Skip to main content
Top
Published in: Brain Topography 2/2019

01-03-2019 | Electroencephalography | Review

Multi-Scale Neural Sources of EEG: Genuine, Equivalent, and Representative. A Tutorial Review

Authors: Paul L. Nunez, Michael D. Nunez, Ramesh Srinivasan

Published in: Brain Topography | Issue 2/2019

Login to get access

Abstract

A biophysical framework needed to interpret electrophysiological data recorded at multiple spatial scales of brain tissue is developed. Micro current sources at membrane surfaces produce local field potentials, electrocorticography, and electroencephalography (EEG). We categorize multi-scale sources as genuine, equivalent, or representative. Genuine sources occur at the micro scale of cell surfaces. Equivalent sources provide identical experimental outcomes over a range of scales and applications. In contrast, each representative source distribution is just one of many possible source distributions that yield similar experimental outcomes. Macro sources (“dipoles”) may be defined at the macrocolumn (mm) scale and depend on several features of the micro sources—magnitudes, micro synchrony within columns, and distribution through the cortical depths. These micro source properties are determined by brain dynamics and the columnar structure of cortical tissue. The number of representative sources underlying EEG data depends on the spatial scale of neural tissue under study. EEG inverse solutions (e.g. dipole localization) and high resolution estimates (e.g. Laplacian, dura imaging) have both strengths and limitations that depend on experimental conditions. The proposed theoretical framework informs studies of EEG source localization, source characterization, and low pass filtering. It also facilitates interpretations of brain dynamics and cognition, including measures of synchrony, functional connections between cortical locations, and other aspects of brain complexity.
Literature
go back to reference Akhtari M, Bryant HC, Mamelak AN, Heller L, Shih JJ, Mandelkern M, Matlachov A, Ranken DM, Best ED, Sutherling WW (2000) Conductivities of three-layer human skull. Brain Topogr 13:29–42CrossRefPubMed Akhtari M, Bryant HC, Mamelak AN, Heller L, Shih JJ, Mandelkern M, Matlachov A, Ranken DM, Best ED, Sutherling WW (2000) Conductivities of three-layer human skull. Brain Topogr 13:29–42CrossRefPubMed
go back to reference Andrew C (2000) Sensorimotor EEG rhythms and their connection to local/global neocortical dynamic theory. Behav Brain Sci 23:399–400CrossRef Andrew C (2000) Sensorimotor EEG rhythms and their connection to local/global neocortical dynamic theory. Behav Brain Sci 23:399–400CrossRef
go back to reference Andrew C, Pfurtscheller G (1997) On the existence of different alpha band rhythms in the hand area of man. Neurosci Lett 222:103–106CrossRefPubMed Andrew C, Pfurtscheller G (1997) On the existence of different alpha band rhythms in the hand area of man. Neurosci Lett 222:103–106CrossRefPubMed
go back to reference Babiloni C (2018) International Federation of Clinical Neurophysiology (IFCN) guidelines for topographic and frequency analysis of resting state electroencephalographic rhythms. Clin Neurophysiol 129:e208CrossRef Babiloni C (2018) International Federation of Clinical Neurophysiology (IFCN) guidelines for topographic and frequency analysis of resting state electroencephalographic rhythms. Clin Neurophysiol 129:e208CrossRef
go back to reference Babiloni F, Babiloni C, Carducci F, Fattorini L, Onaratti P, Urbano A (1996) Spline Laplacian estimate of EEG potentials over a realistic magnetic resonance-constructed scalp surface model. Electroencephal Clin Neurophysiol 98:204–215CrossRef Babiloni F, Babiloni C, Carducci F, Fattorini L, Onaratti P, Urbano A (1996) Spline Laplacian estimate of EEG potentials over a realistic magnetic resonance-constructed scalp surface model. Electroencephal Clin Neurophysiol 98:204–215CrossRef
go back to reference Cadusch PJ, Breckon W, Silberstein RB (1992) Spherical splines and the interpolation, deblurring, and transformation of topographic EEG data. Brain Topogr 5:59CrossRef Cadusch PJ, Breckon W, Silberstein RB (1992) Spherical splines and the interpolation, deblurring, and transformation of topographic EEG data. Brain Topogr 5:59CrossRef
go back to reference Canolty RT, Knight RT (2010) The functional role of cross-frequency coupling. Trends Cog Sci 14:506–515CrossRef Canolty RT, Knight RT (2010) The functional role of cross-frequency coupling. Trends Cog Sci 14:506–515CrossRef
