LBM/MRB Publications

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YearAuthorsTitleJournalNumber
2004Richard Bertram, Les Satin, Min Zhang, Paul Smolen, and Arthur ShermanCalcium and Glycolysis Mediate Multiple Bursting Modes in Pancreatic IsletsBiophysical Journal Vol. 87109
2003John Legato,Mark A. Knepper, Robert A. Star and Raymond MejiaDatabase for renal collecting duct regulatory and transporter proteinsPhysiol Genomics108B
2002P.B. Goforth, R. Bertram, F.A. Khan, M. Zhang, A. Sherman, and L.S. SatinCalcium-activated K+ Channels of Mouse B-cells are controlled by Both Store and Cytoplasmic Ca2+: Experimental and Theoretical StudiesJ. Gen. Physiol 108A
2001Raymond Mejia and James B. WadeImmunomorphometric study of rat renal inner medullaAm J Physiol Renal Physiol 282107B
2001Gregory D. Smith, Longxiang Dai, Robert M. Miura and Arthur ShermanAsymptotic Analysis of Buffered Calcium Diffusion Near A Point SourceSIAM J. Appl. Math107A
2001Yi-der Chen, Bo YanTheoretical formalism for bead movement powered by single two-headed motors in a motility assayBiophysical Chemistry106A
2001Gerda DeVries, Arthur Sherman From Spikers to Bursters Via Coupling: Help From HeterogeneityBulletin of Mathematical Biology105B
2001Yi-der Chen, Bo Yan, Joseph M. Chalovich, Bernard BrennerTheoretical Kinetic Studies of Models for Binding Myosin Subfragment-1 to regulated Actin: Hill Model versus Geeves ModelBiophysical Journa, Volume 80, 2338-2349105A
2000Bo Yan, Robert M. Miura,Yi-Der ChenDirection Reversal of Fluctuation-induced Biased Brownian Motion on Distorted RatchetsJ. Theor. Biology106B
2000Arthur Sherman and Gerda De VriesChannel Sharing in Pancreatic B-Cells Revisited: Enhancement of Emergent Bursting by NoiseJ. Theor. Biology 207, 513-530104
2000Andrew P. LeBeau,Frederick Van Goor, Stanko S. Stojikovic, and Arthur ShermanModeling of Membrane Excitability in Gonadotropin-Releasing Hormone-Secreting Hypothalamic Neurons Regulated by Ca2+-Mobilizing and Adenylyl Cyclase-Coupled ReceptorsNeuroscience, December 15,2000103
2000Richard Bertram, Joseph Previte, Arthur Sherman, Tracie Kinard, Leslie StatinThe Phantom Burster Model for Pancreatic B-CellsBiophysical Journal, Volume 79102
2000Yi-der ChenTheoretical Formalism for Kinesin Motility I. Bead Movement Powered by Single One-Headed KinesinsBiophysical Journal Vol. 78 313-321101B
1999Yi-der Chen, Bo Yan,and Robert MiuraAsymmetry and direction reversal in fluctuation-induced biased Brownian motionPhysical Review Vol.60 No.4101A
1999T.A. Kinard, G. deVries, A. Sherman, and L.S. SatinModulation of the Bursting Properites of Single Mouse Pancreatic /Cells by Artificial ConductancesBiophysical Journal Volume 76 -1423-1435100
1999R. BertramModeling Study of the Effects of Overlapping CA2+ Microdomains on Neurotransmitter ReleaseBiophysical Journal Vol.76 pp. 735-75099
1998G. De VriesDifusiively Coupled Bursters: Effect of Cell Heterogeneity"Bulletin of Mathematical Biology Vol. 60, pp. 1167-1200"98
1998G. De Vries Analysis of a Class of Models of BurstingSIAM J. APPL. MATH97
1998"R. Butera, Jr."Multirhythmic burstingCHAOS96
1998G. de VriesMultiple Bifurcations in a Polynomial Model of Bursting OscillationsJ. Nonlinear Sci.95
1998R. Bertram and A. ShermanPopulation Dynamics of Synaptic Release SitesSIAM J. Appl. Math94
1998"J. Rinzel, D. Terman, X.-J. Wang, and B. Ermentrout"Propagating Activity Patterns in Large-Scale Inhibitory Neuronal NetworksScience93
1997"D. Mear, N.F. Sheppard, Jr., "Evidence That Calcium Release-activated Current Mediates the Biphasic Electrical Activity of Mouse The Journal of Membrane Biology92
