# Poisson Flow Model of Cortical Folding Pattern

arXiv: https://arxiv.org/abs/2604.17291 · HTML: https://mlsanity.com/paper/2604.17291/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 19 Apr 2026.

## Built on by (most cited first, 1 of 1)

- [Poisson Flow of Cortical Folding in Juvenile Myoclonic Epilepsy](https://mlsanity.com/paper/2606.08404/) (2026)

## Abstract (arXiv)

Cortical folding reflects coordinated neurodevelopmental processes and provides a sensitive marker of neurological disease. In juvenile myoclonic epilepsy (JME), structural abnormalities are subtle and spatially distributed, limiting the sensitivity of conventional morphometric measures such as cortical thickness. We introduce a Poisson flow model derived from gradients of the mean curvature field on the cortical surface. The method yields a smooth scalar field obtained from a Poisson equation, whose surface gradient defines a flow representation of folding organization. This representation enables spatially coherent characterization of sulcal--gyral patterns and provides a principled geometric framework for studying distributed cortical alterations in JME.