Diffusion in hydrogel-supported phospholipid bilayer membranes
Bibliographic record
Abstract
Abstract We model a cylindrical inclusion (lipid or membrane protein) translating with velocity $U$ in a thin planar membrane (phospholipid bilayer) that is supported above and below by Brinkman media (hydrogels). The total force $F$ , membrane velocity, and solvent velocity are calculated as functions of three independent dimensionless parameters: $\Lambda = \eta a/ ({\eta }_{m} h)$ , ${\ell }_{1} / a$ and ${\ell }_{2} / a$ . Here, $\eta $ and ${\eta }_{m} $ are the solvent and membrane shear viscosities, $a$ is the particle radius, $h$ is the membrane thickness, and ${ \ell }_{1}^{2} $ and ${ \ell }_{2}^{2} $ are the upper and lower hydrogel permeabilities. As expected, the dimensionless mobility $4\mathrm{\pi} \eta aU/ F= 4\mathrm{\pi} \eta aD/ ({k}_{B} T)$ (proportional to the self-diffusion coefficient, $D$ ) decreases with decreasing gel permeabilities (increasing gel concentrations), furnishing a quantitative interpretation of how porous, gel-like supports hinder membrane dynamics. The model also provides a means of inferring hydrogel permeability and, perhaps, surface morphology from tracer diffusion measurements.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.001 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), 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".