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研究生: You Anni
Anis Yuniati
論文名稱: Inter-layer interactions of noise-driven neural network
Inter-layer interactions of noise-driven neural network
指導教授: 陳啟明
Chen, Chi-Ming
學位類別: 博士
Doctor
系所名稱: 物理學系
Department of Physics
論文出版年: 2017
畢業學年度: 106
語文別: 英文
論文頁數: 115
中文關鍵詞: biological neural networksinter-layer interactionsnoise-driven synchronizationspike-timing-dependent plasticitysynchronous firingcomputer simulationdeveloping neural networksrepair mechanism of neural networks
英文關鍵詞: biological neural networks, inter-layer interactions, noise-driven synchronization, spike-timing-dependent plasticity, synchronous firing, computer simulation, developing neural networks, repair mechanism of neural networks
DOI URL: http://doi.org/10.6345/DIS.NTNU.DP.002.2018.B04
論文種類: 學術論文
相關次數: 點閱:126下載:0
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  • The role of neurons in the brain as an information processing system has attracted considerable attentions and motivated the development of various research techniques. Computationally simulating the interaction among neurons is very useful in investigating the complexity of a neural network. Developed neural networks may exhibit complex dynamic behaviors, such as synchronization and clustered synchronous firing. In this study, we used the Hodgkin-Huxley (HH) model of neurons to investigate the phase diagram of a developing single-layer neural network and that of a network consisting of two weakly coupled neural layers. These networks are noise driven and learn through the spike-timing-dependent plasticity (STDP) or the inverse STDP rules. We described how these networks transited from a nonsynchronous background activity state (BAS) to a synchronous firing state (SFS) by varying the network connectivity and the learning efficacy. In particular, we studied the interaction between a SFS layer and a BAS layer, and investigated how synchronous firing dynamics was induced in the BAS layer. We further investigated the effect of the inter-layer interaction on a BAS to SFS repair mechanism by considering three types of neuron positioning (random, uniform, and lognormal distributions) and two types of inter-layer connections (random and preferential connections). Among these scenarios, we concluded that the repair mechanism has the largest effect for a network with the lognormal neuron positioning and the preferential inter-layer connections.

    Contents Abstract 2 Declaration 3 Acknowledgement 4 Contents 5 List of figures 8 List of tables 12 List of symbols 13 Chapter 1. Introduction 15 Chapter 2. The brain and nervous system 20 2.1. The neuron 20 2.1.1. The structure of neurons 20 2.1.2. Types of neurons 21 2.2. Supporting cells 23 2.2.1. Supporting cells for central nervous system 23 2.2.2. Supporting cells for peripheral nervous system 25 2.2.3. Calcium wave 25 2.3. Nerve fibers 27 2.3.1. Myelinated fibers 27 2.3.2. Non-myelinated fibers 28 2.4. The nerve impulse 30 2.4.1. The resting potential 30 2.4.2. The action potential 31 2.4.3. Transmission of nerve impulses 33 2.5. Synapse 34 2.5.1. Synaptic structure 35 2.5.2. Synapse formation 35 2.5.3. Types of synapses 36 2.5.4. Synaptic plasticity 38 2.6. Network system 39 2.6.1. Complex Network Analysis of Brain Connectivity 39 2.6.2. Network properties 40 2.6.3. Network measures 42 2.6.4. Network models 43 Chapter 3. Models of the neuron 47 3.1. The Hodgkin-Huxley model 47 3.1.1. Basic components 47 3.1.2. Ionic current characterization 48 3.2. Neural networks 52 3.2.1. The connection probability 53 3.2.2. The coupled neural network 54 3.2.3. The synaptic strengths 57 3.2.4. Simulating the dynamics of coupled networks 59 3.2.5. Neuron synchronization 61 Chapter 4. Result and Discussion 63 4.1. Small world properties of single network 63 4.1.1. The characteristic path length (L) 63 4.1.2. The clustering coefficient (Ci) 65 4.2. Synchronous firing dynamics of a developing neural network. 68 4.2.1. The threshold value of network connections. 68 4.2.2. The phase diagram of a developing neural network. 70 4.2.3. The synchronization order parameter at various value of network connectivity. 74 4.3. Interactions of two neural layers. 76 4.3.1. Synchronization order parameter of BAS layer as a function of simulation time. 76 4.3.2. The time series of neuron firing and the average membrane potential of BAS layer induced by SFS layer with different A+. 79 4.3.3. The time series of neuron firing and the average membrane potential of BAS layer induced by SFS layer with different Nc. 80 4.3.4. The average synaptic weight of BAS layer. 81 4.3.5. The synchronization order parameter of a BAS layer varying with inter-layer connections. 83 4.3.6. Phase diagram with Nc2 variation. 84 4.3.7. Phase difference of two coupled SFS layers 86 4.4. Design of coupled neural networks. 88 4.4.1. Neuron positioning on the substrate. 88 4.4.2. The distribution of neurons degree. 90 4.4.3. Comparison between random, uniform, and log normal position for connected and disconnected inter-network connections with STDP learning. 91 4.4.4. Comparison between random and preferential inter-connections for three types neurons position (STDP). 94 4.4.5. Comparison between random, uniform, and log normal position for connected and disconnected inter-network connections with inverse STDP learning. 97 4.4.6. Comparison between random and preferential inter-connections for three types neurons position (inverse STDP). 100 4.4.7. The best design and the worst design in neuron positioning and inter-layer connections. 103 Chapter 5. Conclusion 105 References 106

