Synaptic balance due to homeostatically self-organized quasicritical dynamics

Mauricio Girardi-Schappo, Ludmila Brochini, Ariadne A. Costa, Tawan T. A. Carvalho and Osame Kinouchi

Recent experiments suggested that a homeostatic regulation of synaptic balance leads the visual system to recover and maintain a regime of power-law avalanches. Here we study an excitatory/inhibitory (E/I) meanfield neuronal network that has a critical point with power-law avalanches and synaptic balance. When shortterm depression in inhibitory synapses and firing threshold adaptation are added, the system hovers around the critical point. This homeostatically self-organized quasicritical (SOqC) dynamics generates E/I synaptic current cancellation in fast timescales, causing fluctuation-driven asynchronous-irregular (AI) firing. We present the full phase diagram of the model without adaptation varying external input versus synaptic coupling. This system has a rich dynamical repertoire of spiking patterns: synchronous regular (SR), asynchronous regular (AR), synchronous irregular (SI), slow oscillations (SO), and AI. It also presents dynamic balance of synaptic currents, since inhibitory currents try and compensate excitatory currents over time, resulting in both of them scaling linearly with external input. Our model thus unifies two different perspectives on cortical spontaneous activity: both critical avalanches and fluctuation-driven AI firing arise from SOqC homeostatic adaptation and are indeed two sides of the same coin.

Comparison of EEG functional connectivity using correlation or information-theoretical measures

Arthur Valencio

Electroencephalography (EEG) is a primary tool for diagnostics and follow-up of neurological conditions. From EEG data, it is possible to obtain functional connectivity matrices, enabling the identification of associated brain areas during a task, hence supporting hypothesis for specific brain links. However, usually these matrices are built using correlation tools, which are not appropriate when characterizing nonlinear signals such as EEG. Hence, here we apply the same procedure using information theoretical measures (mutual information, transfer entropy and causal mutual information) and compare the results. For the test case applied, we show that both ways lead to similar links identified, however the information-theoretical measures provide the extra indicator of the direction to which the information flows.

Retrieving the structure of probabilistic sequences of auditory stimuli from EEG data

Noslen Hernández, Raymundo Machado de Azevedo Neto, Aline Duarte, Guilherme Ost, Ricardo Fraiman, Antonio Galves, Claudia D. Vargas

Using a new probabilistic approach we model the relationship between sequences of auditory stimuli generated by stochastic chains and the electroencephalographic (EEG) data acquired while participants are exposed to those stimuli. Herein, the structure of the chain generating the stimuli is characterized by a rooted and labeled tree whose branches, henceforth called contexts, represent the sequences of past stimuli governing the choice of the next stimulus. A classical conjecture claims that the brain assigns probabilistic models to samples of stimuli. If this is true, then the context tree generating the sequence of stimuli should be encoded in the brain activity. Using an innovative statistical procedure we show that this context tree can effectively be extracted from the EEG data, thus giving support to the classical conjecture.

Signatures of brain criticality unveiled by maximum entropy analysis across cortical states

Nastaran Lotfi, Antonio J. Fontenele, Thaís Feliciano, Leandro A. A. Aguiar, Nivaldo A. P. de Vasconcelos, Carina Soares-Cunha, Bárbara Coimbra, Ana João Rodrigues, Nuno Sousa, Mauro Copelli, Pedro V. Carelli

It has recently been reported that statistical signatures of brain criticality, obtained from distributions of neuronal avalanches, can depend on the cortical state. We revisit these claims with a completely different and independent approach, employing a maximum entropy model to test whether signatures of criticality appear in urethane-anesthetized rats. To account for the spontaneous variation of cortical state, we parse the time series and perform the maximum entropy analysis as a function of the variability of the population spiking activity. To compare data sets with different number of neurons, we define a normalized distance to criticality that takes into account the peak and width of the specific heat curve. We found an universal collapse of the normalized distance to criticality dependence on the cortical state on an animal by animal basis. This indicates a universal dynamics and a critical point at an intermediate value of spiking variability.

Boundary solution based on rescaling method: recoup the first and second-order statistics of neuron network dynamics

Cecilia Romaro, Antonio Carlos Roque, Jose Roberto Castilho Piqueira

There is a strong nexus between the network size and the computational resources available, which may impede a neuroscience study. In the meantime, rescaling the network while maintaining its behavior is not a trivial mission. Additionally, modeling patterns of connections under topographic organization presents an extra challenge: to solve the network boundaries or mingled with an unwished behavior. This behavior, for example, could be an inset oscillation due to the torus solution; or a blend with/of unbalanced neurons due to a lack (or overdose) of connections. We detail the network rescaling method able to sustain behavior statistical utilized in Romaro et al. (2018) and present a boundary solution method based on the previous statistics recoup idea.

NeuroCineMat
Featuring this week:
Newsletter

Stay informed on our latest news!



Previous issues

Podcast A Matemática do Cérebro
Podcast A Matemática do Cérebro
NeuroMat Brachial Plexus Injury Initiative
Logo of the NeuroMat Brachial Plexus Injury Initiative
Neuroscience Experiments System
Logo of the Neuroscience Experiments System
NeuroMat Parkinson Network
Logo of the NeuroMat Parkinson Network
NeuroMat's scientific-dissemination blog
Logo of the NeuroMat's scientific-dissemination blog