analysis of stable two-dimensional patterns in contractile cytogel (1991) (17)
Emotion, Development, and Self-Organization: Theoretical and Mathematical Modeling of Marriage (2000) (17)
Travelling waves in a tissue interaction model for skin pattern formation (1994) (17)
Analysis of dynamic and stationary pattern formation in the cell cortex (1992) (16)
Facilitated diffusion: The problem of boundary conditions (1973) (16)
Modeling the Spread of Rabies (1987) (15)
Incompressible viscous flow past a semi-infinite flat plate (1965) (15)
Spatial Structures in a Model Substrate-Inhibition Reaction Diffusion System (1978) (14)
Suicide substrate reaction--diffusion equations: varying the source. (1993) (14)
On the viscosity of a fluidized system (1967) (14)
Models for Interacting Populations (1993) (13)
Pattern selection in biological pattern formation mechanisms (1991) (12)
Compact set valued flows II : applications in biological modelling (1997) (12)
FLOW WITH VARIABLE SHEAR PAST CIRCULAR CYLINDERS (1957) (12)
Pattern formation in Lepidopteran wings (1998) (11)
A simple method for obtaining approximate solutions for a class of diffusion-kinetics enzyme problems: II. Further examples and nonsymmetric problems (1968) (11)
Encyclopedia of graphics file formats, 2nd Edition (1996) (11)
On a dynamic reaction–diffusion mechanism: the spatial patterning of teeth primordia in the alligator (1996) (11)
On the use of quantitative modeling to help understand prostate-specific antigen dynamics and other medical problems. (2003) (11)
Why are there no 3-headed monsters? Mathematical modeling in Biology (2012) (11)
On the quasi-steady-state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion (1991) (11)
On the mathematics of exchange processes in fixed columns. III The solution for general entry conditions, and a method of obtaining asymptotic expressions (1959) (10)
Parameter domains for spots and stripes in mechanical models for biological pattern formation (1995) (10)
Formation of microvilli (1985) (10)
Initial motion of a bubble in a fluidized bed Part 1. Theory (1967) (10)
Vignettes from the field of mathematical biology: the application of mathematics to biology and medicine (2012) (9)
Oscillatory phenomena in biological systems (1977) (9)
Pattern Formation Models and Developmental (1989) (9)
Threshold, wave and cell-cell avalanche behaviour in a class of substrate inhibition oscillators. (1979) (9)
A mechanical model for biological pattern formation: A nonlinear bifurcation analysis (1985) (9)
Pattern Formation in Tissue Interaction Models (1994) (9)
Continuous Population Models for Single Species (1993) (9)
On the mathematics of exchange processes in fixed columns. V. The equilibrium-theory and perturbation solutions, and their connexion with kinetic-theory solutions, for general entry conditions (1959) (8)
Threshold bifurcation in tissue interaction models for spatial pattern generation (1994) (8)
Incompressible slip flow past a semi-infinite flat plate (1965) (8)
An Asymptotic Solution of a Class of Nonlinear Wave Equations: A Model for the Human Torso Under Impulsive Stress (1970) (8)
Spatial Pattern Formation with Reaction Diffusion Systems (1993) (8)
Tracking bifurcating solutions of a model biological pattern generator (1991) (7)
Genetic and ecological diversity: The sport of nature (1991) (7)
An Envelope Method for Analyzing Sequential Pattern Formation (2000) (7)
Note on the propagation of disturbances in a liquid containing gas bubbles (1964) (6)
Discrete Population Models for a Single Species (1993) (6)
Growth and Control of Brain Tumours (1993) (6)
A model for the spatial patterning of teeth primordia in the alligator : initiation of the dental determinant (1993) (6)
On Nonlinear Convective Dispersal Effects in an Interacting Population Model (1983) (6)
Biological Oscillators and Switches (1993) (5)
Reaction Diffusion, Chemotaxis and Non-local Mechanisms (1993) (5)
Biological Waves: Single Species Models (1993) (5)
Theories of biological pattern formation - Introductory remarks (1981) (5)
Strong cylindrical shock waves in magnetogasdynamics (1961) (5)
A Simple Method for Determining Asymptotic Forms of Navier‐Stokes Solutions for a Class of Large Reynolds Number Flows (1967) (5)
The flow of a conducting fluid past a magnetized cylinder (1960) (5)
Method of stationary phase (1984) (5)
Belousov-Zhabotinskii Reaction (1989) (4)
Modelling the spatial patterning of the teeth primordia in the lower jaw of Alligator mississippiensis (1995) (4)
Pattern formation mechanisms – a comparison of reaction-diffusion and mechanochemical models (1989) (4)
Bacterial Patterns and Chemotaxis (1993) (4)
Two Dimensional Pattern Formation In a Chemotactic System (1990) (4)
Mechanical Models for Generating Pattern and Form in Development (1993) (4)
Splitting of cell clusters and bifurcation of bryozoan branches (1989) (4)
The effect of carbon monoxide on haem-facilitated oxygen diffusion. (1977) (4)
On wolf territoriality and deer survival (1998) (4)