    Achard, S., Salvador, R., Whitcher, B., Suckling, J. & Bullmore, E. (2006) A Resilient, Low-Frequency, Small-World Human Brain Functional Network with Highly Connected Association Cortical Hubs. The Journal of Neuroscience, 26, 63-72.

    Amaral, L.A.N. & Ottino, J.M. (2004) Complex networks. Eur. Phys. J. B, 38, 147-162.

    Antzoulatos, Evan G. & Miller, Earl K. (2014) Increases in Functional Connectivity between Prefrontal Cortex and Striatum during Category Learning. Neuron, 83, 216-225.

    Auerbach, J.G., Faroy, M., Ebstein, R., Kahana, M. & Levine, J. (2001) The Association of the Dopamine D4 Receptor Gene (DRD4) and the Serotonin Transporter Promoter Gene (5-HTTLPR) with Temperament in 12-month-old Infants. Journal of Child Psychology and Psychiatry, 42, 777-783.

    Avella Gonzalez, O.J., van Aerde, K.I., Mansvelder, H.D., van Pelt, J. & van Ooyen, A. (2014) Inter-Network Interactions: Impact of Connections between Oscillatory Neuronal Networks on Oscillation Frequency and Pattern. PLoS ONE, 9, e100899.

    Axmacher, N., Mormann, F., Fernández, G., Elger, C.E. & Fell, J. (2006) Memory formation by neuronal synchronization. Brain Research Reviews, 52, 170-182.

    Banerjee, A., Meredith, R.M., Rodríguez-Moreno, A., Mierau, S.B., Auberson, Y.P. & Paulsen, O. (2009) Double Dissociation of Spike Timing–Dependent Potentiation and Depression by Subunit-Preferring NMDA Receptor Antagonists in Mouse Barrel Cortex. Cerebral Cortex (New York, NY), 19, 2959-2969.

    Barabási, A.-L. & Albert, R. (1999) Emergence of Scaling in Random Networks. Science, 286, 509-512.

    Barrat, A., Barthelemy, M., Pastor-Satorras, R. & Vespignani, A. (2004) The architecture of complex weighted networks. Proceedings of the National Academy of Sciences of the United States of America, 101, 3747-3752.

    Barthélemy, M., Barrat, A., Pastor-Satorras, R. & Vespignani, A. (2005) Characterization and modeling of weighted networks. Physica A: Statistical Mechanics and its Applications, 346, 34-43.

    Bartos, M., Vida, I., Frotscher, M., Geiger, J.R.P. & Jonas, P. (2001) Rapid Signaling at Inhibitory Synapses in a Dentate Gyrus Interneuron Network. The Journal of Neuroscience, 21, 2687-2698.

