A phenomenological model of whole brain dynamics using a network of neural oscillators with power-coupling

Abstract We present a general, trainable oscillatory neural network as a large-scale model of brain dynamics. The model has a cascade of two stages - an oscillatory stage and a complex-valued feedforward stage - for modelling the relationship between structural connectivity and functional connectivi...

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Main Authors: Anirban Bandyopadhyay, Sayan Ghosh, Dipayan Biswas, V. Srinivasa Chakravarthy, Raju S. Bapi
Format: Article
Language:English
Published: Nature Portfolio 2023-10-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-43547-3
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author Anirban Bandyopadhyay
Sayan Ghosh
Dipayan Biswas
V. Srinivasa Chakravarthy
Raju S. Bapi
author_facet Anirban Bandyopadhyay
Sayan Ghosh
Dipayan Biswas
V. Srinivasa Chakravarthy
Raju S. Bapi
author_sort Anirban Bandyopadhyay
collection DOAJ
description Abstract We present a general, trainable oscillatory neural network as a large-scale model of brain dynamics. The model has a cascade of two stages - an oscillatory stage and a complex-valued feedforward stage - for modelling the relationship between structural connectivity and functional connectivity from neuroimaging data under resting brain conditions. Earlier works of large-scale brain dynamics that used Hopf oscillators used linear coupling of oscillators. A distinctive feature of the proposed model employs a novel form of coupling known as power coupling. Oscillatory networks based on power coupling can accurately model arbitrary multi-dimensional signals. Training the lateral connections in the oscillator layer is done by a modified form of Hebbian learning, whereas a variation of the complex backpropagation algorithm does training in the second stage. The proposed model can not only model the empirical functional connectivity with remarkable accuracy (correlation coefficient between simulated and empirical functional connectivity- 0.99) but also identify default mode network regions. In addition, we also inspected how structural loss in the brain can cause significant aberration in simulated functional connectivity and functional connectivity dynamics; and how it can be restored with optimized model parameters by an in silico perturbational study.
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spelling doaj.art-a9498b81b7f24cd084f99b1192044d4f2023-11-20T09:14:41ZengNature PortfolioScientific Reports2045-23222023-10-0113111310.1038/s41598-023-43547-3A phenomenological model of whole brain dynamics using a network of neural oscillators with power-couplingAnirban Bandyopadhyay0Sayan Ghosh1Dipayan Biswas2V. Srinivasa Chakravarthy3Raju S. Bapi4Indian Institue of Technology Madras, BiotechnologyIndian Institue of Technology Madras, BiotechnologyIndian Institue of Technology Madras, BiotechnologyIndian Institue of Technology Madras, BiotechnologyIIIT Hyderabad, BiotechnologyAbstract We present a general, trainable oscillatory neural network as a large-scale model of brain dynamics. The model has a cascade of two stages - an oscillatory stage and a complex-valued feedforward stage - for modelling the relationship between structural connectivity and functional connectivity from neuroimaging data under resting brain conditions. Earlier works of large-scale brain dynamics that used Hopf oscillators used linear coupling of oscillators. A distinctive feature of the proposed model employs a novel form of coupling known as power coupling. Oscillatory networks based on power coupling can accurately model arbitrary multi-dimensional signals. Training the lateral connections in the oscillator layer is done by a modified form of Hebbian learning, whereas a variation of the complex backpropagation algorithm does training in the second stage. The proposed model can not only model the empirical functional connectivity with remarkable accuracy (correlation coefficient between simulated and empirical functional connectivity- 0.99) but also identify default mode network regions. In addition, we also inspected how structural loss in the brain can cause significant aberration in simulated functional connectivity and functional connectivity dynamics; and how it can be restored with optimized model parameters by an in silico perturbational study.https://doi.org/10.1038/s41598-023-43547-3
spellingShingle Anirban Bandyopadhyay
Sayan Ghosh
Dipayan Biswas
V. Srinivasa Chakravarthy
Raju S. Bapi
A phenomenological model of whole brain dynamics using a network of neural oscillators with power-coupling
Scientific Reports
title A phenomenological model of whole brain dynamics using a network of neural oscillators with power-coupling
title_full A phenomenological model of whole brain dynamics using a network of neural oscillators with power-coupling
title_fullStr A phenomenological model of whole brain dynamics using a network of neural oscillators with power-coupling
title_full_unstemmed A phenomenological model of whole brain dynamics using a network of neural oscillators with power-coupling
title_short A phenomenological model of whole brain dynamics using a network of neural oscillators with power-coupling
title_sort phenomenological model of whole brain dynamics using a network of neural oscillators with power coupling
url https://doi.org/10.1038/s41598-023-43547-3
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