## Problem 257 — rank:181

**Title:** Optimal cancer combination therapy

**Added binding assumptions (LaTeX):**

```latex
Use an infimum unless compact admissible schedules and continuity establish attainment; an implementable numerical answer needs a declared optimization-gap tolerance. Toxicity inequalities are componentwise and apply to the full coupled pharmacokinetic and host state. A parameter-set robust constraint is conditional on that set covering the relevant biology and is not an unconditional patient-safety guarantee. Keep model calibration, numerical optimization and prospective validation as separate tasks.
```

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