The Mechanism · Gated-generation receipt

gen-define-the-sodium-potassium-pump-and-give-one-short-worked-e-4a0e

stable pending witness
2026-05-29 08:37:38 UTC · anthropic/claude-sonnet-4-5

Prompt

Define the sodium-potassium pump and give one short worked example.
67 chars

Generation

# Sodium-Potassium Pump ## Definition The **sodium-potassium pump** (Na⁺/K⁺-ATPase) is an active transport protein in cell membranes that maintains concentration gradients by pumping 3 sodium ions (Na⁺) OUT of the cell and 2 potassium ions (K⁺) INTO the cell against their concentration gradients, using energy from ATP hydrolysis. ## Key Features: - **Active transport** (requires energy) - Uses 1 ATP per cycle - Creates electrochemical gradients essential for nerve impulses, muscle contraction, and cell volume regulation --- ## Worked Example **Question:** A neuron uses its sodium-potassium pump continuously. If the pump completes 100 cycles, how many ions of each type are transported, and how many ATP molecules are consumed? **Solution:** Per cycle: - 3 Na⁺ pumped OUT - 2 K⁺ pumped IN - 1 ATP consumed For 100 cycles: - **Na⁺ transported out:** 3 × 100 = **300 Na⁺ ions** - **K⁺ transported in:** 2 × 100 = **200 K⁺ ions** - **ATP consumed:** 1 × 100 = **100 ATP molecules** **Result:** The pump maintains the cell's resting potential by removing 300 sodium ions, importing 200 potassium ions, and consuming 100 ATP molecules.
22 tokens in · 367 tokens out · 8219 ms · $0.0056

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
8225.9 ms
Base LLM
8218.9 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0056

Trail

08:37:38 received prompt_chars=67 verifiers=['scripture_anchors', 'theology_doctrine']
08:37:38 red_gate decision=pass reason=no disqualifying input patterns detected
08:37:46 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=22 tokens_out=367 latency_ms=8218.9 cost_usd=0.0056
08:37:46 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:37:46 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:37:46 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:37:46 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:37:46 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:37:46 signed hash_algo=sha256 hash=sha256:fee37cea49e5cf534190c8df4c989f3b828c47ab65ff4087bce763c83dbc80bc

Content hash

sha256:fee37cea49e5cf534190c8df4c989f3b828c47ab65ff4087bce763c83dbc80bc

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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