Self-organized criticality in developing neuronal networks

PLoS Computational Biology

Volumn 6, Issue 12, 2010, Pages

  Tetzlaff, Christian ^a   Okujeni, Samora ^b   Egert, Ulrich ^b   Wörgötter, Florentin ^a   Butz, Markus ^c  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b UNIVERSITY OF FREIBURG   (Germany)

^c VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICALITY (NUCLEAR FISSION); NEURAL NETWORKS; NEURONS; PHYSIOLOGICAL MODELS;

CORTICAL CELLS; EPILEPTIFORM PATTERNS; IN-VITRO; INFORMATION FLOWS; NETWORK MODELS; NEURAL-NETWORKS; NEURONAL NETWORKS; SELF-ORGANIZED CRITICALITY; SUPERCRITICAL; TEMPORAL SCALE;

CELL CULTURE;

ANIMAL CELL; ARTICLE; CELL ACTIVITY; CONTROLLED STUDY; HOMEOSTASIS; IN VITRO STUDY; IN VIVO STUDY; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; NEGATIVE FEEDBACK; NERVE CELL CULTURE; NERVE CELL DIFFERENTIATION; NERVE CELL INHIBITION; NERVE CELL MEMBRANE POTENTIAL; NERVE CELL NETWORK; NERVE CELL STIMULATION; NERVE FIBER GROWTH; NEWBORN; NONHUMAN; RAT; SYNAPTIC TRANSMISSION; ACTION POTENTIAL; ALGORITHM; ANALYSIS OF VARIANCE; ANIMAL; BIOLOGICAL MODEL; BIOLOGY; BRAIN CORTEX; CYTOLOGY; DENDRITE; GROWTH, DEVELOPMENT AND AGING; NERVE CELL; NEURITE; PHYSIOLOGY; SYNAPSE; WISTAR RAT;

ACTION POTENTIALS; ALGORITHMS; ANALYSIS OF VARIANCE; ANIMALS; CEREBRAL CORTEX; COMPUTATIONAL BIOLOGY; DENDRITES; HOMEOSTASIS; MODELS, NEUROLOGICAL; NERVE NET; NEURITES; NEURONS; RATS; RATS, WISTAR; SYNAPSES;

EID: 78651233302     PISSN: 1553734X     EISSN: 15537358     Source Type: Journal    
DOI: 10.1371/journal.pcbi.1001013     Document Type: Article

References (73)

