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A given neural network in the brain is involved in many different tasks. This implies that, when considering a specific task, the network's connectivity contains a component which is related to the task and another component which can be…

Neurons and Cognition · Quantitative Biology 2021-03-17 Friedrich Schuessler , Alexis Dubreuil , Francesca Mastrogiuseppe , Srdjan Ostojic , Omri Barak

Understanding the dynamics of large-scale brain models remains a central challenge due to the inherent complexity of these systems. In this work, we explore the emergence of complex spatiotemporal patterns in a large scale-brain model…

Neurons and Cognition · Quantitative Biology 2025-12-04 Rosa Maria Delicado , Gemma Huguet , Pau Clusella

Epilepsy is a neurological brain disorder which life threatening and gives rise to recurrent seizures that are unprovoked. It occurs due to the abnormal chemical changes in our brain. Over the course of many years, studies have been…

Signal Processing · Electrical Eng. & Systems 2022-10-13 Muhammad Shoaib Farooq , Aimen Zulfiqar , Shamyla Riaz

Functional brain networks can change rapidly as a function of stimuli or cognitive shifts. Tracking dynamic functional connectivity is particularly challenging as it requires estimating the structure of the network at each moment as well as…

Methodology · Statistics 2024-04-30 Wan-Chi Hsin , Uri T. Eden , Emily P. Stephen

Multivariate dynamical processes can often be intuitively described by a weighted connectivity graph between components representing each individual time-series. Even a simple representation of this graph as a Pearson correlation matrix may…

Machine Learning · Computer Science 2022-02-15 Usman Mahmood , Zening Fu , Vince Calhoun , Sergey Plis

Coherence analysis plays a vital role in the study of functional brain connectivity. However, coherence captures only linear spectral associations, and thus can produce misleading findings when ignoring variations of connectivity in the…

Many neural systems display cascading behavior characterized by uninterrupted sequences of neuronal firing. This gap precludes an understanding of how variations in network structure manifest in neural dynamics and either support or impinge…

Neurons and Cognition · Quantitative Biology 2019-11-12 Harang Ju , Jason Z. Kim , Danielle S. Bassett

The hippocampus has the capacity for reactivating recently acquired memories [1-3] and it is hypothesized that one of the functions of sleep reactivation is the facilitation of consolidation of novel memory traces [4-11]. The dynamic and…

Neurons and Cognition · Quantitative Biology 2015-06-26 Piotr Jablonski , Gina R. Poe , Michal Zochowski

Using a perturbative expansion for weak synaptic weights and weak sources of randomness, we calculate the correlation structure of neural networks with generic connectivity matrices. In detail, the perturbative parameters are the mean and…

Neurons and Cognition · Quantitative Biology 2013-07-11 D. Fasoli , O. Faugeras

Recent advances in control theory yield closed-loop neurostimulations for suppressing epileptiform seizures. These advances are illustrated by computer experiments which are easy to implement and to tune. The feedback synthesis is provided…

Systems and Control · Electrical Eng. & Systems 2024-10-03 Cédric Join , D. Blair Jovellar , Emmanuel Delaleau , Michel Fliess

In eukaryotic cells, mitochondria form networks that range from highly fused interconnected structures to fragmented populations of individual organelles that undergo transient interactions. These structures can be described as temporal…

Biological Physics · Physics 2026-02-24 Keaton B. Holt , Camryn Zurita , Lizzy Teryoshin , Samantha C. Lewis , Elena F. Koslover

Epilepsy is a common neurological disorder characterized by abrupt seizures. Although seizures may appear random, they are often preceded by early warning signs in neural signals, notably, critical slowing down, a phenomenon in which the…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Yuzhen Qin , Marcel van Gerven

Rich, spontaneous brain activity has been observed across a range of different temporal and spatial scales. These dynamics are thought to be important t for efficient neural functioning. Experimental evidence suggests that these neural…

Neurons and Cognition · Quantitative Biology 2015-01-21 Peter J. Hellyer , Barbara Jachs , Robert Leech , Claudia Clopath

The brain can be considered as a system that dynamically optimizes the structure of anatomical connections based on the efficiency requirements of functional connectivity. To illustrate the power of this principle in organizing the…

Neurons and Cognition · Quantitative Biology 2024-02-07 Carlos Calvo Tapia , Valeriy A. Makarov Slizneva , Cees van Leeuwen

Understanding the evolution of brain functional networks over time is of great significance for the analysis of cognitive mechanisms and the diagnosis of neurological diseases. Existing methods often have difficulty in capturing the…

Machine Learning · Computer Science 2025-10-30 Tianqi Guo , Liping Chen , Ciyuan Peng , Jingjing Zhou , Jing Ren

Epilepsy is a disease in which frequent seizures occur due to abnormal activity of neurons. Patients affected by this disease can be treated with the help of medicines or surgical procedures. However, both of these methods are not quite…

Neurons and Cognition · Quantitative Biology 2020-04-20 Syed Muhammad Usman , Shahzad Latif , Arshad Beg

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…

Studies of the dynamics of nonlinear recurrent neural networks often assume independent and identically distributed couplings, but large-scale connectomics data indicate that biological neural circuits exhibit markedly different…

Neurons and Cognition · Quantitative Biology 2025-10-28 David G. Clark , Owen Marschall , Alexander van Meegen , Ashok Litwin-Kumar

Models of neural networks have proven their utility in the development of learning algorithms in computer science and in the theoretical study of brain dynamics in computational neuroscience. We propose in this paper a spatial neural…

Neural and Evolutionary Computing · Computer Science 2014-05-06 Lucas Antiqueira , Liang Zhao

Understanding the relation between cortical neuronal network structure and neuronal activity is a fundamental unresolved question in neuroscience, with implications to our understanding of the mechanism by which neuronal networks evolve…