메뉴 건너뛰기




Volumn 5, Issue 1, 1997, Pages 26-47

Spatial extension of brain activity fools the single-channel reconstruction of EEG dynamics

Author keywords

correlation dimension; coupled map lattices; EEG; multichannel reconstruction; nonlinear dynamics; single channel reconstruction; spatially extended systems; spatiotemporal chaos

Indexed keywords

ANALYTIC METHOD; ARTICLE; BRAIN MAPPING; COMPUTER SIMULATION; DIPOLE; DYNAMICS; ELECTROENCEPHALOGRAPHY; IMAGE RECONSTRUCTION; PRIORITY JOURNAL; SCALP; SKULL;

EID: 0030982952     PISSN: 10659471     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0193(1997)5:1<26::AID-HBM4>3.0.CO;2-P     Document Type: Article
Times cited : (34)

References (56)
  • 3
    • 0022530614 scopus 로고
    • Low-dimensional chaos in an instance of epilepsy
    • Babloyantz A, Destexhe A (1986): Low-dimensional chaos in an instance of epilepsy. Proc Natl Acad Sci USA 83:3513-3517.
    • (1986) Proc Natl Acad Sci USA , vol.83 , pp. 3513-3517
    • Babloyantz, A.1    Destexhe, A.2
  • 4
    • 5844318747 scopus 로고
    • Nonlinear analysis and modelling of cortical activity
    • Demongeot J, Capasso R (eds): Winnipeg: Wuerz Publishing
    • Babloyantz A, Destexhe A (1993): Nonlinear analysis and modelling of cortical activity In: Demongeot J, Capasso R (eds): Mathematics Applied to Biology and Medicine. Winnipeg: Wuerz Publishing, pp 35-48
    • (1993) Mathematics Applied to Biology and Medicine , pp. 35-48
    • Babloyantz, A.1    Destexhe, A.2
  • 5
    • 0000613222 scopus 로고
    • Characterization of spatiotemporal chaos from time series
    • Bauer M, Heng H, Martienssen W (1993): Characterization of spatiotemporal chaos from time series. Phys Rev Lett 74:521-524.
    • (1993) Phys Rev Lett , vol.74 , pp. 521-524
    • Bauer, M.1    Heng, H.2    Martienssen, W.3
  • 7
    • 0000675515 scopus 로고
    • On the analysis of spatio-temporally chaotic data
    • Chaté H (1995): On the analysis of spatio-temporally chaotic data. Physica D 86:238-247.
    • (1995) Physica D , vol.86 , pp. 238-247
    • Chaté, H.1
  • 8
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • Cross MC, Hohenberg PC (1993): Pattern formation outside of equilibrium. Rev Mod Physics 65:851-1112.
    • (1993) Rev Mod Physics , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2
  • 9
    • 0028314097 scopus 로고
    • Spatio-temporal chaos
    • Cross MC, Hohenberg PC (1994): Spatio-temporal chaos. Science 263:1569-1570.
    • (1994) Science , vol.263 , pp. 1569-1570
    • Cross, M.C.1    Hohenberg, P.C.2
  • 10
    • 0000585669 scopus 로고
    • The potential distribution in a layered anisotropic spheroidal volume conductor
    • De Munck JC (1988): The potential distribution in a layered anisotropic spheroidal volume conductor. J Appl Physiol 64:464-470.
    • (1988) J Appl Physiol , vol.64 , pp. 464-470
    • De Munck, J.C.1
  • 11
    • 44949291358 scopus 로고
    • Takens versus multichannel reconstruction in EEG correlation exponent estimates
    • Dvorak I (1990): Takens versus multichannel reconstruction in EEG correlation exponent estimates. Phys Lett 151:225-233.
    • (1990) Phys Lett , vol.151 , pp. 225-233
    • Dvorak, I.1
  • 12
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • Eckmann JP, Ruelle D (1985): Ergodic theory of chaos and strange attractors. Rev Mod Physics 57:617-656.
    • (1985) Rev Mod Physics , vol.57 , pp. 617-656
    • Eckmann, J.P.1    Ruelle, D.2
  • 13
    • 44049117207 scopus 로고
    • Fundamental limitations for estimating dimensions and lyapunov exponents in dynamical systems
    • Eckmann JP, Ruelle D (1992): Fundamental limitations for estimating dimensions and lyapunov exponents in dynamical systems. Physica D 56:185-187.
    • (1992) Physica D , vol.56 , pp. 185-187
    • Eckmann, J.P.1    Ruelle, D.2
  • 16
    • 40749093037 scopus 로고
    • Measuring the strangeness of strange attractors
    • Grassberger P, Procaccia I (1983). Measuring the strangeness of strange attractors. Physica D 9:189-208.
    • (1983) Physica D , vol.9 , pp. 189-208
    • Grassberger, P.1    Procaccia, I.2
  • 17
    • 0007857591 scopus 로고
    • Dimension measurements for geotrophic turbulence
    • Guckenheimer J, Buzyna G (1983): Dimension measurements for geotrophic turbulence. Phys Rev Lett 51:1438-1441.