1997"Agmon-Snir, Hagai"The Morphoelectrotonic TransformMathematical Education and Research - Vol. 6 No. 291
1997"Mejia, Raymond"Neural Net Models to Characterize Integral Membrane"ZAMM, Akademie Verkag, IV"90
1997"Manor, Y., Rinzel, J., Segev, I., and Yarom, Y."Low-Amplitude Oscillations in the Inferior Ollive: A Model Based on Electrical Coupling of Neurons With Heterogeneous Channel Densities.J. Neurophysiol. 77:2736-275289
1997"Li, Y.-X., Stojilkovic, S., Keizer, J., and Rinzel, J."Sensing and Refilling Calcium Stores in an Excitable Cell.Biophysical J 72:1080-1091.88
1996"Rinzel, John, Keizer, J., and Li, Y.-X."Modeling Plasma Membrane and Endoplasmic Reticulum Excitability in Pituitary CellsTEM 7:388-393.87
1996"Ermentrout, G. B. and Rinzel, J."Reflected Waves in an Inhomogenous Excitable MediumSiam J. Appl. Math: 56:1107-1128.86
1996"Sherman, Arthur"Contributions of modeling to understanding stimulus-secretion coupling in pancreatic beta-cells.Am. J. Physiol. 271 (Endocrinol. Metab. 34): E362-E372.85
1996"Li, Y.-X., Bertram, R., and Rinzel, J."Modeling N-Methyl-D-Aspartate-Induced Bursting in Dopamine Neurons.Neuroscience 71:397-410.84
1996"Bertram, R., Sherman, A., and Stanley, E."Single-domain/bound calcium hypothesis of transmitter release and facilitation.J of Neurophysiology 75:1919-1931.83
1995"Chou, C., DiGiovanni, S., Mejia, R., Nielsen, S., Knepper, M."Oxytocin as an antidiuretic hormone I. Connection dependence of actionHydrosomotic action of oxytocin F70-F77.82A
1995"Agmon-Snir, H."A novel theoretical approach to the analysis of dendritic transients.Biophysical J 69:1633-1656.81
1995"Li, Yue-Xian, Keizer, J., Stojilkovic, S., and Rinzel, J."Ca2+ excitbility of the ER membrance: an explanation for IP3-induced CA2+ oscillations.Invited Review C1079-C1092.80
1995"Golomb, D., Wang, X.-J., and Rinzel, J."Propagation of spindle waves in a thalamic slice model.J or Neurophysiology 75:750-769.79
1995"Booth, V. and Rinzel, J.""A minimal, compartmental model for a dendritic origin of bistability of motoneuron firing patterns."J of Computational Neuroscience78
1995"Rush, M.. and Rinzel, J.""The Potassium A-current, low firing rates and rebound excitation in Hodgkin-Huxley models."Bulletin of Math Biol 57:899-929.77
1995"Pinsky, P. and Rinzel, J."Synchrony measures for biological neural networks.Biol. Cybern. 73:129-137.75
1995"Li, Y.-X., Rinzel, J., Vergara, L., and Stojilkovic, S."Spontaneous Electrical and Calcium Oscillations in Unstimulated Pituitary Gonadotrophs.Biophysical J 69:785-795.74
1995"Keizer, J., Li, Y.-X., Stojilkovic, S., and Rinzel, J."InsP3-induced Ca2+ Excitability of the Endoplasmic Reticulum.Molecular Biology of the Cell 6:945-951.73
1995"Wang, X.-J., Golomb, D., and Rinzel, J."Emergent spindle oscillations and intermittent burst firing in a thalamic model: Specific neuronal mechanisms.Proc. Natl. Acad. Sci. USA. 92:5577-5581.71
1995"Smolen, Paul"A Model for Glycolytic Oscillations based on Skeletal Muscle Phosphofructokinase KineticsJ. Theor. Biol. 174:137-148.70
1995"Bertram, R., Smolen, P., Sherman, A., Mears, D., Atwater, I., Martin, F., and Soria, B."A Role for Calcium Release-Activated Current (CRAC) in Cholingeric Modulation of Electrical Activity in Pancreatic b-CellsBiophysical J 68:2323-2332.69
1995"Bertram R., Butte M., Kiemel T., and Sherman, A."Topological and Phenomenological Classification of Bursting Oscillations.Bulletin of Math Biol 57:413-439.68
