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We consider a sparse random network of excitatory leaky integrate-and-fire neurons with short-term synaptic depression. Furthermore to mimic the dynamics of a brain circuit in its first stages of development we introduce for each neuron…

Neurons and Cognition · Quantitative Biology 2017-03-14 S. Luccioli , A. Barzilai , E. Ben-Jacob , P. Bonifazi , A. Torcini

A wide range of networked systems exhibit highly connected nodes (hubs) as prominent structural elements. The functional roles of hubs in the collective nonlinear dynamics of many such networks, however, are not well understood. Here we…

Biological Physics · Physics 2014-03-26 Sven Jahnke , Raoul-Martin Memmesheimer , Marc Timme

An essential requirement for the representation of functional patterns in complex neural networks, such as the mammalian cerebral cortex, is the existence of stable network activations within a limited critical range. In this range, the…

Neurons and Cognition · Quantitative Biology 2008-02-19 Marcus Kaiser , Matthias Goerner , Claus C. Hilgetag

The large-scale structural ingredients of the brain and neural connectomes have been identified in recent years. These are, similar to the features found in many other real networks: the arrangement of brain regions into modules and the…

Neurons and Cognition · Quantitative Biology 2018-11-01 Gorka Zamora-López , Yuhan Chen , Gustavo Deco , Morten L. Kringelbach , Changsong Zhou

All higher order central nervous systems exhibit spontaneous neural activity, though the purpose and mechanistic origin of such activity remains poorly understood. We explore the ignition and spread of collective spontaneous…

Neurons and Cognition · Quantitative Biology 2010-04-14 Michael I. Ham , Vadas Gintautas , Guenter W. Gross

The analysis of the activity of neuronal cultures is considered to be a good proxy of the functional connectivity of in vivo neuronal tissues. Thus, the functional complex network inferred from activity patterns is a promising way to…

Neurons and Cognition · Quantitative Biology 2014-09-09 Sara Teller , Clara Granell , Manlio De Domenico , Jordi Soriano , Sergio Gomez , Alex Arenas

The detection of neuronal communities is addressed with basis on two important concepts from neuroscience: facilitation of neuronal firing and nearly simultaneous beginning of activation of sets of neurons. More specifically,…

Physics and Society · Physics 2008-01-29 Luciano da Fontoura Costa

We report the phenomenon of frequency clustering in a network of Hodgkin-Huxley neurons with spike timing-dependent plasticity. The clustering leads to a splitting of a neural population into a few groups synchronized at different…

Adaptation and Self-Organizing Systems · Physics 2019-12-20 Vera Röhr , Rico Berner , Ewandson L. Lameu , Oleksandr V. Popovych , Serhiy Yanchuk

The human structural connectome has a complex internal community organization, characterized by a high degree of overlap and related to functional and cognitive phenomena. We explored connectivity properties in connectome networks and…

Disordered Systems and Neural Networks · Physics 2025-02-24 V. Tiselko , O. Dogonasheva , A. Myshkin , O. Valba

Neurons process sensory stimuli efficiently, showing sparse yet highly variable ensemble spiking activity involving structured higher-order interactions. Notably, while neural populations are mostly silent, they occasionally exhibit highly…

Neurons and Cognition · Quantitative Biology 2025-07-17 Ulises Rodríguez-Domínguez , Hideaki Shimazaki

A rigorous understanding of brain dynamics and function requires a conceptual bridge between multiple levels of organization, including neural spiking and network-level population activity. Mounting evidence suggests that neural networks of…

Neurons and Cognition · Quantitative Biology 2016-10-11 Yahya Karimipanah , Zhengyu Ma , Ralf Wessel

Synaptic plasticity and neuron cross-talk are some of the important key mechanisms underlying formation of dynamic clusters of active neurons. The essence of this study is to model and decipher the mechanism of emergence of a task-specific…

Neurons and Cognition · Quantitative Biology 2021-08-03 Jasleen Gund , R. K. Brojen Singh

Despite the fact that the phenomenon of bursting activity is important for functioning of living neural networks, the mechanisms of its origin are still not clear. In this paper, we propose a new phenomenological model that can explain the…

Neurons and Cognition · Quantitative Biology 2023-03-01 Nikita Barabash , Tatiana Levanova , Sergey Stasenko

Recent experimental advances are producing an avalanche of data on both neural connectivity and neural activity. To take full advantage of these two emerging datasets we need a framework that links them, revealing how collective neural…

Neurons and Cognition · Quantitative Biology 2020-02-27 Gabriel Koch Ocker , Krešimir Josić , Eric Shea-Brown , Michael A. Buice

We report the emergent dynamics of a community structured modular network of chaotic Hindmarsh-Rose (HR) neurons with inhibitory synapses. We find the inhibitory coupling between the neuronal modules lead to complete synchronization of…

Chaotic Dynamics · Physics 2018-03-23 Kunal Mozumdar , G. Ambika

How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

Disordered Systems and Neural Networks · Physics 2020-03-11 Takashi Hayakawa , Tomoki Fukai

The collective dynamics of neural populations are often characterized in terms of correlations in the spike activity of different neurons. Open questions surround the basic nature of these correlations. In particular, what leads to…

Neurons and Cognition · Quantitative Biology 2013-06-25 David Leen , Eric Shea-Brown

Functional connectivity is a fundamental property of neural networks that quantifies the segregation and integration of information between cortical areas. Due to mathematical complexity, a theory that could explain how the parameters of…

Neurons and Cognition · Quantitative Biology 2016-05-27 Diego Fasoli , Anna Cattani , Stefano Panzeri

The co-occurrence of action potentials of pairs of neurons within short time intervals is known since long. Such synchronous events can appear time-locked to the behavior of an animal and also theoretical considerations argue for a…

Neurons and Cognition · Quantitative Biology 2022-05-17 Moritz Helias , Tom Tetzlaff , Markus Diesmann

An essential step toward understanding neural circuits is linking their structure and their dynamics. In general, this relationship can be almost arbitrarily complex. Recent theoretical work has, however, begun to identify some broad…

Neurons and Cognition · Quantitative Biology 2017-03-10 Gabriel Koch Ocker , Yu Hu , Michael A. Buice , Brent Doiron , Krešimir Josić , Robert Rosenbaum , Eric Shea-Brown
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