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Modeling neural oscillations and synchronization in brain networks

Authors: Delicado Moll, Rosa Maria;

Modeling neural oscillations and synchronization in brain networks

Abstract

Understanding the dynamics that emerge from large-scale brain models is challenging due to the high complexity of the system. In this project, we build upon the study in [1] to investigate the emergence of complex spatiotemporal patterns in a network of 90 interconnected brain regions, each modeled as an excitatory-inhibitory (E-I) network whose dynamics are described by next generation neural mass models. We analyze the homogeneous oscillatory state of the system and study its stability under uniform perturbations. To assess its stability against non-uniform perturbations, we apply the Master Stability Function formalism, which allows us to characterize the emergence of complex spatiotemporal patterns from the unstable directions of the homogeneous state. [1] Clusella, P., Deco, G., Kringelbach, M. L., Ruffini, G., & Garcia-Ojalvo, J. (2023). Complex spatiotemporal oscillations emerge from transverse instabilities in large-scale brain networks. PLOS Computational Biology, 19(4), e1010781.

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Keywords

Mathematical models, Floquet theory, Classificació AMS::34 Ordinary differential equations::34C Qualitative theory, Lyapunov exponents, Models matemàtics, Classificació AMS::92 Biology and other natural sciences::92B Mathematical biology in general, Dynamics, Neural networks (Computer science), homogeneous invariant manifold, Dynamical systems, Dinàmica, complex spatiotemporal patterns, Xarxes neuronals (Informàtica), Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications, chaos., large-scale brain models, transverse instabilities, computational neuroscience

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average