Robert M. Miura - Publications

Affiliations: 
New Jersey Institite of Technology, Newark, NJ, United States 
Area:
mathematical models of neuronal properties
Website:
http://m.njit.edu/~miura/

31/73 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2018 Yao W, Huang H, Miura RM. Role of Astrocyte in Cortical Spreading Depression: A Quantitative Model of Neuron-Astrocyte Network Communications in Computational Physics. 23. DOI: 10.4208/Cicp.Oa-2016-0262  0.309
2013 Miura RM, Huang H, Wylie JJ. Mathematical approaches to modeling of cortical spreading depression. Chaos (Woodbury, N.Y.). 23: 046103. PMID 24387582 DOI: 10.1063/1.4821955  0.353
2011 Yao W, Huang H, Miura RM. A continuum neuronal model for the instigation and propagation of cortical spreading depression. Bulletin of Mathematical Biology. 73: 2773-90. PMID 21404132 DOI: 10.1007/s11538-011-9647-3  0.381
2011 Huang H, Miura RM, Yao W. Asimplified neuronal model for the instigation and propagation of cortical spreading depression Advances in Applied Mathematics and Mechanics. 3: 759-773. DOI: 10.4208/aamm.10-m1052  0.329
2011 Rodrigo MR, Miura RM. Exact and approximate traveling waves of reaction-diffusion systems via a variational approach Analysis and Applications. 9: 187-199. DOI: 10.1142/S0219530511001807  0.321
2009 Wylie JJ, Huang H, Miura RM. Systems of coupled diffusion equations with degenerate nonlinear source terms: Linear stability and traveling waves Discrete and Continuous Dynamical Systems. 23: 561-569. DOI: 10.3934/dcds.2009.23.561  0.344
2007 Miura RM, Huang H, Wylie JJ. Cortical spreading depression: An enigma European Physical Journal: Special Topics. 147: 287-302. DOI: 10.1140/epjst/e2007-00214-8  0.341
2006 Wylie JJ, Miura RM. Traveling waves in coupled reaction-diffusion models with degenerate sources. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 74: 021909. PMID 17025474 DOI: 10.1103/PhysRevE.74.021909  0.31
2004 Reinker S, Puil E, Miura RM. Membrane resonance and stochastic resonance modulate firing patterns of thalamocortical neurons. Journal of Computational Neuroscience. 16: 15-25. PMID 14707541 DOI: 10.1023/B:Jcns.0000004838.67584.77  0.707
2003 Desjardins AE, Li YX, Reinker S, Miura RM, Neuman RS. The influences of Ih on temporal summation in hippocampal CA1 pyramidal neurons: a modeling study. Journal of Computational Neuroscience. 15: 131-42. PMID 14512744 DOI: 10.1023/A:1025881007453  0.688
2003 Reinker S, Puil E, Miura RM. Resonances and noise in a stochastic Hindmarsh-Rose model of thalamic neurons. Bulletin of Mathematical Biology. 65: 641-63. PMID 12875337 DOI: 10.1016/S0092-8240(03)00026-0  0.707
2003 Ran I, Miura RM, Puil E. Spermine modulates neuronal excitability and NMDA receptors in juvenile gerbil auditory thalamus. Hearing Research. 176: 65-79. PMID 12583882 DOI: 10.1016/S0378-5955(02)00746-3  0.345
2003 Li YX, Wang YQ, Miura R. Clustering in small networks of excitatory neurons with heterogeneous coupling strengths Journal of Computational Neuroscience. 14: 139-159. PMID 12567014 DOI: 10.1023/A:1021902717424  0.315
2000 Enns-Ruttan JS, Miura RM. Spontaneous secondary spiking in excitable cells. Journal of Theoretical Biology. 205: 181-99. PMID 10873431 DOI: 10.1006/jtbi.2000.2056  0.395
1996 Hutcheon B, Miura RM, Puil E. Models of subthreshold membrane resonance in neocortical neurons. Journal of Neurophysiology. 76: 698-714. PMID 8871192 DOI: 10.1152/Jn.1996.76.2.698  0.447
1996 Hutcheon B, Miura RM, Puil E. Subthreshold membrane resonance in neocortical neurons. Journal of Neurophysiology. 76: 683-97. PMID 8871191 DOI: 10.1152/Jn.1996.76.2.683  0.452
