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We study pairwise Ising models for describing the statistics of multi-neuron spike trains, using data from a simulated cortical network. We explore efficient ways of finding the optimal couplings in these models and examine their…

Quantitative Methods · Quantitative Biology 2009-05-21 Yasser Roudi , Joanna Tyrcha , John Hertz

Divisive Normalization and the Wilson-Cowan equations are influential models of neural interaction and saturation [Carandini and Heeger Nat.Rev.Neurosci. 2012; Wilson and Cowan Kybernetik 1973]. However, they have not been analytically…

Neurons and Cognition · Quantitative Biology 2024-01-02 J. Malo , J. J. Esteve-Taboada , M. Bertalmío

This paper describes how realistic neuromorphic networks can have their connectivity fully characterized in analytical fashion. By assuming that all neurons have the same shape and are regularly distributed along the two-dimensional…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa , Marconi Soares Barbosa

Dynamic functional connectivity, as measured by the time-varying covariance of neurological signals, is believed to play an important role in many aspects of cognition. While many methods have been proposed, reliably establishing the…

Methodology · Statistics 2019-10-30 Lingge Li , Dustin Pluta , Babak Shahbaba , Norbert Fortin , Hernando Ombao , Pierre Baldi

Dynamic functional connectivity (DFC) analysis involves measuring correlated neural activity over time across multiple brain regions. Significant regional correlations among neural signals, such as those obtained from resting-state…

Contemporary computational neuroscience features two prominent modeling traditions. Bottom-up whole-brain modeling (WBM) builds biophysically detailed simulations of brain structure and dynamics, whereas top-down neuroconnectionism…

Neurons and Cognition · Quantitative Biology 2026-05-19 Mario Senden , Leonardo Dalla Porta , Jan Fousek , Jorge F. Mejias , Gorka Zamora-López

Knowing brain connectivity is of great importance both in basic research and for clinical applications. We are proposing a method to infer directed connectivity from zero-lag covariances of neuronal activity recorded at multiple sites. This…

Neurons and Cognition · Quantitative Biology 2018-04-10 Jonathan Schiefer , Alexander Niederbühl , Volker Pernice , Carolin Lennartz , Pierre LeVan , Jürgen Henning , Stefan Rotter

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

The anatomical structure of the brain can be observed via non-invasive techniques such as diffusion imaging. However, these are imperfect because they miss connections that are actually known to exist, especially long range…

Neurons and Cognition · Quantitative Biology 2015-02-25 Somwrita Sarkar , Sanjay Chawla , Donna Xu

This study proposes an approach to estimate the functional localization and connectivity from CBF and BOLD signals simultaneously measured by ASL (arterial spin labeling) MRI, especially using exploratory Structural Equation Modeling…

Neurons and Cognition · Quantitative Biology 2017-04-11 Jiancheng Zhuang

Communication within or between complex systems is commonplace in the natural sciences and fields such as graph neural networks. The brain is a perfect example of such a complex system, where communication between brain regions is…

Neurons and Cognition · Quantitative Biology 2022-10-10 Eloy Geenjaar , Noah Lewis , Amrit Kashyap , Robyn Miller , Vince Calhoun

Whether, when, and how causal interactions between neurons can be meaningfully studied from observations of neural activity alone are vital questions in neural data analysis. Here we aim to better outline the concept of functional…

Neurons and Cognition · Quantitative Biology 2023-12-05 Ian H. Stevenson

Simultaneous estimates of the activity in the left and right auditory cortex of five normal human subjects were extracted from Multichannel Magnetoencephalography recordings. Left, right and binaural stimulation were used, in separate runs,…

Biological Physics · Physics 2009-10-31 J. Kwapien , S. Drozdz , L. C. Liu , A. A. Ioannides

Dynamic networks have been increasingly used to characterize brain connectivity that varies during resting and task states. In such characterizations, a connectivity network is typically measured at each time point for a subject over a…

Methodology · Statistics 2023-03-23 Maoyu Zhang , Biao Cai , Wenlin Dai , Dehan Kong , Hongyu Zhao , Jingfei Zhang

Motivated by modern observational studies, we introduce a class of functional models that expands nested and crossed designs. These models account for the natural inheritance of correlation structure from sampling design in studies where…

Applications · Statistics 2013-04-26 Haochang Shou , Vadim Zipunnikov , Ciprian M. Crainiceanu , Sonja Greven

Functional connectivity of cognitive tasks allows researchers to analyse the interaction mapping occurring between different regions of the brain using electroencephalography (EEG) signals. Standard practice in functional connectivity…

Human-Computer Interaction · Computer Science 2019-07-23 Saugat Bhattacharyya , Mitsuhiro Hayashibe

Developing accurate numerical methods for strongly interacting fermions is crucial for improving our understanding of various quantum many-body phenomena, especially unconventional superconductivity. Recently, neural quantum states have…

Strongly Correlated Electrons · Physics 2025-07-16 Ao Chen , Zhou-Quan Wan , Anirvan Sengupta , Antoine Georges , Christopher Roth

This article investigates the relationship between the interconnectivity and simulated dynamics of the thalamocortical system from the specific perspective of attempting to maximize the diversity of cortical states. This is achieved by…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa , Olaf Sporns

We propose a dynamic quantum sensing scheme by using a quantum many-spin system composed of a central spin interacting with many surrounding spins. Starting from a generalized Ising ring model, we investigate the error propagation formula…

Quantum Physics · Physics 2022-07-20 Wenkui Ding , Yanxia Liu , Zhenyu Zheng , Shu Chen

Contemporary neuroscience has embraced network science to study the complex and self-organized structure of the human brain; one of the main outstanding issues is that of inferring from measure data, chiefly functional Magnetic Resonance…

Optimization and Control · Mathematics 2017-03-31 Giulia Prando , Mattia Zorzi , Alessandra Bertoldo , Alessandro Chiuso
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