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The brain can efficiently learn a wide range of tasks, motivating the search for biologically inspired learning rules for improving current artificial intelligence technology. Most biological models are composed of point neurons, and cannot…

Neurons and Cognition · Quantitative Biology 2026-04-13 Cristiano Capone , Cosimo Lupo , Paolo Muratore , Pier Stanislao Paolucci

When each site of a spatially extended excitable medium is independently driven by a Poisson stimulus with rate h, the interplay between creation and annihilation of excitable waves leads to an average activity F. It has recently been…

Neurons and Cognition · Quantitative Biology 2008-05-22 Tiago L. Ribeiro , Mauro Copelli

This chapter revisits the concept of excitability, a basic system property of neurons. The focus is on excitable systems regarded as behaviors rather than dynamical systems. By this we mean open systems modulated by specific interconnection…

Neurons and Cognition · Quantitative Biology 2017-04-18 Rodolphe Sepulchre , Guillaume Drion , Alessio Franci

A recurrent idea in the study of complex systems is that optimal information processing is to be found near bifurcation points or phase transitions. However, this heuristic hypothesis has few (if any) concrete realizations where a standard…

Neurons and Cognition · Quantitative Biology 2007-05-23 Osame Kinouchi , Mauro Copelli

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

We study external, electrical perturbations and their responses in the brain dynamic network of the \textit{Caenorhabditis elegans} soil worm, given by the connectome of its large somatic nervous system. Our analysis is inspired by a…

Neurons and Cognition · Quantitative Biology 2016-02-17 Chris G. Antonopoulos

Large-scale force generation is essential for biological functions such as cell motility, embryonic development, and muscle contraction. In these processes, forces generated at the molecular level by motor proteins are transmitted by…

Soft Condensed Matter · Physics 2016-04-05 Pierre Ronceray , Chase Broedersz , Martin Lenz

Persistent activity is postulated to drive neural network plasticity and learning. To investigate its underlying cellular mechanisms, we developed a biophysically tractable model that explains the emergence, sustenance, and eventual…

Neurons and Cognition · Quantitative Biology 2009-11-13 Vladislav Volman , Richard Gerkin , Pak-Ming Lau , Eshel Ben-Jacob , Guo-Qiang Bi

Dendrites are crucial structures for computation of an individual neuron. It has been shown that the dynamics of a biological neuron with dendrites can be approximated by artificial neural networks (ANN) with deep structure. However, it…

Neurons and Cognition · Quantitative Biology 2023-05-23 Jingyang Ma , Songting Li , Douglas Zhou

Anatomic connections between brain areas affect information flow between neuronal circuits and the synchronization of neuronal activity. However, such structural connectivity does not coincide with effective connectivity, related to the…

Neurons and Cognition · Quantitative Biology 2015-06-03 Demian Battaglia , Annette Witt , Fred Wolf , Theo Geisel

Recent experiments revealed that a certain class of inhibitory neurons in the cerebral cortex make synapses not onto cell bodies but at distal parts of dendrites of the target neurons, mediating highly nonlinear dendritic inhibition. We…

Neurons and Cognition · Quantitative Biology 2007-05-23 Kenji Morita , Kazuyuki Aihara

We here study a network of synaptic relations mingling excitatory and inhibitory neuron nodes that displays oscillations quite similar to electroencephalogram (EEG) brain waves, and identify abrupt variations brought about by swift synaptic…

Neurons and Cognition · Quantitative Biology 2021-02-17 Jorge Pretel , Joaquin J. Torres , J. Marro

Sophisticated machine learning struggles to transition onto battery-operated devices due to the high-power consumption of neural networks. Researchers have turned to neuromorphic engineering, inspired by biological neural networks, for more…

Neural and Evolutionary Computing · Computer Science 2023-11-23 Daniel John Mannion

The nervous system displays a variety of rhythms in both waking and sleep. These rhythms have been closely associated with different behavioral and cognitive states, but it is still unknown how the nervous system makes use of these rhythms…

Dynamical Systems · Mathematics 2007-05-23 Nancy Kopell

Active inference is a normative framework for explaining behaviour under the free energy principle -- a theory of self-organisation originating in neuroscience. It specifies neuronal dynamics for state-estimation in terms of a descent on…

Neurons and Cognition · Quantitative Biology 2021-10-26 Lancelot Da Costa , Thomas Parr , Biswa Sengupta , Karl Friston

Long, elastic filaments cross-linked and deformed by active molecular motors occur in various natural settings. The overall macroscopic mechanical response of such a composite network depends on the coupling between the active and the…

Biological Physics · Physics 2015-01-13 Raghunath Chelakkot , Arvind Gopinath , L. Mahadevan

Recurrent networks of non-linear units display a variety of dynamical regimes depending on the structure of their synaptic connectivity. A particularly remarkable phenomenon is the appearance of strongly fluctuating, chaotic activity in…

Neurons and Cognition · Quantitative Biology 2017-05-10 Francesca Mastrogiuseppe , Srdjan Ostojic

Synaptic, dendritic and single-cell kinetics generate significant time delays that shape the dynamics of large networks of spiking neurons. Previous work has shown that such effective delays can be taken into account with a rate model…

Neurons and Cognition · Quantitative Biology 2014-01-31 Alex Roxin , Ernest Montbrio

Conceptual and mathematical models of neurons have lagged behind empirical understanding for decades. Here we extend previous work in modeling biological systems with fully scale-independent quantum information-theoretic tools to develop a…

Neurons and Cognition · Quantitative Biology 2022-07-21 Chris Fields , James F. Glazebrook , Michael Levin

Deep learning techniques are increasingly being adopted for classification tasks over the past decade, yet explaining how deep learning architectures can achieve state-of-the-art performance is still an elusive goal. While all the training…

Machine Learning · Computer Science 2021-10-12 Sakib Mostafa , Debajyoti Mondal
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