BrainDyn: A Sheaf Neural ODE for Forecasting and Generating Brain Dynamics
BrainDyn is a new model that uses a sheaf neural ordinary differential equation (ODE) to predict and generate brain activity over time on structured brain graphs. It encodes recent history using LSTMs and uses learnable maps to model complex, heterogeneous communication between regions. This allows the system to forecast brain signals from real data like fMRI and EEG, simulate perturbations in controlled experiments, and create new synthetic neural dynamics.