Citation Relationships



Hutt A, Mierau A, Lefebvre J (2016) Dynamic Control of Synchronous Activity in Networks of Spiking Neurons. PLoS One 11:e0161488 [PubMed]

   Stochastic and periodic inputs tune ongoing oscillations (Hutt et al. 2016)

References and models cited by this paper

References and models that cite this paper

Akam TE, Kullmann DM (2012) Efficient "communication through coherence" requires oscillations structured to minimize interference between signals. PLoS Comput Biol 8:e1002760 [Journal] [PubMed]

Ali MM, Sellers KK, Fröhlich F (2013) Transcranial alternating current stimulation modulates large-scale cortical network activity by network resonance. J Neurosci 33:11262-75 [Journal] [PubMed]

Baker GL (2006) Probability, pendulums, and pedagogy Am. J. Phys. 74(6):482-489

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]

Cabral J, Luckhoo H, Woolrich M, Joensson M, Mohseni H, Baker A, Kringelbach ML, Deco G (2014) Exploring mechanisms of spontaneous functional connectivity in MEG: how delayed network interactions lead to structured amplitude envelopes of band-pass filtered oscillations. Neuroimage 90:423-35 [Journal] [PubMed]

Capocelli RM, Ricciardi LM (1971) Diffusion approximation and first passage time problem for a model neuron. Kybernetik 8:214-23 [PubMed]

Cecere R, Rees G, Romei V (2015) Individual differences in alpha frequency drive crossmodal illusory perception. Curr Biol 25:231-235 [Journal] [PubMed]

Chanes L, Quentin R, Tallon-Baudry C, Valero-Cabré A (2013) Causal frequency-specific contributions of frontal spatiotemporal patterns induced by non-invasive neurostimulation to human visual performance. J Neurosci 33:5000-5 [Journal] [PubMed]

Chiang AK, Rennie CJ, Robinson PA, van Albada SJ, Kerr CC (2011) Age trends and sex differences of alpha rhythms including split alpha peaks. Clin Neurophysiol 122:1505-17 [Journal] [PubMed]

Cohen MX (2014) Fluctuations in oscillation frequency control spike timing and coordinate neural networks. J Neurosci 34:8988-98 [Journal] [PubMed]

   Input strength and time-varying oscillation peak frequency (Cohen MX 2014) [Model]

Dayan E, Censor N, Buch ER, Sandrini M, Cohen LG (2013) Noninvasive brain stimulation: from physiology to network dynamics and back. Nat Neurosci 16:838-44 [Journal] [PubMed]

Doiron B, Lindner B, Longtin A, Maler L, Bastian J (2004) Oscillatory activity in electrosensory neurons increases with the spatial correlation of the stochastic input stimulus. Phys Rev Lett 93:048101 [Journal] [PubMed]

Engel AK, Fries P, Singer W (2001) Dynamic predictions: oscillations and synchrony in top-down processing. Nat Rev Neurosci 2:704-16 [Journal] [PubMed]

Engel AK, Singer W (2001) Temporal binding and the neural correlates of sensory awareness. Trends Cogn Sci 5:16-25 [PubMed]

Ermentrout B (1998) Neural nets as spatio-temporal pattern forming systems Rep Prog Phys 61:353-430

Fröhlich F (2015) Experiments and models of cortical oscillations as a target for noninvasive brain stimulation. Prog Brain Res 222:41-73 [Journal] [PubMed]

Gutmann B, Mierau A, Hülsdünker T, Hildebrand C, Przyklenk A, Hollmann W, Strüder HK (2015) Effects of physical exercise on individual resting state EEG alpha peak frequency. Neural Plast 2015:717312 [Journal] [PubMed]

Haegens S, Cousijn H, Wallis G, Harrison PJ, Nobre AC (2014) Inter- and intra-individual variability in alpha peak frequency. Neuroimage 92:46-55 [Journal] [PubMed]