    • (1983) Phys Rev Lett , vol.51 , pp. 1438-1441
    • Guckenheimer, J.1    Buzyna, G.2
  • 18
    • 0010668210 scopus 로고
    • "Is it?" and "So what?" - A critical view of EEG chaos
    • Duke DW, Pritchard WS (eds): Singapore: World Scientific
    • Jansen BH (1991): "Is it?" and "So what?" - A critical view of EEG chaos. In: Duke DW, Pritchard WS (eds): Measuring Chaos in the Human Brain. Singapore: World Scientific, pp 83-96.
    • (1991) Measuring Chaos in the Human Brain , pp. 83-96
    • Jansen, B.H.1
  • 20
    • 0000147667 scopus 로고
    • The ten twenty electrode system of the international federation
    • Jasper H (1958). The ten twenty electrode system of the international federation. Electroencephalogr Clin Neurophysiol 10:371-375.
    • (1958) Electroencephalogr Clin Neurophysiol , vol.10 , pp. 371-375
    • Jasper, H.1
  • 21
    • 45149135778 scopus 로고
    • Clustering, coding, switching, hierarchical ordering and control in network of chaotic elements
    • Kaneko K (1990): Clustering, coding, switching, hierarchical ordering and control in network of chaotic elements. Physica D 41:137-172.
    • (1990) Physica D , vol.41 , pp. 137-172
    • Kaneko, K.1
  • 22
    • 11944266815 scopus 로고
    • Direct test for determinism in a time series
    • Kaplan D, Glass L (1992): Direct test for determinism in a time series. Physical Rev Lett 68:427-430.
    • (1992) Physical Rev Lett , vol.68 , pp. 427-430
    • Kaplan, D.1    Glass, L.2
  • 24
    • 84956258433 scopus 로고
    • Optimal embeddings of chaotic attractors from topological considerations
    • Liebert W, Pawelzik K, Schuster HG (1991): Optimal embeddings of chaotic attractors from topological considerations. Europhys Lett 14:521.
    • (1991) Europhys Lett , vol.14 , pp. 521
    • Liebert, W.1    Pawelzik, K.2    Schuster, H.G.3
  • 25
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz EN (1963): Deterministic nonperiodic flow. J Atmospheric Sci 20:130-141.
    • (1963) J Atmospheric Sci , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 26
    • 0026311728 scopus 로고
    • Dimension of weather and climate attractors
    • Lorenz EN (1991): Dimension of weather and climate attractors. Nature 353:241-244.
    • (1991) Nature , vol.353 , pp. 241-244
    • Lorenz, E.N.1
  • 27
    • 0002204536 scopus 로고
    • Collective behaviors in spatially extended systems with local interactions and synchronous updating
    • Manneville P, Chaté H (1992): Collective behaviors in spatially extended systems with local interactions and synchronous updating. Prog Theor Physics 87:1-60.
    • (1992) Prog Theor Physics , vol.87 , pp. 1-60
    • Manneville, P.1    Chaté, H.2
  • 34
    • 36149036421 scopus 로고
    • Predictability in spatially extended systems
    • Paladin G, Vulpiani A (1994): Predictability in spatially extended systems. J Phys A Math Gen 27:4911-4917.
    • (1994) J Phys A Math Gen , vol.27 , pp. 4911-4917
    • Paladin, G.1    Vulpiani, A.2
  • 39
    • 0042163879 scopus 로고
    • Fractal dimensions in coupled map lattices
    • Abraham NB, Albano AM, Passamante A and Rapp PE (eds). New York and London. Plenum Press
    • Politi A, D'Alessandro G, Torcini A (1989): Fractal dimensions in coupled map lattices. In: Abraham NB, Albano AM, Passamante A and Rapp PE (eds). Measures of Complexity and Chaos. New York and London. Plenum Press, 409-424.
    • (1989) Measures of Complexity and Chaos , pp. 409-424
    • Politi, A.1    D'Alessandro, G.2    Torcini, A.3
  • 40
    • 0001091737 scopus 로고
    • Generating surrogate data for time series with several simultaneous measured variables
    • Prichard D, Theiler J (1994): Generating surrogate data for time series with several simultaneous measured variables. Physics Rev Lett 73:951-954.
    • (1994) Physics Rev Lett , vol.73 , pp. 951-954
    • Prichard, D.1    Theiler, J.2
  • 41
    • 0026773373 scopus 로고
    • Dimensional analysis of no-task human EEG using the Grassberger-Procaccia method
    • Pritchard WS, Duke DW (1992): Dimensional analysis of no-task human EEG using the Grassberger-Procaccia method. Psychophysiology 29:182-192.
    • (1992) Psychophysiology , vol.29 , pp. 182-192
    • Pritchard, W.S.1    Duke, D.W.2
  • 42
    • 0029111414 scopus 로고
    • Dimensional analysis of resting human EEG II. Surrogate-data testing indicates nonlinearity but not low-dimensional chaos
