Scale-invariant neuronal avalanche dynamics and the cut-off in size distributions

PLoS ONE

Volumn 9, Issue 6, 2014, Pages

  Yu, Shan ^a   Klaus, Andreas ^a,b   Yang, Hongdian ^a,c   Plenz, Dietmar ^a  

^a NATIONAL INSTITUTE OF MENTAL HEALTH   (United States)

^b KAROLINSKA INSTITUTE   (Sweden)

^c JOHNS HOPKINS UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADULT; ANALYTICAL PARAMETERS; ANIMAL EXPERIMENT; ARTICLE; BRAIN ELECTROPHYSIOLOGY; BRAIN FUNCTION; CLUSTER ANALYSIS; CLUSTER SIZE; CORTICAL ELECTRODE; CORTICAL NEURONAL AVALANCHE DYNAMICS; CORTICAL SYNCHRONIZATION; CUT OFF; FEMALE; LOCAL FIELD POTENTIAL; MALE; MICROELECTRODE; NEGATIVE DEFLECTION IN THE LOCAL FIELD POTENTIAL; NERVE CELL NETWORK; NONHUMAN; POWER LAW; PREFRONTAL CORTEX; PREMOTOR CORTEX; PROBABILITY; RHESUS MONKEY; SAMPLING; SPATIAL ANALYSIS; SPATIAL SUMMATION; SPATIOTEMPORAL ANALYSIS; SPIKE WAVE; STATISTICAL CONCEPTS; STATISTICAL DISTRIBUTION; WINDOW SIZE EFFECT; ANIMAL; BIOLOGICAL MODEL; BRAIN CORTEX; CYTOLOGY; ELECTROPHYSIOLOGY; METABOLISM; NERVE CELL; PHYSIOLOGY;

ANIMALS; CEREBRAL CORTEX; ELECTROPHYSIOLOGY; FEMALE; MACACA MULATTA; MALE; MODELS, NEUROLOGICAL; NEURONS;

EID: 84902824865     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0099761     Document Type: Article

References (54)

