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Volumn 10, Issue 11, 2014, Pages

Power Laws from Linear Neuronal Cable Theory: Power Spectral Densities of the Soma Potential, Soma Membrane Current and Single-Neuron Contribution to the EEG

Author keywords

[No Author keywords available]

Indexed keywords

CABLES; COMPLEX NETWORKS; DIPOLE MOMENT; ELECTROPHYSIOLOGY; MEMBRANES; POWER SPECTRAL DENSITY; TRANSFER FUNCTIONS;

EID: 84912058829     PISSN: 1553734X     EISSN: 15537358     Source Type: Journal    
DOI: 10.1371/journal.pcbi.1003928     Document Type: Article
Times cited : (38)

References (58)
  • 1
    • 84856991721 scopus 로고    scopus 로고
    • Critical thruths about power laws
    • Stumpf MPH, Porter MA, (2012) Critical thruths about power laws. Science 335: 665–666.
    • (2012) Science , vol.335 , pp. 665-666
    • Stumpf, M.P.H.1    Porter, M.A.2
  • 2
    • 0004263139 scopus 로고
    • The Fractal Geometry of Nature. New York: W
    • Mandelbrot BB (1977) The Fractal Geometry of Nature. New York: W. H. Freeman and Co. 468 p.
    • (1977) H. Freeman and Co , pp. 468
    • Mandelbrot, B.B.1
  • 3
    • 5844290410 scopus 로고
    • Self-organized criticality: An explanation of the 1/f noise
    • Bak P, Tang C, Wiesenfeld K, (1987) Self-organized criticality: An explanation of the 1/f noise. Phys Rev Lett 59: 381–384.
    • (1987) Phys Rev Lett , vol.59 , pp. 381-384
    • Bak, P.1    Tang, C.2    Wiesenfeld, K.3
  • 4
    • 84912120483 scopus 로고    scopus 로고
    • Sporns O (2011) Networks of the brain (Ch.12). Cambridge, MA:MIT Press.
    • (2011)
    • Sporns, O.1
  • 5
    • 0348010295 scopus 로고    scopus 로고
    • Neuronal avalanches in neocortical circuits
    • Beggs J, Plenz D, (2003) Neuronal avalanches in neocortical circuits. Journal of Neuroscience 14: 11167–11177.
    • (2003) Journal of Neuroscience , vol.14 , pp. 11167-11177
    • Beggs, J.1    Plenz, D.2
  • 6
    • 84866347370 scopus 로고    scopus 로고
    • Being critical of criticality in the brains
    • Beggs J, Plenz D, (2012) Being critical of criticality in the brains. Frontiers in Physiology 3: 163.
    • (2012) Frontiers in Physiology , vol.3 , pp. 163
    • Beggs, J.1    Plenz, D.2
  • 8
    • 84873640524 scopus 로고    scopus 로고
    • Early development of spatial patterns of power-law frequency scaling in fmri resting-state and eeg data in the newborn brain
    • Fransson P, Metsäranta M, Blennow M, den U, Lagercrant H, et al. (2013) Early development of spatial patterns of power-law frequency scaling in fmri resting-state and eeg data in the newborn brain. Cerebral Cortex 23: 638–646.
    • (2013) Cerebral Cortex , vol.23 , pp. 638-646
    • Fransson, P.1    Metsäranta, M.2    Blennow, M.3    den, U.4    Lagercrant, H.5
  • 10
    • 67349203259 scopus 로고    scopus 로고
    • Deep analysis of perception through dynamic structures that emerge in cortical activity from self-regulated noise
    • Freeman WJ, (2009) Deep analysis of perception through dynamic structures that emerge in cortical activity from self-regulated noise. Cogn Neurodyn 3: 105–116.
    • (2009) Cogn Neurodyn , vol.3 , pp. 105-116
    • Freeman, W.J.1
  • 12
  • 13
    • 33748709636 scopus 로고    scopus 로고
    • Does the 1/f frequency scaling of brain signals reflect self-organized critical states?
    • Bédard C, Kröger H, Destexhe A, (2006) Does the 1/f frequency scaling of brain signals reflect self-organized critical states? Phys Rev Lett 97: 118102.