1. Beggs J, Plenz D (2003) Neuronal avalanches in neocortical circuits. J Neurosci 23(35): 11167-11177.
2. Chialvo D (2004) Critical brain networks. Physica A 340: 756-765.
3. Plenz D, Thiagarajan T (2007) The organizing principles of neuronal avalanches: Cell assemblies in the cortex. Trends Neurosci 30: 101-110.
4. Gutenberg B, Richter C (1956) Seismicity of the earth. Princeton: Princeton University Press. 273 p.
5. Harris T (1989) The theory of branching processes. New York: Dover Publications. 230 p.
6. Bak P, Tang C, Wiesenfeld K (1987) Self-organized criticality: An explanation of 1/f noise. Phys Rev Lett 59: 381-384.
7. Newman M (2005) Power laws, pareto distributions and zipf's law. Contemp Phys 46: 323-351.
8. Paczuski M, Maslov S, Bak P (1996) Avalanche dynamics in evolution, growth and depinning models. Phys Rev E 53: 414-443.
9. Bak P, Tang C, Wiesenfeld K (1988) Self-organized criticality. Phys Rev A 38: 364-374.
10. Abbott L, Rohrkemper R (2007) A single growth model constructs critical avalanche networks. Prog Brain Res 165: 9-13.
11. Chen DM, Wu S, Guo A, Yang Z (1995) Self-organized criticality in a cellular automaton model of pulse-coupled integrate-and-fire neurons. J Physiol A Math Gen 28: 5177-5182.
12. Corral A, Perez C, Diaz-Guilera A, A A (1995) Self-organized criticality and synchronization in a lattice model of integrate-and-fire oscillators. Phys Rev Lett 74: 118-121.
13. Eurich C, Herrmann J, Ernst U (2002) Finite-size effects of avalanche dynamics. Phys Rev E 66: 066137.
14. Stassinopoulos D, Bak P (1995) Democratic reinforcement: A principle for brain function. Phys Rev E 51: 5033-5039.
15. Beggs J, Plenz D (2004) Neuronal avalanches are diverse and precise activity patterns that are stable for many hours in cortical slice cultures. J Neurosci 24: 5216-5229.
16. Mazzoni A, Broccard F, Garcia-Perez E, Bonifazi P, Ruaro M, et al. (2007) On the dynamics of the spontaneous activity in neuronal networks. PLoS ONE 2(5): e439. doi:10.1371/journal.pone.0000439.
17. Pasquale V, Massobrio P, Bologna L, Chiappalone M, Martinoia S (2008) Selforganization and neuronal avalanches in networks of dissociated cortical neurons. Neuroscience doi:10.1016/j.neuroscience.2008.03.050.
18. Levina A, Herrmann J, Geisel T (2007) Dynamical synapses causing selforganized criticality in neural networks. Nat Phys 3: 857-860.
19. Bornholdt S, Röhl T (2003) Self-organized critical neural networks. Phys Rev E 67: 066118.
20. T (2009) Self-organized criticality in a realtistic model of adaptive neural networks arXiv: 0903.2987v1.
21. Stewart C, Plenz D (2008) Homeostasis of neuronal avalanches during postnatal cortex development in vitro. J Neurosci Methods 169: 405-416.
22. Gürel T, Egert U, Kandler S, De Raedt L, Rotter S (2007) Predicting spike activity in neuronal cultures. In: IEEE International Joint Conference on Neural Networks. pp 2942-2947.
23. Dammasch IE, Wagner GP, Wolff JR (1986) Self-stabilization of neuronal networks. i. the compensation algorithm for synaptogenesis. Biol Cybern 54: 211-222.
24. Van Ooyen A, Van Pelt J (1994) Activity-dependent outgrowth of neurons and overshoot phenomena in developing neural networks. J Theor Biol 167: 27-43.
25. Van Ooyen A, Van Pelt J, Corner M (1995) Implications of activity-dependent neurite outgrowth for neuronal morphology and network development. J Theor Biol 172: 63-82.
26. Butz M, Teuchert-Noodt G, Grafen K, Van Ooyen A (2008) Inverse relationship between adult hippocampal cell proliferation and synaptic rewiring in the dentate gyrus. Hippocampus 18(9): 879-898.
27. Butz M, Van Ooyen A, Wörgötter F (2009) A model for cortical rewiring following deafferentation and focal stroke. Front Comp Neurosci 3: 10.
28. Helias M, Rotter S, Gewaltig MO, Diesmann M (2008) Structural plasticity controlled by calcium based correlation detection. Front Comp Neurosci 10.3389: 1-21.
