TY  - JOUR
AU  - Dick, Michael
AU  - Meegen, Alexander van
AU  - Helias, Moritz
TI  - Linking network- and neuron-level correlations by renormalized field theory
JO  - Physical review research
VL  - 6
IS  - 3
SN  - 2643-1564
CY  - College Park, MD
PB  - APS
M1  - FZJ-2024-05234
SP  - 033264
PY  - 2024
AB  - It is frequently hypothesized that cortical networks operate close to a critical point. Advantages of criticality include rich dynamics well suited for computation and critical slowing down, which may offer a mechanism for dynamic memory. However, mean-field approximations, while versatile and popular, inherently neglect the fluctuations responsible for such critical dynamics. Thus, a renormalized theory is necessary. We consider the Sompolinsky-Crisanti-Sommers model which displays a well studied chaotic as well as a magnetic transition. Based on the analog of a quantum effective action, we derive self-consistency equations for the first two renormalized Greens functions. Their self-consistent solution reveals a coupling between the population level activity and single neuron heterogeneity. The quantitative theory explains the population autocorrelation function, the single-unit autocorrelation function with its multiple temporal scales, and cross correlations.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:001310522300005
DO  - DOI:10.1103/PhysRevResearch.6.033264
UR  - https://juser.fz-juelich.de/record/1030128
ER  -