1995"Pinsky, Paul F."Synchrony and Clustering in an Excitatory Neural Network Model With Intrinsic Relaxation Kinetics.Siam J Appl Math67
1995"Baer, S.M., Rinzel, J. and Carrillo, H."Analysis of an autonomous phase model for neuronal parabolic bursting.J Math Biol 33:309-333.66
1995"Sherman, Arthur"Theoretical Aspects of Synchronized Bursting in b-Cells."In Pacemaker Activity and Intercellular Communication, Jan D. Huizinga, ed. Ontario, Canada:CRC Press, pp 323-337."65
1995"Sherman, A., Xu, L., and Stokes, C.L."Estimating and Eliminating Junctional Current in Couped Cell Populations by Leak Substraction. A Computational StudyJ. Membrane Biol 143:79-87.64
1994"Pinsky, P. and Rinzel, J."Intrinsic and Network Rhythmogenesis in a Reduced Traub Model for CA3 NeuronsJ of Comp Neuroscience 1:39-60.76
1994"Golomb, D., Kleinfeld, D., Reid, R.C., Shapley, R.M., and Shraiman, B.I."On Temporaral Codes and the Spatiotemporal Response of Neurons in the Lateral Geniculate NucleusJournal of Neurophysiology 72:2290-3003.63
1994"Sherman, A. and Mascagni, M."A Gradient Random Walk Method for Two-DimenstionalSIAM 15:1280-1293.62
1994"Golomb, D., X.-J. Wang, and Rinzel, J."Synchronization Properties of Spindle Oscillations in a Thalamic Reticular Nucleus Model.J of Neurophysiol. 72:1109-1126.61
1994"Rush, M. and Rinzel, J."Analysis of bursting in a thalamic neuron model.Biol. Cybern. 71:281-291.60
1994"Sherman, A.""Anti-Phase,asymmetric and aperiodic oscillations in excitable cells-I. coupled bursters."Bulletin of Math. Biol. 56:811-835.59
1994"Golomb, D. and Rinzel, J."Clustering in globally coupled inhibitory neurons.Physica D 72:259-282.58
1994"Li, Yue-Xian and Rinzel, J.""Equations for InsP3 Receptor-mediated [Ca2+], Oscillations Derived from a Detailed Kinetic Model: A Hodgkin-Huxley Like Formalism."J. Theor Biol. 166:461-473.57
1993"Li, Yue-Xian, Rinzel, J. Keizer, and Stojilkovic, S."Calcium oscillations in pituitary gonadotrophs: Comparison of experiment and theory.Proc. Natl. Acad. Sci..91:58-62.56
1993"Golomb, D. and Rinzel, J."Dynamics of globally coupled inhibitory neurons with heterogeneity."Physical Review E, 48:4810-4814."55
1993"Stokes, C.L. and Rinzel, J."Diffusion of extracellular K+ can synchronize bursting oscillations in a model islet of Langerhans.Biophys. J. 65:597-607.54
1993"Smolen, P., Rinzel, J., and Sherman, A."Why pancreatic islets burst but single b cells do not. The heterogeneity hypothesis.Biophys. J. 64:1668-1680.53
1993"Smolen, P., Terman, D., and Rinzel, J."Properties of a bursting model with two slow inhibitory variables."SIAM, J. Appl. Math. 53:861-892."52
1993"Wang, X.-J. and Rinzel, J."Spindle rhythmicity in the reticularis thalami nucleus: synchronization among mutually inhibitory neurons.Neuroscience 53:899-904.51
1993"Mejia, R., Flessner, M.F., and Knepper, M.A."Model of ammonium and bicarbonate transport along the long-loop thin descending limb: implications for alkalinization of luminal fluid.Am. J. Physiol. 264:397-403.50B
1993"Flessner, M.F., Mejia, R., and Knepper, M.A."Ammonium and bicarbonate transport in isolated perfused rodent long-loop thin descending limbs.Am. J. Physiol. 264:388-396.50A
1992"Holmes, W.R., Segev, I., and Rall, W."Interpretation of time constant and electrotonic length estimates of multi-cylinder or branch neuronal structures.J. Neurophysiol. 68:1401-1420.49C
1992"Holmes,W.R. and Rall, W."Electrotonic length estimates in neurons with dendritic tapering or somatic shunt..J. Neurophysiol. 68:1421-143749B
1992"Holmes, W.R. and Rall, W."Estimating the electrotonic structure of neurons with compartmental models.J. Neurophysiol. 68:1438-1452.49A
