Synchronization of Strongly Coupled Excitatory Neurons: Relating Network Behavior to Biophysics (original) (raw)

• Acker CD, Kopell N, White JA (2001) Synchronization of strongly coupled excitatory neurons: Relating biophysics to network behavior. In: Fifth International Conference on Cognitive and Neural Systems. Boston, MA.
• Alligood K, Sauer T, Yorke J (1997) Chaos-an introduction to dynamical systems. Springer-Verlag, New York.
  Google Scholar
• Alonso A, Klink R (1993) Differential electroresponsiveness of stellate and pyramidal-like cells of medial entorhinal cortex layer II. J. Neurophysiol. 70: 128-143.
  PubMed Google Scholar
• Alonso A, Llinás RR (1989) Subthreshold Na+-dependent theta-like rhythmicity in stellate cells of entorhinal cortex layer II. Nature 342: 175-177.
  Article PubMed Google Scholar
• Canavier CC, Butera RJ, Dror RO, Baxter DA, Clark JW, Byrne JH (1997) Phase response characteristics of model neurons determine which patterns are expressed in a ring circuit model of gait generation. Biological Cybernetics 77: 367-380.
  Article PubMed Google Scholar
• Chow CC, Kopell N (2000) Dynamics of spiking neurons with electrical coupling. Neural Comput. 12: 1643-1678.
  Article PubMed Google Scholar
• Chrobak JJ, Lorincz A, Buzsaki G (2000) Physiological patterns in the hippocampo-entorhinal cortex system. Hippocampus 10: 457-465.
  Article PubMed Google Scholar
• Crook SM, Ermentrout GB, Bower JM (1998) Spike frequency adaptation affects the synchronization properties of networks of cortical oscillations. Neural Comput. 10: 837-854.
  Article PubMed Google Scholar
• Destexhe A, Mainen ZF, Sejnowski TJ (1994) An efficient method for computing synaptic conductances based on a kinetic-model of receptor-binding. Neural Computation 6: 14-18.
  Google Scholar
• Destexhe A, Mainen ZF, Sejnowski TJ (1998) Kinetic models of synaptic transmission. In: C Koch, I Segev, eds. Methods in Neuronal Modeling: From Ions to Networks. MIT Press, Cambridge, MA. pp. 1-26.
  Google Scholar
• Dhillon A, Jones RS (2000) Laminar differences in recurrent excitatory transmission in the rat entorhinal cortex in vitro. Neuroscience 99: 413-422.
  Article PubMed Google Scholar
• Dickson CT, Magistretti J, Shalinsky MH, Fransen E, Hasselmo ME, Alonso A (2000) Properties and role of I (h) in the pacing of subthreshold oscillations in entorhinal cortex layer II neurons. J. Neurophysiol 83: 2562-2579.
  PubMed Google Scholar
• Dorval AD, Christini DJ, White JA (2001) Real-time linux dynamic clamp: A fast and flexible way to construct virtual ion channels in living cells. Ann. Biomed. Eng. 29: 897-907.
  Article PubMed Google Scholar
• Eder C, Ficker E, Göndel J, Heinemann U (1991) Outward currents in rat entorhinal cortex stellate cells studied with conventional and perforated patch recordings. Eur. J. Neurosci. 3: 1271-1280.
  PubMed Google Scholar
• Ermentrout B (1996) Type I membranes, phase resetting curves, and synchrony. Neural Comput. 8: 979-1001.
  PubMed Google Scholar
• Ermentrout B (2002) Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students, Ist edn. Society for Industrial & Applied Mathematics.
• Ermentrout GB, Kopell N (1991) Multiple pulse interactions and averaging in systems of coupled neural oscillators. J. Math. Biol. 29: 195-217.
  Google Scholar
• Ermentrout GB, Kopell N (1998) Fine structure of neural spiking and synchronization in the presence of conduction delays. Proc. Natl. Acad. Sci. USA 95: 1259-1264.
  Article PubMed Google Scholar
• Ermentrout B, Pascal M, Gutkin B (2001) The effects of spike frequency adaptation and negative feedback on the synchronization of neural oscillators. Neural Comput. 13: 1285-1310.
  Article PubMed Google Scholar
• Farmer SF (1998) Rhythmicity, synchronization and binding in human and primate motor systems. J. Physiol. 509: 3-14.
  Article PubMed Google Scholar
• Fransén E, Alonso A, Dickson C, Magistretti J, Hasselmo ME (2003) Ionic mechanisms in the generation of subthreshold oscillations and action potential clustering in entorhinal layer II stellate neurons. Submitted.
• Gerstner W (2001) A framework for spiking neuron models: The spike response model. In: F Moss, S Gielen, eds. Neuro-Informatics and Neural Modelling. Elsevier Science B.V. pp. 469-516.
• Gillespie DT (1977) Exact stochastic simulation of coupled chemical reactions. Journal of Physical Chemistry 81: 2340-2361.
  Google Scholar
• Gloor P (1997) The Temporal Lobe and Limbic System. Oxford University Press, New York.
  Google Scholar
• Golomb D, Hansel D, Mato G (2001) Mechanisms of synchrony of neural activity in large networks. In: F Moss, S Gielen, eds. Neuro-Informatics and Neural Modelling. Elsevier Science B.V. pp. 469-516.
• Golomb D, Rinzel J (1993) Dynamics of globally coupled inhibitory neurons with heterogeneity. Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 48: 4810-4814.
  Google Scholar
• Golomb D, Wang XJ, Rinzel J (1994) Synchronization properties of spindle oscillations in a thalamic reticular nucleus model. J. Neurophysiol 72: 1109-1126.