Hammond C, Bergman H, Brown P (2007) Pathological synchronization in Parkinson's disease: networks, models and treatments. Trends Neurosci 30:357-64 [Journal] [PubMed]

He JH (20054) Periodic solutions and bifurcations of delay-differential equations Physics Letters A 347:228-230

Helfrich RF, Schneider TR, Rach S, Trautmann-Lengsfeld SA, Engel AK, Herrmann CS (2014) Entrainment of brain oscillations by transcranial alternating current stimulation. Curr Biol 24:333-9 [Journal] [PubMed]

Henry MJ, Herrmann B, Obleser J (2014) Entrained neural oscillations in multiple frequency bands comodulate behavior. Proc Natl Acad Sci U S A 111:14935-40 [Journal] [PubMed]

Hermes D, Miller KJ, Wandell BA, Winawer J (2015) Stimulus Dependence of Gamma Oscillations in Human Visual Cortex. Cereb Cortex 25:2951-9 [Journal] [PubMed]

Herrmann CS (2001) Human EEG responses to 1-100 Hz flicker: resonance phenomena in visual cortex and their potential correlation to cognitive phenomena. Exp Brain Res 137:346-53 [PubMed]

Herrmann CS, Murray MM, Ionta S, Hutt A, Lefebvre J (2016) Shaping Intrinsic Neural Oscillations with Periodic Stimulation. J Neurosci 36:5328-37 [Journal] [PubMed]

Hindriks R, van Putten MJAM, Deco G (2014) Intra-cortical propagation of EEG alpha oscillations. Neuroimage 103:444-453 [Journal] [PubMed]

Hoppensteadt FC, Izhikevich EM (1998) Thalamo-cortical interactions modeled by weakly connected oscillators: could the brain use FM radio principles? Biosystems 48:85-94 [PubMed]

Hülsdünker T, Mierau A, Strüder HK (2015) Higher Balance Task Demands are Associated with an Increase in Individual Alpha Peak Frequency. Front Hum Neurosci 9:695 [Journal] [PubMed]

Hutt A, Buhry L (2014) Study of GABAergic extra-synaptic tonic inhibition in single neurons and neural populations by traversing neural scales: application to propofol-induced anaesthesia. J Comput Neurosci 37:417-37 [Journal] [PubMed]

Jadi MP, Sejnowski TJ (2014) Cortical oscillations arise from contextual interactions that regulate sparse coding. Proc Natl Acad Sci U S A 111:6780-5 [Journal] [PubMed]

Jia X, Smith MA, Kohn A (2011) Stimulus selectivity and spatial coherence of gamma components of the local field potential. J Neurosci 31:9390-403 [Journal] [PubMed]

Klimesch W (2012) a-band oscillations, attention, and controlled access to stored information. Trends Cogn Sci 16:606-17 [Journal] [PubMed]

Klimesch W, Schimke H, Pfurtscheller G (1993) Alpha frequency, cognitive load and memory performance. Brain Topogr 5:241-51 [PubMed]

Krause CM, Sillanmäki L, Koivisto M, Saarela C, Häggqvist A, Laine M, Hämäläinen H (2000) The effects of memory load on event-related EEG desynchronization and synchronization. Clin Neurophysiol 111:2071-8 [PubMed]

Lánský P (1984) On approximations of Stein's neuronal model. J Theor Biol 107:631-47 [PubMed]

Lefebvre J, Hutt A, Knebel JF, Whittingstall K, Murray MM (2015) Stimulus statistics shape oscillations in nonlinear recurrent neural networks. J Neurosci 35:2895-903 [Journal] [PubMed]

Lefebvre J, Longtin A, LeBlanc VG (2009) Dynamics of driven recurrent networks of ON and OFF cells. Phys Rev E Stat Nonlin Soft Matter Phys 80:041912 [Journal] [PubMed]

