Article

Riemannian Tensor Analysis Identifies a Bifurcation State in the Single-Cell Transcriptomic Landscape of Parkinson's Disease

2026-05-13

Abstract excerpt

The transition from healthy aging to Parkinson's disease (PD) involves highly volatile transcriptomic rewiring that remains invisible to conventional mean based analyses. To decode this critical tipping point, we integrated single cell RNA sequencing with a novel Log Euclidean Riemannian tensor framework. By conceptualizing distinct transcriptomic states as symmetric positive definite (SPD) covariance tensors, we...

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Literature Corpus work: 03156539-b0f5-5f73-bbab-fed1f3343021
DOI: 10.64898/2026.05.09.724002

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