# 📐  L2 Spec — Tumor Growth Model Inversion — Nominal + Mismatch Specs

**ID:** `L2-410-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-410`](/artifact/l1/L1-410)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.25 · **Delta tier:** 5
> **⛓ On-chain block:** 41555222

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Tumor volume mm3 | — | 10 – 100000 |
| N imaging timepoints | — | 3 – 50 |
| Imaging noise percent | — | 2 – 50 |
| Growth rate lambda day | — | 0.001 – 0.5 |

## 2. Tolerance (ε)

**Type:** `fn`

```
10 + 5 * (imaging_noise_percent / 10) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.25 |
| Delta tier | 5 |

## 4. Fingerprint

`840f8eb3224f74c538aab83bea3539f35c221493f913e293d2a29d38b2f1ea9b`

## 5. On-chain Registration

- **Chain hash:** `0xb391919df97c7668bd5e90d538b83011ca392faceb890f614ee4f5565b0fbdc2`
- **Chain tx hash:** `0x8473a5ca5c81322e584ead0afe8f602aacca5a447b05cbbe79da42585520b9c6`
- **Chain block:** `41555222`

---

## File Mapping

This bundle consists of: `L2-410-001.md`, `L2-410-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-410-001.md` | Source of truth — edit this | Human or LLM |
| `L2-410-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |

**Prompt for your LLM after editing this Markdown:**

> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.

_This Markdown was auto-synthesized from the catalog row for `L2-410-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._