go back to reference Canolty RT, Ganguly K, Kennerley SW, Cadieu CF, Koepsell K, Wallis JD, Carmena JM (2010) Oscillatory phase coupling coordinates anatomically dispersed functional cell assemblies. Proc Natl Acad Sci USA 107:17356–17361CrossRefPubMed Canolty RT, Ganguly K, Kennerley SW, Cadieu CF, Koepsell K, Wallis JD, Carmena JM (2010) Oscillatory phase coupling coordinates anatomically dispersed functional cell assemblies. Proc Natl Acad Sci USA 107:17356–17361CrossRefPubMed
go back to reference Ciulla C, Takeda T, Endo H (1999) MEG Characterization of spontaneous alpha rhythm in the human brain. Brain Top 11:211–222CrossRef Ciulla C, Takeda T, Endo H (1999) MEG Characterization of spontaneous alpha rhythm in the human brain. Brain Top 11:211–222CrossRef
go back to reference Cohen D, Cuffin BN, Yunokuchi K, Maniewski R, Purcell C, Cosgrove GR, Ives J, Kennedy JG, Schomer DL (1990) MEG versus EEG localization test using implanted sources in the human brain. Ann Neurol 28:811–817CrossRefPubMed Cohen D, Cuffin BN, Yunokuchi K, Maniewski R, Purcell C, Cosgrove GR, Ives J, Kennedy JG, Schomer DL (1990) MEG versus EEG localization test using implanted sources in the human brain. Ann Neurol 28:811–817CrossRefPubMed
go back to reference Cole K (1968) Membranes, ions and impulses. University of California Press, Berkeley Cole K (1968) Membranes, ions and impulses. University of California Press, Berkeley
go back to reference Cooper R, Winter AL, Crow HJ, Walter WG (1965) Comparison of subcortical, cortical, and scalp activity using chronically indwelling electrodes in man. Electroencephal Clin Neurophysiol 18:217–228CrossRef Cooper R, Winter AL, Crow HJ, Walter WG (1965) Comparison of subcortical, cortical, and scalp activity using chronically indwelling electrodes in man. Electroencephal Clin Neurophysiol 18:217–228CrossRef
go back to reference Cuffin BN, Cohen D, Yunokuchi K, Maniewski R, Purcell C, Cosgrove GR, Ives J, Kennedy J, Schomer D (1991) Tests of EEG localization accuracy using implanted sources in the human brain. Ann Neurol 29:32–38CrossRef Cuffin BN, Cohen D, Yunokuchi K, Maniewski R, Purcell C, Cosgrove GR, Ives J, Kennedy J, Schomer D (1991) Tests of EEG localization accuracy using implanted sources in the human brain. Ann Neurol 29:32–38CrossRef
go back to reference Dale AM, Sereno MI (1993) Improved localization of cortical activity by combining EEG and MEG with MRI cortical surface reconstruction: a linear approach. J Cog Neurosci 5:162–176CrossRef Dale AM, Sereno MI (1993) Improved localization of cortical activity by combining EEG and MEG with MRI cortical surface reconstruction: a linear approach. J Cog Neurosci 5:162–176CrossRef
go back to reference Davis L Jr, de No L R (1947) Contribution to the mathematical theory of the electrotonus. In: A study of nerve physiology. Rockefeller Institute for Medical Research 131, New York, pp. 442–496 Davis L Jr, de No L R (1947) Contribution to the mathematical theory of the electrotonus. In: A study of nerve physiology. Rockefeller Institute for Medical Research 131, New York, pp. 442–496
go back to reference Delucchi MR, Garoutte B, Aird RB (1962) The scalp as an electroencephalographic averager. Electroencephal Clin Neurophysiol 14:191–196CrossRef Delucchi MR, Garoutte B, Aird RB (1962) The scalp as an electroencephalographic averager. Electroencephal Clin Neurophysiol 14:191–196CrossRef
go back to reference Deng S, Winter W, Thorpe S, Srinivasan R (2012) Improved surface Laplacian estimates of cortical potential using realistic models of head geometry. IEEE Trans Biomed Eng 59:2979–2985CrossRefPubMed Deng S, Winter W, Thorpe S, Srinivasan R (2012) Improved surface Laplacian estimates of cortical potential using realistic models of head geometry. IEEE Trans Biomed Eng 59:2979–2985CrossRefPubMed
go back to reference Driscoll DA (1970) An investigation of a theoretical model of the human head with application to current flow calculations and EEG interpretation. Ph.D. Dissertation, University of Vermont Driscoll DA (1970) An investigation of a theoretical model of the human head with application to current flow calculations and EEG interpretation. Ph.D. Dissertation, University of Vermont
go back to reference Ebersole JS (1997) Defining epileptogenic foci: past, present, future. J Clin Neurophysiol 14:470–483CrossRefPubMed Ebersole JS (1997) Defining epileptogenic foci: past, present, future. J Clin Neurophysiol 14:470–483CrossRefPubMed