    • Pritchard WS, Duke D (1995): Dimensional analysis of resting human EEG II. Surrogate-data testing indicates nonlinearity but not low-dimensional chaos. Psychophysiology 32:486-491.
    • (1995) Psychophysiology , vol.32 , pp. 486-491
    • Pritchard, W.S.1    Duke, D.2
  • 43
    • 0001416177 scopus 로고
    • Dynamics of spontaneous neural activity in the simian motor cortex: The dimension of chaotic neurons
    • Rapp PE, Zimmerman ID, Albano AM, de Guzman GC, Greenbaum NN (1985): Dynamics of spontaneous neural activity in the simian motor cortex: The dimension of chaotic neurons. Phys Letter A 110:335-338.
    • (1985) Phys Letter A , vol.110 , pp. 335-338
    • Rapp, P.E.1    Zimmerman, I.D.2    Albano, A.M.3    De Guzman, G.C.4    Greenbaum, N.N.5
  • 45
    • 0000785387 scopus 로고
    • Filtered noise can mimic low dimensional chaotic attractors
    • Rapp PE, Albano AM, Schmah TI, Farwell LA (1993): Filtered noise can mimic low dimensional chaotic attractors. Phys Rev E 47:2289-2297.
    • (1993) Phys Rev E , vol.47 , pp. 2289-2297
    • Rapp, P.E.1    Albano, A.M.2    Schmah, T.I.3    Farwell, L.A.4
  • 46
    • 0002516341 scopus 로고
    • Phase-randomized surrogates can produce spurious identifications of non-random structure
    • Rapp PE, Albano AM, Zimmerman ID, Jiménez-Montano MA (1994): Phase-randomized surrogates can produce spurious identifications of non-random structure. Phys Letter A 192:27-33.
    • (1994) Phys Letter A , vol.192 , pp. 27-33
    • Rapp, P.E.1    Albano, A.M.2    Zimmerman, I.D.3    Jiménez-Montano, M.A.4
  • 47
    • 8244233892 scopus 로고
    • L'imagerie électromagnétique cérébrale, principe de base et perspectives
    • Paris: Lavoisier
    • Renault B, Garnero L (1995): L'imagerie électromagnétique cérébrale, principe de base et perspectives. In: Instrumentation Physique en Biologie et en Médecine. Paris: Lavoisier, pp 131-139.
    • (1995) Instrumentation Physique en Biologie et en Médecine , pp. 131-139
    • Renault, B.1    Garnero, L.2
  • 48
    • 26544461279 scopus 로고
    • Reconstruction expansion as a geometry-based framework for choosing proper delay times
    • Rosenstein MT, Collins JJ, De Luca CJ (1994): Reconstruction expansion as a geometry-based framework for choosing proper delay times. Physica D 73:82-98.
    • (1994) Physica D , vol.73 , pp. 82-98
    • Rosenstein, M.T.1    Collins, J.J.2    De Luca, C.J.3
  • 51
    • 0000779360 scopus 로고
    • Detecting strange attractors in fluid turbulence
    • Takens F (1981): Detecting strange attractors in fluid turbulence. Springer Lect Notes Math 898:366-381.
    • (1981) Springer Lect Notes Math , vol.898 , pp. 366-381
    • Takens, F.1
  • 52
    • 0001413326 scopus 로고
    • Spurious dimension from correlation algorithms applied to limited time-series data
    • Theiler J (1986): Spurious dimension from correlation algorithms applied to limited time-series data. Phys Rev A 34:2427-2432.
    • (1986) Phys Rev A , vol.34 , pp. 2427-2432
    • Theiler, J.1
  • 53
    • 0029925526 scopus 로고    scopus 로고
    • Re-examination of the evidence for low-dimensional, nonlinear structure in the human electroencephalogram
    • Theiler J, Rapp PE (1996): Re-examination of the evidence for low-dimensional, nonlinear structure in the human electroencephalogram. Electroencephalogr Clin Neurophysiol 98:213-222.
    • (1996) Electroencephalogr Clin Neurophysiol , vol.98 , pp. 213-222
    • Theiler, J.1    Rapp, P.E.2
  • 54
  • 55
    • 0027499631 scopus 로고
    • Global dimensional complexity of multi-channel EEG indicates change of human brain functional state after a single dose of a nootropic drug
    • Wackermann J, Lehmann D, Dvorak I, Michel CM (1993): Global dimensional complexity of multi-channel EEG indicates change of human brain functional state after a single dose of a nootropic drug. Electroencephalogr Clin Neurophysiol 86:193-198.
    • (1993) Electroencephalogr Clin Neurophysiol , vol.86 , pp. 193-198
    • Wackermann, J.1    Lehmann, D.2    Dvorak, I.3    Michel, C.M.4
  • 56
    • 0001295575 scopus 로고
    • Differentiable manifolds
    • Whitney H (1936): Differentiable manifolds. Ann Math 37:645-680
    • (1936) Ann Math , vol.37 , pp. 645-680
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.