Correct Equilibrium Shape Equation of Axisymmetric Vesicles
Why this work is in the frame
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Bibliographic record
Abstract
Under favorable conditions, lipid molecules consisting hydrophobic tail and hydrophilic head groups, self assemble to form vesicles in aqueous medium with a lipid bilayer separating the inner and outer solutions [Ino96, Kom96]. Vesicles have been attracting enormous attentions because of their biological significance with numerous applications such as drug delivery and targeting, medical imaging, catalysis, etc. [KR96, Zan96]. It is recognized that the equilibrium shape of the vesicle is determined by minimizing a shape energy given by the spontaneous-curvature model of Helfrich [Hel73, OH89]:
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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) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 it