    Bassett, D.S., Bullmore, E., Verchinski, B.A., Mattay, V.S., Weinberger, D.R. & Meyer-Lindenberg, A. (2008) Hierarchical Organization of Human Cortical Networks in Health and Schizophrenia. The Journal of Neuroscience, 28, 9239-9248.

    Bassett, D.S., Meyer-Lindenberg, A., Achard, S., Duke, T. & Bullmore, E. (2006) Adaptive reconfiguration of fractal small-world human brain functional networks. Proceedings of the National Academy of Sciences, 103, 19518-19523.

    Bell, C.C., Han, V.Z., Sugawara, Y. & Grant, K. (1999) Synaptic plasticity in the mormyrid electrosensory lobe. J Exp Biol, 202, 1339-1347.

    Ben-Ari, Y. (2001) Developing networks play a similar melody. Trends in Neurosciences, 24, 353-360.

    Ben-Ari, Y., Cherubini, E., Corradetti, R. & Gaiarsa, J.L. (1989) Giant synaptic potentials in immature rat CA3 hippocampal neurones. The Journal of Physiology, 416, 303-325.

    Bi, G. & Poo, M. (2001) Synaptic modification by correlated activity: Hebb's postulate revisited. Annual review of neuroscience, 24, 139-166.

    Boccaletti, S., Latora, V., Moreno, Y., Chavez, M. & Hwang, D.U. (2006) Complex networks: Structure and dynamics. Physics Reports, 424, 175-308.

    Bonifazi, P., Goldin, M., Picardo, M.A., Jorquera, I., Cattani, A., Bianconi, G., Represa, A., Ben-Ari, Y. & Cossart, R. (2009) GABAergic Hub Neurons Orchestrate Synchrony in Developing Hippocampal Networks. Science, 326, 1419.

    Breakspear, M., Terry, J.R., Friston, K.J., Harris, A.W.F., Williams, L.M., Brown, K., Brennan, J. & Gordon, E. (2003) A disturbance of nonlinear interdependence in scalp EEG of subjects with first episode schizophrenia. NeuroImage, 20, 466-478.

    Breakspear, M., Williams, L. & Stam, C. (2004) A Novel Method for the Topographic Analysis of Neural Activity Reveals Formation and Dissolution of ‘Dynamic Cell Assemblies’. J Comput Neurosci, 16, 49-68.

    Bressler, S.L. & Menon, V. (2010) Large-scale brain networks in cognition: emerging methods and principles. Trends in Cognitive Sciences, 14, 277-290.

    Bullmore, E. & Sporns, O. (2009) Complex brain networks: graph theoretical analysis of structural and functional systems. Nat Rev Neurosci, 10, 186-198.

    Buzsáki, G. (2002) Theta Oscillations in the Hippocampus. Neuron, 33, 325-340.

    Buzsáki, G. (2005) Theta rhythm of navigation: Link between path integration and landmark navigation, episodic and semantic memory. Hippocampus, 15, 827-840.

    Buzsáki, G. & Draguhn, A. (2004) Neuronal Oscillations in Cortical Networks. Science, 304, 1926-1929.

    Castro, C.A., Silbert, L.H., McNaughton, B.L. & Barnes, C.A. (1989) Recovery of spatial learning deficits after decay of electrically induced synaptic enhancement in the hippocampus. Nature, 342, 545-548.

    Chao, T.C. & Chen, C.M. (2005) Learning-Induced Synchronization and Plasticity of a Developing Neural Network. J Comput Neurosci, 19, 311-324.

    Chen, Z., Jalabi, W., Hu, W., Park, H.-J., Gale, J.T., Kidd, G.J., Bernatowicz, R., Gossman, Z.C., Chen, J.T., Dutta, R. & Trapp, B.D. (2014) Microglial displacement of inhibitory synapses provides neuroprotection in the adult brain. Nat Commun, 5.

    Clark, R.K. (2005) Anatomy and Physiology: Understanding the Human Body. Jones & Bartlett Learning.

    Csicsvari, J., Jamieson, B., Wise, K.D. & Buzsáki, G. (2003) Mechanisms of Gamma Oscillations in the Hippocampus of the Behaving Rat. Neuron, 37, 311-322.

