Geometry-Constrained Coupling Drives Critical Dynamics Across Neural Manifolds

Geometry-constrained coupling between cortical and hippocampal neural fields yields distinct dynamical regimes, preserving intrinsic alpha (8–12 Hz) and theta (4–8 Hz) rhythms at moderate coupling.

• Why it matters: Neural activity evolves on curved anatomical manifolds, but coupling across distinct surfaces lacks a natural point-to-point mapping, limiting how collective cortico-hippocampal dynamics can be modeled.
• What they did: The authors build a geometry-constrained neural-field theory using quasi-conformal mapping to embed two geometrically distinct surfaces into a shared coordinate system for spatially organized reciprocal interactions.
• The result: With stronger coupling and increased hippocampal excitability, the model produces coherent low-frequency activity that recapitulates key features of human and rodent hippocampal seizures, enabling collective state transitions.

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