Regimes and mechanisms of transient amplification in abstract and biological neural networks.

ABSTRACT: Neuronal networks encode information through patterns of activity that define the networks' function. The neurons' activity relies on specific connectivity structures, yet the link between structure and function is not fully understood. Here, we tackle this structure-function problem with a new conceptual approach. Instead of manipulating the connectivity directly, we focus on upper triangular matrices, which represent the network dynamics in a given orthonormal basis obtained by the Schur decomposition. This abstraction allows us to independently manipulate the eigenspectrum and feedforward structures of a connectivity matrix. Using this method, we describe a diverse repertoire of non-normal transient amplification, and to complement the analysis of the dynamical regimes, we quantify the

SUBMITTER: Christodoulou G 

PROVIDER: S-EPMC9377633 | biostudies-literature | 2022 Aug

REPOSITORIES: biostudies-literature