Synaptic plasticity and neuronal refractory time cause scaling behaviour of neuronal avalanches

Scientific Reports

Volumn 6, Issue , 2016, Pages

  Michiels Van Kessenich, L ^a   De Arcangelis, L ^b,c   Herrmann, H J ^a  

^a ETH ZURICH   (Switzerland)

^b SECOND UNIVERSITY OF NAPLES   (Italy)

^c INFN SEZIONE DI NAPOLI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

AVALANCHE; BEHAVIOR; NERVE CELL NETWORK; NERVE CELL PLASTICITY; ACTION POTENTIAL; BIOLOGICAL MODEL; NERVE CELL; PHYSIOLOGY;

ACTION POTENTIALS; MODELS, NEUROLOGICAL; NEURONAL PLASTICITY; NEURONS;

EID: 84983329235     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep32071     Document Type: Article

References (39)

1. Plenz, D. & Niebur, E. Criticality in neural systems (Wiley Weinheim, 2014).
2. Beggs, J. M. & Plenz, D. Neuronal avalanches in neocortical circuits. The Journal of neuroscience 23, 11167-11177 (2003).
3. Beggs, J. M. & Plenz, D. Neuronal avalanches are diverse and precise activity patterns that are stable for many hours in cortical slice cultures. The Journal of neuroscience 24, 5216-5229 (2004).
4. Plenz, D. & Thiagarajan, T. C. The organizing principles of neuronal avalanches: cell assemblies in the cortex? Trends in neurosciences 30, 101-110 (2007).
5. Shriki, O. et al. Neuronal avalanches in the resting meg of the human brain. The journal of Neuroscience 33, 7079-7090 (2013).
6. Pasquale, V., Massobrio, P., Bologna, L., Chiappalone, M. & Martinoia, S. Self-organization and neuronal avalanches in networks of dissociated cortical neurons. Neuroscience 153, 1354-1369 (2008).
7. Mazzoni, A. et al. On the dynamics of the spontaneous activity in neuronal networks. Plos one 2, e439 (2007).
8. Petermann, T. et al. Spontaneous cortical activity in awake monkeys composed of neuronal avalanches. Proceedings of the National Academy of Sciences 106, 15921-15926 (2009).
9. Gireesh, E. D. & Plenz, D. Neuronal avalanches organize as nested theta-And beta/gamma-oscillations during development of cortical layer 2/3. Proceedings of the National Academy of Sciences 105, 7576-7581 (2008).
10. Zapperi, S., Lauritsen, K. B. & Stanley, H. E. Self-organized branching processes: mean-field theory for avalanches. Physical review letters 75, 4071 (1995).
11. de Arcangelis, L., Perrone-Capano, C. & Herrmann, H. J. Self-organized criticality model for brain plasticity. Physical review letters 96, 028107 (2006).
12. Levina, A., Herrmann, J. M. & Geisel, T. Dynamical synapses causing self-organized criticality in neural networks. Nature physics 3, 857-860 (2007).
13. Bak, P., Tang, C. & Wiesenfeld, K. Self-organized criticality: An explanation of the 1/f noise. Physical review letters 59, 381 (1987).
14. Pruessner, G. Self-organised criticality: Theory, models and characterisation (Cambridge University Press, 2012).
15. de Arcangelis, L., Lombardi, F. & Herrmann, H. Criticality in the brain. Journal of Statistical Mechanics: Theory and Experiment 2014, P03026 (2014).
16. Lombardi, F., Herrmann, H., Perrone-Capano, C., Plenz, D. & De Arcangelis, L. Balance between excitation and inhibition controls the temporal organization of neuronal avalanches. Physical review letters 108, 228703 (2012).
17. Lombardi, F., Herrmann, H., Plenz, D. & De Arcangelis, L. On the temporal organization of neuronal avalanches. Frontiers in System Neuroscience 8, 204 (2014).
18. Pajevic, S. & Plenz, D. Efficient network reconstruction from dynamical cascades identifies small-world topology of neuronal avalanches. Plos Comput Biol 5, e1000271 (2009).
19. Massobrio, P., Pasquale, V. & Martinoia, S. Self-organized criticality in cortical assemblies occurs in concurrent scale-free and smallworld networks. Scientific reports 5 (2015).
20. Shefi, O., Golding, I., Segev, R., Ben-Jacob, E. & Ayali, A. Morphological characterization of in vitro neuronal networks. Physical Review E 66, 021905 (2002).
21. Gallos, L., Makse, H. & Sigman, M. A small-world of weak ties provides optimal global integration of self-similar modules in functional brain networks. PNAS 109, 2825-2830 (2012).
22. Eguiluz, V., Chialvo, D., Cecchi, D., Baliki, M. & Apkarian, A. Scale-free brain functional networks. Physical review letters 94, 018102 (2005).
23. Watts, D. J. & Strogatz, S. H. Collective dynamics of small-world networks. nature 393, 440-442 (1998).
24. De Arcangelis, L. & Herrmann, H. J. Activity-dependent neuronal model on complex networks. Frontiers in physiology 3 (2012).
25. Moosavi, S. A. & Montakhab, A. Mean-field behavior as a result of noisy local dynamics in self-organized criticality: Neuroscience implications. Physical Review E 89, 052139 (2014).
26. Moosavi, S. A. & Montakhab, A. Structural versus dynamical origins of mean-field behavior in a self-organized critical model of neuronal avalanches. Physical Review E 92, 052804 (2015).
27. Zhang, Y.-C. Scaling theory of self-organized criticality. Physical Review Letters 63, 470 (1989).
28. Nicholls, J. G., Martin, A. R., Wallace, B. G. & Fuchs, P. A. From neuron to brain vol. 271 (Sinauer Associates Sunderland, MA, 2001).
29. Hebb, D. O. The organization of behavior: A neuropsychological approach (John Wiley & Sons, 1949).
30. Roth-Nebelsick, A., Uhl, D., Mosbrugger, V. & Kerp, H. Evolution and function of leaf venation architecture: A review. Annals of Botany 87, 553-566 (2001).
31. Schaffer, C. B. et al. Two-photon imaging of cortical surface microvessels reveals a robust redistribution in blood flow after vascular occlusion. Plos Biol 4, e22 (2006).
32. Katifori, E., Szöllösi, G. J. & Magnasco, M. O. Damage and fluctuations induce loops in optimal transport networks. Physical Review Letters 104, 048704 (2010).
33. Corson, F. Fluctuations and redundancy in optimal transport networks. Physical Review Letters 104, 048703 (2010).
34. Johnson, D. B. Finding all the elementary circuits of a directed graph. SIAM Journal on Computing 4, 77-84 (1975).
35. Löbeck, S. Large-scale simulations of the zhang sandpile model. Physical Review E 56, 1590 (1997).
36. Clauset, A., Shalizi, C. R. & Newman, M. E. Power-law distributions in empirical data. SIAM review 51, 661-703 (2009).
37. De Carvalho, J. X. & Prado, C. P. Self-organized criticality in the olami-feder-christensen model. Physical review letters 84, 4006 (2000).
38. Wilson, D. B. Generating random spanning trees more quickly than the cover time. In Proceedings of the twenty-eighth annual ACM symposium on Theory of computing 296-303 (ACM, 1996).
39. Kozloski, J. & Cecchi, G. A. A theory of loop formation and elimination by spike timing-dependent plasticity. Frontiers in neural circuits 4, 7 (2010).