Alvarez VA, Chow CC, Van Bockstaele EJ, Williams JT. (2002). Frequency-dependent synchrony in locus ceruleus: role of electrotonic coupling. Proceedings of the National Academy of Sciences of the United States of America. 99 [PubMed]
Arnold L. (1974). Stochastic Differential Equations: Theory And Applications.
Aston-Jones G, Akaoka H, Charléty P, Chouvet G. (1991). Serotonin selectively attenuates glutamate-evoked activation of noradrenergic locus coeruleus neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 11 [PubMed]
Aston-Jones G, Chen S, Zhu Y, Oshinsky ML. (2001). A neural circuit for circadian regulation of arousal. Nature neuroscience. 4 [PubMed]
Aston-Jones G, Rajkowski J, Cohen J. (2000). Locus coeruleus and regulation of behavioral flexibility and attention. Progress in brain research. 126 [PubMed]
Aston-Jones G, Rajkowski J, Kubiak P, Alexinsky T. (1994). Locus coeruleus neurons in monkey are selectively activated by attended cues in a vigilance task. The Journal of neuroscience : the official journal of the Society for Neuroscience. 14 [PubMed]
Brown E, Moehlis J, Holmes P. (2004). On the phase reduction and response dynamics of neural oscillator populations. Neural computation. 16 [PubMed]
Chow CC, Kopell N. (2000). Dynamics of spiking neurons with electrical coupling. Neural computation. 12 [PubMed]
Clayton EC, Rajkowski J, Cohen JD, Aston-Jones G. (2004). Phasic activation of monkey locus ceruleus neurons by simple decisions in a forced-choice task. The Journal of neuroscience : the official journal of the Society for Neuroscience. 24 [PubMed]
Cohen JD, Rajkowski J, Aston-Jones G, Gilzenrat MS, Holmes BD. (2004). Simplified dynamics in a model of noradrenergic modulation of cognitive performance. Neural Netw. 15
Connor JA, Walter D, McKown R. (1977). Neural repetitive firing: modifications of the Hodgkin-Huxley axon suggested by experimental results from crustacean axons. Biophysical journal. 18 [PubMed]
Eriksen CW, Eriksen BA. (1974). Effects of noise letters upon the identification of target letters in a non-search task Perception and Psychophysics. 16
Ermentrout B. (1996). Type I membranes, phase resetting curves, and synchrony. Neural computation. 8 [PubMed]
Evans L. (1998). Partial Differential Equations.
Fetz EE, Gustafsson B. (1983). Relation between shapes of post-synaptic potentials and changes in firing probability of cat motoneurones. The Journal of physiology. 341 [PubMed]
Foote SL, Bloom FE, Aston-Jones G. (1983). Nucleus locus ceruleus: new evidence of anatomical and physiological specificity. Physiological reviews. 63 [PubMed]
Freidlin M, Wentzell A. (1998). Random Perturbations of Dynamical Systems.
Gardiner C. (1985). Handbook of Stochastic Methods.
Grant SJ, Aston-Jones G, Redmond DE. (1988). Responses of primate locus coeruleus neurons to simple and complex sensory stimuli. Brain research bulletin. 21 [PubMed]
Guckenheimer J, Holmes P. (1983). Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 2nd edition..
Herrmann A, Gerstner W. (2001). Noise and the PSTH response to current transients: I. General theory and application to the integrate-and-fire neuron. Journal of computational neuroscience. 11 [PubMed]
Jodo E, Aston-Jones G. (1997). Activation of locus coeruleus by prefrontal cortex is mediated by excitatory amino acid inputs. Brain research. 768 [PubMed]
Jodo E, Chiang C, Aston-Jones G. (1998). Potent excitatory influence of prefrontal cortex activity on noradrenergic locus coeruleus neurons. Neuroscience. 83 [PubMed]
Moore RY, Bloom FE. (1979). Central catecholamine neuron systems: anatomy and physiology of the norepinephrine and epinephrine systems. Annual review of neuroscience. 2 [PubMed]
Nykamp DQ, Tranchina D. (2000). A population density approach that facilitates large-scale modeling of neural networks: analysis and an application to orientation tuning. Journal of computational neuroscience. 8 [PubMed]
Omurtag A, Knight BW, Sirovich L. (2000). On the simulation of large populations of neurons. Journal of computational neuroscience. 8 [PubMed]
Ritt J. (2003). A Probabilistic Analysis of Forced Oscillators, with Application to Neuronal Response Reliability PhD Thesis.
Rose RM, Hindmarsh JL. (1989). The assembly of ionic currents in a thalamic neuron. I. The three-dimensional model. Proceedings of the Royal Society of London. Series B, Biological sciences. 237 [PubMed]
Rush ME, Rinzel J. (1995). The potassium A-current, low firing rates and rebound excitation in Hodgkin-Huxley models. Bulletin of mathematical biology. 57 [PubMed]
STEIN RB. (1965). A THEORETICAL ANALYSIS OF NEURONAL VARIABILITY. Biophysical journal. 5 [PubMed]
Servan-Schreiber D, Printz H, Cohen JD. (1990). A network model of catecholamine effects: gain, signal-to-noise ratio, and behavior. Science (New York, N.Y.). 249 [PubMed]
Tass P. (1999). Phase Resetting in Medicine and Biology.
Usher M, Cohen JD, Servan-Schreiber D, Rajkowski J, Aston-Jones G. (1999). The role of locus coeruleus in the regulation of cognitive performance. Science (New York, N.Y.). 283 [PubMed]
Usher M, Davelaar EJ. (2002). Neuromodulation of decision and response selection. Neural networks : the official journal of the International Neural Network Society. 15 [PubMed]
Valentino RJ, Foote SL. (1987). Corticotropin-releasing factor disrupts sensory responses of brain noradrenergic neurons. Neuroendocrinology. 45 [PubMed]
Whitham GB. (1974). Linear and Nonlinear Waves.
Williams JT, Bobker DH, Harris GC. (1991). Synaptic potentials in locus coeruleus neurons in brain slices. Progress in brain research. 88 [PubMed]
Williams JT, North RA, Shefner SA, Nishi S, Egan TM. (1984). Membrane properties of rat locus coeruleus neurones. Neuroscience. 13 [PubMed]
Winfree A. (2001). The Geometry of Biological Time (2nd ed).
Zhu WQ. (1988). Stochastic averaging methods in random vibration. Appl Mech Rev. 41
Zhu Y, Aston-jones G, Card P. (2001). Gabaergic afferents to locuscoeruleus (LC) from the peri-lc region: Possible LC interneurons Soc Neurosci Abstr. 27
Zhu Y, Rajkowski J, Cohen J, Aston-jones G, Lu W. (2000). Prominent projections from the anterior cingulate cortex to the locuscoeruleus (LC) in rhesus monkey Soc Neurosci Abstr. 26
Brown E, Moehlis J, Holmes P. (2004). On the phase reduction and response dynamics of neural oscillator populations. Neural computation. 16 [PubMed]
Câteau H, Reyes AD. (2006). Relation between single neuron and population spiking statistics and effects on network activity. Physical review letters. 96 [PubMed]
Gao J, Holmes P. (2007). On the dynamics of electrically-coupled neurons with inhibitory synapses. Journal of computational neuroscience. 22 [PubMed]
Troyer TW. (2006). Factors affecting phase synchronization in integrate-and-fire oscillators. Journal of computational neuroscience. 20 [PubMed]