## Problem 052 — rank:125

**Title:** Dynamic metabolic control

**Added binding assumptions (LaTeX):**

```latex
Specify initial metabolite and enzyme states and whether enzymes are concentrations or mass fractions; synthesis, dilution and budgets must use the same convention. For reversible reactions, define chemical potentials, chemostats and the sign convention for each oriented net flux. Positivity, budget invariance and trajectory existence are required; the empirical target is the inferred regulatory policy, not just feasibility of the balance equations.
```

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