1992"Rall, W."Path to biophysical insights about dendrites and synaptic function."In The Neurosciences: Paths of Discovery II, F. Samson and G. Adelman, eds. Boston:Birkhauser, pp 215-238."48C
1992"Wang, X.-J. and Rinzel, J."Alternating and synchronous rhythms in reciprocally inhibitory model neurons.Neural Computation 4:84-97.48B
1992"Rall, W., Burke, R.E., Holmes, W.R., Jack, J.J.B., Redman, S.J., and Segev, I."Matching dendritic neuron models to experimental data.Physiol. Rev. 72:S159-S186.48A
1992Mejia. R.Solution of differential-albegraic equations for renal acid-base balance."Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations (eds. D.E. Keyes, T.F. Chan, G. Meurant, J.S. Scroggs, and R.G. Voight) SIAM pp 518-526."47
1992"Sherman, A. and Rinzel, J."Rhythmogenic effects of weak electrotonic coupling in neuronal models.Proc. Natl. Acad. Sci. 89:2471-2474.46B
1992"Rinzel, J. and Frankel, P."Activity patterns of a slow synapse network predicted by explicitly averaging spike dynamics.Neural Computation 4:535-545.46A
1992"Wang, X-J., Rinzel, J., and Rogawski, M.A."Low threshold spikes and rhythmic oscillations in thalamic neurons."In Analysis and Modeling of Neural Systems. (F. Eeckman, ed.). Kluwer Academic Publishers, pp. 85-92."45B
1992"Rinzel, J., Sherman, A., and Stokes, C.L.""Channels, coupling, and synchronized rhythmic bursting activity.""In Analysis and Modeling of Neural Syustems, Eeckman F.H. ed. Kluwer Academic Publishers, Boston, pp. 29-46."45A
1992"Segev, I.""Single neurone models: oversimple, complex and reduced.""Trends in Neurosciences 15:No. 11, 414-421."44
1991"Baer, S. M. and Rinzel, J."Propagation of dendritic spikes medicated by excitable spines: a continuum theory.J. Neurophys. 65:874-890.43
1991"Wang, X-J., Rinzel, J., and Rogawski, M.A."A Model of the T-Type Calcium Current and the Low-Threshold Spike in Thalamic Neurons.Journal of Neuro-physiology 66:(3)839-850.42B
1991"Wang, X-J. "Spontaneous activity in a large neural net: between chaos and noise."In Self-Organization, Emerging Properties and Learning, A. Babloyantz, ed. Plenum Press, New York, pp 155-160."42A
1991"von Kienlin, M. and Mejia, R."Spectral localization with optimal pointspread function.J. Magn. Reson. 94:268-287.41
1991"Sherman, A. and Rinzel, J."A model for synchronization of pancreatic b-cells by gap junction coupling.Biophys. J. 59:547-559.40A
1990"Sherman, A., Keizer, J., and Rinzel, J."Domain model for Ca2+-inactivation of Ca2+ channels at low channel density.Biophy. J 58:985-995.40B
1990"Rinzel, J.""Electrical excitability of cells, theory and experiment: Review of the Hodgkin-Huxley foundation and an update.""In Classics of Theoretical Biology. (M. Mangel, ed.). Bull. Math. Biology 52:5-23."39B
1990"Elphick, C., Meron, E., Rinzel , J., and Spiegel, E.A."Impulse patterning and relaxational propogation in excitable media.J. Theor. Biol. 146:249-268.39A
1990"Rinzel, J."Mechanisms for nonuniform propagation along excitable cables."In Mathematical Approaches to Cardiac Arrhythmias. (J. Jalife, ed.). Ann N.Y. Acad. Sci. 591:51-61."38
1990"Gonzalez-Fernandez, J.M."Parameter dependence of myoglobin facilitated transport of oxygen in the presence of membranes."Math. Biosc., 100:1-20."37B
1990"Mejia, R. and Knepper, M.A."Acid-base transport in the renal thick ascending limb.Math Comput. Modelling 14:538-542.37A
1990"Carroll, P.B., Sherman, A., Ferrer, R., Boschero, A.C., Rinzel, J., and Atwater, I."Modulation of the frequency of glucose-dependent bursts of electrical activity by HCO3/CO2 in rodent pancreatic beta-cells: experimental and theoretical results.Eur. Biophys. J. 18:71-77.36A
