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Related papers: Nonequilibrium Green's functions for functional co…

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We develop a theory for the nonequilibrium coherent transport through a mesoscopic region, based on the nonequilibrium Green function technique. The theory requires the weak coupling between the central mesoscopic region and the multiple…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Yu Zhu , Tsung-han Lin , Qing-feng Sun

Functional brain network has been widely studied to understand the relationship between brain organization and behavior. In this paper, we aim to explore the functional connectivity of brain network under a \emph{multi-step} cognitive task…

Neurons and Cognition · Quantitative Biology 2017-12-06 Shi-Min Cai , Wei Chen , Dong-Bai Liu , Ming Tang , Xun Chen

We report on the passive measurement of time-dependent Green's functions in the optical frequency domain with low-coherence interferometry. Inspired by previous studies in acoustics and seismology, we show how the correlations of a…

A large body of literature has shown the substantial inter-regional functional connectivity in the mammal brain. One important property remaining un-studied is the cross-time interareal connection. This paper serves to provide a tool to…

Neurons and Cognition · Quantitative Biology 2021-09-06 Ze Wang

Dynamic functional connectivity is an effective measure for the brain's responses to continuous stimuli. We propose an inferential method to detect the dynamic changes of brain networks based on time-varying graphical models. Whereas most…

Applications · Statistics 2020-06-23 Dingjue Ji , Junwei Lu , Yiliang Zhang , Hongyu Zhao , Siyuan Gao

Effective connectivity analysis provides an understanding of the functional organization of the brain by studying how activated regions influence one other. We propose a nonparametric Bayesian approach to model effective connectivity…

Applications · Statistics 2011-07-22 Sourabh Bhattacharya , Ranjan Maitra

Our understanding of neural computation is founded on the assumption that neurons fire in response to a linear summation of inputs. Yet experiments demonstrate that some neurons are capable of complex functions that require interactions…

Biological Physics · Physics 2026-03-23 Christopher W. Lynn

The nonequilibrium Green's function formalism provides a versatile and powerful framework for numerical studies of nonequilibrium phenomena in correlated many-body systems. For calculations starting from an equilibrium initial state, a…

Strongly Correlated Electrons · Physics 2024-07-11 Matthias Murray , Hiroshi Shinaoka , Philipp Werner

We study the behavior of out of equilibrium retarded, advanced and correlated Green's functions within the context of an exactly soluble (quenched) model. We show, to the lowest order, that even though the pinch singularities cancel, there…

High Energy Physics - Theory · Physics 2015-06-19 Ashok K. Das , J. Frenkel

Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections. This latter is well…

Disordered Systems and Neural Networks · Physics 2021-02-11 Ali Safari , Paolo Moretti , Ibai Diez , Jesus M. Cortes , Miguel Ángel Muñoz

Understanding the relationship between the dynamics of neural processes and the anatomical substrate of the brain is a central question in neuroscience. On the one hand, modern neuroimaging technologies, such as diffusion tensor imaging,…

The interactions play one of the central roles in the brain mediating various processes and functions. They are particularly important for the brain as a complex system that has many different functions from the same structural…

Adaptation and Self-Organizing Systems · Physics 2020-08-19 Tomislav Stankovski

A method of discovering how neurons are connected to process information is presented here: Design a simple logic circuit that can perform a single, biologically advantageous function. Engineering concepts can be helpful in choosing the…

Neurons and Cognition · Quantitative Biology 2025-03-07 Lane Yoder

The static synaptic connectivity of neuronal circuits stands in direct contrast to the dynamics of their function. As in changing community interactions, different neurons can participate actively in various combinations to effect behaviors…

Neurons and Cognition · Quantitative Biology 2024-02-29 Luciano Dyballa , Samuel Lang , Alexandra Haslund-Gourley , Eviatar Yemini , Steven W. Zucker

Functional connectome extends the anatomical connectome by capturing the relations between neurons according to their activity and interactions. When these relations are causal, the functional connectome maps how neural activity flows…

Neurons and Cognition · Quantitative Biology 2020-11-10 Rahul Biswas , Eli Shlizerman

Neural processes in the brain operate at a range of temporal scales. Granger causality, the most widely-used neuroscientific tool for inference of directed functional connectivity from neurophsyiological data, is traditionally deployed in…

Applications · Statistics 2019-07-17 Lionel Barnett , Anil K. Seth

A central question in neuroscience is how self-organizing dynamic interactions in the brain emerge on their relatively static structural backbone. Due to the complexity of spatial and temporal dependencies between different brain areas,…

Neurons and Cognition · Quantitative Biology 2020-10-15 Simon Wein , Wilhelm Malloni , Ana Maria Tomé , Sebastian M. Frank , Gina-Isabelle Henze , Stefan Wüst , Mark W. Greenlee , Elmar W. Lang

Control is essential to the functioning of any neural system. Indeed, under healthy conditions the brain must be able to continuously maintain a tight functional control between the system's inputs and outputs. One may therefore hypothesise…

Neurons and Cognition · Quantitative Biology 2018-05-29 Emma K. Towlson , Petra E. Vertes , Gang Yan , Yee Lian Chew , Denise S. Walker , William R. Schafer , Albert-Laszlo Barabasi

Cognitive flexibility describes the human ability to switch between modes of mental function to achieve goals. Mental switching is accompanied by transient changes in brain activity, which must occur atop an anatomical architecture that…

Neurons and Cognition · Quantitative Biology 2016-11-29 John D. Medaglia , Weiyu Huang , Elisabeth A. Karuza , Sharon L. Thompson-Schill , Alejandro Ribeiro , Danielle S. Bassett

Objective: Brain is a fantastic organ that helps creature adapting to the environment. Network is the most essential structure of brain, but the capability of a simple network is still not very clear. In this study, we try to expound some…

Neurons and Cognition · Quantitative Biology 2019-11-05 Xiang Zou , Lie Yao , Donghua Zhao , Liang Chen , Ying Mao