1994 Hutcheon B, Miura RM, Yarom Y, Puil E. Low-threshold calcium current and resonance in thalamic neurons: a model of frequency preference. Journal of Neurophysiology. 71: 583-94. PMID 8176427 DOI: 10.1152/Jn.1994.71.2.583  0.43
1994 Lange CG, Miura RM. Singular perturbation analysis of boundary-value problems for differential-difference equations. V. small shifts with layer behavior Siam Journal On Applied Mathematics. 54: 249-272. DOI: 10.1137/S0036139992228120  0.32
1994 Lange CG, Miura RM. Singular perturbation analysis of boundary-value problems for differential-difference equations. VI. small shifts with rapid oscillations Siam Journal On Applied Mathematics. 54: 273-283. DOI: 10.1137/S0036139992228119  0.329
1992 Pernarowski M, Miura RM, Kevorkian J. Perturbation techniques for models of bursting electrical activity in pancreatic b-cells Siam Journal On Applied Mathematics. 52: 1627-1650. DOI: 10.1137/0152094  0.339
1991 Lange CG, Miura RM. Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations. IV. A Nonlinear Example with Layer Behavior Studies in Applied Mathematics. 84: 231-273. DOI: 10.1002/sapm1991843231  0.301
1989 Puil E, Miura RM, Spigelman I. Consequences of 4-aminopyridine applications to trigeminal root ganglion neurons. Journal of Neurophysiology. 62: 810-20. PMID 2549215 DOI: 10.1152/Jn.1989.62.3.810  0.391
1987 Puil E, Gimbarzevsky B, Miura RM. Voltage dependence of membrane properties of trigeminal root ganglion neurons. Journal of Neurophysiology. 58: 66-86. PMID 3497235 DOI: 10.1152/Jn.1987.58.1.66  0.389
1986 Puil E, Gimbarzevsky B, Miura RM. Quantification of membrane properties of trigeminal root ganglion neurons in guinea pigs. Journal of Neurophysiology. 55: 995-1016. PMID 3711977 DOI: 10.1152/Jn.1986.55.5.995  0.417
1985 Lange CG, Miura RM. SINGULAR PERTURBATION ANALYSIS OF BOUNDARY-VALUE PROBLEMS FOR DIFFERENTIAL-DIFFERENCE EQUATIONS. III. TURNING POINT PROBLEMS Siam Journal On Applied Mathematics. 45: 708-734. DOI: 10.1137/0145042  0.309
1984 Gimbarzevsky B, Miura RM, Puil E. Impedance profiles of peripheral and central neurons. Canadian Journal of Physiology and Pharmacology. 62: 460-2. PMID 6733594 DOI: 10.1139/Y84-074  0.398
1982 Miura RM. Accurate computation of the stable solitary wave for the FitzHugh-Nagumo equations Journal of Mathematical Biology. 13: 247-269. DOI: 10.1007/BF00276063  0.328
1978 Tuckwell HC, Miura RM. A mathematical model for spreading cortical depression. Biophysical Journal. 23: 257-76. PMID 687764 DOI: 10.1016/S0006-3495(78)85447-2  0.404
1977 Cohen DS, Hoppensteadt FC, Miura RM. SLOWLY MODULATED OSCILLATIONS IN NONLINEAR DIFFUSION PROCESSES Siam Journal On Applied Mathematics. 33: 217-288. DOI: 10.1137/0133013  0.3
1976 Miura RM. The Korteweg–deVries Equation: A Survey of Results Siam Review. 18: 412-459. DOI: 10.1137/1018076  0.326
1974 Miura RM. Conservation Laws for the Fully Nonlinear Long Wave Equations Studies in Applied Mathematics. 53: 45-56. DOI: 10.1002/Sapm197453145  0.306
Low-probability matches (unlikely to be authored by this person)
1968 Miura RM. Korteweg-de Vries equation and generalizations. I. A remarkable explicit nonlinear transformation Journal of Mathematical Physics. 9: 1202-1204. DOI: 10.1063/1.1664700  0.298
1982 Lange CG, Miura RM. Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations Siam Journal On Applied Mathematics. 42: 502-531. DOI: 10.1137/0142036  0.297
1984 Miura RM. Nonlinear Wave Phenomena in the Brain North-Holland Mathematics Studies. 97: 409-421. DOI: 10.1016/S0304-0208(08)71282-9  0.293
2005 Steinberg B, Wang Y, Huang H, Miura RM. Spatial buffering mechanism: mathematical model and computer simulations. Mathematical Biosciences and Engineering : Mbe. 2: 675-702. PMID 20369947 DOI: 10.3934/Mbe.2005.2.675  0.29
