Cortical Hierarchy Dynamically Organizes Large-Scale Neural Propagation

Flexible behaviour depends on the continuous coordination of sensory-driven and internally guided processing, yet whether the cortical hierarchy spanning lower-order sensory to higher-order association systems dynamically organizes large-scale cortical propagation over time remains unclear. Here we combined source-resolved magnetoencephalography with Riemannian cortical-flow modelling to derive hierarchy consistency, a moment-to-moment measure of the alignment between cortical propagation and the principal sensory-to-association functional gradient. We found that large-scale cortical propagation was dynamically organized by the cortical hierarchy. Hierarchy consistency exhibited a reproducible low-frequency periodic component that defined a characteristic timescale for the continuous updating of propagation direction. This dynamic organization was coordinated by a distributed cortical switchboard spanning the default-mode, salience, control and limbic systems, and was constrained by structural connectivity and network-control architecture. It flexibly adapted to behavioural demands, with hierarchy consistency increasing across both sensorimotor and working-memory states, while its characteristic periodicity shifted in a task-dependent manner. Moreover, hierarchy-related propagation dynamics were systematically reorganized across ageing and associated with higher-order cognitive function. Together, these findings establish the cortical hierarchy as a dynamic organizing principle that continuously shapes the direction and temporal evolution of large-scale cortical propagation to support adaptive behaviour.