go back to reference Edelman GM, Tononi GA (2000) A universe of consciousness. Basic Books, New York Edelman GM, Tononi GA (2000) A universe of consciousness. Basic Books, New York
go back to reference Ferree T, Eriksen K, Tucker D (2000) Regional head tissue conductivity estimation for improved EEG analysis. IEEE Trans Biomed Eng 47:1584–1592CrossRefPubMed Ferree T, Eriksen K, Tucker D (2000) Regional head tissue conductivity estimation for improved EEG analysis. IEEE Trans Biomed Eng 47:1584–1592CrossRefPubMed
go back to reference Fiederer LDJ, Vorwerke J, Lucka F, Dannhauer M, Yang S, Dümpelmann M, Schulze-Bonhage A, Aertsen A, Speck O, Wolters CH, Ball T (2016) The role of blood vessels in high-resolution volume conductor head modeling of EEG. NeuroImage 128:193–208CrossRefPubMed Fiederer LDJ, Vorwerke J, Lucka F, Dannhauer M, Yang S, Dümpelmann M, Schulze-Bonhage A, Aertsen A, Speck O, Wolters CH, Ball T (2016) The role of blood vessels in high-resolution volume conductor head modeling of EEG. NeuroImage 128:193–208CrossRefPubMed
go back to reference Flick J, Bickford RG, Nunez PL (1977) Average evoked potentials from brain fiber tracts—a volume conduction model. Proc San Diego Biomed Symp 16:281–284 Flick J, Bickford RG, Nunez PL (1977) Average evoked potentials from brain fiber tracts—a volume conduction model. Proc San Diego Biomed Symp 16:281–284
go back to reference Gevins AS, Le J, Martin N, Brickett P, Desmond J, Reutter B (1994) High resolution EEG: 124-channel recording, spatial enhancement, and MRI integration methods. Electroencephal Clin Neurophysiol 90:337–358CrossRef Gevins AS, Le J, Martin N, Brickett P, Desmond J, Reutter B (1994) High resolution EEG: 124-channel recording, spatial enhancement, and MRI integration methods. Electroencephal Clin Neurophysiol 90:337–358CrossRef
go back to reference Gevins AS, Smith ME, McEvoy L, Yu D (1997) High-resolution mapping of cortical activation related to working memory: effects of task difficulty, type of processing, and practice. Cereb Cortex 7:374–385CrossRefPubMed Gevins AS, Smith ME, McEvoy L, Yu D (1997) High-resolution mapping of cortical activation related to working memory: effects of task difficulty, type of processing, and practice. Cereb Cortex 7:374–385CrossRefPubMed
go back to reference Goncalves SI, de Munck JC, Verbunt JPA, Bijma F, Heethaar RM, Lopes da Silva FH (2003) In vivo measurement of the brain and skull resistivities using an EIT-based method and realistic models for the head. IEEE Transactions on Biomed Eng 50:754–767CrossRef Goncalves SI, de Munck JC, Verbunt JPA, Bijma F, Heethaar RM, Lopes da Silva FH (2003) In vivo measurement of the brain and skull resistivities using an EIT-based method and realistic models for the head. IEEE Transactions on Biomed Eng 50:754–767CrossRef
go back to reference Hamaleinen M, Hari R, Ilmoniemi RJ, Knuutila J, Lounasmaa OV (1993) Magnetoencephalography-theory, instrumentation, and applications to noninvasive studies of the working human brain. Rev Mod Physics 65:413:497CrossRef Hamaleinen M, Hari R, Ilmoniemi RJ, Knuutila J, Lounasmaa OV (1993) Magnetoencephalography-theory, instrumentation, and applications to noninvasive studies of the working human brain. Rev Mod Physics 65:413:497CrossRef
go back to reference Hjorth B (1975) An on line transformation of EEG scalp potentials into orthogonal source derivations. Electroencephal Clin Neurophysiol 39::526–530CrossRef Hjorth B (1975) An on line transformation of EEG scalp potentials into orthogonal source derivations. Electroencephal Clin Neurophysiol 39::526–530CrossRef
go back to reference Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiology 117:517–544CrossRef Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiology 117:517–544CrossRef
go back to reference Jackson JD (1976) Classical electrodynamics, 2nd edn. Wiley, New York Jackson JD (1976) Classical electrodynamics, 2nd edn. Wiley, New York
go back to reference Jasper HD, Penfield W (1949) Electrocorticograms in man. Effects of voluntary movement upon the electrical activity of the precentral gyrus. Archiv Fur Psychiatrie Zeitschrift Neurologie 183:163–174 Jasper HD, Penfield W (1949) Electrocorticograms in man. Effects of voluntary movement upon the electrical activity of the precentral gyrus. Archiv Fur Psychiatrie Zeitschrift Neurologie 183:163–174
go back to reference Kayser J, Tenke CE (2015) Issues and considerations for using the scalp surface Laplacian in EEG/ERP research: a tutorial review. Int J Psychophysiol 97:189–209CrossRefPubMedPubMedCentral Kayser J, Tenke CE (2015) Issues and considerations for using the scalp surface Laplacian in EEG/ERP research: a tutorial review. Int J Psychophysiol 97:189–209CrossRefPubMedPubMedCentral
