Scaling of avalanche shape and activity power spectrum in neuronal networks

Nandi, Manoj Kumar; Sarracino, Alessandro; Herrmann, Hans J.; Arcangelis, L. de

doi:10.1103/physreve.106.024304

Cited by 14 publications

(21 citation statements)

References 58 publications

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“…We here newly observed that the ongoing spontaneous synaptic activity, including RP, showed one signature of SOC: 1/f fluctuation. The relation S(f )∼f −γ [30] was closely satisfied (Fig. 1f, Fig.…”

Section: Resultssupporting

confidence: 53%

“…Power-law fitting of the size and duration for the histogram was performed (Fig. 1de), and the predictions of the scaling theory [4,26,30] were examined (Fig. 1f).…”

Section: Resultsmentioning

confidence: 99%

“…The crackling noise relation [4,26] is satisfied when the two exponents of size and duration of avalanches, α and τ , satisfy (τ − 1)/(α − 1) = γ, where γ is the slope of the log-log plot of the size and duration of the synaptic activity, and the exponent of the spectrum density S(f ) [30]. In our system, the crayfish brain, self-organization can be examined by robust achievements of the critical states against individual differences from identifiable neurons with natural variations of dendritic branching structures.…”

Section: Introductionmentioning

confidence: 99%

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Self-organized criticality for dendritic readiness potential

Kagaya¹,

Kubota²,

Nakajima³

2022

Preprint

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Self-organized criticality is a principle explaining avalanche-like phenomena obeying power-laws in integrate-and-fire type dynamical systems [1][2][3][4]. Here, we demonstrate that the behaviorally relevant brain neurons, mediating voluntary and reflexive behaviors in crayfish [5-10], show signatures of self-organized criticality. The dendritic activities are into the critical states following power-laws; characterized by scaling functions within neurons; but mapped to the common scaling relation across individuals. The relation is in line with the extracellular neuronal avalanches in vertebrate species [11][12][13][14][15][16][17] which have provided evidence of the critical brain hypothesis [16]. Our intracellular data extend the universality of the hypothesis. In particular, it indicates that the pre-movement buildup activity before the voluntary behavioral onset "from crayfish to human" [18], readiness potential, is shaped by the avalanches. The nervous systems can exploit the universal dynamics for volition across the phylogenetic tree.

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Section: Resultssupporting

confidence: 53%

“…Power-law fitting of the size and duration for the histogram was performed (Fig. 1de), and the predictions of the scaling theory [4,26,30] were examined (Fig. 1f).…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Self-organized criticality for dendritic readiness potential

Kagaya¹,

Kubota²,

Nakajima³

2022

Preprint

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“…This may be suggestive of the networks exhibiting high levels of excitation not well balanced by inhibition: activity at the start of an avalanche setting off a sudden cascade that overwhelms the network and quickly dies off as much of the system becomes refractory. Nandi et al (2022) observed a similar connection between avalanche shape and E/I ratio in their simulations of avalanche shape behavior; however, in their study, the observed an increasingly rightward skew as the ratio of inhibitory neurons in the population was increased, with no leftward skew in the case of pure excitation. This evidence of high levels of excitation in our networks is also in line with our previous finding that in vitro networks can be pushed toward criticality by chemically manipulating the E/I ratio (Heiney et al, 2019), despite this effect not being reproduced to the same degree in the present study (see Figure 4).…”

Section: Discussionmentioning

confidence: 65%

Neuronal avalanche dynamics and functional connectivity elucidate information propagation in vitro

Heiney

Ramstad²,

Fiskum³

et al. 2022

Front. Neural Circuits

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Cascading activity is commonly observed in complex dynamical systems, including networks of biological neurons, and how these cascades spread through the system is reliant on how the elements of the system are connected and organized. In this work, we studied networks of neurons as they matured over 50 days in vitro and evaluated both their dynamics and their functional connectivity structures by observing their electrophysiological activity using microelectrode array recordings. Correlations were obtained between features of their activity propagation and functional connectivity characteristics to elucidate the interplay between dynamics and structure. The results indicate that in vitro networks maintain a slightly subcritical state by striking a balance between integration and segregation. Our work demonstrates the complementarity of these two approaches—functional connectivity and avalanche dynamics—in studying information propagation in neurons in vitro, which can in turn inform the design and optimization of engineered computational substrates.

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“…semi-circle and saw-tooth like 23,24 . In contrast, for avalanches that unfold according to a critical branching process, a close approximation for synchronized cascades 7,25 , χ = 2 and avalanche profiles are parabolic 11,20–22 , similar to what can be found close to 2 nd order phase transitions that fall into the directed percolation universality class 26 (see also 27 ). This relationship has recently been shown for LFP-based avalanches in nonhuman primates 28 , which suggests that avalanches describe rapid, scale-invariant unfolding of neuronal synchronization.…”

Section: Introductionmentioning

confidence: 64%

Parabolic avalanche scaling in the synchronization of cortical cell assemblies

Capek

Ribeiro

Kells³

et al. 2022

Preprint

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Neurons in cortex synchronize their spiking in response to local and distant inputs. These synchronized assemblies are fundamental to cortex function, yet basic dynamical aspects about their size and duration are largely unknown. Using 2-photon imaging of neurons in superficial cortex of awake mice, we show that synchronized assemblies organize as scale-invariant avalanches that quadratically grow with duration. This quadratic expansion was found only for correlated neurons and required temporal coarse graining to compensate for spatial subsampling when network dynamics are critical, as demonstrated in simulations. The corresponding time course of an inverted parabola with an exponent of 2 described avalanches of up to 5 s duration and maximized temporal complexity in the ongoing activity of prefrontal and somatosensory cortex and in visual responses of primary visual cortex. Our results identify a scale-invariant order in the synchronization of highly diverse cortical cell assemblies in the form of parabolic avalanches.

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Scaling of avalanche shape and activity power spectrum in neuronal networks

Cited by 14 publications

References 58 publications

Self-organized criticality for dendritic readiness potential

Self-organized criticality for dendritic readiness potential

Neuronal avalanche dynamics and functional connectivity elucidate information propagation in vitro

Parabolic avalanche scaling in the synchronization of cortical cell assemblies

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