Multi-Species Waves and Practical Applications (1993) (4)
Resolving the chemotactic wave paradox: A mathematical model for chemotaxis of Dictyostelium amoebae (1995) (4)
ANALYSIS OF A MODEL BIOLOGICAL SWITCH. (1985) (4)
Continuous Models for Interacting Populations (1989) (4)
A nonlinear analysis of a mechanical model for pattern formation (1988) (4)
Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms (1993) (4)
Use and Abuse of Fractals (1993) (4)
Sequential and Synchronous Skin Pattern Formation (1993) (4)
General Models of Pattern Formation: Some Uses, Problems and Successes (1993) (4)
Pattern formation, biological (1998) (3)
A Mechanical Theory of Vascular Network Formation (1993) (3)
On the Growth of Brain Tumours: enhancing imaging techniques, highlighting limitations of current imaging, quantifying therapy efficacy and estimating patient life expectancy (2011) (3)
The Cortical Tractor: A New Model For Epithelial Morphogenesis (1987) (3)
Spatial Pattern Formation with Reaction/Population Interaction Diffusion Mechanisms (1989) (3)
Geographic Spread and Control of Epidemics (1993) (3)
Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation (1991) (3)
Bifurcating Spatial Patterns Arising from Travelling Waves in a Tissue Interaction Model (1994) (3)
Biological Waves: Multi-Species Reaction Diffusion Models (1989) (3)
NON-UNIFORM SHEAR FLOW PAST CYLINDERS (1957) (3)
On the effect of drainage on free surface oscillations (1968) (2)
A new hydrogen cloud in Pixis-Hydra (1958) (2)
Theory of the rotational contribution to facilitated diffusion. (1986) (2)
Epidermal Wound Healing (1993) (2)
Two dimensional flow with constant shear past cylinders with various cross sections (1955) (2)
BZ Oscillating Reactions (1993) (2)
After Turing: Mathematical Modelling in the Biomedical and Social Sciences - From Animal Coat Patterns to Brain Tumours to Saving Marriages (2012) (2)
Dynamics of Infectious Diseases: Epidemic Models and AIDS (1993) (1)
OJ287 - a 15.7-minute periodicity? (1988) (1)
Laplace’s method for integrals (1984) (1)
Oscillator Generated Wave Phenomena and Central Pattern Generators (1993) (1)
Transient spatial patterns in plankton communities: Blooms and traveling waves of phytoplankton in estuaries (1988) (1)
Theories of biological pattern formation : a Royal Society discussion held on 25 and 26 March 1981 (1981) (1)
SPH simulations of accretion disks in cataclysmic variables. (Dissertation summary). (1995) (1)
On a Mechanical Model for Morphogenesis: Mesenchymal Patterns (1984) (1)
Pattern Formation on Growing Domains: Alligators and Snakes (1993) (1)
Perturbed and Coupled Oscillators and Black Holes (1993) (1)
Pattern sensitivity to boundary and initial conditions in reaction diffusion models of pattern formation. (1986) (1)
Biological Pattern Formation — A Marriage of Theory and Experiment (2001) (1)
Geographic Spread of Epidemics (1989) (1)
An Analysis of One- and Two-Dimensional Patterns in a Mechanical Model for Morphogenesis (1986) (1)
5904 Facilitated Di $ usion : The Case of Carbon Monoxide (2002) (0)
MECHANOCHEMICAL MODELSFOR GENERATING BIOLOGICAL PATTERN ANDFORMIN DEVELOPMENT (1988) (0)
Rotational flow in fluid dynamics (1955) (0)
THE GEOMETRY OF BIOLOGICAL TIME (1981) (0)
Modelling the Dynamics of Marital Interaction: Divorce Prediction and Marriage Repair (1993) (0)
List of contributors**Where a paper is by more than two authors, only the first is listed below. (1989) (0)
Wolf Territoriality, Wolf-Deer Interaction and Survival (1993) (0)
Travelling Waves in Reaction Diffusion Systems with Weak Diffusion: Analytical Techniques and Results (1989) (0)
Temperature-Dependent Sex Determination (TSD): Crocodilian Survivorship (1993) (0)
Evolution and Developmental Programmes (1989) (0)
Bifurcating spatial patterns in a cell-chemotaxis model (1993) (0)
Two dimensional compressible shear flow in a channel (1957) (0)
Oil Production, The Price Crash and Uncertainty in Climate Change (2015) (0)
Forces and pattern in limb morphogenesis (1984) (0)
Mathemati l Modeling of Biological Sys ems VMB 631 ( CRN 56851 ) Spring Quarter 2018 Tuesdays 2 : 00 PM – 3 : 20 PM & Thursdays (2018) (0)
Collision with an Iceberg (1896) (0)
Neural Models of Pattern Formation (1993) (0)
EFFECT OF AGGREGATION ON POPULATION RECOVERY MODELED BY A FORWARD-BACKWARD PSEUDOPARABOLIC EQUATION (2004) (0)
Mathematical stimulus for biologists (1981) (0)
Modelling of patterns in space and time : proceedings of a workshop held by the Sonderforschungsbereich 123 at Heidelberg, July 4-8, 1983 (1984) (0)
Complex pattern formation in embryology: models, mathematics, and biological implications (1992) (0)
Discrete Growth Models for Interacting Populations (1989) (0)

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James Dickson Murray's Academic­Influence.com Rankings

Why Is James Dickson Murray Influential?

James Dickson Murray's Published Works

Published Works

What Schools Are Affiliated With James Dickson Murray?

James Dickson Murray's AcademicInfluence.com Rankings