go back to reference Kramer MA, Szeri AJ (2004) Quantitative approximation of the cortical surface potential from EEG and ECoG measurements. IEEE Trans Biomed Eng 51:1358–1365CrossRefPubMed Kramer MA, Szeri AJ (2004) Quantitative approximation of the cortical surface potential from EEG and ECoG measurements. IEEE Trans Biomed Eng 51:1358–1365CrossRefPubMed
go back to reference Lai Y, van Drongelen W, Ding L, Hecox KE, Towle VL, Frim DM, He B (2005) Estimation of in vivo human brain-to-skull conductivity ratio from simultaneous extra- and intra-cranial electrical potential recordings. Clin Neurophysiol 116:456–465CrossRefPubMed Lai Y, van Drongelen W, Ding L, Hecox KE, Towle VL, Frim DM, He B (2005) Estimation of in vivo human brain-to-skull conductivity ratio from simultaneous extra- and intra-cranial electrical potential recordings. Clin Neurophysiol 116:456–465CrossRefPubMed
go back to reference Law SK (1993) Thickness and resistivity variations over the upper surface of human skull. Brain Topogr 3:99–109CrossRef Law SK (1993) Thickness and resistivity variations over the upper surface of human skull. Brain Topogr 3:99–109CrossRef
go back to reference Law SK, Nunez PL, Wijesinghe R (1993) High resolution EEG using spline generated surface Laplacians on spherical and ellipsoidal surfaces. IEEE Trans Biomed Eng 40:145–153CrossRefPubMed Law SK, Nunez PL, Wijesinghe R (1993) High resolution EEG using spline generated surface Laplacians on spherical and ellipsoidal surfaces. IEEE Trans Biomed Eng 40:145–153CrossRefPubMed
go back to reference Leahy RM, Mosher JC, Spencer ME, Huang MX, Lewine JD (1998) A study of dipole localization accuracy for MEG and EEG using a human skull phantom. Electroencephal Clin Neurophysiol 107:159–173CrossRef Leahy RM, Mosher JC, Spencer ME, Huang MX, Lewine JD (1998) A study of dipole localization accuracy for MEG and EEG using a human skull phantom. Electroencephal Clin Neurophysiol 107:159–173CrossRef
go back to reference Liu Z, Ding L, He B (2006) Integration of EEG/MEG with MRI and fMRI in functional neuroimaging. IEEE Eng Med Biol Mag 25:46–53PubMedPubMedCentral Liu Z, Ding L, He B (2006) Integration of EEG/MEG with MRI and fMRI in functional neuroimaging. IEEE Eng Med Biol Mag 25:46–53PubMedPubMedCentral
go back to reference Lübbig H (ed) (1996) The inverse problem: symposium ad memoriam Hermann von Helmholtz. Wiley, Weinheim Lübbig H (ed) (1996) The inverse problem: symposium ad memoriam Hermann von Helmholtz. Wiley, Weinheim
go back to reference Mahjoory K, Nikulin VV, Botrel L, Linkenkaer-Hansen K, Fato MM, Haufe S (2017) Consistency of EEG source localization and connectivity estimates. NeuroImage 152:590–601CrossRefPubMed Mahjoory K, Nikulin VV, Botrel L, Linkenkaer-Hansen K, Fato MM, Haufe S (2017) Consistency of EEG source localization and connectivity estimates. NeuroImage 152:590–601CrossRefPubMed
go back to reference Malmuvino J, Plonsey R (1995) Bioelectromagetism. Oxford University Press, New York Malmuvino J, Plonsey R (1995) Bioelectromagetism. Oxford University Press, New York
go back to reference Michael W, Reimann MW, Anastassiou CA, Perin R, Hill SL, Markram H, Koch C (2013) A biophysically detailed model of neocortical local field potentials predicts the critical role of active membrane currents. Neuron 79:375–390CrossRef Michael W, Reimann MW, Anastassiou CA, Perin R, Hill SL, Markram H, Koch C (2013) A biophysically detailed model of neocortical local field potentials predicts the critical role of active membrane currents. Neuron 79:375–390CrossRef
go back to reference Mountcastle VB (1998) Perceptual neuroscience: the cerebral cortex. Academic Press, New York Mountcastle VB (1998) Perceptual neuroscience: the cerebral cortex. Academic Press, New York
go back to reference Nicholson C (2001) Diffusion and related transport mechanisms in brain tissue. Reports on Prog Physics 64:815–884CrossRef Nicholson C (2001) Diffusion and related transport mechanisms in brain tissue. Reports on Prog Physics 64:815–884CrossRef
go back to reference Nilsson JW (1986) Electric circuits. Addison-Wesley, Reading, MA Nilsson JW (1986) Electric circuits. Addison-Wesley, Reading, MA
go back to reference Nunez PL (1974) Wavelike properties of the alpha rhythm. IEEE Trans Biomed Eng 21:473–482CrossRef Nunez PL (1974) Wavelike properties of the alpha rhythm. IEEE Trans Biomed Eng 21:473–482CrossRef