1989Mejia, R., Sands, J. M., Stephenson, J.L., and Knepper, M.Renal actions of atrial natriuretic factor: a mathematical modeling study.Modeling Methodology Forum. F-1146-F-115782B
1989"Rinzel, J. and Ermentrout, G.B."Analysis of neural excitability and oscillations."In ""Methods in Neuronal Modeling: From Synapses to Networks"". (C. Koch and I Segev, eds.). MIT Press, pp 135-169."36C
1989"Baer, S.M., Erneux, T., and Rinzel, J.""The slow passage through a Hopf bifurcation: delay, memory effects and resonance."SIAM J. Appl. Math 49:55-71.36B
1989"Gonzalez-Fernandez, J.M."The transfers between the free and the combined oxygen flows in determining the facilitated transport with membranes on the transport path..Math Biosc. 95:209-231.35B
1989"Mejia, R., Sands, J.M., Stephenson, J.L., and. Knepper, M.A"Renal actions of atrial natriuretic factor: a mathematical modelling study.Am. J. Physiol. (Renal Fluid Electrolyte Physiol 26) 257:F1140-F1151.35A
1988"Rall, W. and Segev, I."Synaptic integration and excitable dendritic spine clusters: structure/function."In Intrinsic Determinants of Neuronal Form and Function, R.J. Lasek and M.M. Black, eds. Alan R. Liss, New York pp 263-282."34C
1988"Rall, W. and Segev, I.""Dendritic spine synapses, excitable spine clusters and plasticity.""In Cellular Mechanisms of Conditioning and Behavioral Plasticity, C.D. Woody, D.L. Alkon and J.L. McGaugh, eds., Plenum Press, New York, pp 221-236."34B
1988"Segev, I. and Rall, W."Computational study of an excitable dendritic spineJ. Neurophysiol. 60:499-523.34A
1988"Mejia, R."Mathematical modelling of the renal concentrating mechanism.Mathl Compu Modelling 11:615-620.33C
1988"Sherman, A., Rinzel, J., and Keizer, J."Emergence of organized bursting in clusters of pancreatic b-cells by channel sharing.Biophys. J. 54:411-425.33B
1988"Rinzel, J. and Baer, S.M."Firing threshold of the Hodgkin-Huxley model for a slow current ramp: a memory effect and its dependence on fluctuations.Biophys. J. 54:551-555.33A
1988"Rinzel, J."Bistable behavior in cells with bursting electrical activity."In Pulsatility in Neuroendocrine Systems, (G. Leng, ed.). CRC Press, pp 221-234."32B
1988"Lynch, R.M., Mejia, R., and Balaban, R.S."Energy transduction at the cell plasmalemma: coupling through membrane associated adenosine triphosphate?Comments Mol. Cell. Biophys. 5:151-170.32A
1987"Rall, W. and Segev, I."Functional possibilities for synapses on dendrites and dendritic spines."In Synpatic Function, G.M. Edleman, W.E. Gall and W.M. Cowan, eds. Wiley, N.Y., pp 605-636."32C
1987"Rinzel, J., Chay,T.R., Himmel, D., and Atwater, I."Prediction of the glucose-induced changes in membrane ionic permeability and cytosolic Ca2+ by mathematical modeling."In ""Biophysics of the B-cell"", (I. Atwater, E. Rojas, and B. Sovia, eds.). Plenum Press, New York, pp 247-263."31B
1987"Rinzel, J."A formal classification of bursting mechanisms in excitable systems."In ""Mathematical Topics in Population Biology, Morphogenesis and Neurosciences"" (E. Teramoto and M. Yamoguti, eds.). Lecture Notes in Biomathematics, 71, Springer-Verlag, New York, pp 267-281."31A
1987"Star, R.A., Kurtz, I., Mejia, R., Burg, M.B., and Knepper, M.A."Disequilibrium pH and ammonia transport in isolated perfused cortical collecting ducts.Am. J. Physiol. (Renal Fluid Electrolyte Physiol. 22) 253:F1232-F1242.30B
1987"Rinzel, J. and Lee, Y.S."Dissection of a model for neuronal parabolic bursting.J. Math. Biol. 25:653-675.30A