    Deuker, L., Bullmore, E.T., Smith, M., Christensen, S., Nathan, P.J., Rockstroh, B. & Bassett, D.S. (2009) Reproducibility of graph metrics of human brain functional networks. NeuroImage, 47, 1460-1468.

    Doesburg, S. & Ward, L. (2009) Synchronization Between Sources: Emerging Methods for Understanding Large-Scale Functional Networks in the Human Brain. In Velazquez, J.L.P., Wennberg, R. (eds) Coordinated Activity in the Brain. Springer New York, pp. 25-42.

    Engel, A.K., Fries, P. & Singer, W. (2001) Dynamic predictions: Oscillations and synchrony in top-down processing. Nat Rev Neurosci, 2, 704-716.

    Eric R. Kandel, James H. Schwartz, Thomas M. Jessell, Steven A. Siegelbaum, A. J. Hudspeth & Mack, S. (2013) Principles of Neural Science. The McGraw-Hill United States of America.

    Fields, R.D. & Stevens-Graham, B. (2002) New Insights into Neuron-Glia Communication. Science (New York, N.Y.), 298, 556-562.

    Fino, E., Glowinski, J. & Venance, L. (2005) Bidirectional Activity-Dependent Plasticity at Corticostriatal Synapses. The Journal of Neuroscience, 25, 11279-11287.

    Fisahn, A., Pike, F.G., Buhl, E.H. & Paulsen, O. (1998) Cholinergic induction of network oscillations at 40[thinsp]Hz in the hippocampus in vitro. Nature, 394, 186-189.

    FitzHugh, R. (1961) Impulses and Physiological States in Theoretical Models of Nerve Membrane. Biophysical Journal, 1, 445-466.

    Fries, P. (2009) Neuronal Gamma-Band Synchronization as a Fundamental Process in Cortical Computation. Annual Review of Neuroscience, 32, 209-224.

    Fries, P., Reynolds, J.H., Rorie, A.E. & Desimone, R. (2001) Modulation of Oscillatory Neuronal Synchronization by Selective Visual Attention. Science, 291, 1560-1563.

    Friston, K.J. (1994) Functional and effective connectivity in neuroimaging: A synthesis. Human Brain Mapping, 2, 56-78.

    Friston, K.J. (1996) Theoretical neurobiology and schizophrenia. British medical bulletin, 52, 644-655.

    Fujii, H., Ito, H., Aihara, K., Ichinose, N. & Tsukada, M. (1996) Dynamical Cell Assembly Hypothesis — Theoretical Possibility of Spatio-temporal Coding in the Cortex. Neural Networks, 9, 1303-1350.

    Gray, C.M., Engel, A.K., König, P. & Singer, W. (1992) Synchronization of oscillatory neuronal responses in cat striate cortex: Temporal properties. Visual Neuroscience, 8, 337-347.

    Guthrie, P.B., Knappenberger, J., Segal, M., Bennett, M.V., Charles, A.C. & Kater, S. (1999) ATP released from astrocytes mediates glial calcium waves. The Journal of neuroscience, 19, 520-528.

    Haenschel, C., Bittner, R.A., Waltz, J., Haertling, F., Wibral, M., Singer, W., Linden, D.E.J. & Rodriguez, E. (2009) Cortical Oscillatory Activity Is Critical for Working Memory as Revealed by Deficits in Early-Onset Schizophrenia. The Journal of Neuroscience, 29, 9481-9489.

    Hagmann, P., Cammoun, L., Gigandet, X., Meuli, R., Honey, C.J., Wedeen, V.J. & Sporns, O. (2008) Mapping the Structural Core of Human Cerebral Cortex. PLoS Biology, 6, e159.

    Han, F., Lu, Q.S., Wiercigroch, M., Fang, J.A. & Wang, Z.J. (2012) Firing synchronization of learning neuronal networks with small-world connectivity. International Journal of Non-Linear Mechanics, 47, 1161-1166.

    Hassinger, T.D., Guthrie, P.B., Atkinson, P.B., Bennett, M.V.L. & Kater, S.B. (1996) An extracellular signaling component in propagation of astrocytic calcium waves. Proceedings of the National Academy of Sciences, 93, 13268-13273.