    • (2006) Phys Rev Lett , vol.97 , pp. 118102
    • Bédard, C.1    Kröger, H.2    Destexhe, A.3
  • 14
    • 84929238274 scopus 로고    scopus 로고
    • Neuronal shot noise and brownian 1/f2 behavior in the local field potential
    • Milstein J, Mormann F, Fried I, Koch C, (2009) Neuronal shot noise and brownian 1/f2 behavior in the local field potential. PLoS One 4: e4338.
    • (2009) PLoS One , vol.4 , pp. e4338
    • Milstein, J.1    Mormann, F.2    Fried, I.3    Koch, C.4
  • 16
    • 84855855120 scopus 로고    scopus 로고
    • 2 scaling in the power spectrum of intracortical local field potentialcritical thruths about power laws
    • Baranauskas G, Maggiolini E, Vato A, Angotzi G, Bonfanti A, et al. (2012) Origins of 1/f2 scaling in the power spectrum of intracortical local field potentialcritical thruths about power laws. Journal of Neurophysiology 107: 984–994.
    • (2012) Journal of Neurophysiology , vol.107 , pp. 984-994
    • Baranauskas, G.1    Maggiolini, E.2    Vato, A.3    Angotzi, G.4    Bonfanti, A.5
  • 17
    • 7444221705 scopus 로고    scopus 로고
    • Intrinsic noise in cultured hippocampal neurons: experiment and modeling
    • Diba K, Lester HA, Koch C, (2004) Intrinsic noise in cultured hippocampal neurons: experiment and modeling. J Neurosci 24: 9723–9733.
    • (2004) J Neurosci , vol.24 , pp. 9723-9733
    • Diba, K.1    Lester, H.A.2    Koch, C.3
  • 18
    • 24944473826 scopus 로고    scopus 로고
    • Characterization of synaptic conductances and integrative properties during electrically induced eeg-activated states in neocortical neurons in vivo
    • Rudolph M, Pelletier JG, Paré D, Destexhe A, (2005) Characterization of synaptic conductances and integrative properties during electrically induced eeg-activated states in neocortical neurons in vivo. J Neurophysiol 94: 2805–2821.
    • (2005) J Neurophysiol , vol.94 , pp. 2805-2821
    • Rudolph, M.1    Pelletier, J.G.2    Paré, D.3    Destexhe, A.4
  • 19
    • 17444425366 scopus 로고    scopus 로고
    • Subthreshold voltage noise of rat neocortical pyramidal neurones
    • Jacobson GA, Diba K, Yaron-Jakoubovitch A, Oz Y, Koch C, et al. (2005) Subthreshold voltage noise of rat neocortical pyramidal neurones. J Physiol 564: 145–160.
    • (2005) J Physiol , vol.564 , pp. 145-160
    • Jacobson, G.A.1    Diba, K.2    Yaron-Jakoubovitch, A.3    Oz, Y.4    Koch, C.5
  • 20
    • 78651273702 scopus 로고    scopus 로고
    • A paradoxical isopotentiality: a spatially uniform noise spectrum in neocortical pyramidal cells
    • Yaron-Jakoubovitch A, Jacobson GA, Koch C, Segev I, Yarom Y, (2008) A paradoxical isopotentiality: a spatially uniform noise spectrum in neocortical pyramidal cells. Front Cell Neurosci 2: 3.
    • (2008) Front Cell Neurosci , vol.2 , pp. 3
    • Yaron-Jakoubovitch, A.1    Jacobson, G.A.2    Koch, C.3    Segev, I.4    Yarom, Y.5
  • 21
    • 38949150834 scopus 로고    scopus 로고
    • A modified cable formalism for modeling neuronal membranes at high frequencies
    • Bédard C, Destexhe A, (2008) A modified cable formalism for modeling neuronal membranes at high frequencies. Biophys J 94: 1133–1143.
    • (2008) Biophys J , vol.94 , pp. 1133-1143
    • Bédard, C.1    Destexhe, A.2
  • 23
    • 38549121226 scopus 로고    scopus 로고
    • Amplitude variability and extracellular low-pass filtering of neuronal spikes
    • Pettersen KH, Einevoll GT, (2008) Amplitude variability and extracellular low-pass filtering of neuronal spikes. Biophys J 94: 784–802.