1. Beggs JM, Plenz D (2003) Neuronal Avalanches in Neocortical Circuits. J Neurosci 23: 11167-11177. (Pubitemid 37548953)
2. Ikegaya Y, Aaron G, Cossart R, Aronov D, Lampl I, et al. (2004) Synfire Chains and Cortical Songs: Temporal Modules of Cortical Activity. Science 304: 559-564. (Pubitemid 38541909)
3. Pasquale V, Massobrio P, Bologna LL, Chiappalone M, Martinoia S (2008) Selforganization and neuronal avalanches in networks of dissociated cortical neurons. Neuroscience 153: 1354-1369.
4. Freeman WJ, Barrie JM (2000) Analysis of spatial patterns of phase in neocortical gamma EEGs in rabbit. J Neurophysiol 84: 1266-1278.
5. Churchland MM, Cunningham JP, Kaufman MT, Foster JD, Nuyujukian P, et al. (2012) Neural population dynamics during reaching. Nature 487: 51-56.
6. Goard M, Dan Y (2009) Basal forebrain activation enhances cortical coding of natural scenes. Nat Neurosci 12: 1444-1449.
7. Naselaris T, Merchant H, Amirikian B, Georgopoulos AP (2005) Spatial reconstruction of trajectories of an array of recording microelectrodes. J Neurophysiol 93: 2318-2330. (Pubitemid 40404424)
8. Petermann T, Thiagarajan TC, Lebedev MA, Nicolelis MAL, Chialvo DR, et al. (2009) Spontaneous cortical activity in awake monkeys composed of neuronal avalanches. Proc Natl Acad Sci 106: 15921-15926.
9. Rubino D, Robbins KA, Hatsopoulos NG (2006) Propagating waves mediate information transfer in the motor cortex. Nat Neurosci 9: 1549-1557. (Pubitemid 44862664)
10. Thiagarajan TC, Lebedev MA, Nicolelis MA, Plenz D (2010) Coherence potentials: loss-less, all-or-none network events in the cortex. PLoS Biol 8: e1000278.
11. Vaadia E, Haalman I, Abeles M, Bergman H, Prut Y, et al. (1995) Dynamics of neuronal interactions in monkey cortex in relation to behavioural events. Nature 373: 515-518.
12. Velliste M, Perel S, Spalding MC, Whitford AS, Schwartz AB (2008) Cortical control of a prosthetic arm for self-feeding. Nature 453: 1098-1101. (Pubitemid 351871735)
13. Wessberg J, Stambaugh CR, Kralik JD, Beck PD, Laubach M, et al. (2000) Real-time prediction of hand trajectory by ensembles of cortical neurons in primates. Nature 408: 361-365.
14. Yu S, Huang D, Singer W, Nikolić D (2008) A small world of neuronal synchrony. Cereb Cortex 18: 2891-2901.
15. Ahrens MB, Orger MB, Robson DN, Li JM, Keller PJ (2013) Whole-brain functional imaging at cellular resolution using light-sheet microscopy. Nat Methods 10: 413-420.
16. Truccolo W, Hochberg LR, Donoghue JP (2010) Collective dynamics in human and monkey sensorimotor cortex: predicting single neuron spikes. Nat Neurosci 13: 105-111.
17. Yu S, Yang H, Nakahara H, Santos GS, Nikolić D, et al. (2011) Higher-order interactions characterized in cortical activity. J Neurosci 31: 17514-17526.
18. Palva JM, Zhigalov A, Hirvonen J, Korhonen O, Linkenkaer-Hansen K, et al. (2013) Neuronal long-range temporal correlations and avalanche dynamics are correlated with behavioral scaling laws. Proc Natl Acad Sci U S A 110: 3585-3590.
19. Ribeiro TL, Copelli M, Caixeta F, Belchior H, Chialvo DR, et al. (2010) Spike avalanches exhibit universal dynamics across the sleep-wake cycle. PLoS ONE 5: e14129.
20. Shriki O, Alstott J, Carver F, Holroyd T, Henson RNA, et al. (2013) Neuronal avalanches in the resting MEG of the human brain. J Neurosci 33: 7079-7090.
21. Tagliazucchi E, Balenzuela P, Fraiman D, Chialvo DR (2012) Criticality in large-scale brain fMRI dynamics unveiled by a novel point process analysis. Front Fractal Physiol 3: 15.
22. Kinouchi O, Copelli M (2006) Optimal dynamical range of excitable networks at criticality. Nat Phys 2: 348-351.
23. Larremore DB, Shew WL, Restrepo JG (2011) Predicting criticality and dynamic range in complex networks: effects of topology. Phys Rev Lett 106: 058101.
24. Shew WL, Yang H, Petermann T, Roy R, Plenz D (2009) Neuronal avalanches imply maximum dynamic range in cortical networks at criticality. J Neurosci 29: 15595-15600.
25. Shew WL, Yang H, Yu S, Roy R, Plenz D (2011) Information capacity and transmission are maximized in balanced cortical networks with neuronal avalanches. J Neurosci 31: 55-63.
