Citation Relationships



Takekawa T, Aoyagi T, Fukai T (2007) Synchronous and asynchronous bursting states: role of intrinsic neural dynamics. J Comput Neurosci 23:189-200[PubMed]

References and models cited by this paper

References and models that cite this paper

Aoyagi T, Kang Y, Terada N, Kaneko T, Fukai T (2002) The role of Ca2+-dependent cationic current in generating gamma frequency rhythmic bursts: modeling study. Neuroscience 115:1127-38

Aoyagi T, Takekawa T, Fukai T (2003) Gamma rhythmic bursts: coherence control in networks of cortical pyramidal neurons. Neural Comput 15:1035-61 [PubMed]

Booth V, Bose A (2002) Burst synchrony patterns in hippocampal pyramidal cell model networks. Network 13:157-77 [PubMed]

Brumberg JC, Nowak LG, McCormick DA (2000) Ionic mechanisms underlying repetitive high-frequency burst firing in supragranular cortical neurons. J Neurosci 20:4829-43 [PubMed]

Buzsaki G, Draguhn A (2004) Neuronal oscillations in cortical networks. Science 304:1926-9 [PubMed]

Cardin JA, Palmer LA, Contreras D (2005) Stimulus-dependent gamma (30-50 Hz) oscillations in simple and complex fast rhythmic bursting cells in primary visual cortex. J Neurosci 25:5339-50 [PubMed]

Crook SM, Ermentrout GB, Bower JM (1998) Dendritic and synaptic effects in systems of coupled cortical oscillators. J Comput Neurosci 5:315-29 [Journal] [PubMed]

Crook SM, Ermentrout GB, Vanier MC, Bower JM (1997) The role of axonal delay in the synchronization of networks of coupled cortical oscillators. J Comput Neurosci 4:161-72 [Journal] [PubMed]

Cunningham MO, Whittington MA, Bibbig A, Roopun A, LeBeau FE, Vogt A, Monyer H, Buhl EH, Trau (2004) A role for fast rhythmic bursting neurons in cortical gamma oscillations in vitro. Proc Natl Acad Sci U S A 101:7152-7 [PubMed]

Doiron B, Laing C, Longtin A, Maler L (2002) Ghostbursting: a novel neuronal burst mechanism. J Comput Neurosci 12:5-25 [Journal] [PubMed]

Dormand JR, Prince PJ (1980) A family of embedded Runge-Kuttaformulae J Comput Appl Math 6:19-26

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

Ermentrout B, Kopell N (1984) Frequency plateaus in a chain of weakly coupled oscillators. Siam J Math Anal 15:215-237

Goldberg JA, Deister CA, Wilson CJ (2007) Response properties and synchronization of rhythmically-firing dendritic neurons. J Neurophysiol 97:208-219 [Journal] [PubMed]

   Role of active dendrites in rhythmically-firing neurons (Goldberg et al 2006) [Model]

Gray CM, McCormick DA (1996) Chattering cells: superficial pyramidal neurons contributing to the generation of synchronous oscillations in the visual cortex. Science 274:109-13 [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]

Gray CM, Viana Di Prisco G (1997) Stimulus-dependent neuronal oscillations and local synchronization in striate cortex of the alert cat. J Neurosci 17:3239-53 [PubMed]

Gutkin BS, Ermentrout GB, Reyes AD (2005) Phase-response curves give the responses of neurons to transient inputs. J Neurophysiol 94:1623-35 [PubMed]

Haj-Dahmane S, Andrade R (1997) Calcium-activated cation nonselective current contributes to the fast afterdepolarization in rat prefrontal cortex neurons. J Neurophysiol 78:1983-9 [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 (2000) Neural excitability, spiking and bursting Int J Bifurcat Chaos Appl Sci Eng 10:1171-1266

Izhikevich EM (2003) Simple model of spiking neurons. IEEE Trans Neural Netw 14:1569-72 [Journal] [PubMed]

   Artificial neuron model (Izhikevich 2003, 2004, 2007) [Model]

Kang Y, Kayano F (1994) Electrophysiological and morphological characteristics of layer VI pyramidal cells in the cat motor cortex. J Neurophysiol 72:578-91 [Journal]

Kang Y, Okada T, Ohmori H (1998) A phenytoin-sensitive cationic current participates in generating the afterdepolarization and burst afterdischarge in rat neocortical pyramidal cells. Eur J Neurosci 10:1363-75

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

Netoff TI, Banks MI, Dorval AD, Acker CD, Haas JS, Kopell N, White JA (2005) Synchronization in hybrid neuronal networks of the hippocampal formation. J Neurophysiol 93:1197-208 [PubMed]

Pinsky PF, Rinzel J (1994) Intrinsic and network rhythmogenesis in a reduced Traub model for CA3 neurons. J Comput Neurosci 1:39-60 [Journal] [PubMed]

   CA3 pyramidal cell: rhythmogenesis in a reduced Traub model (Pinsky, Rinzel 1994) [Model]

Reyes AD, Fetz EE (1993) Two modes of interspike interval shortening by brief transient depolarizations in cat neocortical neurons. J Neurophysiol 69:1661-72 [Journal] [PubMed]

Shampine LF (1986) Some practical Runge-Kutta formulas Math Comput 46:135-150

Singer W (1999) Neuronal synchrony: a versatile code for the definition of relations? Neuron 24:49-65, 111-25 [PubMed]

Steriade M (2006) Grouping of brain rhythms in corticothalamic systems. Neuroscience 137:1087-106

Steriade M, Timofeev I, Durmuller N, Grenier F (1998) Dynamic properties of corticothalamic neurons and local cortical interneurons generating fast rhythmic (30-40 Hz) spike bursts. J Neurophysiol 79:483-90 [Journal] [PubMed]

Takekawa T, Aoyagi T, Fukai T (2004) Influences of synaptic location on the synchronization of rhythmic bursting neurons. Network 15:1-12

Tallon-Baudry C, Bertrand O, Delpuech C, Permier J (1997) Oscillatory gamma-band (30-70 Hz) activity induced by a visual search task in humans. J Neurosci 17:722-34

Traub RD, Buhl EH, Gloveli T, Whittington MA (2003) Fast Rhythmic Bursting Can Be Induced in Layer 2/3 Cortical Neurons by Enhancing Persistent Na(+) Conductance or by Blocking BK Channels. J Neurophysiol 89:909-21 [Journal] [PubMed]

   Mechanisms of fast rhythmic bursting in a layer 2/3 cortical neuron (Traub et al 2003) [Model]

Tsubo Y, Takada M, Fukai T (2005) Layer-specific synchronization properties and their cholinergic modulations of rat motor cortex pyramidal neurons Soc Neurosci Abstr 971.13

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

Wang XJ (1999) Fast burst firing and short-term synaptic plasticity: a model of neocortical chattering neurons. Neuroscience 89:347-62 [PubMed]

Wilson GF, Richardson FC, Fisher TE, Olivera BM, Kaczmarek LK (1996) Identification and characterization of a Ca(2+)-sensitive nonspecific cation channel underlying prolonged repetitive firing in Aplysia neurons. J Neurosci 16:3661-71

Fujita T, Fukai T, Kitano K (2012) Influences of membrane properties on phase response curve and synchronization stability in a model globus pallidus neuron J Comput Neurosci 32(3):539-53 [Journal] [PubMed]

   Phase response curve of a globus pallidal neuron (Fujita et al. 2011) [Model]

(41 refs)