Robert M. Miura
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Robert M. Miuramathematics Degrees
Mathematics
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Applied Mathematics
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Measure Theory
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#1920
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Mathematics
Robert M. Miura's Degrees
- PhD Mathematics University of Tokyo
- Masters Mathematics University of Tokyo
- Bachelors Mathematics University of Tokyo
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(Suggest an Edit or Addition)Robert M. Miura'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
- Method for solving the Korteweg-deVries equation (1967) (3668)
- Korteweg‐de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion (1968) (813)
- Korteweg-devries equation and generalizations. VI. methods for exact solution (1974) (739)
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation (1968) (738)
- The Korteweg–deVries Equation: A Survey of Results (1976) (578)
- Subthreshold membrane resonance in neocortical neurons. (1996) (275)
- A Model of β -Cell Mass, Insulin, and Glucose Kinetics: Pathways to Diabetes (2000) (233)
- Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations (1982) (222)
- Korteweg‐deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws (1970) (178)
- Quantification of membrane properties of trigeminal root ganglion neurons in guinea pigs. (1986) (176)
- Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations. V. Small Shifts with Layer Behavior (1994) (169)
- Models of subthreshold membrane resonance in neocortical neurons. (1996) (162)
- A mathematical model for spreading cortical depression. (1978) (162)
- Some mathematical questions in biology : DNA sequence analysis (1986) (156)
- Bäcklund transformations, the inverse scattering method, solitons, and their applications : proceedings of the NSF Research Workshop on Contact Transformations, held in Nashville, Tennessee, 1974 (1976) (143)
- Asymptotic Analysis of Buffered Calcium Diffusion near a Point Source (2001) (137)
- Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations. VI. Small Shifts with Rapid Oscillations (1994) (131)
- Prediction of mRNA polyadenylation sites by support vector machine (2006) (126)
- Low-threshold calcium current and resonance in thalamic neurons: a model of frequency preference. (1994) (88)
- A model of beta-cell mass, insulin, and glucose kinetics: pathways to diabetes. (2000) (72)
- Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations III. Turning Point Problems (1985) (67)
- A Mathematical Model of the Metabolic and Perfusion Effects on Cortical Spreading Depression (2012) (60)
- Accurate computation of the stable solitary wave for the FitzHugh-Nagumo equations (1982) (55)
- Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Quations II. Rapid Oscillations and Resonances (1985) (51)
- Consequences of 4-aminopyridine applications to trigeminal root ganglion neurons. (1989) (49)
- Application of a Nonlinear WKB Method to the Korteweg–DeVries Equation (1974) (47)
- Nonlinear Phenomena in Physics and Biology (1981) (42)
- Cortical spreading depression: An enigma (2007) (42)
- A Continuum Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression (2011) (40)
- Perturbation techniques for models of bursting electrical activity in pancreatic b-cells (1992) (39)
- Singular perturbation analysis of boundary value problems for differential-difference equations. IV: A nonlinear example with layer behavior (1991) (33)
- Impedance profiles of peripheral and central neurons. (1984) (32)
- Resonances and noise in a stochastic Hindmarsh-Rose model of thalamic neurons (2003) (30)
- Slowly Modulated Oscillations in Nonlinear Diffusion Processes (1977) (28)
- The Influences of Ih on Temporal Summation in Hippocampal CA1 Pyramidal Neurons: A Modeling Study (2003) (27)
- Conservation Laws for the Fully Nonlinear Long Wave Equations (1974) (26)
- Membrane Resonance and Stochastic Resonance Modulate Firing Patterns of Thalamocortical Neurons (2004) (25)
- Clustering in Small Networks of Excitatory Neurons with Heterogeneous Coupling Strengths (2003) (25)
- Heat-Induced Stretching of a Glass Tube Under Tension: Application to Glass Microelectrodes (2003) (23)
- Spatial buffering mechanism: mathematical model and computer simulations. (2005) (21)
- Traveling waves in coupled reaction-diffusion models with degenerate sources. (2006) (20)
- Thermal instability in drawing viscous threads (2007) (19)
- Voltage dependence of membrane properties of trigeminal root ganglion neurons. (1987) (18)
- A Lattice Cellular Automata Model for Ion Diffusion in the Brain-Cell Microenvironment and Determination of Tortuosity and Volume Fraction (1999) (16)
