Origins of 1/f 2 scaling in the power spectrum of intracortical local field potential

Journal of Neurophysiology

Volumn 107, Issue 3, 2012, Pages 984-994

  Baranauskas, Gytis ^a,b   Maggiolini, Emma ^a   Vato, Alessandro ^a   Angotzi, Giannicola ^a   Bonfanti, Andrea ^c   Zambra, Guido ^c   Spinelli, Alessandro ^c   Fadiga, Luciano ^a,d  

^a ISTITUTO ITALIANO DI TECNOLOGIA   (Italy)

^b LITHUANIAN UNIVERSITY OF HEALTH SCIENCES   (Lithuania)

^c POLITECNICO DI MILANO   (Italy)

^d UNIVERSITY OF FERRARA   (Italy)

Author keywords

"UP" and "DOWN"; Power law; Self organized critical states; States

Indexed keywords

ARTICLE; ELECTRIC POTENTIAL; ELECTROENCEPHALOGRAM; INTRACORTICAL LOCAL FIELD POTENTIAL; MATHEMATICAL PHENOMENA; NERVE CELL; PRIORITY JOURNAL; SOMATOSENSORY CORTEX; SPIKE WAVE; ACTION POTENTIAL; ANIMAL; CELL MEMBRANE POTENTIAL; LONG EVANS RAT; MALE; PHYSIOLOGY; RAT;

ACTION POTENTIALS; ANIMALS; MALE; MEMBRANE POTENTIALS; NEURONS; RATS; RATS, LONG-EVANS; SOMATOSENSORY CORTEX;

EID: 84855855120     PISSN: 00223077     EISSN: 15221598     Source Type: Journal    
DOI: 10.1152/jn.00470.2011     Document Type: Article

References (47)

