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Complex systems in the real world can be modeled as a network of connected components. The human brain, as a network of neurons among which the interactions cause perception, is a complex network. Synchronization is a dynamical phenomenon…

Biological Physics · Physics 2019-04-30 Arefeh Mazarei , Mohammad Amirian Matlob , Gholamhossein Riazi , Yousef Jamali

Recent experiments have highlighted how collective dynamics in networks of brain regions affect behavior and cognitive function. In this paper we show that a simple, homogeneous system of densely connected oscillators representing the…

Pattern Formation and Solitons · Physics 2013-05-31 Rajeev Singh , Shakti N. Menon , Sitabhra Sinha

Neural spikes in the brain form stochastic sequences, i.e., belong to the class of pulse noises. This stochasticity is a counterintuitive feature because extracting information - such as the commonly supposed neural information of mean…

Neural and Evolutionary Computing · Computer Science 2015-03-31 Laszlo B. Kish , Claes-Goran Granqvist , Sergey M. Bezrukov , Tamas Horvath

Spiking activity of neurons engaged in learning and performing a task show complex spatiotemporal dynamics. While the output of recurrent network models can learn to perform various tasks, the possible range of recurrent dynamics that…

Neurons and Cognition · Quantitative Biology 2018-08-21 Christopher Kim , Carson Chow

Neural signals are characterized by rich temporal and spatiotemporal dynamics that reflect the organization of cortical networks. Theoretical research has shown how neural networks can operate at different dynamic ranges that correspond to…

Neurons and Cognition · Quantitative Biology 2017-07-05 Luca Ambrogioni , Marcel A. J. van Gerven , Eric Maris

Objective: Brain is a fantastic organ that helps creature adapting to the environment. Network is the most essential structure of brain, but the capability of a simple network is still not very clear. In this study, we try to expound some…

Neurons and Cognition · Quantitative Biology 2019-11-05 Xiang Zou , Lie Yao , Donghua Zhao , Liang Chen , Ying Mao

This paper models the dynamics of a large set of interacting neurons within the framework of statistical field theory. We use a method initially developed in the context of statistical field theory [44] and later adapted to complex systems…

Neurons and Cognition · Quantitative Biology 2022-05-25 Pierre Gosselin , Aïleen Lotz , Marc Wambst

This chapter sheds light on the synaptic organization of the brain from the perspective of computational neuroscience. It provides an introductory overview on how to account for empirical data in mathematical models, implement such models…

Our mysterious brain is believed to operate near a non-equilibrium point and generate critical self-organized avalanches in neuronal activity. Recent experimental evidence has revealed significant heterogeneity in both synaptic input and…

Neurons and Cognition · Quantitative Biology 2018-07-12 Shengdun Wu , Yangsong Zhang , Yan Cui , Heng Li , Jiakang Wang , Lijun Guo , Yang Xia , Dezhong Yao , Peng Xu , Daqing Guo

The threshold voltage for action potential generation is a key regulator of neuronal signal transduction, yet the mechanism of its dynamic variation is still not well described. In this paper, we propose that threshold phenomena can be…

Neurons and Cognition · Quantitative Biology 2019-11-22 Longfei Wang , Hengtong Wang , Lianchun Yu , Yong Chen

The functioning of an organ such as the brain emerges from interactions between its constituent parts. Further, this interaction is not immutable in time but rather unfolds in a succession of patterns, thereby allowing the brain to adapt to…

Neurons and Cognition · Quantitative Biology 2021-06-02 Emmanuelle Tognoli , Daniela Benites , J. A. Scott Kelso

The highly variable dynamics of neocortical circuits observed in vivo have been hypothesized to represent a signature of ongoing stochastic inference but stand in apparent contrast to the deterministic response of neurons measured in vitro.…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Johannes Bill , Ilja Bytschok , Johannes Schemmel , Karlheinz Meier

Sensory perception originates from the responses of sensory neurons, which react to a collection of sensory signals linked to various physical attributes of a singular perceptual object. Unraveling how the brain extracts perceptual…

Neurons and Cognition · Quantitative Biology 2025-10-27 Zhichao Zhu , Yang Qi , Wenlian Lu , Jianfeng Feng

For complex life to evolve, a sophisticated nervous system for handling its complexities was fundamental. The demand resulted in the emergence of brain's computational facility, the neuronal network. This facet of the brain is attested…

Neurons and Cognition · Quantitative Biology 2019-09-16 Jahan N. Schad

The computational capabilities of a neural network are widely assumed to be determined by its static architecture. Here we challenge this view by establishing that a fixed neural structure can operate in fundamentally different…

Neural and Evolutionary Computing · Computer Science 2025-09-24 Xia Chen

Understanding the relationship between large-scale structural and functional brain networks remains a crucial issue in modern neuroscience. Recently, there has been growing interest in investigating the role of homeostatic plasticity…

Neurons and Cognition · Quantitative Biology 2018-10-25 Rodrigo P. Rocha , Loren Koçillari , Samir Suweis , Maurizio Corbetta , Amos Maritan

We utilize a model of Wilson-Cowan oscillators to investigate structure-function relationships in the human brain by means of simulations of the spontaneous dynamics of brain networks generated through human connectome data. This allows us…

Neurons and Cognition · Quantitative Biology 2023-06-14 Youssef Kora , Salma Salhi , Jörn Davidsen , Christoph Simon

Understanding the relationship between the dynamics of neural processes and the anatomical substrate of the brain is a central question in neuroscience. On the one hand, modern neuroimaging technologies, such as diffusion tensor imaging,…

Propagation of oscillatory signals through the cortex and coherence is shaped by the connectivity structure of neuronal circuits. This study systematically investigates the network and stimulus properties that shape network responses. The…

Neurons and Cognition · Quantitative Biology 2017-04-28 Hannah Bos , Jannis Schücker , Moritz Helias

Population-wide oscillations are ubiquitously observed in mesoscopic signals of cortical activity. In these network states a global oscillatory cycle modulates the propensity of neurons to fire. Synchronous activation of neurons has been…

Neurons and Cognition · Quantitative Biology 2017-07-04 Tobias Kühn , Moritz Helias