Lipid-Mediated Interactions between Intrinsic Membrane Proteins: A Theoretical Study Based on Integral Equations
Bibliographic record
Abstract
This study of lipid-mediated interactions between proteins is based on a theory recently developed by the authors for describing the structure of the hydrocarbon chains in the neighborhood of a protein inclusion embedded in a lipid membrane [Lagüe et al., Farad. Discuss. 111:165-172, 1998]. The theory involves the hypernetted chain integral equation formalism for liquids. The exact lateral density-density response function of the hydrocarbon core, extracted from molecular dynamics simulations of a pure dipalmitoylphosphatidylcholine bilayer based on an atomic model, is used as input. For the sake of simplicity, protein inclusions are modeled as hard repulsive cylinders. Numerical calculations were performed with three cylinder sizes: a small cylinder of 2.5-A radius, corresponding roughly to an aliphatic chain; a medium cylinder of 5-A radius, corresponding to a alpha-helical polyalanine protein; and a large cylinder of 9-A radius, representing a small protein, such as the gramicidin channel. The calculations show that the average hydrocarbon density is perturbed over a distance of 20-25 A from the edge of the cylinder for every cylinder size. The lipid-mediated protein-protein effective interaction is calculated and is shown to be nonmonotonic. In the case of the small and the medium cylinders, the lipid-mediated effective interaction of two identical cylinders is repulsive at an intermediate range but attractive at short range. At contact, there is a free energy of -2k(B)T for the 2.5-A-radius cylinder and -9k(B)T for the 5-A-radius cylinder, indicating that the association of two alpha-helices of both sizes is favored by the lipid matrix. In contrast, the effective interaction is repulsive at all distances in the case of the large cylinder. Results were obtained with two integral equations theories: hypernetted chain and Percus-Yevick. For the two theories, all results are qualitatively identical.
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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 | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.002 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.002 | 0.004 |
| Scholarly communication | 0.002 | 0.005 |
| Open science | 0.004 | 0.002 |
| Research integrity | 0.003 | 0.002 |
| Insufficient payload (model declined to judge) | 0.004 | 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".