The brain is a complex network, and diseases can alter its structures and connections between regions. Therefore, we can try to formalize the action of diseases by using operators acting on the brain network. Here, we propose a conceptual model of the brain, seen as a multilayer network, whose intra-lobe interactions are formalized as the diagonal blocks of an adjacency matrix. We propose a general and abstract definition of disease as an operator altering the weights of the connections between neural agglomerates, that is, the elements of the brain matrix. As models, we consider examples from three neurological disorders: epilepsy, Alzheimer–Perusini’s disease, and schizophrenia. The alteration of neural connections can be seen as alterations of communication pathways, and thus, they can be described with a new channel model.
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Research Article|
May 23 2024
Modeling a neurological disorder as the result of an operator acting on the brain: A first sketch based on network channel modeling
Special Collection:
Data-Driven Models and Analysis of Complex Systems
Maria Mannone
;
Maria Mannone
a)
(Conceptualization, Formal analysis, Investigation, Methodology, Software, Visualization, Writing – original draft, Writing – review & editing)
1
Institute of Physics and Astronomy, University of Potsdam
, 14476 Potsdam, Germany
2
DSMN, Ca’ Foscari University of Venice
, 30170 Venezia Mestre Italy
3
Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association
, 14473 Potsdam, Germany
a)Author to whom correspondence should be addressed: maria.mannone@uni-potsdam.de
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Peppino Fazio
;
Peppino Fazio
(Conceptualization, Data curation, Investigation, Methodology, Software, Visualization, Writing – original draft)
2
DSMN, Ca’ Foscari University of Venice
, 30170 Venezia Mestre Italy
4
VSB, Technical University of Ostrava
, 708 00 Ostrava, Czechia
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Norbert Marwan
Norbert Marwan
(Conceptualization, Methodology, Supervision, Writing – review & editing)
1
Institute of Physics and Astronomy, University of Potsdam
, 14476 Potsdam, Germany
3
Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association
, 14473 Potsdam, Germany
5
Institute of Geosciences Potsdam, University of Potsdam
, 14473 Potsdam, Germany
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a)Author to whom correspondence should be addressed: maria.mannone@uni-potsdam.de
Chaos 34, 053133 (2024)
Article history
Received:
January 24 2024
Accepted:
May 06 2024
Connected Content
Citation
Maria Mannone, Peppino Fazio, Norbert Marwan; Modeling a neurological disorder as the result of an operator acting on the brain: A first sketch based on network channel modeling. Chaos 1 May 2024; 34 (5): 053133. https://doi.org/10.1063/5.0199988
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