- On the Formation of Glass Microelectrodes (2007) (16)
- Analysis of excitable cell models (2002) (14)
- Analysis of a Class of Models of Bursting Electrical Activity in Pancreatic Beta-Cells (1998) (14)
- Mathematical approaches to modeling of cortical spreading depression. (2013) (13)
- Asymptotic analysis of equations for the buffered diffusion of intracellular Ca2 (2001) (12)
- Correlations of rates of insulin release from islets and plateau fractions for beta-cells. (1995) (12)
- The Sherman-Rinzel-Keizer Model for Bursting Electrical Activity in the Pancreatic β-Cell (1991) (12)
- Stretching of viscous threads at low Reynolds numbers (2011) (11)
- Spermine modulates neuronal excitability and NMDA receptors in juvenile gerbil auditory thalamus (2003) (11)
- Optical Fiber Drawing and Dopant Transport (2008) (10)
- Particular solutions of forced generalized Airy equations (1985) (9)
- A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression (2011) (9)
- Correlations of rates of insulin release from islets and plateau fractions for β-cells (1995) (9)
- EXACT AND APPROXIMATE TRAVELING WAVES OF REACTION-DIFFUSION SYSTEMS VIA A VARIATIONAL APPROACH (2011) (9)
- Regulatory inhibition of biological tissue mineralization by calcium phosphate through post-nucleation shielding by fetuin-A. (2015) (8)
- Restricted Diffusion in Cellular Media: (1+1)-Dimensional Model (2011) (7)
- Some mathematical questions in biology : plant biology (1986) (6)
- Extension of a viscous thread with temperature-dependent viscosity and surface tension (2016) (5)
- Errata: The Korteweg—de Vries Equations: A Survey of Results (1977) (5)
- Relative Convergence of the Solution of a Doubly Infinite Set of Equations (2010) (5)
- Elevated Temperature Elastic-Plastic-Creep Test of an Elbow Subjected to In-Plane Moment Loading (1977) (5)
- Stretching of Heated Threads With Temperature-Dependent Viscosity: Asymptotic Analysis (2007) (5)
- Spontaneous secondary spiking in excitable cells. (2000) (5)
- Asymptotic analysis of a viscous thread extending under gravity (2015) (5)
- Systems of coupled diffusion equations with degenerate nonlinear source terms: Linear stability and traveling waves (2008) (4)
- Some mathematical questions in biology, neurobiology (1982) (4)
- An Introduction to Solitons and the Inverse Scattering Method via the Korteweg–deVries Equation (1978) (4)
- ROTATING WAVES IN MODELS OF EXCITABLE MEDIA (1981) (4)
- A derivation of Gardner’s equation (1997) (4)
- Rate of polymorphic transformation between phases II and III of hexachloroethane (1978) (4)
- Nonlinear Waves in Neuronal Cortical Structures (1981) (3)
- Some mathematical questions in biology : muscle physiology (1986) (3)
- Role of Astrocyte in Cortical Spreading Depression: A Quantitative Model of Neuron-Astrocyte Network (2018) (2)
- A singular perturbation analysis of theoretical models for warm inhomogeneous plasmas (1971) (2)
- Nonlinear Wave Phenomena in the Brain (1984) (2)
- A Continuum Neuronal Model for the Propagation of Cortical Spreading Depression (2009) (1)
- Genome analysis Prediction of mRNA polyadenylation sites by support vector machine (2006) (1)
- Evaluation of Degree of Structural-acoustic Coupling Based on Experiment and Numerical Simulation (1994) (1)
- Linear and Nonlinear Waves (G. B. Whitham) (1976) (1)
- Regulation of calcium phosphate sedimentation in biological fluids through post-nucleation shielding (2015) (0)
- Diffusion in a Cellular Medium: A (1+1)-Dimensional Model (2009) (0)
- Mathematical Modelling of Macroscopic Brain Phenomena (1987) (0)
- Mediators of mechanotransduction between bone cells (2009) (0)
- Regulation of biological tissue mineralization through post-nucleation shielding (2015) (0)
- Analysis, Computations, and Experiments on Pinch-Off in Liquid Jets (05frg060) (2005) (0)
- Discovery and Assessment of New Target Sites for Anti-HIV Therapies (2008) (0)
- ASimplifiedNeuronalModel for the Instigation and Propagation of Cortical Spreading Depression (2011) (0)
- Regulatory inhibition of biological tissue mineralization through post-nucleation shielding (2016) (0)
- Focussed Research Group on Spreading Cortical Depression and Related Phenomena (10frg116) (2010) (0)
- Interconnected Neural, Vascular, and Metabolic Dysfunction during Cortical Spreading Depression: A Mathematical Model (2012) (0)
- Book reviews (1982) (0)
- Neurovascular Coupling During Cortical Spreading Depression: A Mathematical Model (2012) (0)
- Mathematical Modeling of Alternative Polyadenylation in the Human Gene, CSTF3 (2013) (0)
- Cerebral Blood Flow , Neurovascular Coupling , and Cortical Spreading Depression (2013) (0)
- ASYMPTOTIC ANALYSIS OF BUFFERED CALCIUM DIFFUSION (2001) (0)
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