1. Bak P, Tang C, Wiesenfeld K. Self-organized citicality: an explanation of the 1/f noise. Phys Rev Lett 59: 381-384, 1987.
2. Baranauskas G. Ionic channel function in action potential generation: current perspective. Mol Neurobiol 35: 129-150, 2007.
3. Bazhenov M, Timofeev I, Steriade M, Sejnowski TJ. Model of thalamocortical slow-wave sleep oscillations and transitions to activated states. J Neurosci 22: 8691-8704, 2002.
4. Bedard C, Destexhe A. Macroscopic models of local field potentials and the apparent 1/f noise in brain activity. Biophys J 96: 2589-2603, 2009.
5. Bedard C, Kroger H, Destexhe A. Does the 1/f frequency scaling of brain signals reflect self-organized critical states? Phys Rev Lett 97: 118102, 2006.
6. Beggs JM, Plenz D. Neuronal avalanches in neocortical circuits. J Neurosci 23: 11167-11177, 2003.
7. Blackwell KT, Czubayko U, Plenz D. Quantitative estimate of synaptic inputs to striatal neurons during Up and Down states in vitro. J Neurosci 23: 9123-9132, 2003.
8. Bonachela JA, Franciscis S, Torres J, Munoz M. Self-organization without conservation: are neuronal avalanches generically critical? J Stat Mech 10: P02015, 2010.
9. Brumberg JC, Pinto DJ, Simons DJ. Cortical columnar processing in the rat whisker-to-barrel system. J Neurophysiol 82: 1808-1817, 1999.
10. Buchwald JS, Hala E, Schramm S. A comparison of multi-unit activity and EEG activity recorded from the same brain site in chronic cats during behavioral conditioning. Nature 205: 1012-1014, 1965.
11. Chapin JK, Lin CS. Mapping the body representation in the SI cortex of anesthetized and awake rats. J Comp Neurol 229: 199-213, 1984.
12. Dembrow NC, Chitwood RA, Johnston D. Projection-specific neuromodulation of medial prefrontal cortex neurons. J Neurosci 30: 16922-16937, 2010.
13. Einevoll GT, Pettersen KH, Devor A, Ulbert I, Halgren E, Dale AM. Laminar population analysis: estimating firing rates and evoked synaptic activity from multielectrode recordings in rat barrel cortex. J Neurophysiol 97: 2174-2190, 2007.
14. Erchova IA, Lebedev MA, Diamond ME. Somatosensory cortical neuronal population activity across states of anaesthesia. Eur J Neurosci 15: 744-752, 2002.
15. Fee MS, Mitra PP, Kleinfeld D. Variability of extracellular spike waveforms of cortical neurons. J Neurophysiol 76: 3823-3833, 1996.
16. Friedrich RW, Laurent G. Dynamic optimization of odor representations by slow temporal patterning of mitral cell activity. Science 291: 889-894, 2001.
17. Hall RD, Lindholm EP. Organization of motor and somatosensory neocortex in the albino rat. Brain Res 66: 23-38, 1974.
18. Harrison RR, Charles C. A low-power low-noise CMOS amplifier for neural recording applications. IEEE J Solid-State Circuits 38: 958-965, 2003.
19. He BJ, Zempel JM, Snyder AZ, Raichle ME. The temporal structures and functional significance of scale free brain activity. Neuron 66: 353-369, 2010.
20. Hille B. Ion Channels of Excitable Membranes. Sunderland, MA: Sinauer, 2001.
21. Kamondi A, Ascady L, Wang XJ, Buzsaki G. Theta oscillations in somata and dendrites of hippocampal pyramidal cells in vivo: activity-dependent phase-precession of action potentials. Hippocampus 8: 244-261, 1998.
22. Kinouchi O, Copelli M. Optimal dynamical range of excitable networks at criticality. Nat Phys 2: 348-351, 2006.
23. Lambacher A, Jenkner M. Electrical imaging of neuronal activity by multitransistor- array recording at 7.8 mm resolution. Appl Phys A 79: 1607-1611, 2004.
24. Legenstein R, Maass W. Edge of chaos and prediction of computational performance for neural circuit models. Neural Netw 20: 323-334, 2007.
25. Leopold DA, Murayama Y, Logothetis NK. Very slow activity fluctuations in monkey visual cortex: implications for functional brain imaging. Cereb Cortex 13: 422-433, 2003.
26. Linden H, Pettersen KH, Einevoll GT. Intrinsic dendritic filtering gives low-pass power spectra of local field potentials. J Comput Neurosci 29: 423-444, 2010.
27. Logothetis NK, Kayser C, Oeltermann A. In vivo measurements of cortical impedance spectrum in monkeys: implications for signal propagation. Neuron 55: 809-823, 2007.
28. Logothetis NK, Pauls J, Augath M, Trinath T, Oeltermann A. Neurophysiological investigation of the basis of the fMRI signal. Nature 412: 150-157, 2001.
29. Luczak A, Bartho P, Marguet SL, Buzsaki G, Harris KD. Sequential structure of neocortical spontaneous activity in vivo. Proc Natl Acad Sci USA 104: 347-352, 2007.
30. Millman D, Mihalas S, Kirkwood A, Niebur E. Self-organized criticality occurs in conservative neuronal networks during Up states. Nat Phys 6: 801-805, 2010.
31. Milstein J, Mormann F, Fried I, Koch C. Neuronal shot noise and Brownian 1/f2 behavior in the local field potential. PLoS ONE 4: e4338, 2009.
32. Okun M, Naim A, Lampl I. The subthreshold relation between cortical local field potential and neuronal firing unveiled by intracellular recordings in awake rats. J Neurosci 30: 4440-4448, 2010.
33. Parga N, Abbot LF. Network model of spontaneous activity exhibiting synchronous transitions between Up and Down states. Front Neurosci 1: 57-66, 2007.
34. Pastalkova E, Itskov V, Amarasingham A, Buzsaki G. Internally generated cell assembly sequence in the rat hippocampus. Science 321: 1322-1327, 2008.
35. Paxinos G, Watson C. The Rat Brain in Stereotaxic Coordinates. Amsterdam: Elsevier, 2007.
36. van Pelt J, Wolters PS, Corner MA, Rutten WL, Ramakers GJ. Long term characterization of firing dynamics of spontaneous bursts in cultured neuronal networks. IEEE Trans Biomed Eng 51: 2051-2062, 2004.
37. Petersen CCH, Hahn TTG, Mehta M, Grinvald A, Sakmann B. Interactions of sensory responses with spontaneous depolarization in layer 2/3 barrel cortex. Proc Natl Acad Sci USA 100: 13638-13643, 2003.
38. Pettersen KH, Einevoll GT. Amplitude variability and extracellular low-pass filtering of neuronal spikes. Biophys J 94: 784-802, 2008.
39. Rasch MJ, Gretton A, Murayama Y, Maass W, Logothetis NK. Inferring spike trains from local field potentials. J Neurophysiol 99: 1461-1476, 2008.
40. Saleem AB, Chadderton P, Apergia-Schoute J, Harris KD, Schutlz SR. Methods for predicting cortical UP and DOWN states from the phase of deep layer local field potentials. J Comput Neurosci 29: 49-62, 2010.
41. Simons DJ. Response properties of vibrissa units in rat SI somatosensory neocortex. J Neurophysiol 41: 798-820, 1978.
42. Steriade M, Nunez A, Amzica F. Intracellular analysis of relations between the slow (_1 Hz) neocortical oscillations and other sleep rhythms of the electroencephalogram. J Neurosci 13: 3266-3283, 1993.
43. Steriade M, Timofeev I, Grenier F. Natural waking and sleep states: a view from inside neocortical neurons. J Neurophysiol 85: 1969-1985, 2001.
44. Touboul J, Destexhe A. Can power-law scaling and neuronal avalanches arise from stochastic dynamics? PLoS ONE 5: e8982, 2010.
45. Turcotte DL. Self-organized criticality. Rep Prog Phys 62: 1377-1429, 1999.
46. Woolsey TA, Van der Loos H. The structural organization of layer IV in the somatosensory region (SI) of mouse cerebral cortex. The description of a cortical field composed of discrete cytoarchitectonic units. Brain Res 17: 205-242, 1970.
47. Zanos S. Neural correlates of high-frequency intracortical and epicortical field potentials. J Neurosci 29: 3673-3675, 2009.