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Connectivity functions and polymatroids
A {\em connectivity function on} a set $E$ is a function $λ:2^E\rightarrow \mathbb R$ such that $λ(\emptyset)=0$, that $λ(X)=λ(E-X)$ for all $X\subseteq E$ and that $λ(X\cap Y)+λ(X\cup Y)\leq λ(X)+λ(Y)$ for all $X,Y \subseteq E$. Graphs, matroids and, more generally, polymatroids have associated connectivity functions.
Susan Jowett, Songbao Mo, Geoff Whittle
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The heterogeneity and complexity of white matter (WM) pathways of the human brain were discretely described by pioneers such as Willis, Stenon, Malpighi, Vieussens and Vicq d’Azyr up to the beginning of the 19th century. Subsequently, novel approaches to
Emmanuel Mandonnet +2 more
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Connectivity of submodular functions
This paper relates the connectivity of submodular functions \(f\) to that of certain submodular functions which are derived from \(f\). Here the function \(f\) on \(S\) is submodular if \(f(A)+f(B)\geq f(A\cup B)+f(A\cap B)\) for all subsets \(A\) and \(B\) of \(S\).
James G. Oxley, Geoff Whittle
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Altered intrinsic functional connectivity in language-related brain regions in association with verbal memory performance in euthymic bipolar patients [PDF]
Potential abnormalities in the structure and function of the temporal lobes have been studied much less in bipolar disorder than in schizophrenia. This may not be justified because language-related symptoms, such as pressured speech and flight of ideas ...
David Linden +13 more
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Structural Brain Connectivity Constrains within-a-Day Variability of Direct Functional Connectivity
The idea that structural white matter connectivity constrains functional connectivity (interactions among brain regions) has widely been explored in studies of brain networks; studies have mostly focused on the “average” strength of functional ...
Bumhee Park +6 more
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Insula Functional Connectivity in Schizophrenia [PDF]
Abstract The insula is structurally abnormal in schizophrenia, demonstrating robust reductions in gray matter volume, cortical thickness, and altered gyrification during prodromal, early and chronic stages of the illness. Despite compelling structural alterations, less is known about its functional connectivity, limited by studies ...
Julia M. Sheffield +4 more
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Positive Connectivity Predicts the Dynamic Intrinsic Topology of the Human Brain Network
Functional connectivity MRI (fcMRI) has become instrumental in facilitating research of human brain network organization in terms of coincident interactions between positive and negative synchronizations of large-scale neuronal systems. Although there is
Jingyu Qian +11 more
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Resting State fMRI Reveals Diminished Functional Connectivity in a Mouse Model of Amyloidosis [PDF]
Introduction: Functional connectivity (FC) studies have gained immense popularity in the evaluation of several neurological disorders, such as Alzheimer’s disease (AD). AD is a complex disorder, characterised by several pathological features. The problem
Rafael Delgado Y Palacios +27 more
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Functional Connectivity in Aging [PDF]
A large body of research shows that aging is accompanied by localized changes in brain structure and function. However, over the past decade the neuroimaging community has begun to recognize the importance of investigating the brain as a network.
Franziskus Liem +3 more
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Biophysical Modulations of Functional Connectivity [PDF]
Resting-state low frequency oscillations have been detected in many functional magnetic resonance imaging (MRI) studies and appear to be synchronized between functionally related areas. Converging evidence from MRI and other imaging modalities suggest that this activity has an intrinsic neuronal origin.
Peltier, Scott J., Shah, Yash
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