29. Pospischil M, Piwkowska Z, Bal T, Destexhe A (2009) Characterizing neuronal activity by describing the membrane potential as a stochastic process. J Physiol Paris 1-2: 98-106.
30. Chen B, Boukamel K, Kao J, Roerig B (2005) Spatial distribution of inhibitory synaptic connections during development of ferret primary visual cortex. Exp Brain Res 160: 496-509.
31. Magnusson AK, Kapfer C, Grothe B, Koch U (2005) Maturation of glycinergic inhibition in the gerbil medial superior olive after hearing onset. J Physiol (Lond) 568: 497-512.
32. 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.
33. Lauritsen K, Zapperi S, Stanley H (1996) Self-organized branching process: Avalanche models with dissipation. Phys Rev E 54: 2483-2488.
34. Egert U, Schrenk K, Kapfhammer J, Metzger F (2000) Electrophysiological characterization of long and short-term drug effects in acute slices and organotypic cultures of the cerebellum. In: Eur J Neurosci 12: 141.
35. Metzger F, Kapfhammer J (2000) Protein kinase c activity modulates dendritic differentiation of rat purkinje cells in cerebellar slice cultures. Eur J Neurosci 12: 1993-2005.
36. Okujeni S, Kandler S, Egert U (2008) Homeostatic regulation of activity in cortical networks. In: Proc. 6th Int. Meeting on Substrate-Integrated Microelectrodes. pp 74-75.
37. Van Huizen F, Romijn H, Habets A (1985) Synaptogenesis in rat cerebral cortex cultures is affected during chronic blockade of spontaneous bioelectric activity by tetrodotoxin. Brain Res 19: 67-80.
38. Habets AM, Van Dongen AM, Van Huizen F, Corner MA (1987) Spontaneous neuronal firing patterns in fetal rat cortical networks during development in vitro: a quantitative analysis. Exp Brain Res 69: 43-52.
39. Muramoto K, Ichikawa M, Kawahara M, Kobayashi K, Kuroda Y (1993) Frequency of synchronous oscillations of neuronal activity increases during development and is correlated to the number of synapses in cultured cortical neuron networks. Neurosci Lett 163: 163-165.
40. Corner M, Ramakers G (1992) Spontaneous firing as an epigenetic factor in brain development: Physiological consequences of chronic tetrodotoxin and picrotoxin exposure on cultured rat neocortex neurons. Brain Res 65: 57-64.
41. Nakanishi K, Kukita F (1998) Functional synapses in synchronized bursting of neocortical neurons in culture. Brain Res 795: 137-146.
42. Kamioka H, Maeda E, Jimbo Y, Robinson HP, Kawana A (1996) Spontaneous periodic synchronized bursting during formation of mature patterns of connections in cortical cultures. Neurosci Lett 206: 109-112.
43. Van Huizen F, Romijn H, Habets A, Van den Hooff P (1987) Accelerated neural network formation in rat cerebral cortex cultures chronically disinhibited with picrotoxin. Experimental Neurology 97: 280-288.
44. Mattson M (1988) Neurotransmitters in the regulation of neuronal cytoarchitecture. Brain Res 13: 179-212.
45. Lipton S, Kater S (1989) Neurotransmitter regulation of neuronal outgrowth, plasticity and survival. Trends Neurosci 12: 265-270.
46. van den Pol AN, Strecker GJ, Dudek FE (1996) Excitatory and inhibitory amino acids and synaptic transmission in the suprachiasmatic nucleus. Prog Brain Res 111: 41-56.
47. Ganguly K, Schinder A, Wong S, Poo MM (2001) Gaba itself promotes the developmental switch of neuronal gabaergic responses from excitation to inhibition. Cell 105: 521-532.
48. Jiang B, Huang Z, Morales B, Kirkwood A (2005) Maturation of gabaergic transmission and the timing of plasticity in visual cortex. Brain Res Rev 50: 126-133.
49. Kobayashi M, Hamada T, Kogo M, Yanagawa Y, Obata K, et al. (2008) Developmental profile of gabaa-mediated synaptic transmission in pyramidal cells of the somatosensory cortex. Eur J Neurosci 28: 849-861.
