Macroscopic models of local field potentials and the apparent 1/f noise in brain activity

Biophysical Journal

Volumn 96, Issue 7, 2009, Pages 2589-2603

  Bédard, Claude ^a   Destexhe, Alain ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOLOGY; BRAIN FUNCTION; ELECTRIC POTENTIAL; MEASUREMENT; MODEL; NOISE; OBSERVATIONAL STUDY; POWER SPECTRUM; PREDICTION; BIOLOGICAL MODEL; BRAIN; CYTOLOGY; DIFFUSION; ELECTRIC CONDUCTIVITY; EXTRACELLULAR SPACE; METABOLISM; MICROSCOPY; PHYSIOLOGY;

BRAIN; DIFFUSION; ELECTRIC CONDUCTIVITY; EXTRACELLULAR SPACE; MICROSCOPY; MODELS, BIOLOGICAL;

EID: 67649312255     PISSN: 00063495     EISSN: 15420086     Source Type: Journal    
DOI: 10.1016/j.bpj.2008.12.3951     Document Type: Article

References (37)

1. Bhattacharya, J., and H. Petsche. 2001. Universality in the brain while listening to music. Proc. Biol. Sci. 268:2423-2433.
2. Bédard, C., H. Kröger, and A. Destexhe. 2006. Does the 1/f frequency scaling of brain signals reflect self-organized critical states? Phys. Rev. Lett. 97:118102.
3. Novikov, E., A. Novikov, D. Shannahoff-Khalsa, B. Schwartz, and J. Wright. 1997. Scale-similar activity in the brain. Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics. 56:R2387-R2389.
4. Pritchard, W. S. 1992. The brain in fractal time: 1/f-like power spectrum scaling of the human electroencephalogram. Int. J. Neurosci. 66:119-129.
5. Jensen, H. J. 1998. Self-Organized Criticality: Emergent Complex Behavior in Physical and Biological Systems. Cambridge University Press, Cambridge, UK.
6. Beggs, J., and D. Plenz. 2003. Neuronal avalanches in neocortical circuits. J. Neurosci. 23:11167-11177.
7. Bédard, C., H. Kröger, and A. Destexhe. 2004. Modeling extracellular field potentials and the frequency-filtering properties of extracellular space. Biophys. J. 86:1829-1842.
8. Gabriel, S., R. W. Lau, and C. Gabriel. 1996. The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz to 20 GHz. Phys. Med. Biol. 41:2251-2269.
9. Bédard, C., H. Kröger, and A. Destexhe. 2006. Model of low-pass filtering of local field potentials in brain tissue. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73:051911.
10. Logothetis, N. K., C. Kayser, and A. Oeltermann. 2007. In vivo measurement of cortical impedance spectrum in monkeys: implications for signal propagation. Neuron. 55:809-823.
11. Gabriel, S., R. W. Lau, and C. Gabriel. 1996. The dielectric properties of biological tissues: III. Parametric models for the dielectric spectrum tissues. Phys. Med. Biol. 41:2271-2293.
12. Cole, K. S., and R. H. Cole. 1941. Dispersion and absorption in dielectrics. I. Alternating current characteristics. J. Chem. Phys. 9:341-351.
13. Gabriel, S., R. W. Lau, and C. Gabriel. 1996. The dielectric properties of biological tissues: I. Literature survey. Phys. Med. Biol. 41: 2231-2249.
14. Berg, H. C. 1983. Random Walks in Biology Princeton University Press, Princeton.
15. Maxwell, J. C. 1873. A Treatise on Electricity and Magnetism., Vol. 1 Clarendon Press, Oxford, UK.
16. Buckingham, M. J. J. 1985. Noise in Electronic Devices and Systems John Wiley & Sons, New York.
17. Foster, K. R., and H. P. Schwan. 1989. Dielectric properties of tissues and biological materials: a critical review. Crit. Rev. Biomed. Eng. 17:25-104.
18. Kronig, R. D. L. 1926. On the theory of dispersion of x-rays. J. Opt. Soc. Am. 12:547-556.
19. Landau, L. D., and E. M. Lifshitz. 1984. Electrodynamics of Continuous Media Pergamon Press, Moscow, Russia.
20. Purcell, E. M. 1984. Electricity and Magnetism McGraw Hill, New York.
21. Braitenberg, V., and A. Shutz. 1998. Cortex: Statistics and Geometry of Neuronal Connectivity, 2nd Ed. Springer-Verlag, Berlin, Germany.
22. Nunez, P. L., A. Novikov, and R. Srinivasan. 2006. Electric Fields of the Brain, 2nd Ed. Oxford University Press, Oxford, UK.
23. Diard, J.-P., B. Le Gorrec, and C. Montella. 1999. Linear diffusion impedance. General expression and applications. J. Electroanal. Chem. 471:126-131.
24. Hooge, F. N. P. A. B. 1997. On the correlation function of 1/f noise. Physica B (Amsterdam). 239:223-230.
25. Hooge, F. N. 1962. 1/f noise is no surface effect. Phys. Lett. 29A:139-140.
26. Pettersen, K. H., and G. T. Einevoll. 2008. Amplitude variability and extracellular low-pass filtering of neuronal spikes. Biophys. J. 94:784-802.
27. Gold, C., D. A. Henze, C. Koch, and G. Buzsaki. 2006. On the origin of the extracellular action potential waveform: a modeling study. J. Neurophysiol. 95:3113-3128.
28. Marre, O., S. El Boustani, P. Baudot, M. Levy, C. Monier, et al. 2007. Stimulus-dependency of spectral scaling laws in V1 synaptic activity as a read-out of the effective network topology. Soc. Neurosci. Abstr. 33: 790.6.
29. Geddes, L. A. 1997. Historical evolution of circuit models for the electrode-electrolyte interface. Ann. Biomed. Eng. 25:1-14.
30. McAdams, E. T., and J. Jossinet. 1992. A physical interpretation of Schwan's limit current of linearity. Ann. Biomed. Eng. 20:307-319.
31. Nyquist, H. 1928. Thermal agitation of electric charge in conductors. Phys. Rev. 32:110-113.
32. Vasilyev, A. M. 1983. An Introduction to Statistical Physics, MIR Editions, Moscow, Russia.
33. Nicholson, C., and E. Sykova. 1998. Extracellular space structure revealed by diffusion analysis. Trends Neurosci. 21:207-215.
34. Nicholson, C. 2005. Factors governing diffusing molecular signals in brain extracellular space. J. Neural Transm. 112:29-44.
35. Rusakov, D. A., and D. M. Kullmann. 1998. Geometric and viscous components of the tortuosity of the extracellular space in the brain. Proc. Natl. Acad. Sci. USA. 95:8975-8980.
36. Taylor, S. R., and E. Gileadi. 1995. The physical interpretation of the Warburg impedance. Corrosion. 51:664-671.
37. Destexhe, A., D. Contreras, and M. Steriade. 1999. Spatiotemporal analysis of local field potentials and unit discharges in cat cerebral cortex during natural wake and sleep states. J. Neurosci. 19:4595-4608.