1986"Atwater, I. and Rinzel, J."The b-cell bursting pattern and intracellular [Ca++]."In ""Ionic Channels in Cells and Model Systems"" (R. Latorre, ed.). Plenum Press, pp 353-362."30C
1986"Mejia, R."CONKUB: A conversational path-follower for systems of nonlinear equations.J. Comput. Phys. 63:67-84.29C
1986"Gonzalez-Fernandez, J.M. and Atta, S.E."Comparative facilitated transport of oxygen.Am. J. Physiol. 251 (Regulatory Integrative Comp. Physiol. 20):R1-R12.29B
1986"Shamma, S.A., Chadwick, R.S., Wilbur, W.J., Morrish, K.A., and Rinzel, J."A biophysical model of cochlear processing: intensity dependence of pure tone responses.J. Acoust. Soc. of Amer. 80:133-145.29A
1986"Rinzel, J., and Lee, Y.S."On different mechanisms for membrane potential bursting."In Nonlinear Oscillations in Biology and Chemistry (H.G. Othmer, ed.), Lecture Notes in Biomathematics 66, Springer, pp 19-33."28A
1985"Rall, W. and Segev, I."Space clamp problems when voltage clamping branched neurons with intracellular microelectrodes."In Voltage and Patch Clamping with Microelectrodes, T. G. Smith, H. Lecar, S.J. Redman and P. Gage, eds. American Physiological Society, Bethesda, pp 191-215."28C
1985"Shepherd, G.M., Brayton, R.K., Miller, J.P., Segev, I., Rinzel, J., and Rall, W."Signal enhancement in distal cortical dendrites by means of interaction between active dendritic spines.Proc. Nat. Acad. Sci. 82:2192-2195.28B
1985"Miller, J.P., Rall, W., and Rinzel, J."Synaptic amplification by active membrane in dendritic spines.Brain Res. 325:325-330.27B
1985"Chay, T.R. and Rinzel, J.""Bursting, beating, and chaos in an excitable membrane model."Biophys. J. 47:357-366.27A
1985"Rinzel, J."Excitation dynamics: insights from simplified membrane models.Federation Proc. 44:2944-2946.26B
1985"Rinzel, J."Bursting oscillations in an excitable membrane model."In ""Ordinary and Partial Differential Equations"", Proceedings of the 8th Dundee Conference"", (B.D. Sleeman and R.J. Jarvis, eds.), Lecture Notes in Mathematics 1151, Springer, pp 304-316."26A
1984"Ermentrout, G.B. and Rinzel, J."Beyond a pacemaker's entrainment limit: Phase walk through.Am. J. Physiol. 246 (Regulatory Integrative Comp. Physiol. 15): R102-R106.26C
1984"Rinzel, J. and Schwartz, I.B."One variable map preduction of Belousov-Zhabotinskii mixed mode oscillations.J. Chem. Phys. 80:5610-5615.25C
1984"Mejia, R., and Stephenson, J.L.""Solution of a multinephron, multisolute model of the mammalian kidney by Newton and Continuation Methods."Math. Biosci. 68:279-98.25B
1984"Rinzel, J. and Maginu, K."Kinematic analysis of wave pattern formation in excitable media."In ""Non-equilibrium Dynamics in Chemical Systems"" (Pacault, A. and Vidal, C., eds.) Springer-Verlag, Berlin, pp 107-113."25A
1983"Wilbur, W.J. and Rinzel, J."A theoretical basis for large co-efficient of variation and bimodality in neuronal interspike interval distributions.J. Theor. Biol. 105: 345-368.24B
1983"Rinzel, J. and Keener, J.P."Hopf bifurcation to repetitive activity in nerve.SIAM J. Appl. Math. 43:907-922.24A
1982"Rinzel, J. and Terman, D."Propagation phenomena in a bistable reaction-diffusion system.SIAM J. Appl. Math 42:1111-1137.23B
1982"Rinzel, J. and Troy, W.C."Bursting phenomena in a simplified Oregonator flow system model.J. Chem. Phys. 76:1775-1789.23A
1982"Gonzalez-Fernandez, J.M. and Atta, S.E."Facilitated transport of oxygen in the presence of membranes on the diffusion path."Biophys. J., 38:133-141."22B
1982"Wilbur, W.J. and Rinzel, J."An analysis of Stein's model for stochastic neuronal excitation.Biol. Cybern. 45:107-114.22A