go back to reference Nunez PL (1981) Electric fields of the brain: the neurophysics of EEG, 1st edn. Oxford University Press, New York Nunez PL (1981) Electric fields of the brain: the neurophysics of EEG, 1st edn. Oxford University Press, New York
go back to reference Nunez PL (1987) A method to estimate local skull resistance in living subjects. IEEE Trans Biomed Eng 34:902–904CrossRefPubMed Nunez PL (1987) A method to estimate local skull resistance in living subjects. IEEE Trans Biomed Eng 34:902–904CrossRefPubMed
go back to reference Nunez PL (1989) Generation of human EEG by a combination of long and short range neocortical interactions. Brain Topogr 1:199–215CrossRefPubMed Nunez PL (1989) Generation of human EEG by a combination of long and short range neocortical interactions. Brain Topogr 1:199–215CrossRefPubMed
go back to reference Nunez PL (1995) Neocortical dynamics and human EEG rhythms. Oxford University Press, New York Nunez PL (1995) Neocortical dynamics and human EEG rhythms. Oxford University Press, New York
go back to reference Nunez PL (2010b) Brain, mind, and the structure of reality. Oxford University Press, New YorkCrossRef Nunez PL (2010b) Brain, mind, and the structure of reality. Oxford University Press, New YorkCrossRef
go back to reference Nunez PL (2012) Electric and magnetic fields produced by brain sources. In: Wolpaw JR, Wolpaw EW (eds) Brain-computer interfaces for communication and control. Oxford University Press, New York, pp 45–63 Nunez PL (2012) Electric and magnetic fields produced by brain sources. In: Wolpaw JR, Wolpaw EW (eds) Brain-computer interfaces for communication and control. Oxford University Press, New York, pp 45–63
go back to reference Nunez PL (2016) The new science of consciousness: exploring the complexity of brain, mind, and self, amherst. Prometheus Books, New York Nunez PL (2016) The new science of consciousness: exploring the complexity of brain, mind, and self, amherst. Prometheus Books, New York
go back to reference Nunez PL, Silberstein RB (2000) On the relationship of synaptic activity to macroscopic measurements: does co-registration of EEG with fMRI make sense? Brain Topogr 13:79–96CrossRefPubMed Nunez PL, Silberstein RB (2000) On the relationship of synaptic activity to macroscopic measurements: does co-registration of EEG with fMRI make sense? Brain Topogr 13:79–96CrossRefPubMed
go back to reference Nunez PL, Srinivasan R (2006) Electric fields of the brain: the neurophysics of EEG, 2nd edn. Oxford University Press, New YorkCrossRef Nunez PL, Srinivasan R (2006) Electric fields of the brain: the neurophysics of EEG, 2nd edn. Oxford University Press, New YorkCrossRef
go back to reference Nunez PL, Srinivasan R (2010) Scale and frequency chauvinism in brain dynamics: too much emphasis on gamma band oscillations. Brain Struct Funct 215:67–71CrossRefPubMedPubMedCentral Nunez PL, Srinivasan R (2010) Scale and frequency chauvinism in brain dynamics: too much emphasis on gamma band oscillations. Brain Struct Funct 215:67–71CrossRefPubMedPubMedCentral
go back to reference Nunez PL, Srinivasan R (2014) Neocortical dynamics due to axon propagation delays in cortico-cortical fibers: EEG traveling and standing waves with implications for top-down influences on local networks and white matter disease. Brain Res 1542:138–166CrossRefPubMedPubMedCentral Nunez PL, Srinivasan R (2014) Neocortical dynamics due to axon propagation delays in cortico-cortical fibers: EEG traveling and standing waves with implications for top-down influences on local networks and white matter disease. Brain Res 1542:138–166CrossRefPubMedPubMedCentral
go back to reference Nunez PL, Pilgreen KL, Westdorp AF, Law SK, Nelson AV (1991) A visual study of surface potentials and Laplacians due to distributed neocortical sources: computer simulations and evoked potentials. Brain Topogr 2:151–168CrossRef Nunez PL, Pilgreen KL, Westdorp AF, Law SK, Nelson AV (1991) A visual study of surface potentials and Laplacians due to distributed neocortical sources: computer simulations and evoked potentials. Brain Topogr 2:151–168CrossRef
go back to reference Nunez PL, Silberstein RB, Cadusch PJ, Wijesinghe RS, Westdorp AF, Srinivasan R (1994) A theoretical and experimental study of high resolution EEG based on surface Laplacians and cortical imaging. Electroencephal Clin Neurophysiol 90:40–57CrossRef Nunez PL, Silberstein RB, Cadusch PJ, Wijesinghe RS, Westdorp AF, Srinivasan R (1994) A theoretical and experimental study of high resolution EEG based on surface Laplacians and cortical imaging. Electroencephal Clin Neurophysiol 90:40–57CrossRef
