## Problem 292 — rank:261

**Title:** Origin of biological energy coupling

**Added binding assumptions (LaTeX):**

```latex
Interpret the power inequalities as steady-state or cycle-averaged balances with no uncounted drawdown of initially stored free energy. Instantaneous productive output can exceed current input during reservoir discharge without violating thermodynamics. Separate useful product storage/export from auxiliary storage and dissipative losses to avoid double counting. The replication contrast fixes the uncoupled control and accounts for any changes in material transport or catalyst stability.
```

**Direct edits:** 1. **Fresh external checks:** None; supplied sources retained as provenance.