Lindner B, Doiron B, Longtin A (2005) Theory of oscillatory firing induced by spatially correlated noise and delayed inhibitory feedback. Phys Rev E Stat Nonlin Soft Matter Phys 72:061919 [Journal] [PubMed]

Lisman JE, Jensen O (2013) The ?-? neural code. Neuron 77:1002-16 [Journal] [PubMed]

Little S, Brown P (2012) What brain signals are suitable for feedback control of deep brain stimulation in Parkinson's disease? Ann N Y Acad Sci 1265:9-24 [Journal] [PubMed]

Liu HM (2005) Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt-Poincare method Chaos, Solitons and Fractals 23:577-579

Mierau A, Felsch M, Hülsdünker T, Mierau J, Bullermann P, Weiß B, Strüder HK (2016) The interrelation between sensorimotor abilities, cognitive performance and individual EEG alpha peak frequency in young children. Clin Neurophysiol 127:270-276 [Journal] [PubMed]

Milton J (1996) Dynamics of small neural populations

Neuling T, Rach S, Herrmann CS (2013) Orchestrating neuronal networks: sustained after-effects of transcranial alternating current stimulation depend upon brain states. Front Hum Neurosci 7:161 [Journal] [PubMed]

Notbohm A, Kurths J, Herrmann CS (2016) Modification of Brain Oscillations via Rhythmic Light Stimulation Provides Evidence for Entrainment but Not for Superposition of Event-Related Responses. Front Hum Neurosci 10:10 [Journal] [PubMed]

Paulus W (2011) Transcranial electrical stimulation (tES - tDCS; tRNS, tACS) methods. Neuropsychol Rehabil 21:602-17 [Journal] [PubMed]

Perlmutter JS, Mink JW (2006) Deep brain stimulation. Annu Rev Neurosci 29:229-57 [Journal] [PubMed]

Pfurtscheller G, Lopes da Silva FH (1999) Event-related EEG/MEG synchronization and desynchronization: basic principles. Clin Neurophysiol 110:1842-57 [PubMed]

Ray S, Maunsell JH (2010) Differences in gamma frequencies across visual cortex restrict their possible use in computation. Neuron 67:885-96 [Journal] [PubMed]

Romei V, Driver J, Schyns PG, Thut G (2011) Rhythmic TMS over parietal cortex links distinct brain frequencies to global versus local visual processing. Curr Biol 21:334-7 [Journal] [PubMed]

Samaha J, Bauer P, Cimaroli S, Postle BR (2015) Top-down control of the phase of alpha-band oscillations as a mechanism for temporal prediction. Proc Natl Acad Sci U S A 112:8439-44 [Journal] [PubMed]

Samaha J, Postle BR (2015) The Speed of Alpha-Band Oscillations Predicts the Temporal Resolution of Visual Perception. Curr Biol 25:2985-90 [Journal] [PubMed]

Shiino M (1987) Dynamical behavior of stochastic systems of infinitely many coupled nonlinear oscillators exhibiting phase transitions of mean-field type: H theorem on asymptotic approach to equilibrium and critical slowing down of order-parameter fluctuations. Phys Rev A Gen Phys 36:2393-2412 [PubMed]

Steriade M, Timofeev I, Grenier F (2001) Natural waking and sleep states: a view from inside neocortical neurons. J Neurophysiol 85:1969-85 [Journal] [PubMed]

Sutherland C, Doiron B, Longtin A (2009) Feedback-induced gain control in stochastic spiking networks. Biol Cybern 100:475-89 [Journal] [PubMed]

Wang XJ, Buzsáki G (1996) Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. J Neurosci 16:6402-13 [Journal] [PubMed]

   Gamma oscillations in hippocampal interneuron networks (Wang, Buzsaki 1996) [Model]

Whittington MA, Traub RD, Jefferys JG (1995) Synchronized oscillations in interneuron networks driven by metabotropic glutamate receptor activation. Nature 373:612-5 [Journal] [PubMed]

(57 refs)