Title: Dimensionality and topology of brain-wide attractor dynamics
Authors: Satohiro Tajima - University of Geneva (Switzerland) [presenting]
Abstract: Brain-wide, complex neural dynamics are considered crucial for cognitive functions. To understand the principles of human-like high-level cognitions, we need not only to advance recording technologies to track high-dimensional collective activities of neurons, but also to develop new theoretical perspectives to reveal their structures. We present an approach to understanding the structures and functions of dynamics based on data analysis methods combining the delay-embedding theorems in nonlinear dynamics and algebraic topology. The method enables us to characterize the nonlinear couplings among reconstructed attractor dynamics in wide-field electrophysiological data. This reveals a universal hierarchy of cross-area interactions and topological properties in (un)conscious brain dynamics, demonstrating its wide application to deciphering complex biological systems.