References and models cited by this paper

References and models that cite this paper

Aizenman CD, Akerman CJ, Jensen KR, Cline HT (2003) Visually driven regulation of intrinsic neuronal excitability improves stimulus detection in vivo. Neuron 39:831-42 [PubMed]

Anderson ME, Postupna N, Ruffo M (2003) Effects of high-frequency stimulation in the internal globus pallidus on the activity of thalamic neurons in the awake monkey. J Neurophysiol 89:1150-60 [Journal] [PubMed]

Babadi B (2005) Bursting as an effective relay mode in a minimal thalamic model. J Comput Neurosci 18:229-43 [Journal] [PubMed]

Brown P, Oliviero A, Mazzone P, Insola A, Tonali P, Di Lazzaro V (2001) Dopamine dependency of oscillations between subthalamic nucleus and pallidum in Parkinson's disease. J Neurosci 21:1033-8 [PubMed]

Chance FS, Abbott LF, Reyes AD (2002) Gain modulation from background synaptic input. Neuron 35:773-82 [PubMed]

Chow C, Coombes S (2006) Existence and wandering of bumps in a spiking neural network model Siam J Dyn Syst 5:552-574

Coombes S, Osbaldestin AH (2000) Period-adding bifurcations and chaos in a periodically stimulated excitable neural relaxation oscillator. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 62:4057-66 [PubMed]

Cowan RL, Wilson CJ (1994) Spontaneous firing patterns and axonal projections of single corticostriatal neurons in the rat medial agranular cortex. J Neurophysiol 71:17-32 [Journal] [PubMed]

De Schutter E (1999) Using realistic models to study synaptic integration in cerebellar Purkinje cells. Rev Neurosci 10:233-45 [PubMed]

Desai NS, Cudmore RH, Nelson SB, Turrigiano GG (2002) Critical periods for experience-dependent synaptic scaling in visual cortex. Nat Neurosci 5:783-9 [Journal] [PubMed]

Doi S, Inoue J, Kumagai S (1998) Spectral analysis of stochastic phase lockings and stochastic bifurcations in the sinusoidally forced van der Pol oscillator with additive noise J Stat Phys 90:1107-1127

Fellous JM, Houweling AR, Modi RH, Rao RP, Tiesinga PH, Sejnowski TJ (2001) Frequency dependence of spike timing reliability in cortical pyramidal cells and interneurons. J Neurophysiol 85:1782-7 [Journal] [PubMed]

Haken H (2002) Brain dynamics: Synchronization and activity patterns in pulse-coupled neural nets with delays and noise

Hashimoto T, Elder CM, Okun MS, Patrick SK, Vitek JL (2003) Stimulation of the subthalamic nucleus changes the firing pattern of pallidal neurons. J Neurosci 23:1916-23 [PubMed]

Hoel PG, Port SC, Stone CJ (1972) Introduction to stochastic processes

Huertas MA, Groff JR, Smith GD (2005) Feedback inhibition and throughput properties of an integrate-and-fire-or-burst network model of retinogeniculate transmission. J Comput Neurosci 19:147-80 [Journal] [PubMed]

Hunter JD, Milton JG (2003) Amplitude and frequency dependence of spike timing: implications for dynamic regulation. J Neurophysiol 90:387-94 [Journal] [PubMed]

Ichinose N, Aihara K, Judd K (1998) Extending the concept of isochrons from oscillatory to excitable systems for modeling excitable neurons Int J Bif Chaos 8:2375-2385

Keener J, Hoppensteadt F, Rinzel J (1981) Integrate-and-fire models of nerve membrane response to oscillatory input. Siam J Appl Math 41:503-517

Kuramoto Y (1984) Chemical oscillations, waves, and turbulence

Lasota A, Mackey MC (1994) Chaos, fractals, and noise: Stochastic aspects of dynamics (2nd ed)

LoFaro T, Kopell N (1999) Timing regulation in a network reduced from voltage-gated equations to a one-dimensional map. J Math Biol 38:479-533 [PubMed]

Magnin M, Morel A, Jeanmonod D (2000) Single-unit analysis of the pallidum, thalamus and subthalamic nucleus in parkinsonian patients. Neuroscience 96:549-64 [PubMed]

Nini A, Feingold A, Slovin H, Bergman H (1995) Neurons in the globus pallidus do not show correlated activity in the normal monkey, but phase-locked oscillations appear in the MPTP model of parkinsonism. J Neurophysiol 74:1800-5 [Journal] [PubMed]