2012 Chang JC, Chou T, He D, Huang H, Miura RM, Wilson PL, Wylie JJ, Brennan K. Interconnected neural, vascular, and metabolic dysfunction during cortical spreading depression: a mathematical model F1000research. 3. DOI: 10.7490/F1000Research.1090910.1  0.29
1968 Miura RM, Gardner CS, Kruskal MD. Korteweg-de Vries equation and generalizations. II. Existence of conservation laws and constants of motion Journal of Mathematical Physics. 9: 1204-1209. DOI: 10.1063/1.1664701  0.284
2013 Chang JC, Brennan KC, He D, Huang H, Miura RM, Wilson PL, Wylie JJ. A mathematical model of the metabolic and perfusion effects on cortical spreading depression. Plos One. 8: e70469. PMID 23967075 DOI: 10.1371/journal.pone.0070469  0.284
2001 Smith GD, Dai L, Miura RM, Sherman A. Asymptotic analysis of buffered calcium diffusion near a point source Siam Journal On Applied Mathematics. 61: 1816-1838. DOI: 10.1137/S0036139900368996  0.282
2002 Miura RM. Analysis of excitable cell models Journal of Computational and Applied Mathematics. 144: 29-47. DOI: 10.1016/S0377-0427(01)00550-7  0.282
1971 Miura RM, Barston EM. A singular perturbation analysis of theoretical models for warm inhomogeneous plasmas Journal of Plasma Physics. 6: 271-282. DOI: 10.1017/S0022377800006048  0.28
1974 Gardner CS, Greene JM, Kruskal MD, Miura RM. Korteweg‐devries equation and generalizations. VI. methods for exact solution Communications On Pure and Applied Mathematics. 27: 97-133. DOI: 10.1002/Cpa.3160270108  0.278
1985 Miura RM, Lange CG. Particular solutions of forced generalized Airy equations Journal of Mathematical Analysis and Applications. 109: 303-310. DOI: 10.1016/0022-247X(85)90151-9  0.277
1999 Dai L, Miura RM. Lattice cellular automata model for ion diffusion in the brain-cell microenvironment and determination of tortuosity and volume fraction Siam Journal On Applied Mathematics. 59: 2247-2273. DOI: 10.1137/S0036139997323942  0.276
2011 Huang H, Wylie JJ, Miura RM. Restricted diffusion in cellular media: (1+1)-dimensional model. Bulletin of Mathematical Biology. 73: 1682-94. PMID 20953725 DOI: 10.1007/s11538-010-9589-1  0.276
1997 Miura RM. A derivation of Gardner’s equation Methods and Applications of Analysis. 4: 134-140. DOI: 10.4310/Maa.1997.V4.N2.A3  0.273
2015 Wylie JJ, Huang H, Miura RM. Asymptotic analysis of a viscous thread extending under gravity Physica D: Nonlinear Phenomena. 313: 51-60. DOI: 10.1016/j.physd.2015.09.008  0.272
1977 Miura RM. Errata: The Korteweg—de Vries Equations: A Survey of Results Siam Review. 19. DOI: 10.1137/1019101  0.268
2008 Huang H, Miura RM, Wylie JJ. Optical fiber drawing and dopant transport Siam Journal On Applied Mathematics. 69: 330-347. DOI: 10.1137/070700176  0.262
2007 Wylie JJ, Huang H, Miura RM. Thermal instability in drawing viscous threads Journal of Fluid Mechanics. 570: 1-16. DOI: 10.1017/S0022112006002709  0.262
1999 Chen Y, Yan B, Miura R. Asymmetry and direction reversal in fluctuation-induced biased Brownian motion. Physical Review E. 60: 3771-3775. PMID 11970210 DOI: 10.1103/Physreve.60.3771  0.261
2007 Huang H, Wylie JJ, Miura RM, Howell PD. On the formation of glass microelectrodes Siam Journal On Applied Mathematics. 67: 630-666. DOI: 10.1137/050640722  0.259
1976 Miura RM. Linear and Nonlinear Waves (G. B. Whitham) Siam Review. 18: 776-781. DOI: 10.1137/1018130  0.257
2001 Yan B, Miura RM, Chen YD. Direction reversal of fluctuation-induced biased Brownian motion on distorted ratchets. Journal of Theoretical Biology. 210: 141-50. PMID 11371171 DOI: 10.1006/jtbi.2000.2288  0.255
2016 Chang JC, Miura RM. Regulatory inhibition of biological tissue mineralization by calcium phosphate through post-nucleation shielding by fetuin-A. The Journal of Chemical Physics. 144: 154906. PMID 27389239 DOI: 10.1063/1.4946002  0.254
