Definition
The local field potential (LFP) is the electric potential in the extracellular space around neurons. The LFP is generated by electric currents and charges, and is also interacting in several possible ways with the extracellular medium, such as capacitive interactions, polarization, or through ionic diffusion. These types of interaction confer specific frequency dependence of the extracellular electric potential and thus are important for correctly interpreting the LFP, as well as estimating the underlying neuronal sources (inverse problem).
Detailed Description
Introduction
In contrast to the electroencephalogram (EEG) recorded at the surface of the scalp, the local field potential (LFP) is recorded by inserting microelectrodes into neural tissue and is recordable using a variety of electrode systems, such as metal or silicon electrodes, or glass micropipettes. Early studies established that action potentials have a limited participation to EEGs or LFPs (Bremer 1938, 1949;...
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References
Bédard C, Destexhe A (2009) Macroscopic models of local field potentials and the apparent 1/f noise in brain activity. Biophys J 96:2589–2603. https://doi.org/10.1016/j.bpj.2008.12.3951
Bédard C, Destexhe A (2011) A generalized theory for current-source density analysis in brain tissue. Phys Rev E 84:041909. https://doi.org/10.1103/PhysRevE.84.041909
Bédard C, Destexhe A (2013) Generalized cable theory for neurons in complex and heterogeneous media. Phys Rev E 88:022709. https://doi.org/10.1103/PhysRevE.88.022709
Bédard C, Destexhe A (2014) Mean-field formulation of Maxwell equations to model electrically inhomogeneous and isotropic media. J Electromagn Anal Appl 6:296–302
Bédard C, Destexhe A (2017) Is the extracellular impedance high and non-resistive in cerebral cortex? Biophys J 113:1639–1642. https://doi.org/10.1016/j.bpj.2017.08.021
Bédard C, Destexhe A (2018) Kramers-Kronig relations and the properties of conductivity and permittivity in heterogeneous media. J Electromagn Anal Appl 10(2):34–51
Bédard C, Kröger H, Destexhe A (2004) Modeling extracellular field potentials and the frequency-filtering properties of extracellular space. Biophys J 86:1829–1842. https://doi.org/10.1016/S0006-3495(04)74250-2
Bédard C, Kröger H, Destexhe A (2006a) Model of low-pass filtering of local field potentials in brain tissue. Phys Rev E 73:051911
Bédard C, Kröger H, Destexhe A (2006b) Does the 1/f frequency scaling of brain signals reflect self-organized critical states? Phys Rev Lett 97:118102
Bédard C, Rodrigues S, Roy N, Contreras D, Destexhe A (2010) Evidence for frequency-dependent extracellular impedance from the transfer function between extracellular and intracellular potentials. J Comput Neurosci 29:389–403. https://doi.org/10.1007/s10827-010-0250-7
Bedard C, Kroger H and Destexhe A (2004) Modeling extracellular field potentials and the frequency-filtering properties of extracellular space. Biophys J 86:1829–1842
Bedard C, Gomes J-M, Bal T, Destexhe A (2017) A framework to reconcile frequency scaling measurements, from intracellular recordings, local-field potentials, up to EEG and MEG signals. J Integr Neurosci 16:3–18. https://doi.org/10.3233/JIN-160001
Beggs J, Plenz D (2003) Neuronal avalanches in neocortical circuits. J Neurosci 23:11167–11177. https://doi.org/10.1523/JNEUROSCI.23-35-11167.2003
Bhattacharya J, Petsche H (2001) Universality in the brain while listening to music. Proc Biol Sci 268:2423–2433
Bremer F (1938) L’activité électrique de l’écorce cérébrale. Actualités Sci Indust 658:3–46
Bremer F (1949) Considérations sur l’origine et la nature des “ondes” cérébrales. Electroencephalogr Clin Neurophysiol 1:177–193
Creutzfeldt O, Watanabe S, Lux HD (1966a) Relation between EEG phenomena and potentials of single cortical cells. I. Evoked responses after thalamic and epicortical stimulation. Electroencephalogr Clin Neurophysiol 20:1–18
Creutzfeldt O, Watanabe S, Lux HD (1966b) Relation between EEG phenomena and potentials of single cortical cells. II. Spontaneous and convulsoid activity. Electroencephalogr Clin Neurophysiol 20:19–37
de Montigny M, Rousseaux G (2006) On the electrodynamics of moving bodies at low velocities. Eur J Phys 27:755–768. https://doi.org/10.1088/0143-0807/27/4/007
Dehghani N, Bédard C, Cash SS, Halgren E, Destexhe A (2010) Comparative power spectral analysis of simultaneous elecroencephalographic and magnetoencephalographic recordings in humans suggests non-resistive extracellular media. J Comput Neurosci 29:405–421. https://doi.org/10.1007/s10827-010-0263-2
Destexhe A (1998) Spike-and-wave oscillations based on the properties of GABAb receptors. J Neurosci 18:9099–9111. https://doi.org/10.1523/JNEUROSCI.18-21-09099.1998
Eccles JC (1951) Interpretation of action potentials evoked in the cerebral cortex. J Neurophysiol 3:449–464
Foster KR, Schwan HP (1989) Dielectric properties of tissues and biological materials: a critical review. Crit Rev Biomed Eng 17:25–104
