# ⚛  L1 Principle — Cancer as Evolution — Adaptive Therapy

**ID:** `L1-903` · **Status:** ⊙ Testnet (genesis catalog)

> **🌐 Domain:** Oncology — *Evolutionary Dynamics*

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## 🧠 1. Introduction

**Cancer as Evolution — Adaptive Therapy** is a **inverse problem**, within the **Evolutionary Dynamics** sub-domain of **Oncology**.

## ⚙ 2. Forward Model

```
Competing sensitive/resistant clones under drug schedule u(t): dx_s/dt = r_s x_s(1−N/K) − d·u·x_s, dx_r/dt = r_r x_r(1−N/K); control to delay competitive release.
```

## 🔬 3. Physics Fingerprint

| Property | Value |
|---|---|
| Domain | Oncology |
| Sub domain | Evolutionary Dynamics |

## 📡 4. Measurement Model

| Metric | Value |
|---|---|
| Metric | TTP_months |

## ⚖ 6. Hardness Function

Hardness scales as **`grand_challenge`** on **TTP_months**.

## 💾 7. Reference Dataset

- **Adaptive-therapy prostate PSA trajectories** · weight 0.5 · IPFS _(not pinned yet)_
- **ctDNA clonal-dynamics longitudinal panel** · weight 0.3 · IPFS _(not pinned yet)_
- **PDX drug-response time series** · weight 0.2 · IPFS _(not pinned yet)_

**Staked PWM:** 5000.0

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## File Mapping

This bundle consists of: `L1-903.md`, `L1-903.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L1-903.md` | Source of truth — edit this | Human or LLM |
| `L1-903.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 `L1-903`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._