2007 Howell PD, Wylie JJ, Huang H, Miura RM. Stretching of heated threads with temperature-dependent viscosity: Asymptotic analysis Discrete and Continuous Dynamical Systems - Series B. 7: 553-572. DOI: 10.3934/Dcdsb.2007.7.553  0.253
1978 Koga Y, Miura RM. Rate of polymorphic transformation between phases II and III of hexachloroethane Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases. 74: 1913-1921. DOI: 10.1039/F19787401913  0.25
2016 He D, Wylie JJ, Huang H, Miura RM. Extension of a viscous thread with temperature-dependent viscosity and surface tension Journal of Fluid Mechanics. 800: 720-752. DOI: 10.1017/jfm.2016.426  0.243
2000 Topp B, Promislow K, deVries G, Miura RM, Finegood DT. A model of beta-cell mass, insulin, and glucose kinetics: pathways to diabetes. Journal of Theoretical Biology. 206: 605-19. PMID 11013117 DOI: 10.1006/Jtbi.2000.2150  0.229
1995 Miura RM, Pernarowski M. Correlations of rates of insulin release from islets and plateau fractions for beta-cells. Bulletin of Mathematical Biology. 57: 229-46. PMID 7703919 DOI: 10.1016/0092-8240(94)00035-B  0.226
2003 Huang H, Miura RM, Ireland WP, Puil E. Heat-induced stretching of a glass tube under tension: Application to glass microelectrodes Siam Journal On Applied Mathematics. 63: 1499-1519. DOI: 10.1137/S0036139901393469  0.226
2013 Cheng Y, Tian B, Miura RM. Mathematical modeling of alternative polyadenylation in the human gene, CSTF3 Siam Journal On Applied Mathematics. 73: 1793-1810. DOI: 10.1137/120887266  0.207
2006 Cheng Y, Miura RM, Tian B. Prediction of mRNA polyadenylation sites by support vector machine. Bioinformatics (Oxford, England). 22: 2320-5. PMID 16870936 DOI: 10.1093/bioinformatics/btl394  0.202
2011 Wylie JJ, Huang H, Miura RM. Stretching of viscous threads at low Reynolds numbers Journal of Fluid Mechanics. 683: 212-234. DOI: 10.1017/jfm.2011.259  0.196
1985 Lange CG, Miura RM. SINGULAR PERTURBATION ANALYSIS OF BOUNDARY-VALUE PROBLEMS FOR DIFFERENTIAL-DIFFERENCE EQUATIONS. II. RAPID OSCILLATIONS AND RESONANCES Siam Journal On Applied Mathematics. 45: 687-707.  0.193
1974 Miura RM, Kruskal MD. Application of a Nonlinear WKB Method to the Korteweg–DeVries Equation Siam Journal On Applied Mathematics. 26: 376-395. DOI: 10.1137/0126036  0.185
1967 Gardner CS, Greene JM, Kruskal MD, Miura RM. Method for solving the Korteweg-deVries equation Physical Review Letters. 19: 1095-1097. DOI: 10.1103/Physrevlett.19.1095  0.178
2000 Miura RM. Lattice Boltzmann equation model for ion movements in the brain-cell microenvironment Annals of Biomedical Engineering. 28: S-111-S-112.  0.137
1970 Kruskal MD, Miura RM, Gardner CS, Zabusky NJ. Korteweg-deVries equation and generalizations. V. Uniqueness and nonexistence of polynomial conservation laws Journal of Mathematical Physics. 11: 952-960. DOI: 10.1063/1.1665232  0.134
2016 Chang JC, Miura RM. Regulatory inhibition of biological tissue mineralization by calcium phosphate through post-nucleation shielding by fetuin-A Journal of Chemical Physics. 144. DOI: 10.1063/1.4946002  0.117
1998 De Vries G, Miura RM. Analysis of a class of models of bursting electrical activity in pancreatic β-cells Siam Journal On Applied Mathematics. 58: 607-635.  0.079
1992 Pernarowski M, Miura RM, Kevorkian J. Perturbation techniques for models of bursting electrical activity in pancreatic β-cells pancreatic β-cells Siam Journal On Applied Mathematics. 52: 1627-1650.  0.063
1982 Percus J, Miura RM. Book reviews Journal of Statistical Physics. 28: 615-618. DOI: 10.1007/BF01008330  0.01
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