## Problem 254 — rank:40

**Title:** Cancer-cell plasticity and pan-resistance

**Added binding assumptions (LaTeX):**

```latex
Give per-cell birth, death and transition rates and the resulting multitype count-process generator, including mutation inheritance. Supply a toxicity-state model or a separately fixed admissible schedule set. State whether the resistant-cell event and total-burden target hold uniformly over a calibrated parameter set or under one predictive law. A small terminal resistant count does not guarantee that resistance never appeared earlier or cannot recur later.
```

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