26. Yang H, Shew WL, Roy R, Plenz D (2012) Maximal variability of phase synchrony in cortical networks with neuronal avalanches. J Neurosci: 1061-1072.
27. Larremore DB, Carpenter MY, Ott E, Restrepo JG (2012) Statistical properties of avalanches in networks. Phys Rev E 85: 066131.
28. Shew WL, Plenz D (2013) The functional benefits of criticality in the cortex. The Neuroscientist 19: 88-100.
29. de Arcangelis L, Herrmann HJ (2010) Learning as a phenomenon occurring in a critical state. Proc Natl Acad Sci 107: 3977-3981.
30. Dehghani N, Hatsopoulos NG, Haga ZD, Parker RA, Greger B, et al. (2012) Avalanche analysis from multielectrode ensemble recordings in cat, monkey, and human cerebral cortex during wakefulness and sleep. Front Physiol 3: 302.
31. Klaus A, Yu S, Plenz D (2011) Statistical analyses support power law distributions found in neuronal avalanches. PLoS ONE 6: e19779.
32. Yu S, Yang H, Shriki O, Plenz D (2013) Universal organization of resting brain activity at the thermodynamic critical point. Front Syst Neurosci 7: 42.
33. Clauset A, Shalizi CR, Newman MEJ (2009) Power-law distributions in empirical data. SIAM Rev 51: 661-703.
34. Newman M (2005) Power laws, Pareto distributions and Zipf's law. Contemp Phys 46: 323-351.
35. Burroughs SM, Tebbens SF (2001) Upper-truncated power laws in natural systems. Pure Appl Geophys 158: 741-757. (Pubitemid 32467990)
36. Langlois D, Cousineau D, Thivierge JP (2014) Maximum likelihood estimators for truncated and censored power-law distributions show how neuronal avalanches may be misevaluated. Phys Rev E 89: 012709.
37. Deluca A, Corral Á (2013) Fitting and goodness-of-fit test of non-truncated and truncated power-law distributions. Acta Geophys 61: 1351-1394.
38. Plenz D (2012) Neuronal avalanches and coherence potentials. Eur Phys J Spec Top 205: 259-301.
39. Hahn G, Petermann T, Havenith MN, Yu S, Singer W, et al. (2010) Neuronal avalanches in spontaneous activity in vivo. J Neurophysiol 104: 3312-3322.
40. Harris TE (1963) The Theory of Branching Processes (Grundlehren der mathematischen Wissenschaften). Springer.
41. Pajevic S, Plenz D (2009) Efficient network reconstruction from dynamical cascades identifies small-world topology of neuronal avalanches. PLoS Comput Biol 5: e1000271.
42. Levina A, Herrmann JM, Geisel T (2007) Dynamical synapses causing self-organized criticality in neural networks. Nat Phys 3: 857-860.
43. Millman D, Mihalas S, Kirkwood A, Niebur E (2010) Self-organized criticality occurs in non-conservative neuronal networks during 'up' states. Nat Phys 6: 801-805.
44. Bækgaard Lauritsen K, Zapperi S, Stanley HE (1996) Self-organized branching processes: Avalanche models with dissipation. Phys Rev E 54: 2483-2488. (Pubitemid 126589615)
45. Nauhaus I, Busse L, Carandini M, Ringach DL (2009) Stimulus contrast modulates functional connectivity in visual cortex. Nat Neurosci 12: 70-76.
46. Reimer A, Hubka P, Engel AK, Kral A (2011) Fast propagating waves within the rodent auditory cortex. Cereb Cortex N Y N 1991 21: 166-177.
47. Sato TK, Nauhaus I, Carandini M (2012) Traveling waves in visual cortex. Neuron 75: 218-229.
48. Xu W, Huang X, Takagaki K, Wu J (2007) Compression and reflection of visually evoked cortical waves. Neuron 55: 119-129. (Pubitemid 46990819)
49. Wu J-Y, Huang X, Zhang C (2008) Propagating waves of activity in the neocortex: what they are, what they do. The Neuroscientist 14: 487-502.
50. Goldman MS (2009) Memory without Feedback in a Neural Network. Neuron 61: 621-634.
51. Murphy BK, Miller KD (2009) Balanced amplification: a new mechanism of selective amplification of neural activity patterns. Neuron 61: 635-648.
52. Benayoun M, Cowan JD, van Drongelen W, Wallace E (2010) Avalanches in a stochastic model of spiking neurons. PLoS Comput Biol 6: e1000846.
53. Vincent K, Tauskela JS, Thivierge J-P (2012) Extracting functionally feedforward networks from a population of spiking neurons. Front Comput Neurosci 6: 86.
54. Stanley H (1999) Scaling, universality, and renormalization: Three pillars of modern critical phenomena. Rev Mod Phys 71: S358-S366.