References and models cited by this paper

References and models that cite this paper

Achermann P, Borbély AA (1997) Low-frequency (< 1 Hz) oscillations in the human sleep electroencephalogram. Neuroscience 81:213-22 [PubMed]

Agmon A, Connors BW (1992) Correlation between intrinsic firing patterns and thalamocortical synaptic responses of neurons in mouse barrel cortex. J Neurosci 12:319-29 [PubMed]

Andrillon T, Nir Y, Staba RJ, Ferrarelli F, Cirelli C, Tononi G, Fried I (2011) Sleep spindles in humans: insights from intracranial EEG and unit recordings. J Neurosci 31:17821-34 [Journal] [PubMed]

Bazhenov M, Timofeev I, Steriade M, Sejnowski TJ (1998) Cellular and network models for intrathalamic augmenting responses during 10-Hz stimulation. J Neurophysiol 79:2730-48 [Journal] [PubMed]

Bazhenov M, Timofeev I, Steriade M, Sejnowski TJ (2002) Model of thalamocortical slow-wave sleep oscillations and transitions to activated States. J Neurosci 22:8691-704 [Journal] [PubMed]

Benita JM, Guillamon A, Deco G, Sanchez-Vives MV (2012) Synaptic depression and slow oscillatory activity in a biophysical network model of the cerebral cortex. Front Comput Neurosci 6:64 [Journal] [PubMed]

Biggio M,Storace M,Mattia M (2013) Non-instantaneous synaptic transmission in spiking neuron networks and equivalence with delay distribution BMC Neuroscience 14(Suppl 1):P267

Bonjean M, Baker T, Lemieux M, Timofeev I, Sejnowski T, Bazhenov M (2011) Corticothalamic feedback controls sleep spindle duration in vivo. J Neurosci 31:9124-34 [Journal] [PubMed]

Buzsáki G, Anastassiou CA, Koch C (2012) The origin of extracellular fields and currents--EEG, ECoG, LFP and spikes. Nat Rev Neurosci 13:407-20 [Journal] [PubMed]

Chauvette S, Crochet S, Volgushev M, Timofeev I (2011) Properties of slow oscillation during slow-wave sleep and anesthesia in cats. J Neurosci 31:14998-5008 [Journal] [PubMed]

Chen JY, Chauvette S, Skorheim S, Timofeev I, Bazhenov M (2012) Interneuron-mediated inhibition synchronizes neuronal activity during slow oscillation. J Physiol 590:3987-4010 [Journal] [PubMed]

Compte A, Sanchez-Vives MV, McCormick DA, Wang XJ (2003) Cellular and network mechanisms of slow oscillatory activity (<1 Hz) and wave propagations in a cortical network model. J Neurophysiol 89:2707-25 [Journal] [PubMed]

Cona F, Lacanna M, Ursino M (2014) A thalamo-cortical neural mass model for the simulation of brain rhythms during sleep. J Comput Neurosci 37:125-48 [Journal] [PubMed]

Contreras D, Destexhe A, Sejnowski TJ, Steriade M (1997) Spatiotemporal patterns of spindle oscillations in cortex and thalamus. J Neurosci 17:1179-96 [PubMed]

Contreras D, Steriade M (1995) Cellular basis of EEG slow rhythms: a study of dynamic corticothalamic relationships. J Neurosci 15:604-22 [PubMed]

Coombes S (2005) Waves, bumps, and patterns in neural field theories. Biol Cybern 93:91-108 [Journal] [PubMed]

Cox R, Hofman WF, Talamini LM (2012) Involvement of spindles in memory consolidation is slow wave sleep-specific. Learn Mem 19:264-7 [Journal] [PubMed]

Deco G, Jirsa VK, Robinson PA, Breakspear M, Friston K (2008) The dynamic brain: from spiking neurons to neural masses and cortical fields. PLoS Comput Biol 4:e1000092 [Journal] [PubMed]

Destexhe A, Bal T, McCormick DA, Sejnowski TJ (1996) Ionic mechanisms underlying synchronized oscillations and propagating waves in a model of ferret thalamic slices. J Neurophysiol 76:2049-70 [Journal] [PubMed]

Destexhe A, Contreras D, Steriade M (1998) Mechanisms underlying the synchronizing action of corticothalamic feedback through inhibition of thalamic relay cells. J Neurophysiol 79:999-1016 [Journal] [PubMed]

Destexhe A, Contreras D, Steriade M, Sejnowski TJ, Huguenard JR (1996) In vivo, in vitro, and computational analysis of dendritic calcium currents in thalamic reticular neurons. J Neurosci 16:169-85 [Journal] [PubMed]

Destexhe A, Neubig M, Ulrich D, Huguenard J (1998) Dendritic low-threshold calcium currents in thalamic relay cells. J Neurosci 18:3574-88 [Journal] [PubMed]

