Mapping conservative Fokker–Planck entropy in neural systems

Erik D Fagerholm*, Gregory Scott, Robert Leech, Federico E Turkheimer, Karl J Friston and Milan Brázdil

J. Phys. D: Appl. Phys. 58 145401 DOI 10.1088/1361-6463/adb318

Q2

18 Feb 2025

No description

Mapping the flow of information through the networks of the brain remains one of the most
important challenges in computational neuroscience. In certain cases, this flow can be
approximated by considering just two contributing factors—a predictable drift and a
randomized diffusion. We show here that the uncertainty associated with such a drift-diffusion
process can be calculated in terms of the entropy associated with the Fokker–Planck equation.
This entropic evolution comprises two components: an irreversible entropic spread that always
increases over time and a reversible entropic current that can increase or decrease locally within
the system. We apply this dynamic entropy decomposition to two-photon imaging data collected
in the murine visual cortex. Our analysis reveals maps of conserved entropic flow emanating
from lateral medial, anterolateral, and rostrolateral regions toward the primary visual cortex
(V1). These results highlight the role of V1 as an entropic sink, facilitating the redistribution of
information throughout the visual cortex. These findings offer new insights into the hierarchical
organization of cortical processing and provide a framework for exploring information
dynamics in complex dynamical systems.

Keywords: entropy, neural, Fokker–Planck


More articles

All articles

You are running an old browser version. We recommend updating your browser to its latest version.

More info