Evidence map›Paper›PMID 29051730›Full record

ArticleFrontiers in computational neuroscience2017

Dynamical Graph Theory Networks Methods for the Analysis of Sparse Functional Connectivity Networks and for Determining Pinning Observability in Brain Networks.

Anke Meyer-Bäse, Rodney G Roberts, Ignacio A Illan, Uwe Meyer-Bäse, Marc Lobbes, Andreas Stadlbauer, Katja Pinker-Domenig

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Article in Frontiers in computational neuroscience, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

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2citing papers in PubMed
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3 · Its place in the literature

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2 citing papers in PubMed.

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5 · Who and what money

Authors and funding

7 authors.

Anke Meyer-BäseDepartment of Scientific Computing, Florida State University, Tallahassee, FL, United States.
Rodney G RobertsDepartment of Electrical and Computer Engineering, Florida State University, Tallahassee, FL, United States.
Ignacio A IllanDepartment of Scientific Computing, Florida State University, Tallahassee, FL, United States.
Uwe Meyer-BäseDepartment of Electrical and Computer Engineering, Florida State University, Tallahassee, FL, United States.
Marc LobbesDepartment of Radiology and Nuclear Medicine, Maastricht University Medical Center, Maastricht, Netherlands.
Andreas StadlbauerDepartment of Neurosurgery, University of Erlangen-Nürnberg, Erlangen, Germany.
Katja Pinker-DomenigDepartment of Scientific Computing, Florida State University, Tallahassee, FL, United States.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Neuroimaging in combination with graph theory has been successful in analyzing the functional connectome. However almost all analysis are performed based on static graph theory. The derived quantitative graph measures can only describe a snap shot of the disease over time. Neurodegenerative disease evolution is poorly understood and treatment strategies are consequently only of limited efficiency. Fusing modern dynamic graph network theory techniques and modeling strategies at different time scales with pinning observability of complex brain networks will lay the foundation for a transformational paradigm in neurodegnerative diseases research regarding disease evolution at the patient level, treatment response evaluation and revealing some central mechanism in a network that drives alterations in these diseases. We model and analyze brain networks as two-time scale sparse dynamic graph networks with hubs (clusters) representing the fast sub-system and the interconnections between hubs the slow sub-system. Alterations in brain function as seen in dementia can be dynamically modeled by determining the clusters in which disturbance inputs have entered and the impact they have on the large-scale dementia dynamic system. Observing a small fraction of specific nodes in dementia networks such that the others can be recovered is accomplished by the novel concept of pinning observability. In addition, how to control this complex network seems to be crucial in understanding the progressive abnormal neural circuits in many neurodegenerative diseases. Detecting the controlling regions in the networks, which serve as key nodes to control the aberrant dynamics of the networks to a desired state and thus influence the progressive abnormal behavior, will have a huge impact in understanding and developing therapeutic solutions and also will provide useful information about the trajectory of the disease. In this paper, we present the theoretical framework and derive the necessary conditions for (1) area aggregation and time-scale modeling in brain networks and for (2) pinning observability of nodes in dynamic graph networks. Simulation examples are given to illustrate the theoretical concepts.

Indexed as

area aggregationmulti-time-scale brain networkneural networkneurodegenerative diseasepinning observabilitysingular perturbationssynchronization

Identifiers

PMID29051730
PMCPMC5633615

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.