    He, Y., Chen, Z.J. & Evans, A.C. (2007) Small-World Anatomical Networks in the Human Brain Revealed by Cortical Thickness from MRI. Cerebral Cortex, 17, 2407-2419.

    Heinrich, C., Bergami, M., Gascón, S., Lepier, A., Viganò, F., Dimou, L., Sutor, B., Berninger, B. & Götz, M. (2014) Sox2-Mediated Conversion of NG2 Glia into Induced Neurons in the Injured Adult Cerebral Cortex. Stem Cell Reports, 3, 1000-1014.

    Hindmarsh, J.L. & Rose, R.M. (1982) A model of the nerve impulse using two first-order differential equations. Nature, 296, 162-164.

    Hodgkin, A.L. & Huxley, A.F. (1952a) Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo. The Journal of Physiology, 116, 449-472.

    Hodgkin, A.L. & Huxley, A.F. (1952b) A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of Physiology, 117, 500-544.

    Hopfield, J.J. & Brody, C.D. (2004) Learning rules and network repair in spike-timing-based computation networks. Proceedings of the National Academy of Sciences, 101, 337-342.

    Howell, B.W., Hawkes, R., Soriano, P. & Cooper, J.A. (1997) Neuronal position in the developing brain is regulated by mouse disabled-1. Nature, 389, 733-737.

    Hughes, J.R. (1958) Post-Tetanic Potentiation. Physiological Reviews, 38, 91-113.

    Izhikevich, E.M. (2003) Simple model of spiking neurons. Neural Networks, IEEE Transactions on, 14, 1569-1572.

    Jane B. Reece, Lisa A. Urry, Michael L. Cain, Steven A. Wasserman, Peter V. Minorsky & Jackson, R.B. (2014) Biology. Benjamin Cummings.

    Jia, L.C., Sano, M., Lai, P.-Y. & Chan, C.K. (2004a) Connectivities and Synchronous Firing in Cortical Neuronal Networks. Physical Review Letters, 93, 088101.

    Jia, L.C., Sano, M., Lai, P.Y. & Chan, C.K. (2004b) Connectivities and synchronous firing in cortical neuronal networks. Phys Rev Lett, 93, 088101.

    Kaczorowski, C.C. & Disterhoft, J.F. (2009) Memory deficits are associated with impaired ability to modulate neuronal excitability in middle-aged mice. Learning & Memory, 16, 362-366.

    Kahana, M.J. (2006) The Cognitive Correlates of Human Brain Oscillations. The Journal of Neuroscience, 26, 1669-1672.

    Kavasseri, R.G. & Nagarajan, R. (2006) Synchronization in Electrically Coupled Neural Networks. Complex Systems, 16, 369-380.

    Kettenmann, H. & Verkhratsky, A. (2011) Neuroglia, der lebende Nervenkitt. Fortschr Neurol Psychiatr, 79, 588-597.

    Koch, C. (1999) Biophysics of Computation. Oxford University Press, Oxford.

    Koch, C. (2004) Biophysics of Computation: Information Processing in Single Neurons (Computational Neuroscience Series). Oxford University Press, Inc.

    Koizumi, S., Fujishita, K., Tsuda, M., Shigemoto-Mogami, Y. & Inoue, K. (2003) Dynamic inhibition of excitatory synaptic transmission by astrocyte-derived ATP in hippocampal cultures. Proceedings of the National Academy of Sciences, 100, 11023-11028.

    Latora, V. & Marchiori, M. (2001) Efficient Behavior of Small-World Networks. Physical Review Letters, 87, 198701.

    Latora, V. & Marchiori, M. (2003) Economic small-world behavior in weighted networks. Eur Phys J B, 32, 249-263.

    Lehnertz, K., Andrzejak, R.G., Arnhold, J., Kreuz, T., Mormann, F., Rieke, C., Widman, G. & Elger, C.E. (2001) Nonlinear EEG analysis in epilepsy: Its possible use for interictal focus localization, seizure anticipation, and prevention. Journal of Clinical Neurophysiology, 18, 209-222.

