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Dynamic Brain Networks with Prescribed Functional Connectivity

2023-10-11Unverified0· sign in to hype

Umberto Casti, Giacomo Baggio, Danilo Benozzo, Sandro Zampieri, Alessandra Bertoldo, Alessandro Chiuso

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Abstract

In this paper, we consider stable stochastic linear systems modeling whole-brain resting-state dynamics. We parametrize the state matrix of the system (effective connectivity) in terms of its steady-state covariance matrix (functional connectivity) and a skew-symmetric matrix S. We examine how the matrix S influences some relevant dynamic properties of the system. Specifically, we show that a large S enhances the degree of stability and excitability of the system, and makes the latter more responsive to high-frequency inputs.

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