go back to reference Nunez PL, Srinivasan R, Westdorp AF, Wijesinghe RS, Tucker DM, Silberstein RB, Cadusch PJ (1997) EEG coherence I: statistics, reference electrode, volume conduction, Laplacians, cortical imaging, and interpretation at multiple scales. Electroencephal Clin Neurophysiol 103:516–527CrossRef Nunez PL, Srinivasan R, Westdorp AF, Wijesinghe RS, Tucker DM, Silberstein RB, Cadusch PJ (1997) EEG coherence I: statistics, reference electrode, volume conduction, Laplacians, cortical imaging, and interpretation at multiple scales. Electroencephal Clin Neurophysiol 103:516–527CrossRef
go back to reference Nunez PL, Silberstein RB, Shi Z, Carpenter MR, Srinivasan R, Tucker DM, Doran SM, Cadusch PJ, Wijesinghe RS (1999) EEG coherence II: experimental comparisons of multiple measures. Clin Neurophysiol 110:469–486CrossRefPubMed Nunez PL, Silberstein RB, Shi Z, Carpenter MR, Srinivasan R, Tucker DM, Doran SM, Cadusch PJ, Wijesinghe RS (1999) EEG coherence II: experimental comparisons of multiple measures. Clin Neurophysiol 110:469–486CrossRefPubMed
go back to reference Nunez PL, Wingeier BM, Silberstein RB (2001) Spatial-temporal structure of human alpha rhythms: theory, microcurrent sources, multiscale measurements, and global binding of local networks. Human Brain Mapp 13:125–164CrossRef Nunez PL, Wingeier BM, Silberstein RB (2001) Spatial-temporal structure of human alpha rhythms: theory, microcurrent sources, multiscale measurements, and global binding of local networks. Human Brain Mapp 13:125–164CrossRef
go back to reference Nunez PL, Srinivasan R, Fields RD (2015) EEG functional connectivity, axon delays and white matter disease. Clin Neurophysiol 126:110–120CrossRefPubMed Nunez PL, Srinivasan R, Fields RD (2015) EEG functional connectivity, axon delays and white matter disease. Clin Neurophysiol 126:110–120CrossRefPubMed
go back to reference Pascual-Marqui RD (1999) Review of methods for solving the EEG inverse problem. Int J Bioelectromagnetism 1:75–86 Pascual-Marqui RD (1999) Review of methods for solving the EEG inverse problem. Int J Bioelectromagnetism 1:75–86
go back to reference Pascual-Marqui RD, Gonzalez-Andino SL, Valdes-Sosa PA (1988) Current source density estimation and interpolation based on the spherical harmonic Fourier expansion. Int J Neurosci 43:237–249CrossRefPubMed Pascual-Marqui RD, Gonzalez-Andino SL, Valdes-Sosa PA (1988) Current source density estimation and interpolation based on the spherical harmonic Fourier expansion. Int J Neurosci 43:237–249CrossRefPubMed
go back to reference Pascual-Marqui RD, Michel CM, Lehmann D (1994) Low resolution electromagnetic tomography: a new method for localizing electrical activity in the brain. Int J Psychophysiol 18:49–65CrossRefPubMed Pascual-Marqui RD, Michel CM, Lehmann D (1994) Low resolution electromagnetic tomography: a new method for localizing electrical activity in the brain. Int J Psychophysiol 18:49–65CrossRefPubMed
go back to reference Penfield W, Jasper H (1954) Epilepsy and the functional anatomy of the human brain. Little, Brown, & Co., BostonCrossRef Penfield W, Jasper H (1954) Epilepsy and the functional anatomy of the human brain. Little, Brown, & Co., BostonCrossRef
go back to reference Perrin F, Bertrand O, Pernier J (1987) Scalp current density mapping: value and estimation from potential data. IEEE Trans Biomed Eng 34:283–289CrossRefPubMed Perrin F, Bertrand O, Pernier J (1987) Scalp current density mapping: value and estimation from potential data. IEEE Trans Biomed Eng 34:283–289CrossRefPubMed
go back to reference Perrin F, Pernier J, Bertrand O, Echalier JF (1989) Spherical splines for scalp potential and current density mapping. Electroencephal Clin Neurophysiol 72:184–187CrossRef Perrin F, Pernier J, Bertrand O, Echalier JF (1989) Spherical splines for scalp potential and current density mapping. Electroencephal Clin Neurophysiol 72:184–187CrossRef
go back to reference Pfurtscheller G, Cooper R (1975) Frequency dependence of the transmission of the EEG from cortex to scalp. Electroencephal Clin Neurophysiol 38:93–96CrossRef Pfurtscheller G, Cooper R (1975) Frequency dependence of the transmission of the EEG from cortex to scalp. Electroencephal Clin Neurophysiol 38:93–96CrossRef
go back to reference Pfurtscheller G, Lopes da Silva FH (1999) Event related EEG/MEG synchronization and desynchronization: basic principles. Electroencephal Clin Neurophysiol 110:1842–1857CrossRef Pfurtscheller G, Lopes da Silva FH (1999) Event related EEG/MEG synchronization and desynchronization: basic principles. Electroencephal Clin Neurophysiol 110:1842–1857CrossRef