    Leistedt, S.J.J., Coumans, N., Dumont, M., Lanquart, J.-P., Stam, C.J. & Linkowski, P. (2009) Altered sleep brain functional connectivity in acutely depressed patients. Human Brain Mapping, 30, 2207-2219.

    Lin, I.H., Wu, R.K. & Chen, C.M. (2011) Synchronization in a noise-driven developing neural network. Physical Review E, 84, 051923.

    Linsker, R. (1986) From basic network principles to neural architecture: emergence of spatial-opponent cells. Proc Natl Acad Sci U S A, 83, 7508-7512.

    Mainen, Z.F. & Sejnowski, T.J. (1995) Reliability of spike timing in neocortical neurons. Science, 268, 1503.

    Markram, H., Lübke, J., Frotscher, M. & Sakmann, B. (1997) Regulation of Synaptic Efficacy by Coincidence of Postsynaptic APs and EPSPs. Science, 275, 213-215.

    Miltner, W.H.R., Braun, C., ArnoldMatthias, Witte, H. & Taub, E. (1999) Coherence of gamma-band EEG activity as a basis for associative learning. Nature, 397, 434-436.

    Moser, E.I., Krobert, K.A., Moser, M.B. & Morris, R.G. (1998) Impaired spatial learning after saturation of long-term potentiation. Science, 281, 2038-2042.

    Motter, A.E., Matías, M.A., Kurths, J. & Ott, E. (2006) Dynamics on Complex Networks and Applications. Physica D: Nonlinear Phenomena, 224, vii-viii.

    Nagumo, J., Arimoto, S. & Yoshizawa, S. (1962) An Active Pulse Transmission Line Simulating Nerve Axon. Proceedings of the IRE, 50, 2061-2070.

    Nass, M.M. & Cooper, L.N. (1975) A theory for the development of feature detecting cells in visual cortex. Biol Cybern, 19, 1-18.

    Neiman, A., Silchenko, A., Anishchenko, V. & Schimansky-Geier, L. (1998) Stochastic resonance: Noise-enhanced phase coherence. Physical Review E, 58, 7118-7125.

    Newman, M.E.J. (2004) Analysis of weighted networks. Physical Review E, 70, 056131.

    Onnela, J.-P., Saramäki, J., Kertész, J. & Kaski, K. (2005) Intensity and coherence of motifs in weighted complex networks. Physical Review E, 71, 065103.

    Park, K., Lai, Y.C. & Ye, N. (2004) Characterization of weighted complex networks. Physical Review E, 70.

    Penttonen, M., Kamondi, A., Acsády, L. & Buzsáki, G. (1998) Gamma frequency oscillation in the hippocampus of the rat: intracellular analysis in vivo. European Journal of Neuroscience, 10, 718-728.

    Pikovsky, A., Rosenblum, M. & Kurths, J. (2001) A universal concept in nonlinear sciences. Self, 2, 3.

    Ponten, S.C., Douw, L., Bartolomei, F., Reijneveld, J.C. & Stam, C.J. (2009) Indications for network regularization during absence seizures: Weighted and unweighted graph theoretical analyses. Experimental Neurology, 217, 197-204.

    Reijneveld, J.C., Ponten, S.C., Berendse, H.W. & Stam, C.J. (2007) The application of graph theoretical analysis to complex networks in the brain. Clinical Neurophysiology, 118, 2317-2331.

    Rodriguez, E., George, N., Lachaux, J.-P., Martinerie, J., Renault, B. & Varela, F.J. (1999) Perception's shadow: long-distance synchronization of human brain activity. Nature, 397, 430-433.

    Rubinov, M. & Sporns, O. (2010) Complex network measures of brain connectivity: Uses and interpretations. NeuroImage, 52, 1059-1069.

    Sporns, O. & Zwi, J. (2004) The small world of the cerebral cortex. Neuroinform, 2, 145-162.

    Stam, C. & Reijneveld, J. (2007) Graph theoretical analysis of complex networks in the brain. Nonlinear Biomed Phys, 1, 1-19.

