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The dynamics of local cortical networks are irregular, but correlated. Dynamic excitatory--inhibitory balance is a plausible mechanism that generates such irregular activity, but it remains unclear how balance is achieved and maintained in…

Neurons and Cognition · Quantitative Biology 2020-04-28 Alan Eric Akil , Robert Rosenbaum , Krešimir Josić

Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and…

Many networks of physical and biological interest are characterized by a long-range coupling mediated by a chemical which diffuses through a medium in which oscillators are embedded. We considered a one-dimensional model for this effect for…

Network control theory has recently emerged as a promising approach for understanding brain function and dynamics. By operationalizing notions of control theory for brain networks, it offers a fundamental explanation for how brain dynamics…

Quantitative Methods · Quantitative Biology 2020-03-20 Shikuang Deng , Shi Gu

The synaptic connectivity of cortex is plastic, with experience shaping the ongoing interactions between neurons. Theoretical studies of spike timing-dependent plasticity (STDP) have focused on either just pairs of neurons or large-scale…

Neurons and Cognition · Quantitative Biology 2016-08-02 Gabriel Koch Ocker , Brent Doiron

The human brain displays rich communication dynamics that are thought to be particularly well-reflected in its marked community structure. Yet, the precise relationship between community structure in structural brain networks and the…

Neurons and Cognition · Quantitative Biology 2020-12-23 Shubhankar P. Patankar , Jason Z. Kim , Fabio Pasqualetti , Danielle S. Bassett

In this work we investigate time varying networks with complex dynamics at the nodes. We consider two scenarios of network change in an interval of time: first, we have the case where each link can change with probability pt, i.e. the…

Adaptation and Self-Organizing Systems · Physics 2014-04-14 Ankit Kumar , Vidit Agrawal , Sudeshna Sinha

Complex networks are used to depict topological features of complex systems. The structure of a network characterizes the interactions among elements of the system, and facilitates the study of many dynamical processes taking place on it.…

Physics and Society · Physics 2012-06-22 Yan Zhang , Lin Wang , Yi-Qing Zhang , Xiang Li

Intrinsic brain activity is characterized by highly structured co-activations between different regions, whose origin is still under debate. In this paper, we address the question whether it is possible to unveil how the underlying…

In cognitive network neuroscience, the connectivity and community structure of the brain network is related to cognition. Much of this research has focused on two measures of connectivity - modularity and flexibility - which frequently have…

Neurons and Cognition · Quantitative Biology 2017-11-28 Aurora I. Ramos-Nuñez , Simon Fischer-Baum , Randi Martin , Qiuhai Yue , Fengdan Ye , Michael W. Deem

A simple and general formalism for mode coupling by a spatial, temporal or spatiotemporal perturbation in dispersive materials is developed. This formalism can be used for studying various linear and non-linear optical interactions…

Optics · Physics 2015-06-19 Brenda Dana , Lilya Lobachinsky , Alon Bahabad

Naturalistic animal behavior exhibits a strikingly complex organization in the temporal domain, whose variability stems from at least three sources: hierarchical, contextual, and stochastic. What are the neural mechanisms and computational…

Neurons and Cognition · Quantitative Biology 2022-03-07 Luca Mazzucato

The study of dynamical systems defined on complex networks provides a natural framework with which to investigate myriad features of neural dynamics, and has been widely undertaken. Typically, however, networks employed in theoretical…

Neurons and Cognition · Quantitative Biology 2013-02-22 Reuben O'Dea , Jonathan J. Crofts , Marcus Kaiser

In the wake of recent advances in experimental methods in neuroscience, the ability to record in-vivo neuronal activity from awake animals has become feasible. The availability of such rich and detailed physiological measurements calls for…

Quantitative Methods · Quantitative Biology 2016-11-03 Gal Mishne , Ronen Talmon , Ron Meir , Jackie Schiller , Uri Dubin , Ronald R. Coifman

Network models are routinely downscaled compared to nature in terms of numbers of nodes or edges because of a lack of computational resources, often without explicit mention of the limitations this entails. While reliable methods have long…

Neurons and Cognition · Quantitative Biology 2016-02-17 Sacha Jennifer van Albada , Moritz Helias , Markus Diesmann

Many real-world complex systems including human interactions can be represented by temporal (or evolving) networks, where links activate or deactivate over time. Characterizing temporal networks is crucial to compare such systems and to…

Physics and Society · Physics 2022-08-30 Alberto Ceria , Shlomo Havlin , Alan Hanjalic , Huijuan Wang

This paper introduces a novel approach for modelling time-varying connectivity in neuroimaging data, focusing on the slow fluctuations in synaptic efficacy that mediate neuronal dynamics. Building on the framework of Dynamic Causal…

Neurons and Cognition · Quantitative Biology 2024-12-05 Johan Medrano , Karl J. Friston , Peter Zeidman

A coupled map is suggested to investigate various spatial or temporal designs in biology: Several cells (or tissues) in an organ are considered as connected to each other in terms of some molecular diffusions or electrical potential…

General Physics · Physics 2011-06-07 Caglar Tuncay

Cognition is supported by neurophysiological processes that occur both in local anatomical neighborhoods and in distributed large-scale circuits. Recent evidence from network control theory suggests that white matter pathways linking…

Neurons and Cognition · Quantitative Biology 2016-06-30 John D. Medaglia , Shi Gu , Fabio Pasqualetti , Rebecca L. Ashare , Caryn Lerman , Joseph Kable , Danielle S. Bassett

Neural synchrony in the brain at rest is usually variable and intermittent, thus intervals of predominantly synchronized activity are interrupted by intervals of desynchronized activity. Prior studies suggested that this temporal structure…

Quantitative Methods · Quantitative Biology 2021-04-26 Joel Zirkle , Leonid L Rubchinsky
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