    • (2008) Biophys J , vol.94 , pp. 784-802
    • Pettersen, K.H.1    Einevoll, G.T.2
  • 24
    • 78651338035 scopus 로고    scopus 로고
    • Intrinsic dendritic filtering gives low-pass power spectra of local field potentials
    • Lindén H, Pettersen KH, Einevoll GT, (2010) Intrinsic dendritic filtering gives low-pass power spectra of local field potentials. J Comput Neurosci 29: 423–444.
    • (2010) J Comput Neurosci , vol.29 , pp. 423-444
    • Lindén, H.1    Pettersen, K.H.2    Einevoll, G.T.3
  • 25
    • 26244462082 scopus 로고
    • Magnetoencephalography-theory, instrumentation, and application to noninvasive studies of the working human brain
    • Hämäläinen M, Haari R, Ilmoniemi RJ, Knuutila J, Lounasmaa OV, (1993) Magnetoencephalography-theory, instrumentation, and application to noninvasive studies of the working human brain. Reviews of Modern Physics 65: 413–496.
    • (1993) Reviews of Modern Physics , vol.65 , pp. 413-496
    • Hämäläinen, M.1    Haari, R.2    Ilmoniemi, R.J.3    Knuutila, J.4    Lounasmaa, O.V.5
  • 26
    • 0014021047 scopus 로고
    • Fluctuations of resting neural membrane potential
    • Derksen HE, Verveen AA, (1966) Fluctuations of resting neural membrane potential. Science 151: 1388–1389.
    • (1966) Science , vol.151 , pp. 1388-1389
    • Derksen, H.E.1    Verveen, A.A.2
  • 27
    • 0000208310 scopus 로고
    • Branching dendritic trees and motoneuron membrane resistivity
    • Rall W, (1959) Branching dendritic trees and motoneuron membrane resistivity. Experimental Neurology 1: 491–527.
    • (1959) Experimental Neurology , vol.1 , pp. 491-527
    • Rall, W.1
  • 28
    • 84912120482 scopus 로고
    • Segev I, Rinzel J, Shepherd GM, editors (1994) Theoretical Foundations of Dendritic Function: The Collected Papers of Wilfrid Rall with Commentaries. MIT Press.
    • (1994)
    • Segev, I.1    Rinzel, J.2    Shepherd, G.M.3
  • 29
    • 0020988669 scopus 로고
    • Random currents through nerve membranes. i. uniform poisson or white noise current in one-dimensional cables
    • Tuckwell HC, Walsh JB, (1983) Random currents through nerve membranes. i. uniform poisson or white noise current in one-dimensional cables. Biological Cybernetics 49: 99–110.
    • (1983) Biological Cybernetics , vol.49 , pp. 99-110
    • Tuckwell, H.C.1    Walsh, J.B.2
  • 31
    • 0003922913 scopus 로고    scopus 로고
    • Biophysics of Computation, Information Processing in Single Neurons
    • Koch C (1999) Biophysics of Computation, Information Processing in Single Neurons. Oxford University Press.
    • (1999)
    • Koch, C.1
  • 32
    • 0002828843 scopus 로고
    • Small-shot effect and flicker effect
    • Schottky W, (1926) Small-shot effect and flicker effect. Phys Rev 1: 74.
    • (1926) Phys Rev , vol.1 , pp. 74
    • Schottky, W.1
  • 33
    • 84912142139 scopus 로고    scopus 로고
    • Milotti E (2002) 1/f noise: a pedagogical review. arXiv (arxivorg/abs/physics/0204033) –: –.
  • 34
    • 0029741078 scopus 로고    scopus 로고
    • Influence of dendritic structure on firing pattern in model neocortical neurons
    • Mainen ZF, Sejnowski TJ, (1996) Influence of dendritic structure on firing pattern in model neocortical neurons. Nature 382: 363–366.
    • (1996) Nature , vol.382 , pp. 363-366
    • Mainen, Z.F.1    Sejnowski, T.J.2
  • 38
    • 0003904525 scopus 로고    scopus 로고
    • Electric fields of the brain. Oxford University Press, Inc., 2nd edition
    • Nunez PL, Srinivasan R (2006) Electric fields of the brain. Oxford University Press, Inc., 2nd edition. 640 p.
