## Problem 004 — rank:51

**Title:** Quantitative allostery

**Added binding assumptions (LaTeX):**

```latex
All four constrained free energies use the same temperature, solvent, volume convention and ligand reference states. State whether both sites bind the same ligand and account for symmetry factors in experimentally inferred constants. A coupling cycle identifies a thermodynamic interaction, not a unique structural transmission path. The residual target is mutant-transfer prediction, not proving the four-term identity.
```

**Direct edits:** 0. **Fresh external checks:** None; supplied sources retained as provenance.