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The characterization of coordinated activity in neuronal populations has received renewed interest in the light of advancing experimental techniques which allow recordings from multiple units simultaneously. Across both in vitro and in vivo…

Neurons and Cognition · Quantitative Biology 2015-06-16 Feraz Azhar , William S. Anderson

Cortical slow oscillations are an emergent property of the cortical network, a hallmark of low complexity brain states like sleep, and represent a default activity pattern. Here, we present a methodological approach for quantifying the…

Neurons and Cognition · Quantitative Biology 2021-11-09 Giulia De Bonis , Miguel Dasilva , Antonio Pazienti , Maria V. Sanchez-Vives , Maurizio Mattia , Pier Stanislao Paolucci

This thesis is dedicated to the statistical analysis of multi-sub ject fMRI data, with the purpose of identifying bain structures involved in certain cognitive or sensori-motor tasks, in a reproducible way across sub jects. To overcome…

Applications · Statistics 2010-05-19 Merlin Keller , Alexis Roche , Marc Lavielle

Recent advances in experimental techniques enable the simultaneous recording of activity from thousands of neurons in the brain, presenting both an opportunity and a challenge: to build meaningful, scalable models of large neural…

Biological Physics · Physics 2025-08-05 Luca Di Carlo , Francesca Mignacco , Christopher W. Lynn , William Bialek

Recent research is revealing how cognitive processes are supported by a complex interplay between the brain and the rest of the body, which can be investigated by the analysis of physiological features such as breathing rhythms, heart rate,…

Quantitative Methods · Quantitative Biology 2023-03-10 Fernando E. Rosas , Diego Candia-Rivera , Andrea I Luppi , Yike Guo , Pedro A. M. Mediano

We present a new statistical method to analyze multichannel steady-state local field potentials (LFP) recorded within different sensory cortices of different rodent species. Our spatiotemporal multi-dimensional cluster statistics (MCS)…

Quantitative Methods · Quantitative Biology 2016-11-24 Patrick Krauss , Claus Metzner , Achim Schilling , Konstantin Tziridis , Maximilian Traxdorf , Holger Schulze

Neural mass models are used to simulate cortical dynamics and to explain the electrical and magnetic fields measured using electro- and magnetoencephalography. Simulations evince a complex phase-space structure for these kinds of models;…

Neurons and Cognition · Quantitative Biology 2022-08-25 Gerald Cooray , Richard Rosch , Karl Friston

We extend previous mean-field approaches for non-equilibrium neural network models to estimate correlations in the system. This offers a powerful tool for approximating the system dynamics as well as a fast method to infer network…

Disordered Systems and Neural Networks · Physics 2022-01-27 Ángel Poc-López , Miguel Aguilera

We review two examples where the linear response of a neuronal network submitted to an external stimulus can be derived explicitely, including network parameters dependence. This is done in a statistical physics-like approach where one…

Neurons and Cognition · Quantitative Biology 2020-01-08 B. Cessac

Recent analyses combining advanced theoretical techniques and high-quality data from thousands of simultaneously recorded neurons provide strong support for the hypothesis that neural dynamics operate near the edge of instability across…

Neurons and Cognition · Quantitative Biology 2024-03-25 Rubén Calvo , Carles Martorell , Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

Non-invasive methods to measure brain activity are important to understand cognitive processes in the human brain. A prominent example is functional magnetic resonance imaging (fMRI), which is a noisy measurement of a delayed signal that…

Neurons and Cognition · Quantitative Biology 2020-08-17 Hans-Christian Ruiz-Euler , Jose R. Ferreira Marques , Hilbert J. Kappen

It has been proposed that neural noise in the cortex arises from chaotic dynamics in the balanced state: in this model of cortical dynamics, the excitatory and inhibitory inputs to each neuron approximately cancel, and activity is driven by…

Disordered Systems and Neural Networks · Physics 2017-04-28 Nimrod Shaham , Yoram Burak

Brain decoding involves the determination of a subject's cognitive state or an associated stimulus from functional neuroimaging data measuring brain activity. In this setting the cognitive state is typically characterized by an element of a…

Machine Learning · Statistics 2015-04-14 Nicole Croteau , Farouk S. Nathoo , Jiguo Cao , Ryan Budney

In this work, we present a mathematical model for cyclic and sequential patterns of brain activity, combining heteroclinic dynamics with discrete neural-field models. We first show that spatial-discrete neural-field equations with…

Dynamical Systems · Mathematics 2026-05-05 M Virginia Bolelli , Luca Greco , Dario Prandi

We propose Wake-Sleep Consolidated Learning (WSCL), a learning strategy leveraging Complementary Learning System theory and the wake-sleep phases of the human brain to improve the performance of deep neural networks for visual…

Neural and Evolutionary Computing · Computer Science 2024-01-18 Amelia Sorrenti , Giovanni Bellitto , Federica Proietto Salanitri , Matteo Pennisi , Simone Palazzo , Concetto Spampinato

Data-driven, model-free analytics are natural choices for discovery and forecasting of complex, nonlinear systems. Methods that operate in the system state-space require either an explicit multidimensional state-space, or, one approximated…

Machine Learning · Statistics 2021-03-15 Joseph Park , Gerald M Pao , Erik Stabenau , George Sugihara , Thomas Lorimer

In recent years, there have been many computational simulations of spontaneous neural dynamics. Here, we explore a model of spontaneous neural dynamics and allow it to control a virtual agent moving in a simple environment. This setup…

Neurons and Cognition · Quantitative Biology 2016-08-19 Peter J. Hellyer , Claudia Clopath , Angie A. Kehagia , Federico E. Turkheimer , Robert Leech

Understanding how neural dynamics shape cognitive experiences remains a central challenge in neuroscience and psychiatry. Here, we present a novel framework leveraging state-to-output controllability from dynamical systems theory to model…

Neurostimulation using weak electric fields has generated excitement in recent years due to its potential as a medical intervention. However, study of this stimulation modality has been hampered by inconsistent results and large variability…

Neurons and Cognition · Quantitative Biology 2020-01-29 Frances Hutchings , Christopher Thornton , Chencheng Zhang , Yujiang Wang , Marcus Kaiser

Starting from the concept of binary interactions between pairs of particles, a kinetic framework for the description of the action potential dynamics on a neural network is proposed. It consists of two coupled levels: the description of a…

Biological Physics · Physics 2023-03-21 Martina Conte , Maria Groppi , Andrea Tosin