50. Wolff J, Wagner G (1983) Selforganization in synaptogenesis: interaction between the formation of excitatory and inhibitory synapses. In: Synergetics of the brain Springer. pp 50-59.
51. Turrigiano GG, Nelson SB (2004) Homeostatic plasticity in the developing nervous system. Nat Rev Neurosci 5: 97-107.
52. Pratt KG, Watt AJ, Griffith LC, Nelson SB, Turrigiano GG (2003) Activitydependent remodeling of presynaptic inputs by postsynaptic expression of activated camkii. Neuron 39: 269-281.
53. Kirov SA, Harris KM (1999) Dendrites are more spiny on mature hippocampal neurons when synapses are inactivated. Nat Neurosci 2: 878-883.
54. Kirov SA, Goddard CA, Harris KM (2004) Age-dependence in the homeostatic upregulation of hippocampal dendritic spine number during blocked synaptic transmission. Neuropharmacology 47: 640-648.
55. Rekart JL, Sandoval CJ, Routtenberg A (2007) Learning-induced axonal remodeling: evolutionary divergence and conservation of two components of the mossy fiber system within rodentia. Neurobiol Learn Mem 87: 225-235.
56. Hutchins BI, Kalil K (2008) Differential outgrowth of axons and their branches is regulated by localized calcium transients. J Neurosci 28: 143-153.
57. Mattson MP, Kater SB (1987) Calcium regulation of neurite elongation and growth cone motility. J Neurosci 7: 4034-4043.
58. Kater SB, Mattson MP, Cohan C, Connor J (1988) Calcium regulation of the neuronal growth cone. Trends Neurosci 11: 315-321.
59. Kater SB, Mattson MP, Guthrie PB (1989) Calcium-induced neuronal degeneration: a normal growth cone regulating signal gone awry (?). Ann N Y Acad Sci 568: 252-261.
60. Korkotian E, Segal M (2007) Morphological constraints on calcium dependent glutamate receptor trafficking into individual dendritic spine. Cell Calcium 42: 41-57.
61. Stett A, Egert U, Guenther E, Hofmann F, Meyer T, et al. (2003) Biological application of microelectrode arrays in drug discovery and basic research. Anal Bioanal Chem 377: 486-495.
62. Zapperi S, Lauritsen K, Stanley H (1995) Self-organized branching processes: Mean-field theory for avalanches. Phys Rev Lett 75: 4071-4074.
63. Shahaf G, Marom S (2001) Learning in networks of cortical neurons. J Neurosci 21(22): 8782-8788.
64. Marom S, Shahaf G (2002) Development, learning and memory in large random networks of cortical neurons: lessons beyond anatomy. Q Rev Biophys 35: 63-87.
65. Egert U, Knott T, Schwarz C, Nawrot M, Brandt A, et al. (2002) Mea-tools: an open source toolbox for the analysis of multi-electrode data with matlab. J Neurosci Methods 117: 33-42.
66. Soussou W, Yoon G, Brinton R, Berger T (2007) Neuronal network morphology and electrophysiology of hippocampal neurons cultured on surface-treated multielectrode arrays. IEEE Trans Biomed Eng 54: 1309-1320.
67. Corral A, Telesca L, Lasaponara R (2008) Scaling and correlations in the dynamics of forest-fire occurence. Phys Rev E 77: 016101.
68. Lowen SB, Teich MC (1996) The periodogram and allan variance reveal fractal exponents greater than unity in auditory-nerve spike trains. J Acoust Soc Am 99: 3585-3591.
69. Lowen S, Ozaki T, Kaplan E, Saleh B, Teich M (2001) Fractal features of dark, maintained, and driven neural discharges in the cat visual system. Methods 24: 377-394.
70. García-Marín A, Jiménez-Hornero F, Ayuso J (2008) Applying multifractality and the self-organized criticality theory to describe the temporal rainfall regimes in Andalusia (southern Spain). Hydrol Process 22: 295-308.
71. Van Ooyen A, ed. (2003) Modeling Neural Development. Cambridge: MIT Press. 336 p.
72. Butz M, Wörgötter F, Van Ooyen A (2009) Activity-dependent structural plasticity. Brain Res Rev 60: 287-305.
73. Butz M, Lehmann K, Dammasch I, Teuchert-Noodt G (2006) A theoretical network model to analyse neurogenesis and synaptogenesis in the dentate gyrus. Neural Netw 19: 1490-1505.