Othmer H, Watanabe M (1994) Resonance in excitable systems under step function forcing. I. Harmonic solutions Adv Math Sci Appl 4:399-441

Othmer HG, Xie M (1999) Subharmonic resonance and chaos in forced excitable systems. J Math Biol 39:139-71 [PubMed]

Person AL, Perkel DJ (2005) Unitary IPSPs drive precise thalamic spiking in a circuit required for learning. Neuron 46:129-40 [Journal] [PubMed]

Raz A, Vaadia E, Bergman H (2000) Firing patterns and correlations of spontaneous discharge of pallidal neurons in the normal and the tremulous 1-methyl-4-phenyl-1,2,3,6-tetrahydropyridine vervet model of parkinsonism. J Neurosci 20:8559-71 [PubMed]

Rubin J, Terman D (2002) Geometric singular perturbation analysis of neuronal dynamics Handbook Of Dynamical Systems, Fiedler B, ed. pp.93

Rubin JE, Terman D (2004) High frequency stimulation of the subthalamic nucleus eliminates pathological thalamic rhythmicity in a computational model. J Comput Neurosci 16:211-35 [Journal] [PubMed]

Ruskin DN, Bergstrom DA, Kaneoke Y, Patel BN, Twery MJ, Walters JR (1999) Multisecond oscillations in firing rate in the basal ganglia: robust modulation by dopamine receptor activation and anesthesia. J Neurophysiol 81:2046-55 [Journal] [PubMed]

Schreiber S, Fellous JM, Tiesinga P, Sejnowski TJ (2004) Influence of ionic conductances on spike timing reliability of cortical neurons for suprathreshold rhythmic inputs. J Neurophysiol 91:194-205 [Journal] [PubMed]

Smith GD, Sherman SM (2002) Detectability of excitatory versus inhibitory drive in an integrate-and-fire-or-burst thalamocortical relay neuron model. J Neurosci 22:10242-50 [PubMed]

Somers D, Kopell N (1993) Rapid synchronization through fast threshold modulation. Biol Cybern 68:393-407 [PubMed]

Somers DC, Todorov EV, Siapas AG, Toth LJ, Kim DS, Sur M (1998) A local circuit approach to understanding integration of long-range inputs in primary visual cortex. Cereb Cortex 8:204-17 [PubMed]

Steriade M, Nuñez A, Amzica F (1993) Intracellular analysis of relations between the slow (< 1 Hz) neocortical oscillation and other sleep rhythms of the electroencephalogram. J Neurosci 13:3266-83 [PubMed]

Steriade M, Nuñez A, Amzica F (1993) A novel slow (< 1 Hz) oscillation of neocortical neurons in vivo: depolarizing and hyperpolarizing components. J Neurosci 13:3252-65 [PubMed]

Stone M (2004) Varied stimulation of a relaxation oscillator Unpublished masters thesis, University of Houston

Stuart GJ, Häusser M (2001) Dendritic coincidence detection of EPSPs and action potentials. Nat Neurosci 4:63-71 [Journal] [PubMed]

Tateno T, Jimbo Y (2000) Stochastic mode-locking for a noisy integrate-and-fire oscillator Phys Lett A 271:227-236

Taylor HM, Karlin S (1998) An introduction to stochastic modeling (3rd ed)

Tiesinga PH (2005) Stimulus competition by inhibitory interference. Neural Comput 17:2421-53 [Journal] [PubMed]

Tiesinga PH, José JV, Sejnowski TJ (2000) Comparison of current-driven and conductance-driven neocortical model neurons with Hodgkin-Huxley voltage-gated channels. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 62:8413-9 [PubMed]

Tiesinga PH, Sejnowski TJ (2004) Rapid temporal modulation of synchrony by competition in cortical interneuron networks. Neural Comput 16:251-75 [Journal] [PubMed]

Tiesinga PH, Toups JV (2005) The possible role of spike patterns in cortical information processing. J Comput Neurosci 18:275-86 [Journal] [PubMed]

van Vreeswijk C, Sompolinsky H (1998) Chaotic balanced state in a model of cortical circuits. Neural Comput 10:1321-71 [PubMed]

Xie M, Othmer HG, Watanabe M (1996) Resonance in excitable systems under step-function forcing II. Subharmonic solutions and persistence Physica D 98:75