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Higher brain function relies upon the ability to flexibly integrate information across specialized communities of brain regions, however it is unclear how this mechanism manifests over time. In this study, we use time-resolved network…

The relation between spontaneous and stimulated brain activity is a fundamental question in neuroscience, which has received wide attention in experimental studies. Recently, it has been suggested that the evoked response to external…

Disordered Systems and Neural Networks · Physics 2023-06-16 M. K. Nandi , A. De Candia , A. Sarracino , H. J. Herrmann , L. de Arcangelis

We show that in a drive-response coupling framework extreme events are suppressed in the response system by the dominance of a single driving signal. We validate this approach across three distinct response network topologies, namely (i) a…

Chaotic Dynamics · Physics 2026-02-03 R. Shashangan , S. Sudharsan , Dibakar Ghosh , M. Senthilvelan

We examine a family of random firing-rate neural networks in which we enforce the neurobiological constraint of Dale's Law --- each neuron makes either excitatory or inhibitory connections onto its post-synaptic targets. We find that this…

Neurons and Cognition · Quantitative Biology 2016-09-27 Andrea K. Barreiro , J. Nathan Kutz , Eli Shlizerman

In a manner similar to the molecular chaos that underlies the stable thermodynamics of gases, neuronal system may exhibit microscopic instability in individual neuronal dynamics while a macroscopic order of the entire population possibly…

Neurons and Cognition · Quantitative Biology 2015-06-23 Yuzuru Yamanaka , Shun-ichi Amari , Shigeru Shinomoto

We investigate the dynamics of a network consisting of an array of identical cortical units with nearest neighbor interactions under periodic arousal. Each unit consists of two interconnected populations of neurons tuned to a state in which…

Neurons and Cognition · Quantitative Biology 2019-02-12 Leandro M. Alonso

In this paper we address the question of statistical model selection for a class of stochastic models of biological neural nets. Models in this class are systems of interacting chains with memory of variable length. Each chain describes the…

Statistics Theory · Mathematics 2018-12-19 A. Duarte , A. Galves , E. Löcherbach , G. Ost

The stability analysis of synchronization patterns on generalized network structures is of immense importance nowadays. In this article, we scrutinize the stability of intralayer synchronous state in temporal multilayer hypernetworks, where…

Chaotic Dynamics · Physics 2022-03-16 Md Sayeed Anwar , Sarbendu Rakshit , Dibakar Ghosh , Erik M. Bollt

We introduce an algorithm to do backpropagation on a spiking network. Our network is "spiking" in the sense that our neurons accumulate their activation into a potential over time, and only send out a signal (a "spike") when this potential…

Neural and Evolutionary Computing · Computer Science 2016-11-08 Peter O'Connor , Max Welling

Recent experiments suggest that inhibitory networks of interneurons can synchronize the neuronal discharge in in vitro hippocampal slices. Subsequent theoretical work has shown that strong synchronization by mutual inhibition is only…

Statistical Mechanics · Physics 2007-05-23 P. H. E Tiesinga , Jorge V Jose

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

Neurons and Cognition · Quantitative Biology 2020-12-02 Hui Wei

We analyze the collective dynamics of hierarchically structured networks of densely connected spiking neurons. These networks of sub-networks may represent interactions between cell assemblies or different nuclei in the brain. The dynamical…

Neurons and Cognition · Quantitative Biology 2018-09-14 Fereshteh Lagzi , Fatihcan M. Atay , Stefan Rotter

Neural networks with equal excitatory and inhibitory feedback show high computational performance. They operate close to a critical point characterized by the joint activation of large populations of neurons. Yet, in macaque motor cortex we…

Disordered Systems and Neural Networks · Physics 2019-08-13 David Dahmen , Sonja Grün , Markus Diesmann , Moritz Helias

Stylized models of the neurodynamics that underpin sensory motor control in animals are proposed and studied. The voluntary motions of animals are typically initiated by high level intentions created in the primary cortex through a…

Systems and Control · Electrical Eng. & Systems 2021-10-12 John Baillieul , Zexin Sun

The predictive power of neural networks often costs model interpretability. Several techniques have been developed for explaining model outputs in terms of input features; however, it is difficult to translate such interpretations into…

Machine Learning · Computer Science 2017-08-17 Benjamin J. Lengerich , Sandeep Konam , Eric P. Xing , Stephanie Rosenthal , Manuela Veloso

Mechanisms underlying the emergence of orientation selectivity in the primary visual cortex are highly debated. Here we study the contribution of inhibition-dominated random recurrent networks to orientation selectivity, and more generally…

Neurons and Cognition · Quantitative Biology 2014-06-03 Sadra Sadeh , Stefano Cardanobile , Stefan Rotter

Changes in an animal's behavioral state, such as arousal and movements, induce {complex modulations of the baseline input currents to sensory areas, eliciting sensory modality-specific effects. A simple computational principle explaining…

Neurons and Cognition · Quantitative Biology 2023-06-06 Shun Ogawa , Francesco Fumarola , Luca Mazzucato

The brain is characterized by a strong heterogeneity of inhibitory neurons. We report that spiking neural networks display a resonance to the heterogeneity of inhibitory neurons, with optimal input/output responsiveness occurring for levels…

Neurons and Cognition · Quantitative Biology 2021-09-30 Matteo di Volo , Alain Destexhe

Neural circuits are able to perform computations under very diverse conditions and requirements. The required computations impose clear constraints on their fine-tuning: a rapid and maximally informative response to stimuli in general…

Neurons and Cognition · Quantitative Biology 2019-10-22 Jens Wilting , Jonas Dehning , Joao Pinheiro Neto , Lucas Rudelt , Michael Wibral , Johannes Zierenberg , Viola Priesemann

In view of ever-changing conditions both in the external world and in intrinsic brain states, maintaining the robustness of computations poses a challenge, adequate solutions to which we are only beginning to understand. At the level of…

Neurons and Cognition · Quantitative Biology 2022-03-29 Nelson Niemeyer , Jan-Hendrik Schleimer , Susanne Schreiber
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