    • (2006)
    • Nunez, P.L.1    Srinivasan, R.2
  • 40
    • 33748150529 scopus 로고    scopus 로고
    • Background synaptic activity is sparse in neocortex
    • Waters J, Helmchen F, (2006) Background synaptic activity is sparse in neocortex. Journal of Neuroscience 26: 8267–8277.
    • (2006) Journal of Neuroscience , vol.26 , pp. 8267-8277
    • Waters, J.1    Helmchen, F.2
  • 42
    • 16244406224 scopus 로고    scopus 로고
    • Homogeneous distribution of large-conductance calcium-dependent potassium channels on soma and apical dendrite of rat neocortical layer 5 pyramidal neurons
    • Benhassine N, Berger T, (2005) Homogeneous distribution of large-conductance calcium-dependent potassium channels on soma and apical dendrite of rat neocortical layer 5 pyramidal neurons. Eur J Neurosci 21: 914–926.
    • (2005) Eur J Neurosci , vol.21 , pp. 914-926
    • Benhassine, N.1    Berger, T.2
  • 43
    • 0141499222 scopus 로고    scopus 로고
    • The high-conductance state of neocortical neurons in vivo
    • Destexhe A, Rudolph M, Paré D, (2003) The high-conductance state of neocortical neurons in vivo. Nat Rev Neurosci 4: 739–751.
    • (2003) Nat Rev Neurosci , vol.4 , pp. 739-751
    • Destexhe, A.1    Rudolph, M.2    Paré, D.3
  • 44
    • 0015010397 scopus 로고
    • Membrane current noise in lobster axon under voltage clamp
    • Poussart DJ, (1971) Membrane current noise in lobster axon under voltage clamp. Biophys J 11: 211–234.
    • (1971) Biophys J , vol.11 , pp. 211-234
    • Poussart, D.J.1
  • 45
    • 0015591774 scopus 로고
    • Relaxation spectra of potassium channel noise from squid axon membranes
    • Fishman HM, (1973) Relaxation spectra of potassium channel noise from squid axon membranes. Proc Natl Acad Sci U S A 70: 876–879.
    • (1973) Proc Natl Acad Sci U S A , vol.70 , pp. 876-879
    • Fishman, H.M.1
  • 46
    • 85088491466 scopus 로고    scopus 로고
    • α noise in membrane channel currents
    • Siwy Z, Fuliński A, (2002) Origin of 1/fα noise in membrane channel currents. Physical Review Letters 89: 158101.
    • (2002) Physical Review Letters , vol.89 , pp. 158101
    • Siwy, Z.1    Fuliński, A.2
  • 47
    • 0029973695 scopus 로고    scopus 로고
    • Development of bk channels in neocortical pyramidal neurons
    • Kang J, Huguenard JR, Prince DA, (1996) Development of bk channels in neocortical pyramidal neurons. J Neurophysiol 76: 188–198.
    • (1996) J Neurophysiol , vol.76 , pp. 188-198
    • Kang, J.1    Huguenard, J.R.2    Prince, D.A.3
  • 48
    • 70349667213 scopus 로고    scopus 로고
    • Network-state modulation of power-law frequency-scaling in visual cortical neurons
    • Boustani SE, Marre O, Béhuret S, Baudot P, Yger P, et al. (2009) Network-state modulation of power-law frequency-scaling in visual cortical neurons. PLoS Comput Biol 5: e1000519.
    • (2009) PLoS Comput Biol , vol.5 , pp. e1000519
    • Boustani, S.E.1    Marre, O.2    Béhuret, S.3    Baudot, P.4    Yger, P.5
  • 49
    • 84866137856 scopus 로고    scopus 로고
    • Decorrelation of neural-network activity by inhibitory feedback
    • Tetzlaff T, Helias M, Einevoll GT, Diesmann M, (2012) Decorrelation of neural-network activity by inhibitory feedback. PLoS Comput Biol 8: e1002596.
    • (2012) PLoS Comput Biol , vol.8 , pp. e1002596
    • Tetzlaff, T.1    Helias, M.2    Einevoll, G.T.3    Diesmann, M.4
  • 50
    • 77952712225 scopus 로고    scopus 로고
    • The temporal structures and functional significance of scale-free brain activity
    • He BJ, Zempel JM, Snyder AZ, Raichle ME, (2010) The temporal structures and functional significance of scale-free brain activity. Neuron 66: 353–369.
