Hyperspherical geometry positions the lipidome as a partly independent axis of human brain organization
Bibliographic record
Abstract
Abstract The brain’s transcriptome is well mapped, but the spatial organization of lipids—over half of brain dry mass—remains poorly defined. We profiled lipidomic (419 species) and transcriptomic (15,013 genes) signatures from 35 anatomically defined regions in four healthy adult donors, measured from the same tissue samples. Both modalities recapitulate major neuroanatomical divisions, yet the lipidome shows distinctive features: a pronounced white–gray asymmetry, a smooth neocortical rostrocaudal gradient, and limbic-specific lipid clusters absent in transcriptomic space. Using regression against gene-expression principal components and two null models (random and anatomy-aware), we define three data-driven classes of lipid–gene relationships: Synchronizers (10%) tightly coupled to gene programs, Anchors (67%) predictable at levels expected from gross anatomy and cell-type composition, and Drifters (23%) largely transcription-independent. A simple geometric framework unifies these patterns: after centering and normalization, molecular profiles lie on a hypersphere where two interpretable coordinates—polar latitude relative to transcriptome-defined white/gray poles and nearest-gene angular distance—jointly index coupling; an analytical null quantitatively explains the observed scaling. Key effects are robust in leave-one-donor-out analyses and position the lipidome as a partly independent organizational axis of the human brain. Broadly, our results provide an interpretable geometric framework for multi-omics integration, supported by an interactive platform.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".