Gabriel S, Lau RW, Gabriel C (1996a) The dielectric properties of biological tissues: I. Literature survey. Phys Med Biol 41:2231–2249
Gabriel S, Lau RW, Gabriel C (1996b) The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz to 20 GHz. Phys Med Biol 41:2251–2269
Gabriel S, Lau RW, Gabriel C (1996c) The dielectric properties of biological tissues: III. Parametric models for the dielectric spectrum tissues. Phys Med Biol 41:2271–2293
Gold C, Henze DA, Koch C, Buzsaki G (2006) On the origin of the extracellular action potential waveform: a modeling study. J Neurophysiol 95:3113–3128. https://doi.org/10.1152/jn.00979.2005
Gomes J-M, Bedard C, Valtcheva S, Nelson M, Khokhlova V, Pouget P, Venance L, Bal T, Destexhe A (2016) Intracellular impedance measurements reveal nonohmic properties of the extracellular medium around neurons. Biophys J 110:234–246. https://doi.org/10.1016/j.bpj.2015.11.019
Jackson JD (1999) Classical electrodynamics, 3rd edn. Wiley, New York. https://doi.org/10.1364/ol.24.001133
Jensen HJ (1998) Self-Organized Criticality. Emergent Complex Behavior in Physical and Biological Systems. Cambridge University Press, Cambridge UK
Klee MR, Offenloch K, Tigges J (1965) Cross-correlation analysis of electroencephalographic potentials and slow membrane transients. Science 147:519–521. https://doi.org/10.1126/science.147.3657.519
Kronig RDL (1926) On the theory of dispersion of X-rays. J Opt Soc Am 12:547. https://doi.org/10.1364/JOSA.12.000547
Landau LD, Lifshitz EM (1981) Electrodynamics of continuous media. Pergamon Press, Moscow. https://doi.org/10.1126/science.7268438
Logothetis NK, Kayser C, Oeltermann A (2007) In vivo measurement of cortical impedance spectrum in monkeys: implications for signal propagation. Neuron 55:809–823. https://doi.org/10.1016/j.neuron.2007.07.027
Miceli S, Ness TV, Einevoll GT, Schubert D (2017) Impedance spectrum in cortical tissue: implications for propagation of LFP signals on the microscopic level. eNeuro 4:e0291. https://doi.org/10.1523/ENEURO.0291-16.2016
Mitzdorf U (1985) Current source-density method and application in cat cerebral cortex: investigation of evoked potentials and EEG phenomena. Physiol Rev 65:37–100. https://doi.org/10.1152/physrev.1985.65.1.37
Nicholson C, Freeman JA (1975) Theory of current source-density analysis and determination of conductivity tensor for anuran cerebellum. J Neurophysiol 38:356–368. https://doi.org/10.1152/jn.1975.38.2.356
Niedermeyer E, Lopes da Silva F (eds) (1998) Electroencephalography, 4th edn. Williams and Wilkins, Baltimore
Novikov E, Novikov A, Shannahoff-Khalsa D, Schwartz B, Wright J (1997) Scale-similar activity in the brain. Phys Rev E 56:R2387–R2389. https://doi.org/10.1103/PhysRevE.56.R2387
Nunez PL (1981) Electric fields of the brain. The neurophysics of EEG. Oxford University Press, Oxford, UK. https://doi.org/10.1016/0003-9861(81)90407-0
Nunez PL, Srinivasan R (2005) Electric fields of the brain, 2nd edn. Oxford University Press, Oxford, UK
Peters A, Palay SL, Webster HF (1991) The fine structure of the nervous system. Oxford University Press, Oxford, UK
Pettersen KH, Einevoll GT (2011) Amplitude variability and extracellular low-pass filtering of neuronal spikes. Biophys J 94:784–802
Planck M and Brose LH (1932) Theory of electricity and magnetism, 2nd edn. Macmillan and Co., London UK
Pritchard WS (1992) The brain in fractal time: 1/f-like power spectrum scaling of the human electroencephalogram. Int J Neurosci 66:119–129
Protopapas AD, Vanier M, Bower J (1998) Simulating large-scale networks of neurons. In: Koch C, Segev I (eds) Methods in neuronal modeling, 2nd edn. MIT Press, Cambridge, MA, pp 461–498
Rall W, Shepherd GM (1968) Theoretical reconstruction of field potentials and dendrodendritic synaptic interactions in olfactory bulb. J Neurophysiol 31:884–915. https://doi.org/10.1152/jn.1968.31.6.884
Further Reading
Bedard C, Destexhe A (2012) Modeling local field potentials and their interaction with the extracellular medium. In: Brette R, Destexhe A (eds) Handbook of neural activity measurement. Cambridge University Press, Cambridge, pp 136–191
Koch C, Segev I (eds) (1998) Methods in neuronal modeling, 2nd edn. MIT Press, Cambridge, MA
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Bédard, C., Destexhe, A. (2020). Local Field Potentials: Interaction with the Extracellular Medium. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7320-6_720-2
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DOI: https://doi.org/10.1007/978-1-4614-7320-6_720-2
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Local Field Potentials: Interaction with the Extracellular Medium- Published:
- 13 January 2020
DOI: https://doi.org/10.1007/978-1-4614-7320-6_720-2
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Local Field Potential Interaction with the Extracellular Medium- Published:
- 15 March 2014
DOI: https://doi.org/10.1007/978-1-4614-7320-6_720-1