# 📐  L2 Spec — Pharmacodynamics Dose-Response Inversion — Nominal + Mismatch Specs

**ID:** `L2-404-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-404`](/artifact/l1/L1-404)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.22 · **Delta tier:** 5
> **⛓ On-chain block:** 41555221

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N hill | — | 0.5 – 5.0 |
| Ec50 nm | nm | 0.1 – 1000000.0 |
| N dose groups | — | 3 – 20 |
| Noise cv percent | — | 5 – 100 |

## 2. Tolerance (ε)

**Type:** `fn`

```
1.2 + 0.3 * (20 / noise_CV_percent) ** (-0.5)
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.22 |
| Delta tier | 5 |

## 4. Fingerprint

`a66e936fe16827b37956e9ec68a912521b2e252b375e9422e43e9f3dce96cbdd`

## 5. On-chain Registration

- **Chain hash:** `0x64d8b62985a171bd088893e3d5760131a6a36ace176ec6bc3721417f98f14bc5`
- **Chain tx hash:** `0xc15c34f27a2679d351305989ddc6f942a21d677068fbdce49fe595217a8579e7`
- **Chain block:** `41555221`

---

## File Mapping

This bundle consists of: `L2-404-001.md`, `L2-404-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-404-001.md` | Source of truth — edit this | Human or LLM |
| `L2-404-001.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 `L2-404-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._