go back to reference Plonsey R (1968) Bioelectric phenomena. McGraw Hill, New York Plonsey R (1968) Bioelectric phenomena. McGraw Hill, New York
go back to reference Polk C, Postow E (1986) CRC handbook of biological effects of electromagnetic fields. CRC Press, Boca Raton Polk C, Postow E (1986) CRC handbook of biological effects of electromagnetic fields. CRC Press, Boca Raton
go back to reference Reimann MW, Anastassiou CA, Perin R, Hill SL, Markram H, Koch C (2013) A biophysically detailed model of neocortical local field potentials predicts the critical role of active membrane currents. Neuron 79:375–390CrossRefPubMedPubMedCentral Reimann MW, Anastassiou CA, Perin R, Hill SL, Markram H, Koch C (2013) A biophysically detailed model of neocortical local field potentials predicts the critical role of active membrane currents. Neuron 79:375–390CrossRefPubMedPubMedCentral
go back to reference Riera JJ, Ogawa T, Goto T, Sumiyoshi A, Nonaka H, Evans A, Miyakawa H, Kawashima R (2012) Pitfalls in the dipolar model for the neocortical EEG sources. J Neurophysiol 108:956–975CrossRefPubMed Riera JJ, Ogawa T, Goto T, Sumiyoshi A, Nonaka H, Evans A, Miyakawa H, Kawashima R (2012) Pitfalls in the dipolar model for the neocortical EEG sources. J Neurophysiol 108:956–975CrossRefPubMed
go back to reference Rush S, Driscoll DA (1969) EEG electrode sensitivity: an application of reciprocity. IEEE Trans Biomed Eng 16:15–22CrossRefPubMed Rush S, Driscoll DA (1969) EEG electrode sensitivity: an application of reciprocity. IEEE Trans Biomed Eng 16:15–22CrossRefPubMed
go back to reference Russell GS, Srinivasan R, Tucker DM (1998) Bayesian estimates of error bounds for EEG source imaging. IEEE Trans Med Imaging 17:1084–1089CrossRefPubMed Russell GS, Srinivasan R, Tucker DM (1998) Bayesian estimates of error bounds for EEG source imaging. IEEE Trans Med Imaging 17:1084–1089CrossRefPubMed
go back to reference Russell GS, Eriksen JK, Poolman P, Luu P, Tucker DM (2005) Geodesic photogrammetry for localizing sensor positions in dense-array EEG. Clin Neurophysiol 116:1130–1140CrossRefPubMed Russell GS, Eriksen JK, Poolman P, Luu P, Tucker DM (2005) Geodesic photogrammetry for localizing sensor positions in dense-array EEG. Clin Neurophysiol 116:1130–1140CrossRefPubMed
go back to reference Salmelin R, Hari R (1994) Characterization of spontaneous MEG rhythms in healthy adults. Electroencephal Clin Neurophysiol 91:237–248CrossRef Salmelin R, Hari R (1994) Characterization of spontaneous MEG rhythms in healthy adults. Electroencephal Clin Neurophysiol 91:237–248CrossRef
go back to reference Scherg M, von Cramon D (1985) Two bilateral sources of the late AEP as identified by a spatio-temporal dipole model. Electroencephal Clin Neurophysiol/Evoked Potentials Sect 62:32–44CrossRef Scherg M, von Cramon D (1985) Two bilateral sources of the late AEP as identified by a spatio-temporal dipole model. Electroencephal Clin Neurophysiol/Evoked Potentials Sect 62:32–44CrossRef
go back to reference Schomer DL, Lopes da Silva FH (eds) (2018) Niedermeyer’s electroencephalography: basic principles, clinical applications, and related fields, 7th edn. Oxford University Press, London Schomer DL, Lopes da Silva FH (eds) (2018) Niedermeyer’s electroencephalography: basic principles, clinical applications, and related fields, 7th edn. Oxford University Press, London
go back to reference Silberstein RB (1995) Steady-state visually evoked potentials, brain resonances, and cognitive processes. In: Nunez PL (ed) Neocortical dynamics and human EEG rhythms. Oxford University Press, Oxford, pp 272–303 Silberstein RB (1995) Steady-state visually evoked potentials, brain resonances, and cognitive processes. In: Nunez PL (ed) Neocortical dynamics and human EEG rhythms. Oxford University Press, Oxford, pp 272–303
go back to reference Sporns O (2011) Networks of the brain. MIT Press, Cambridge Sporns O (2011) Networks of the brain. MIT Press, Cambridge
go back to reference Srinivasan R (1999) Spatial structure of the human alpha rhythm: global correlation in adults and local correlation in children. Clin Neurophysiol 110:1351–1362CrossRefPubMed Srinivasan R (1999) Spatial structure of the human alpha rhythm: global correlation in adults and local correlation in children. Clin Neurophysiol 110:1351–1362CrossRefPubMed