Destexhe A, Sejnowski TJ (2003) Interactions between membrane conductances underlying thalamocortical slow-wave oscillations. Physiol Rev 83:1401-53 [Journal] [PubMed]

Diekelmann S, Born J (2010) The memory function of sleep. Nat Rev Neurosci 11:114-26 [Journal] [PubMed]

Diniz Behn CG, Booth V (2010) Simulating microinjection experiments in a novel model of the rat sleep-wake regulatory network. J Neurophysiol 103:1937-53 [Journal] [PubMed]

Disney AA, Aoki C, Hawken MJ (2007) Gain modulation by nicotine in macaque v1. Neuron 56:701-13 [Journal] [PubMed]

Gentet LJ, Ulrich D (2004) Electrophysiological characterization of synaptic connections between layer VI cortical cells and neurons of the nucleus reticularis thalami in juvenile rats. Eur J Neurosci 19:625-33 [PubMed]

Gulledge AT, Bucci DJ, Zhang SS, Matsui M, Yeh HH (2009) M1 receptors mediate cholinergic modulation of excitability in neocortical pyramidal neurons. J Neurosci 29:9888-902 [Journal] [PubMed]

Hasselmo ME, Giocomo LM (2006) Cholinergic modulation of cortical function. J Mol Neurosci 30:133-5 [Journal] [PubMed]

Hughes SW, Cope DW, Blethyn KL, Crunelli V (2002) Cellular mechanisms of the slow (<1 Hz) oscillation in thalamocortical neurons in vitro. Neuron 33:947-58 [PubMed]

Jansen BH, Zouridakis G, Brandt ME (1993) A neurophysiologically-based mathematical model of flash visual evoked potentials. Biol Cybern 68:275-83 [PubMed]

Jirsa VK (2009) Neural field dynamics with local and global connectivity and time delay. Philos Trans A Math Phys Eng Sci 367:1131-43 [Journal] [PubMed]

Kerr CC, Rennie CJ, Robinson PA (2008) Physiology-based modeling of cortical auditory evoked potentials. Biol Cybern 98:171-84 [Journal] [PubMed]

Kumar R, Bose A, Mallick BN (2012) A mathematical model towards understanding the mechanism of neuronal regulation of wake-NREMS-REMS states. PLoS One 7:e42059 [Journal] [PubMed]

Langdon AJ, Breakspear M, Coombes S (2012) Phase-locked cluster oscillations in periodically forced integrate-and-fire-or-burst neuronal populations. Phys Rev E Stat Nonlin Soft Matter Phys 86:061903 [Journal] [PubMed]

Léna I, Parrot S, Deschaux O, Muffat-Joly S, Sauvinet V, Renaud B, Suaud-Chagny MF, Gottesmann C (2005) Variations in extracellular levels of dopamine, noradrenaline, glutamate, and aspartate across the sleep--wake cycle in the medial prefrontal cortex and nucleus accumbens of freely moving rats. J Neurosci Res 81:891-9 [Journal] [PubMed]

Liley DT, Cadusch PJ, Dafilis MP (2002) A spatially continuous mean field theory of electrocortical activity. Network 13:67-113 [PubMed]

Liley DTJ, Cadusch PJ, Wright JJ (1999) A continuum theory of electro-cortical activity Neurocomputing 26:795-800

Lopes da Silva FH, Hoeks A, Smits H, Zetterberg LH (1974) Model of brain rhythmic activity. The alpha-rhythm of the thalamus. Kybernetik 15:27-37 [PubMed]

Lüthi A, McCormick DA (1998) Periodicity of thalamic synchronized oscillations: the role of Ca2+-mediated upregulation of Ih. Neuron 20:553-63 [PubMed]

Lüthi A, McCormick DA (1999) Modulation of a pacemaker current through Ca(2+)-induced stimulation of cAMP production. Nat Neurosci 2:634-41 [Journal] [PubMed]

Lydic R, Baghdoyan HA (2005) Sleep, anesthesiology, and the neurobiology of arousal state control. Anesthesiology 103:1268-95 [PubMed]

Marreiros AC, Daunizeau J, Kiebel SJ, Friston KJ (2008) Population dynamics: variance and the sigmoid activation function. Neuroimage 42:147-57 [Journal] [PubMed]

Marshall L, Helgadóttir H, Mölle M, Born J (2006) Boosting slow oscillations during sleep potentiates memory. Nature 444:610-3 [Journal] [PubMed]

Mayer J, Schuster HG, Claussen JC (2006) Role of inhibitory feedback for information processing in thalamocortical circuits. Phys Rev E Stat Nonlin Soft Matter Phys 73:031908 [Journal] [PubMed]

McCormick DA (1989) Cholinergic and noradrenergic modulation of thalamocortical processing. Trends Neurosci 12:215-21 [PubMed]

