Citation Relationships



Kanamaru T, Sekine M (2005) Synchronized firings in the networks of class 1 excitable neurons with excitatory and inhibitory connections and their dependences on the forms of interactions. Neural Comput 17:1315-38 [PubMed]

References and models cited by this paper

References and models that cite this paper

Abbott LF, van Vreeswijk C (1993) Asynchronous states in networks of pulse-coupled oscillators. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 48:1483-1490 [PubMed]

Börgers C, Kopell N (2003) Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Neural Comput 15:509-38 [Journal] [PubMed]

Brunel N (2000) Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. J Comput Neurosci 8:183-208 [PubMed]

   Sparsely connected networks of spiking neurons (Brunel 2000) [Model]

Buzsáki G, Horváth Z, Urioste R, Hetke J, Wise K (1992) High-frequency network oscillation in the hippocampus. Science 256:1025-7 [PubMed]

Ermentrout B (1996) Type I membranes, phase resetting curves, and synchrony. Neural Comput 8:979-1001 [PubMed]

Fisahn A, Pike FG, Buhl EH, Paulsen O (1998) Cholinergic induction of network oscillations at 40 Hz in the hippocampus in vitro. Nature 394:186-9 [Journal] [PubMed]

Gardiner C (1985) Handbook of Stochastic Methods

Gerstner W, Kistler WM (2002) Spiking neuron models

Golomb D, Ermentrout GB (2001) Bistability in pulse propagation in networks of excitatory and inhibitory populations. Phys Rev Lett 86:4179-82 [Journal] [PubMed]

Gray CM (1994) Synchronous oscillations in neuronal systems: mechanisms and functions. J Comput Neurosci 1:11-38 [PubMed]

Gray CM, Singer W (1989) Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proc Natl Acad Sci U S A 86:1698-702 [PubMed]

Guckenheimer J, Holmes P (1983) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 2nd edition.

Hansel D, Mato G (2003) Asynchronous states and the emergence of synchrony in large networks of interacting excitatory and inhibitory neurons. Neural Comput 15:1-56 [Journal] [PubMed]

Hansel D, Mato G, Meunier C (1995) Synchrony in excitatory neural networks. Neural Comput 7:307-37 [PubMed]

Hoppensteadt FC, Izhikevich EM (1997) Weakly Connected Neural Networks :90

Izhikevich EM (1999) Class 1 neural excitability, conventional synapses, weakly connected networks, and mathematical foundations of pulse-coupled models. IEEE Trans Neural Netw 10:499-507 [Journal] [PubMed]

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

Kuramoto Y (1991) Collective synchronization of pulse-coupled oscillators and excitable units Physica D 50:15-30

Kurrer C, Schulten K (1995) Noise-induced synchronous neuronal oscillations. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 51:6213-6218 [PubMed]

Mirollo RE, Strogatz SH (1990) Synchronization of pulse-coupled biological oscillators. Siam J Appl Math 6:1645-1657

Ott E (1993) Chaos in dynamical systems

Press WH, Teukolsky SA, Vellerling WT, Flannery BP (1992) Numerical Recipes In C: The Art Of Scientific Computing

Sakaguchi H, Shinomoto S, Kuramoto Y (1988) Phase transitions and their bifurcation analysis in a large population of active rotators with mean-field coupling Prog Theor Phys 79:600-607

Shinomoto S, Kuramoto Y (1986) Phase transitions in active rotator systems Prog Theor Phys 75:1105-1110

Tanabe S, Shimokawa T, Sato S, Pakdaman K (1999) Response of coupled noisy excitable systems to weak stimulation. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 60:2182-5 [PubMed]

Tsodyks M, Mitkov I, Sompolinsky H (1993) Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions. Phys Rev Lett 71:1280-1283 [Journal] [PubMed]

Van Vreeswijk C, Abbott LF, Ermentrout GB (1994) When inhibition not excitation synchronizes neural firing. J Comput Neurosci 1:313-21 [PubMed]

van Vreeswijk C, Sompolinsky H (1996) Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science 274:1724-6 [PubMed]

Vreeswijk Cv (1996) Partial synchronization in populations of pulse-coupled oscillators. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 54:5522-5537 [PubMed]

(29 refs)