Heterogenous brain network models: neural field theory meets connectomics

This session provides an introduction to a general framework for macro-scale neural field modelling, whereby cortical patches or brain areas are represented as translationally invariant neural fields, and are interconnected by long-range white matter connections of the kind reconstructed by tractography-based anatomical connectomes. Topics covered include:
Neural field model fundamentals, including (a high-level summary of) the Jirsa-Haken approach to formulating neural field PDEs
The progression from simple two-patch neural field systems to connectome-based networks with neural fields embedded at their nodes.
Connections between these models and homogeneous neural fields defined on the folded cortical surface
Practical considerations, including the choice of patch sizes, spatial resolutions, regularization techniques, Laplace operators, and connectome density mappings.
Current advancements in the field, including applications to high-resolution neural field modeling for brain stimulation and epilepsy
This session will bridge theoretical concepts with their computational and clinical implications, equipping participants with foundational knowledge and insights into the future directions of neural field modeling.