McCormick DA (1992) Neurotransmitter actions in the thalamus and cerebral cortex and their role in neuromodulation of thalamocortical activity. Prog Neurobiol 39:337-88 [PubMed]

McCormick DA, von Krosigk M (1992) Corticothalamic activation modulates thalamic firing through glutamate "metabotropic" receptors. Proc Natl Acad Sci U S A 89:2774-8 [PubMed]

Mehaffey WH, Doiron B, Maler L, Turner RW (2005) Deterministic multiplicative gain control with active dendrites. J Neurosci 25:9968-77 [Journal] [PubMed]

Menicucci D, Piarulli A, Allegrini P, Laurino M, Mastorci F, Sebastiani L, Bedini R, Gemignani A (2013) Fragments of wake-like activity frame down-states of sleep slow oscillations in humans: new vistas for studying homeostatic processes during sleep. Int J Psychophysiol 89:151-7 [Journal] [PubMed]

Mittmann T, Alzheimer C (1998) Muscarinic inhibition of persistent Na+ current in rat neocortical pyramidal neurons. J Neurophysiol 79:1579-82 [Journal] [PubMed]

Mölle M, Bergmann TO, Marshall L, Born J (2011) Fast and slow spindles during the sleep slow oscillation: disparate coalescence and engagement in memory processing. Sleep 34:1411-21 [Journal] [PubMed]

Mölle M, Marshall L, Gais S, Born J (2002) Grouping of spindle activity during slow oscillations in human non-rapid eye movement sleep. J Neurosci 22:10941-7 [PubMed]

Mölle M, Yeshenko O, Marshall L, Sara SJ, Born J (2006) Hippocampal sharp wave-ripples linked to slow oscillations in rat slow-wave sleep. J Neurophysiol 96:62-70 [Journal] [PubMed]

Nakagawa TT, Woolrich M, Luckhoo H, Joensson M, Mohseni H, Kringelbach ML, Jirsa V, Deco G (2014) How delays matter in an oscillatory whole-brain spiking-neuron network model for MEG alpha-rhythms at rest. Neuroimage 87:383-94 [Journal] [PubMed]

Ngo HV, Claussen JC, Born J, Mölle M (2013) Induction of slow oscillations by rhythmic acoustic stimulation. J Sleep Res 22:22-31 [Journal] [PubMed]

Ngo HV, Martinetz T, Born J, Mölle M (2013) Auditory closed-loop stimulation of the sleep slow oscillation enhances memory. Neuron 78:545-53 [Journal] [PubMed]

Ngo HV, Miedema A, Faude I, Martinetz T, Mölle M, Born J (2015) Driving sleep slow oscillations by auditory closed-loop stimulation-a self-limiting process. J Neurosci 35:6630-8 [Journal] [PubMed]

Peyrache A, Dehghani N, Eskandar EN, Madsen JR, Anderson WS, Donoghue JA, Hochberg LR, Halgren E, Cash SS, Destexhe A (2012) Spatiotemporal dynamics of neocortical excitation and inhibition during human sleep. Proc Natl Acad Sci U S A 109:1731-6 [Journal] [PubMed]

Phillips AJ, Robinson PA (2007) A quantitative model of sleep-wake dynamics based on the physiology of the brainstem ascending arousal system. J Biol Rhythms 22:167-79 [Journal] [PubMed]

Polack PO, Friedman J, Golshani P (2013) Cellular mechanisms of brain state-dependent gain modulation in visual cortex. Nat Neurosci 16:1331-9 [Journal] [PubMed]

Rasch B, Born J (2013) About sleep's role in memory. Physiol Rev 93:681-766 [Journal] [PubMed]

Rempe MJ, Best J, Terman D (2010) A mathematical model of the sleep/wake cycle. J Math Biol 60:615-44 [Journal] [PubMed]

Robinson PA, Rennie CJ, Wright JJ (1997) Propagation and stability of waves of electrical activity in the cerebral cortex Phys Rev E 56:826-840

Rosanova M, Ulrich D (2005) Pattern-specific associative long-term potentiation induced by a sleep spindle-related spike train. J Neurosci 25:9398-405 [Journal] [PubMed]

Rößler A (2010) Runge-Kutta Methods for the Strong Approximation of Solutions of Stochastic Differential Equations SIAM Journal on Numerical Analysis 48(3):922-952 [Journal]

Salami M, Itami C, Tsumoto T, Kimura F (2003) Change of conduction velocity by regional myelination yields constant latency irrespective of distance between thalamus and cortex. Proc Natl Acad Sci U S A 100:6174-9 [Journal] [PubMed]

Sanchez-Vives MV, McCormick DA (2000) Cellular and network mechanisms of rhythmic recurrent activity in neocortex. Nat Neurosci 3:1027-34 [Journal] [PubMed]

