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Uncovering functional brain signature via random matrix theory

Almog, Assaf and Roethler, Ori and Buijink, Renate and Michel, Stephan and Meijer, Johanna H and Rohling, Jos H T and Garlaschelli, Diego Uncovering functional brain signature via random matrix theory. Working Paper arXiv (Submitted)

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The brain is organized in a modular way, serving multiple functionalities. This multiplicity requires that both positive (e.g. excitatory, phase-coherent) and negative (e.g. inhibitory, phase-opposing) interactions take place across brain modules. Unfortunately, most methods to detect modules from time series either neglect or convert to positive any measured negative correlation. This may leave a significant part of the sign-dependent functional structure undetected. Here we present a novel method, based on random matrix theory, for the identification of sign-dependent modules in the brain. Our method filters out the joint effects of local (unit-specific) noise and global (system-wide) dependencies that empirically obfuscate such structure. The method is guaranteed to identify an optimally contrasted functional `signature', i.e. a partition into modules that are positively correlated internally and negatively correlated across. The method is purely data-driven, does not use any arbitrary threshold or network projection, and outputs only statistically significant structure. In measurements of neuronal gene expression in the biological clock of mice, the method systematically uncovers two otherwise undetectable, negatively correlated modules whose relative size and mutual interaction strength are found to depend on photoperiod. The neurons alternating between the two modules define a candidate region of functional plasticity for circadian modulation.

Item Type: Working Paper (Working Paper)
Identification Number: arXiv:1708.07046
Uncontrolled Keywords: Biocomplexity
Subjects: Q Science > QC Physics
R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry
Research Area: Economics and Institutional Change
Depositing User: Caterina Tangheroni
Date Deposited: 09 Mar 2018 13:13
Last Modified: 09 Mar 2018 13:13
URI: http://eprints.imtlucca.it/id/eprint/3997

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