1982"Rinzel, J."Neuronal plasticity (learning)."In Some Mathematical Questions in Biology - Neurobiology (R. M. Miura, ed.), Lectures on Mathematics in the Live Sciences 15, Amer. Math. Soc., Providence, RI, pp 7-25."21
1981"Ermentrout, G.B. and Rinzel, J.""Waves in a simple excitable or oscillatory, reaction-diffusion model.."J. Math. Biol. 11:269-29420B
1981"Keener, J.P., Hoppensteadt, F.C., and Rinzel, J."Integrate-and-fire models of nerve membrane response to oscillatory input.SIAM J. Appl.. Math. 41:503-517.20A
1981"Gonzalez-Fernandez, J.M. and Atta, S.E."Transport of oxygen in solutions of hemoglobin and myoglobin.Math Biosc. 54:265-290.19C
1981"Rall, W. "Functional aspects of neuronal geometry."In Neurones without Impulses, B.M.H. Bush and A. Roberts, eds. Cambridge Univ. Press, pp 223-254."19B
1981"Miller, R.N. and Rinzel, J.""The dependence of impulse propagation speed on firing frequency, dispersion, for the Hodgkin-Huxley model."Biophys. J. 34:227-259.19A
1981"Rinzel, J."Models in neurobiology."In Mathematical Aspects of Physiology (F.C. Hoppensteadt, ed.), Lectures in App. Math. 19:, Amer. Math. Soc., Providence, RI, pp 281-297."18A
1980"Rinzel, J."Impulse propagation in excitable systems."In ""Dynamics and Modelling of Reactive Systems"" (W.E. Stewart, W. H. Ray, and C. C. Conley, eds.), Academic Press, New York, pp 259-291."18B
1980"Rinzel, J. and Miller, R."Numerical calculation of stable and unstable periodic solutions to the Hodgkin-Huxley equations."Math. Biosc., 49:27-59."17B
1980"Guttman, R., Lewis, S., and Rinzel, J."Control of repetitive firing in squid axon membrane as a model for a neuron oscillator."J. Physiol. (Lond.), 305:377-395."17A
1978"Rinzel, J."Integration and propagation of neuroelectric signals.."In ""Studies in Mathematical Biology"". (S.A. Levin, editor). Mathematical Association of America, Washington, D.C., pp 1-66"16
1978"Rall, W."Dendritic spines and synaptic potency."In Studies in Neurophysiology, presented to A. K. McIntyre, R. Porter, ed. Cambridge Univ. Press, pp 203-209."15C
1978"Rinzel, J."On repetitive activity in nerve."Federations Proc., 37:2793-2802."15B
1978"Rinzel, J."Repetitive activity and Hopf bifurcation under point-stimulation for a simple FitzHugh-Nagumo nerve conduction model."J. Math. Biol., 5:363-382."15A
1977"Rall, W."Core conductor theory and cable properties of neurons."In The Handbook of Physiology, The Nervous System, Vol. 1, Cellular Biology of Neurons, E.R. Kandel, J.M. Brookhart, and V.B. Mountcastle, eds. American Physiological Society, Bethesda, Md, pp 39-97."14B
1977"Klee, M. and Rall. W/"Computed potentials of cortically arranged populations of neurons.J. Neurophysiol. 40:647-666.14A
1977"Rinzel, J."Repetitive nerve impulse propagation: numerical results and methods."In Nonlinear Diffusion, (H.F. Walker and W.E. Fitzgibbon, eds.), Research Notes in Mathematics 14, Pitman, pp 186-212."13A
1975"Rinzel, J."Transients in dendritic trees."Federation Proc., 34:1350-1356."13B
1975"Rinzel, J."Spatial stability of traveling wave solutions of a nerve conduction equation."Biophysical J., 15:975-988."12A
1974"Rall, W.""Dendritic spines, synaptic potency and neuronal plasticity.""In Cellular Mechanisms Subserving Changes in Neuronal Activity, C.D. Woody, K.A. Brown, T.J. Crow, J.D. Knispel, eds. Brain Information Service Research Report No. 3, U.C.L.A., Los Angeles, pp. 13-21."12B
1974"Goldstein, S.S. and Rall, W."Changes of action potential shape and velocity for changing core conductor geometry..Biophys. J. 14:731-75711
