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We investigate the collective dynamics of bursting neurons on clustered network. The clustered network is composed of subnetworks each presenting a small-world property, and in a given subnetwork each neuron has a probability to be…

Chaotic Dynamics · Physics 2010-12-22 C. A. S. Batista , R. V. Nunes , A. M. Batista , R. L. Viana , S. R. Lopes , T. Pereira

Excessively high, neural synchronisation has been associated with epileptic seizures, one of the most common brain diseases worldwide. A better understanding of neural synchronisation mechanisms can thus help control or even treat epilepsy.…

In many body systems, constituents interact with each other, forming a recursive pattern of mutual interaction and giving rise to many interesting phenomena. Based upon concepts of the modern many body theory, a model for a generic many…

Soft Condensed Matter · Physics 2007-05-23 Zhen Ye

We report on the origin of synchronized bursting dynamics in various networks of neural spiking oscillators, when a certain threshold in coupling strength is exceeded. These ensembles synchronize at relatively low coupling strength and lose…

Chaotic Dynamics · Physics 2007-05-23 Mikhail V. Ivanchenko , Grigory V. Osipov , Vladimir D. Shalfeev , Jurgen Kurths

The generalization properties of an attractive network of non monotonic neurons which infers concepts from samples are studied. The macroscopic dynamics for the overlap between the state of the neurons with the concepts, well as the…

Statistical Mechanics · Physics 2009-10-31 D. R. C. Dominguez

Cerebrovascular accident, or commonly known as stroke, is an acute disease with extreme impact on patients and healthcare systems and is the second largest cause of death worldwide. Fast and precise stroke lesion detection and location is…

Image and Video Processing · Electrical Eng. & Systems 2021-05-25 Chuanlong Li

Convolutional networks are ubiquitous in deep learning. They are particularly useful for images, as they reduce the number of parameters, reduce training time, and increase accuracy. However, as a model of the brain they are seriously…

Machine Learning · Computer Science 2022-01-19 Roman Pogodin , Yash Mehta , Timothy P. Lillicrap , Peter E. Latham

Many coordination phenomena in Nature are grounded on a synchronisation regime. In the case of brain dynamics, such self-organised process allows the neurons of particular brain regions to behave as a whole and thus directly controlling the…

Adaptation and Self-Organizing Systems · Physics 2018-10-02 Malbor Asllani , Timoteo Carletti

Working memory requires the brain to maintain information from the recent past to guide ongoing behavior. Neurons can contribute to this capacity by slowly integrating their inputs over time, creating persistent activity that outlasts the…

Neurons and Cognition · Quantitative Biology 2025-11-20 Nicoas Zucchet , Qianqian Feng , Axel Laborieux , Friedemann Zenke , Walter Senn , João Sacramento

If brain anatomy and dynamics have a genuine complex network structure as it has become standard to posit, it is also reasonable to assume that such a structure should play a key role not only in brain function but also in brain…

Neurons and Cognition · Quantitative Biology 2025-08-01 David Papo , Javier M. Buldú

What is the relationship between brain and behavior? The answer to this question necessitates characterizing the mapping between structure and function. The aim of this paper is to discuss broad issues surrounding the link between structure…

Neurons and Cognition · Quantitative Biology 2015-06-19 Luiz Pessoa

Synchronization is ubiquitous in nature, which is mathematically described by coupled oscillators. Synchronization strongly depends on the interaction network, and the network plays a crucial role in controlling the dynamics. To understand…

Adaptation and Self-Organizing Systems · Physics 2025-08-19 Akari Matsuki , Hiroshi Kori , Ryota Kobayashi

Network pruning is widely used to lighten and accelerate neural network models. Structured network pruning discards the whole neuron or filter, leading to accuracy loss. In this work, we propose a novel concept of neuron merging applicable…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Woojeong Kim , Suhyun Kim , Mincheol Park , Geonseok Jeon

Lesions in central nervous system (CNS) and their growth leads to debilitating diseases like Multiple Sclerosis (MS), Alzheimer's etc. We developed a model earlier which shows how the lesion growth can be arrested through a beneficial…

Adaptation and Self-Organizing Systems · Physics 2012-09-04 Mathankumar Raja , T. R. Krishna Mohan

A great deal of research has been devoted on the investigation of neural dynamics in various network topologies. However, only a few studies have focused on the influence of autapses, synapses from a neuron onto itself via closed loops, on…

Neurons and Cognition · Quantitative Biology 2020-11-09 P. R. Protachevicz , K. C. Iarosz , I. L. Caldas , C. G. Antonopoulos , A. M. Batista , J. Kurths

We study impact of multiplexing on the global phase synchronizability of different layers in the delayed coupled multiplex networks. We find that at strong couplings, the multiplexing induces the global synchronization in sparse networks.…

Chaotic Dynamics · Physics 2016-05-03 Aradhana Singh , Saptarshi Ghosh , Sarika Jalan , Jürgen Kurths

Synchronization is of central importance in power distribution, telecommunication, neuronal, and biological networks. Many networks are observed to produce patterns of synchronized clusters, but it has been difficult to predict these…

We investigate the synchronization between two neurons using the stochastic version of the map-based Chialvo model. To simulate non-identical neurons, a mismatch is introduced in one of the main parameters of the model. Subsequently, the…

Chaotic Dynamics · Physics 2024-04-12 Javier Used , Jesús Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A. F. Sanjuan

Cognitive function is driven by dynamic interactions between large-scale neural circuits or networks, enabling behavior. Fundamental principles constraining these dynamic network processes have remained elusive. Here we use network control…

Neurons and Cognition · Quantitative Biology 2015-10-28 Shi Gu , Fabio Pasqualetti , Matthew Cieslak , Scott T. Grafton , Danielle S. Bassett

Transient or partial synchronization can be used to do computations, although a fully synchronized network is frequently related to epileptic seizures. Here, we propose a homeostatic mechanism that is capable of maintaining a neuronal…

Adaptation and Self-Organizing Systems · Physics 2024-05-21 Sue L. Rhâmidda , Mauricio Girardi-Schappo , Osame Kinouchi
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