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  K-operator for Modelling Neurodegeneration: Simulations, fMRI Application, Eigenvalue Analysis and Recurrence Plots

Fazio, S., Ribino, P., Gasparini, F., Marwan, N., Fazio, P., Gherardi, M., Mannone, M. (in press): K-operator for Modelling Neurodegeneration: Simulations, fMRI Application, Eigenvalue Analysis and Recurrence Plots. - Journal of Medical Systems.

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fazio_2025_Journal_Medical_Systems_extension_Bozen_paper.pdf (Postprint), 7MB
 
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https://github.com/medusamedusa/K_operator_parkinson (Supplementary material)
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 Creators:
Fazio, Sofia1, Author
Ribino, Patrizia1, Author
Gasparini, Francesca1, Author
Marwan, Norbert2, Author                 
Fazio, Peppino1, Author
Gherardi, Marco1, Author
Mannone, Maria2, Author           
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: The brain network damage provoked by a neurological disease can be modelled
as the result of the action of an operator, K, acting on the brain, inspired by physics. Here, we explore the matrix formulation of K, analysing eigenvalues and eigenvectors, with heuristic considerations on different techniques to approximate it. The primary objective of this paper is to lay the foundational groundwork for an innovative framework aimed at the development of predictive models regarding the progression of neurodegenerative diseases. This endeavour will leverage the potential of integrating these novel representations of brain damage with advanced machine-learning techniques. A case study based on real-world data is presented here to support the proposed modelling.

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Language(s): eng - English
 Dates: 2025-08-01
 Publication Status: Accepted / In Press
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: MDB-ID: No MDB - stored outside PIK (see locators/paper)
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Working Group: Development of advanced time series analysis techniques
 Degree: -

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Title: Journal of Medical Systems
Source Genre: Journal
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/1573-689X
Publisher: Springer