    Stam, C.J., de Haan, W., Daffertshofer, A., Jones, B.F., Manshanden, I., van Cappellen van Walsum, A.M., Montez, T., Verbunt, J.P.A., de Munck, J.C., van Dijk, B.W., Berendse, H.W. & Scheltens, P. (2009) Graph theoretical analysis of magnetoencephalographic functional connectivity in Alzheimer's disease. Brain, 132, 213-224.

    Stanfield, B.B. & Cowan, W.M. (1979) The morphology of the hippocampus and dentate gyrus in normal and reeler mice. The Journal of Comparative Neurology, 185, 393-422.

    Stefanescu, R.A. & Jirsa, V.K. (2008) A Low Dimensional Description of Globally Coupled Heterogeneous Neural Networks of Excitatory and Inhibitory Neurons. PLoS Comput Biol, 4, e1000219.

    Stein, R.B. (1967) Some Models of Neuronal Variability. Biophysical Journal, 7, 37-68.

    Takahashi, N., Sasaki, T., Matsumoto, W., Matsuki, N. & Ikegaya, Y. (2010) Circuit topology for synchronizing neurons in spontaneously active networks. Proceedings of the National Academy of Sciences, 107, 10244-10249.

    Treviño, M. (2016) Inhibition Controls Asynchronous States of Neuronal Networks. Frontiers in Synaptic Neuroscience, 8, 11.

    Tyzio, R., Represa, A., Jorquera, I., Ben-Ari, Y., Gozlan, H. & Aniksztejn, L. (1999) The Establishment of GABAergic and Glutamatergic Synapses on CA1 Pyramidal Neurons is Sequential and Correlates with the Development of the Apical Dendrite. The Journal of Neuroscience, 19, 10372-10382.

    Vaadia, E., Haalman, I., Abeles, M., Bergman, H., Prut, Y., Slovin, H. & Aertsen, A. (1995) Dynamics of neuronal interactions in monkey cortex in relation to behavioural events. Nature, 373, 515-518.

    van Aerde, K.I., Heistek, T.S. & Mansvelder, H.D. (2008) Prelimbic and Infralimbic Prefrontal Cortex Interact during Fast Network Oscillations. PLoS ONE, 3, e2725.

    Varela, F., Lachaux, J.-P., Rodriguez, E. & Martinerie, J. (2001) The brainweb: Phase synchronization and large-scale integration. Nat Rev Neurosci, 2, 229-239.

    Vicario-Abejón, C., Collin, C., McKay, R.D.G. & Segal, M. (1998) Neurotrophins Induce Formation of Functional Excitatory and Inhibitory Synapses between Cultured Hippocampal Neurons. The Journal of Neuroscience, 18, 7256-7271.

    Wang, L., Zhu, C., He, Y., Zang, Y., Cao, Q., Zhang, H., Zhong, Q. & Wang, Y. (2009) Altered small-world brain functional networks in children with attention-deficit/hyperactivity disorder. Human Brain Mapping, 30, 638-649.

    Wang, X.-J. (2010) Neurophysiological and Computational Principles of Cortical Rhythms in Cognition. Physiological Reviews, 90, 1195-1268.

    Yu, L.C., Chen, Y. & Zhang, P. (2007) Frequency and phase synchronization of two coupled neurons with channel noise. Eur Phys J B, 59, 249-257.

    Zanin, M., Del Pozo, F. & Boccaletti, S. (2011) Computation Emerges from Adaptive Synchronization of Networking Neurons. PLoS ONE, 6, e26467.

    Zhigulin, V.P., Rabinovich, M.I., Huerta, R. & Abarbanel, H.D.I. (2003) Robustness and enhancement of neural synchronization by activity-dependent coupling. Physical Review E, 67, 021901.

    Zhou, C. & Kurths, J. (2003) Noise-induced synchronization and coherence resonance of a Hodgkin–Huxley model of thermally sensitive neurons. Chaos, 13, 401-409.

    Zhou, C., Zemanová, L., Zamora, G., Hilgetag, C.C. & Kurths, J. (2006) Hierarchical Organization Unveiled by Functional Connectivity in Complex Brain Networks. Physical Review Letters, 97, 238103.

    Zhou, D., Thompson, W.K. & Siegle, G. (2009) MATLAB Toolbox for Functional Connectivity. NeuroImage, 47, 1590-1607.

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