go back to reference Srinivasan R, Nunez PL, Tucker DM, Silberstein RB, Cadusch PJ (1996) Spatial sampling and filtering of EEG with spline-Laplacians to estimate cortical potentials. Brain Topogr 8:355–366CrossRefPubMed Srinivasan R, Nunez PL, Tucker DM, Silberstein RB, Cadusch PJ (1996) Spatial sampling and filtering of EEG with spline-Laplacians to estimate cortical potentials. Brain Topogr 8:355–366CrossRefPubMed
go back to reference Srinivasan R, Nunez PL, Silberstein RB (1998) Spatial filtering and neocortical dynamics: estimates of EEG coherence. IEEE Trans Biomed Eng 45:814–825CrossRefPubMed Srinivasan R, Nunez PL, Silberstein RB (1998) Spatial filtering and neocortical dynamics: estimates of EEG coherence. IEEE Trans Biomed Eng 45:814–825CrossRefPubMed
go back to reference Srinivasan R, Russell DP, Edelman GM, Tononi G (1999) Frequency tagging competing stimuli in binocular rivalry reveals increased synchronization of neuromagnetic responses during conscious perception. J Neurosci 19:5435–5448CrossRefPubMed Srinivasan R, Russell DP, Edelman GM, Tononi G (1999) Frequency tagging competing stimuli in binocular rivalry reveals increased synchronization of neuromagnetic responses during conscious perception. J Neurosci 19:5435–5448CrossRefPubMed
go back to reference Srinivasan R, Winter WR, Ding J, Nunez PL (2007) EEG and MEG coherence: measures of functional connectivity at distinct spatial scales of neocortical dynamics. J Neurosci Methods 166:41–52CrossRefPubMedPubMedCentral Srinivasan R, Winter WR, Ding J, Nunez PL (2007) EEG and MEG coherence: measures of functional connectivity at distinct spatial scales of neocortical dynamics. J Neurosci Methods 166:41–52CrossRefPubMedPubMedCentral
go back to reference Srinivasan R, Thorpe S, Nunez PL (2013) Top-down influences on local networks: basic theory with experimental implications. Front Compu Neurosci 7:29CrossRef Srinivasan R, Thorpe S, Nunez PL (2013) Top-down influences on local networks: basic theory with experimental implications. Front Compu Neurosci 7:29CrossRef
go back to reference Szentagothai J (1978) The neural network of the cerebral cortex: a functional interpretation. Proc R Soc Lond [Biol] B201:219–248 Szentagothai J (1978) The neural network of the cerebral cortex: a functional interpretation. Proc R Soc Lond [Biol] B201:219–248
go back to reference Szentagothai J (1987) Architectectonics, modular, of neural centers. In: Adelman G (ed) Encyclopedia of neuroscience, vol. I. Birkhauser, Boston, pp 74–77 Szentagothai J (1987) Architectectonics, modular, of neural centers. In: Adelman G (ed) Encyclopedia of neuroscience, vol. I. Birkhauser, Boston, pp 74–77
go back to reference Uutela K, Hämäläinen M, Somersalo E (1999) Visualization of magnetoencephalographic data using minimum current estimates. NeuroImage 10:173–180CrossRefPubMed Uutela K, Hämäläinen M, Somersalo E (1999) Visualization of magnetoencephalographic data using minimum current estimates. NeuroImage 10:173–180CrossRefPubMed
go back to reference Wadman WJ, Lopes da Silva FH (2018) Biophysical aspects of EEG and MEG generation. In: Schomer DL, Lopes da Silva FH (eds) Niedermeyer’s Electroencephalography, 7th ed. Oxford University Press, Oxford, pp 89–103 Wadman WJ, Lopes da Silva FH (2018) Biophysical aspects of EEG and MEG generation. In: Schomer DL, Lopes da Silva FH (eds) Niedermeyer’s Electroencephalography, 7th ed. Oxford University Press, Oxford, pp 89–103
go back to reference Walter WG (1950) Normal rhythms—their development, distribution, and significance in electroencephalography. In: Hill D, Parr G (eds) A symposium on its various aspects. Macdonald, Oxford, pp. 203–227 Walter WG (1950) Normal rhythms—their development, distribution, and significance in electroencephalography. In: Hill D, Parr G (eds) A symposium on its various aspects. Macdonald, Oxford, pp. 203–227
go back to reference Wingeier BM (2004) A high resolution study of coherence and spatial spectra in human EEG. Ph.D. Dissertation, Tulane University Wingeier BM (2004) A high resolution study of coherence and spatial spectra in human EEG. Ph.D. Dissertation, Tulane University
Metadata
Title
Multi-Scale Neural Sources of EEG: Genuine, Equivalent, and Representative. A Tutorial Review
Authors
Paul L. Nunez
Michael D. Nunez
Ramesh Srinivasan
Publication date
01-03-2019
Publisher
Springer US
Published in
Brain Topography / Issue 2/2019
Print ISSN: 0896-0267
Electronic ISSN: 1573-6792
DOI
https://doi.org/10.1007/s10548-019-00701-3

Other articles of this Issue 2/2019

Brain Topography 2/2019 Go to the issue