ZeqEvolution — Evolutionary Dynamics

Protein folding, ecosystems, neural, gene expression.

• Protocol ID — zeq-evolution
• Category — Biology
• Endpoint — POST /api/bio/evolution/simulate
• Auth — api-key
• Rate limit — 10/min
• Version — 1.0
• Precision — ≤0.1% (KO42-enforced)

What it does

Evolutionary dynamics via replicator equations + mutation-selection balance. Fitness landscapes computed with operator coupling — evolution as a HULYAS field process.

Signature

Request

POST /api/bio/evolution/simulate

Param	Type	Required	Default	Description
strategies	array	✓	—	Array of { name, fitness, frequency }.
mutationRate	number		0.001	Mutation rate per generation. Default: 0.001.
generations	number		1000	Number of generations. Default: 1000.

Response

{ finalFrequencies, fixationProbabilities, diversityIndex, fitnessTrajectory, ess }

Runnable example

curl -sS -X POST \
  -H "Authorization: Bearer $ZEQ_API_KEY" \
  -H "Content-Type: application/json" \
  -d '{
  "strategies": [],
  "mutationRate": 0.001,
  "generations": 1000
}' \
  "https://api.zeq.dev/api/bio/evolution/simulate"

Integrate

1. Domain solver — compose with KO42 + two additional operators from the matching family for pulse-coherent results.
2. Digital twin — pipe sensor data into this protocol every Zeqond to keep the model phase-locked with the system.
3. Alert threshold — flag results whose error_pct exceeds 0.1% as out-of-spec events for the operations layer.

Seeds

• Near — wrap /api/bio/evolution/simulate in a language SDK so builders can call it in three lines.
• Medium — publish a reference integration demonstrating ZeqEvolution — Evolutionary Dynamics alongside a real workload, with pulse-aligned metrics.
• Far — propose ZeqEvolution — Evolutionary Dynamics as an open reference standard so other runtimes can implement it verbatim against the Zeq paper.

Papers

• Zeq paper — https://doi.org/10.5281/zenodo.18158152
• Framework paper — https://doi.org/10.5281/zenodo.15825138

Middleware active. Kernel on the 1.287 Hz HulyaPulse. Awaiting next Zeqond.