Schellenberger Costa M (2015) Neural mass model of the isolated thalamus during sleep. Available from: https://github.com/miscco/NM_Thalamus

Schellenberger Costa M (2015) Neural mass model of the thalamocortical system during sleep. Available from: https://github.com/miscco/NM_TC

Shilnikov A, Cymbalyuk G (2005) Transition between tonic spiking and bursting in a neuron model via the blue-sky catastrophe. Phys Rev Lett 94:048101 [Journal] [PubMed]

Soma S, Shimegi S, Osaki H, Sato H (2012) Cholinergic modulation of response gain in the primary visual cortex of the macaque. J Neurophysiol 107:283-91 [Journal] [PubMed]

Sotero RC, Trujillo-Barreto NJ (2008) Biophysical model for integrating neuronal activity, EEG, fMRI and metabolism. Neuroimage 39:290-309 [Journal] [PubMed]

Spiegler A, Kiebel SJ, Atay FM, Knösche TR (2010) Bifurcation analysis of neural mass models: Impact of extrinsic inputs and dendritic time constants. Neuroimage 52:1041-58 [Journal] [PubMed]

Steriade M (2003) The corticothalamic system in sleep. Front Biosci 8:d878-99 [PubMed]

Steriade M (2004) Acetylcholine systems and rhythmic activities during the waking--sleep cycle. Prog Brain Res 145:179-96 [Journal] [PubMed]

Steyn-Ross DA,Steyn-Ross ML,Wilcocks L,Sleigh JW (2001) Toward a theory of the general-anesthetic-induced phase transition of the cerebral cortex. II. Numerical simulations, spectral entropy, and correlation times. Physical Review E 64:011918

Suffczynski P, Kalitzin S, Lopes Da Silva FH (2004) Dynamics of non-convulsive epileptic phenomena modeled by a bistable neuronal network. Neuroscience 126:467-84 [Journal] [PubMed]

Tamakawa Y, Karashima A, Koyama Y, Katayama N, Nakao M (2006) A quartet neural system model orchestrating sleep and wakefulness mechanisms. J Neurophysiol 95:2055-69 [Journal] [PubMed]

Thurley K, Senn W, Lüscher HR (2008) Dopamine increases the gain of the input-output response of rat prefrontal pyramidal neurons. J Neurophysiol 99:2985-97 [Journal] [PubMed]

Timmons SD, Geisert E, Stewart AE, Lorenzon NM, Foehring RC (2004) alpha2-Adrenergic receptor-mediated modulation of calcium current in neocortical pyramidal neurons. Brain Res 1014:184-96 [Journal] [PubMed]

Timofeev I,Bazhenov M (2005) Mechanisms and biological role of thalamocortical oscillations Trends in Chronobiology Research :1-47

Touboul J, Wendling F, Chauvel P, Faugeras O (2011) Neural mass activity, bifurcations, and epilepsy. Neural Comput 23:3232-86 [Journal] [PubMed]

Traub RD, Contreras D, Cunningham MO, Murray H, LeBeau FE, Roopun A, Bibbig A, Wilent WB, Higley MJ, Whittington MA (2005) Single-column thalamocortical network model exhibiting gamma oscillations, sleep spindles, and epileptogenic bursts. J Neurophysiol 93:2194-232 [Journal] [PubMed]

Walker MP, Stickgold R (2004) Sleep-dependent learning and memory consolidation. Neuron 44:121-33 [Journal] [PubMed]

Weigenand A, Schellenberger Costa M, Ngo HV, Claussen JC, Martinetz T (2014) Characterization of K-complexes and slow wave activity in a neural mass model. PLoS Comput Biol 10:e1003923 [Journal] [PubMed]

Wilson HR, Cowan JD (1973) A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 13:55-80 [PubMed]

Wilson MT, Sleigh JW, Steyn-Ross DA, Steyn-Ross ML (2006) General anesthetic-induced seizures can be explained by a mean-field model of cortical dynamics. Anesthesiology 104:588-93 [PubMed]

Zandt BJ, Visser S, van Putten MJ, Ten Haken B (2014) A neural mass model based on single cell dynamics to model pathophysiology. J Comput Neurosci 37:549-68 [Journal] [PubMed]

Zhang ZW, Arsenault D (2005) Gain modulation by serotonin in pyramidal neurones of the rat prefrontal cortex. J Physiol 566:379-94 [Journal] [PubMed]

Zygierewicz J,Suffczynski P,Blinowska K (2001) A model of sleep spindles generation Neurocomputing 38-40:1619-1625 [Journal]

Li G, Henriquez C, Fröhlich F (2017) Unified Thalamic Model Generates Multiple Distinct Oscillations with State-dependent Entrainment by Stimulation PLOS Computational Biology 13(10):e1005797 [Journal]