1974"Rinzel, J. and Rall.. W."Transient response in a dendritic neuron model for current injected at one branch.Biophys. J. 14:759-790.9B
1973"Gonzalez-Fernandez, J.M. and Atta, S.E."Maximal substrate transport in capillary networks."Microvascular Res., 5:180-198."10B
1973"Rinzel, J. and Keller, J.B."Traveling wave solutions of a nerve conduction equation."Biophysical J., 13:1313-1337."10A
1973"Rall, W. and Rinzel, J."Branch input resistance and steady attenuation for input to one branch of a dendritic neuron model"Biophys, J. 13:648-688."9A
1972"Gonzalez-Fernandez, J.M. and Atta, S.E."Concentration of oxygen around capillaries in polygonal regions of supply."Math. Biosci., 13:55-69."8
1971"Rall, W. and Rinzel, J."Dendritic spine function and synaptic attenuation calculations.Program and Abstracts Soc. Neurosci. First Annual Mtg. p 64.7C
1971"Rall, W. and Rinzel, J."Dendritic spine function and synaptic attenuation calculations.Program and Abstracts Soc. Neurosci. First Annual Mtg. p 64.7C
1971"Rall, W. and Rinzel, J."Dendritic spines and synaptic potency explored theoretically.Proc. I.U.P.S. (XXV Intl. Congress) IX:466.7A
1970"Rall, W."Dendritic neuron theory and dendrodendritic synapses in a simple cortical system.."In The Neurosciences: Second Study Program, F.O. Schmidt, ed. Rockefeller Univ. Press, New York, pp. 552-565"7B
1969"Rall, W."Distributions of potential in cylindrical coordinates and time constants for a membrane cylinder.Biophys. J. 9:1509-1541.6B
1969"Rall, W."Time constants and electrotonic length of membrane cylinders and neurons.Biophys. J. 9:1483-1508.6A
1968"Gonzalez-Fernandez, J.M. and Atta, S.E."Transport and consumption of oxygen in capillary-tissue structure."Math. Biosci., 2:225-262."5B
1968"Rall, W. and Shepherd, G.M."Theoretical reconstruction of field potentials and dendrodendritic synaptic interactions in olfactory bulb.J. Neurophysiol. 31:884-915.5A
1967"Rall, W., R.E. Burke, T.G. Smith, P.G. Nelson and K. Frank "Dendritic location of synapses and possible mechanisms for the monosynaptic EPSP in motorneuronsJ. Neurophysiol. 30:1169-1193.4B
1967"Rall, W."Distinguishg theoretical synaptic potentials computed for different soma-dendritic distributions of synaptic input.J. Neurophysiol. 30:1138-11684A
1966"Rall, W., G. M.Shepherd, T.S. Reese and M.W. Brightman."Dendrodendritic synaptic pathway for inhibition in the olfactory bulb.Exptl. Neurol. 14:44-56.4C
1964"Rall, W."Theoretical significance of dendritic trees for neuronal input-output relations."In Neural Theory and Modeling, R.F. Reiss, ed. Stanford Univ. Press, Palo Alto, pp 73-97."3A
1962"Rall, W."Electrophysiology of a dendritic neuron model.Biophys. J. 2:145-167.3C
1962"Rall, W."Theory of physiological properties of dendrites.Ann. N.Y. Acad. Sci. 96:1071-1092.3B
1960"Rall, W."Membrane potential transients and membrane time constant of motoneurons.Exptl. Neurol. 2:503-5322B
1959"Rall, W."Branching dendritic trees and motoneuron membrane resistivity.Exptl. Neurol.1:491-527.2A
1955"Rall, W."A statistical theory of monosynaptic input-output relations.J. Cell Comp. Physiol. 46:373-411.2C
1955"Rall, W."Experimental monosynaptic input-output relations in the mammalian spinal cord.J. Cell Comp. Physiol.46:413-437.1A
1951"Brock, L.G., J.C. Eccles and W.R. Rall"Experimental investigations on the afferent fibres in muscle nerves.Proc. Roy. Soc. Lond. Ser B 138:453-475.1C
1951"Eccles, J.C. and W. Rall"Effects induced in a monosynaptic reflex path by its activationJ. Neurophysiol. 14:353-376.1B

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