## Problem 276 — rank:328

**Title:** Metabolic-pathway optimisation

**Added binding assumptions (LaTeX):**

```latex
Apply $Sv=0$ only to the declared quasi-steady internal pools. Dynamic toxic-metabolite concentrations require separate mass balances, or a consistent steady-state concentration equation including dilution and exchange. Reversible reactions and shared enzymes need capacity constraints compatible with their actual catalytic mechanism. Thermodynamic feasibility is necessary but not sufficient for kinetic realization; the optimal feasible flux and the experimentally attained productivity remain distinct targets.
```

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