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This paper presents the results of our recent work on studying the effects of deep brain stimulation (DBS) and medication on the dynamics of brain local field potential (LFP) signals used for behavior analysis of patients with Parkinson s…

Neurons and Cognition · Quantitative Biology 2018-04-11 Hosein M. Golshan , Adam O. Hebb , Joshua Nedrud , Mohammad H. Mahoor

In recent years, the presence of local potentials has significantly enriched and diversified the entanglement patterns in monitored free fermion systems. In our approach, we employ the stochastic Schr\"odinger equation to simulate a…

Quantum Physics · Physics 2026-02-09 Yu-Jun Zhao , Xuyang Huang , Yi-Rui Zhang , Han-Ze Li , Jian-Xin Zhong

Because local field potentials (LFPs) arise from multiple sources in different spatial locations, they do not easily reveal coordinated activity across neural populations on a trial-to-trial basis. As we show here, however, once disparate…

Applications · Statistics 2022-01-19 Natalie Klein , Joshua H. Siegle , Tobias Teichert , Robert E. Kass

Previous studies have shown that spike-timing-dependent plasticity (STDP) can be used in spiking neural networks (SNN) to extract visual features of low or intermediate complexity in an unsupervised manner. These studies, however, used…

Computer Vision and Pattern Recognition · Computer Science 2018-03-12 Saeed Reza Kheradpisheh , Mohammad Ganjtabesh , Simon J Thorpe , Timothée Masquelier

Investigating the spectral properties of the neural covariates that underlie spiking activity is an important problem in systems neuroscience, as it allows to study the role of brain rhythms in cognitive functions. While the spectral…

Signal Processing · Electrical Eng. & Systems 2019-06-21 Proloy Das , Behtash Babadi

Random light fields -- commonly known as speckles -- demonstrate Rayleigh intensity statistics and only possess local correlations: which occur within the individual speckle grains. In this work, we develop an experimental method for…

Optics · Physics 2019-11-15 Nicholas Bender , Hasan Yılmaz , Yaron Bromberg , Hui Cao

Cortical neurons are subject to sustained and irregular synaptic activity which causes important fluctuations of the membrane potential (Vm). We review here different methods to characterize this activity and its impact on spike generation.…

Neurons and Cognition · Quantitative Biology 2009-04-29 Zuzanna Piwkowska , Martin Pospischil , Romain Brette , Julia Sliwa , Michelle Rudolph-Lilith , Thierry Bal , Alain Destexhe

It has been proposed that populations of neurons process information in terms of probability density functions (PDFs) of analog variables. Such analog variables range, for example, from target luminance and depth on the sensory interface to…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. J. Barber , J. W. Clark , C. H. Anderson

In cognitive network neuroscience, the connectivity and community structure of the brain network is related to cognition. Much of this research has focused on two measures of connectivity - modularity and flexibility - which frequently have…

Neurons and Cognition · Quantitative Biology 2017-11-28 Aurora I. Ramos-Nuñez , Simon Fischer-Baum , Randi Martin , Qiuhai Yue , Fengdan Ye , Michael W. Deem

Experimental observations on synaptic plasticity at individual glutamatergic synapses from the CA3 Shaffer collateral pathway onto CA1 pyramidal cells in the hippocampus suggest that the transitions in synaptic strength occur among discrete…

Quantitative Methods · Quantitative Biology 2013-04-26 H. D. Abarbanel , S. S. Talathi , L. Gibb , M. Rabinovich

Recordings of complex neural population responses provide a unique opportunity for advancing our understanding of neural information processing at multiple scales and improving performance of brain computer interfaces. However, most…

Neurons and Cognition · Quantitative Biology 2022-07-12 Lazaros Mitskopoulos , Theoklitos Amvrosiadis , Arno Onken

The brain is a complex system whose understanding enables potentially deeper approaches to mental phenomena. Dynamics of wide classes of complex systems have been satisfactorily described within $q$-statistics, a current generalization of…

Neurons and Cognition · Quantitative Biology 2023-08-15 Dimitri Marques Abramov , Constantino Tsallis , Henrique Santos Lima

According to the theory of efficient coding, sensory systems are adapted to represent natural scenes with high fidelity and at minimal metabolic cost. Testing this hypothesis for sensory structures performing non-linear computations on high…

Neurons and Cognition · Quantitative Biology 2018-04-13 Ulisse Ferrari , Christophe Gardella , Olivier Marre , Thierry Mora

We establish a precise connection between statistical significance in dependence testing and information-theoretic dependence as quantified by Shannon mutual information (MI). In the absence of prior distributional information, we consider…

Statistics Theory · Mathematics 2026-02-02 Tsutomu Mori , Takashi Kawamura

We study non-local measures of spectral correlations and their utility in characterizing and distinguishing between the distinct eigenstate phases of quantum chaotic and many-body localized systems. We focus on two related quantities, the…

Disordered Systems and Neural Networks · Physics 2023-12-29 Mahaveer Prasad , Abhishodh Prakash , J. H. Pixley , Manas Kulkarni

We investigate the influence of indirect connections, interregional distance and collective effects on the large-scale functional networks of the human cortex. We study topologies of empirically derived resting state networks (RSNs),…

Neurons and Cognition · Quantitative Biology 2013-02-18 Vesna Vuksanović , Philipp Hövel

The spectral form factor is a dynamical probe for level statistics of quantum systems. The early-time behaviour is commonly interpreted as a characterization of two-point correlations at large separation. We argue that this interpretation…

Disordered Systems and Neural Networks · Physics 2025-10-07 Wouter Buijsman , Vadim Cheianov , Vladimir Gritsev

We explore the interplay between the topological relevance of a neuron and its dynamical traces in experimental cultured neuronal networks. We monitor the growth and development of these networks to characterise the evolution of their…

Adaptation and Self-Organizing Systems · Physics 2023-07-14 A. Tlaie , L. M. Ballesteros-Esteban , I. Leyva , I. Sendina-Nadal

We study localised activity patterns in neural field equations posed on the Euclidean plane; such models are commonly used to describe the coarse-grained activity of large ensembles of cortical neurons in a spatially continuous way. We…

Dynamical Systems · Mathematics 2016-03-29 James Rankin , Daniele Avitabile , Javier Baladron , Gregory Faye , David J. B. Lloyd

A consistent local approach to the study of interacting relativistic fermion systems with a condensation of bare particles in its ground or vacuum state, which may has a finite matter density, is developed. The attention is payed to some of…

High Energy Physics - Theory · Physics 2011-08-04 S. Ying