    • (2010) Neuron , vol.66 , pp. 353-369
    • He, B.J.1    Zempel, J.M.2    Snyder, A.Z.3    Raichle, M.E.4
  • 51
    • 84912076553 scopus 로고    scopus 로고
    • Local field potential: biophysical origin and analysis. In:QuirogaRQPanzeriSeditorsPrinciples of Neural CodingCRC Press. pp
    • Einevoll G, Lindén H, Tetzlaff T, Leski S, Pettersen K (2013) Local field potential: biophysical origin and analysis. In:QuirogaRQPanzeriSeditorsPrinciples of Neural CodingCRC Press. pp. 37–59.
    • (2013)
    • Einevoll, G.1    Lindén, H.2    Tetzlaff, T.3    Leski, S.4    Pettersen, K.5
  • 52
    • 0141463359 scopus 로고
    • Theoretical stability properties of a space-clamped axon
    • Chandler WK, Fitzhugh R, Cole KS, (1962) Theoretical stability properties of a space-clamped axon. Biophys J 2: 105–127.
    • (1962) Biophys J , vol.2 , pp. 105-127
    • Chandler, W.K.1    Fitzhugh, R.2    Cole, K.S.3
  • 53
    • 0021322755 scopus 로고
    • Cable theory in neurons with active, linearized membranes
    • Koch C, (1984) Cable theory in neurons with active, linearized membranes. Biol Cybern 50: 15–33.
    • (1984) Biol Cybern , vol.50 , pp. 15-33
    • Koch, C.1
  • 54
    • 78650244424 scopus 로고    scopus 로고
    • Cortical up state activity is enhanced after seizures: a quantitative analysis
    • Gerkin RC, Clem RL, Shruti S, Kass RE, Barth AL, (2010) Cortical up state activity is enhanced after seizures: a quantitative analysis. J Clin Neurophysiol 27: 425–432.
    • (2010) J Clin Neurophysiol , vol.27 , pp. 425-432
    • Gerkin, R.C.1    Clem, R.L.2    Shruti, S.3    Kass, R.E.4    Barth, A.L.5
  • 55
    • 22844445484 scopus 로고    scopus 로고
    • Calcium-sensitive potassium channelopathy in human epilepsy and paroxysmal movement disorder
    • Du W, Bautista JF, Yang H, Diez-Sampedro A, You SA, et al. (2005) Calcium-sensitive potassium channelopathy in human epilepsy and paroxysmal movement disorder. Nat Genet 37: 733–738.
    • (2005) Nat Genet , vol.37 , pp. 733-738
    • Du, W.1    Bautista, J.F.2    Yang, H.3    Diez-Sampedro, A.4    You, S.A.5
  • 56
    • 33646098928 scopus 로고    scopus 로고
    • Possible role of potassium channel, big K in etiology of schizophrenia
    • Zhang L, Li X, Zhou R, Xing G, (2006) Possible role of potassium channel, big K in etiology of schizophrenia. Med Hypotheses 67: 41–43.
    • (2006) Med Hypotheses , vol.67 , pp. 41-43
    • Zhang, L.1    Li, X.2    Zhou, R.3    Xing, G.4
  • 57
    • 33749059396 scopus 로고    scopus 로고
    • Association of a functional deficit of the BKCa channel, a synaptic regulator of neuronal excitability, with autism and mental retardation
    • Laumonnier F, Roger S, Guérin P, Molinari F, M′rad R, et al. (2006) Association of a functional deficit of the BKCa channel, a synaptic regulator of neuronal excitability, with autism and mental retardation. Am J Psychiatry 163: 1622–1629.
    • (2006) Am J Psychiatry , vol.163 , pp. 1622-1629
    • Laumonnier, F.1    Roger, S.2    Guérin, P.3    Molinari, F.4    M′rad, R.5
  • 58
    • 77956012236 scopus 로고    scopus 로고
    • BK channel activation: structural and functional insights
    • Lee US, Cui J, (2010) BK channel activation: structural and functional insights. Trends Neurosci 33: 415–423.
    • (2010) Trends Neurosci , vol.33 , pp. 415-423
    • Lee, U.S.1    Cui, J.2


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