  PubMed Google Scholar
• Gray CM (1999) The temporal correlation hypothesis of visual feature integration: Still alive and well. Neuron 24: 31-47, 111-125.
  Article PubMed Google Scholar
• Guckenheimer J, Holmes P (1983) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer-Verlag, New York.
  Google Scholar
• Hansel D, Mato G, Meunier C (1995) Synchrony in excitatory neural networks. Neural Comput. 7: 307-337.
  PubMed Google Scholar
• Hasselmo ME, Fransen E, Dickson C, Alonso AA (2000) Computational modeling of entorhinal cortex. Ann. NY Acad. Sci. 911: 418-446.
  PubMed Google Scholar
• Jones SR, Pinto DJ, Kaper TJ, Kopell N (2000) Alpha-frequency rhythms desynchronize over long cortical distances: A modeling study. J. Comput. Neurosci. 9: 271-291.
  Article PubMed Google Scholar
• Kistler WM, Gerstner W, van Hemmen LJ (1997) Reduction of Hodgkin-Huxley equations to a single-variable threshold model. Neural Comput. 9: 1015-1045.
  Google Scholar
• Klink R, Alonso A (1993) Ionic mechanisms for the subthreshold oscillations and differential electroresponsiveness of medial entorhinal cortex layer II neurons. J. Neurophysiol. 70: 144-157.
  PubMed Google Scholar
• Kopell N (1988) Toward a theory of modelling central pattern generators. In: AH Cohen, S Rossignol, S Grillner, eds. Neural Control of Rhythmic Movements in Vertebrates. Wiley, New York. pp. 369-413.
  Google Scholar
• Kopell N, Ermentrout GB (2001) Mechanisms of phase-locking and frequency control in pairs of coupled neural oscillators. In: B Fiedler, ed. Handbook on Dynamical Systems, Vol. 2, Toward Applications. Elsevier.
• Kopell N, Ermentrout GB, Whittington MA, Traub RD (2000) Gamma rhythms and beta rhythms have different synchronization properties. Proc. Natl. Acad. Sci. USA 97: 1867-1872.
  Article PubMed Google Scholar
• Lytton WW (1996) Optimizing synaptic conductance calculation for network simulations. Neural Comput. 8: 501-509.
  PubMed Google Scholar
• Lytton WW, Sejnowski TJ (1991) Simulations of cortical pyramidal neurons synchronized by inhibitory interneurons. J. Neurophysiol. 66: 1059-1079.
  PubMed Google Scholar
• Neltner L, Hansel D (2001) On synchrony of weakly coupled neurons at low firing rate. Neural Comput. 13: 765-774.
  Article PubMed Google Scholar
• O’Keefe J (1993) Hippocampus, theta, and spatial memory. Curr. Opin. Neurobiol. 3: 917-924.
  Google Scholar
• Pape HC (1996) Queer current and pacemaker: The hyperpolarization-activated cation current in neurons. Annu. Rev. Physiol. 58: 299-327.
  Article PubMed Google Scholar
• Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical Recipes in C: The Art of Scientific Computing, 2nd edn. Cambridge University Press, Cambridge, UK.
  Google Scholar
• Reyes AD, Fetz EE (1993) Two modes of interspike interval shortening by brief transient depolarizations in cat neocortical neurons. J. Neurophysiol. 69: 1661-1672.
  PubMed Google Scholar
• Robinson HP, Kawai N (1993) Injection of digitally synthesized synaptic conductance transients to measure the integrative properties of neurons. J. Neurosci. Methods 49: 157-165.
  Article PubMed Google Scholar
• Sharp AA, O'Neil MB, Abbott LF, Marder E (1993) The dynamic clamp: Artificial conductances in biological neurons. Trends Neurosci. 16: 389-394.
  Article PubMed Google Scholar
• Singer W (1999) Neuronal synchrony: A versatile code for the definition of relations? Neuron 24: 49-65, 111-125.
  Article PubMed Google Scholar
• Tiesinga PH, Jose JV (2000) Robust gamma oscillations in networks of inhibitory hippocampal interneurons. Network 11: 1-23.
  PubMed Google Scholar
• Van Vreeswijk C, Abbott LF, Ermentrout GB (1994) When inhibition not excitation synchronizes neural firing. J. Comput. Neurosci. 1: 313-321.
  PubMed Google Scholar
• Wang XJ, Rinzel J (1993) Spindle rhythmicity in the reticularis thalami nucleus: Synchronization among mutually inhibitory neurons. Neuroscience 53: 899-904.
  Article PubMed Google Scholar
• White JA, Budde T, Kay AR (1995) A bifurcation analysis of neuronal subthreshold oscillations. Biophys. J. 69: 1203-1217.
  PubMed Google Scholar
• White JA, Chow CC, Ritt J, Soto-Trevino C, Kopell N (1998b) Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. J. Comput. Neurosci. 5: 5-16.
  Article PubMed Google Scholar
• White JA, Haas JS (2001) Intrinsic noise from voltage-gated ion channels: Effects on dynamics and reliability in itrinsically oscillatory neurons. In: Moss F, Gielen S, eds. Neuro-Informatics and Neural Modelling. Elsevier Science B.V. pp. 257-278.
• White JA, Klink R, Alonso A, Kay AR (1998a) Noise from voltagegated ion channels may influence neuronal dynamics in the entorhinal cortex. J. Neurophysiol. 80: 262-269.
  PubMed Google Scholar
• White JA, Rubinstein JT, Kay AR (2000) Channel noise in neurons. Trends Neurosci. 23: 131-137.
  Article PubMed Google Scholar
• Winfree AT (2001) The geometry of biological time, 2 edn. Springer Verlag, New York.
  Google Scholar