Cardiorespiratory Emergence Overview
Heart and lung emerge from their measured master-gene stacking stabilities and turn out to be the same FitzHugh–Nagumo relaxation oscillator, differing only in recovery time. From one cited time anchor the model derives breathing rate, the apnea threshold, respiratory sinus arrhythmia, the Cheyne–Stokes period, baroreflex regulation, and a shared carcinogen dose–response kernel.
Heart (NKX2-5) and lung (NKX2-1) are emerged from measured γ and share one relaxation oscillator, separated only by τs (18 vs 95). Resting HR = 1.17 Hz anchors time; five reflex/coupling targets and an R19 oncology kernel follow.
One substrate, two organs, one oscillator
The heart and the lung are emerged here from their measured master-gene stacking stabilities γ, not assigned by hand. The cardiac switch follows γ(NKX2-5) = 1.513 and the respiratory switch follows γ(NKX2-1) = 1.509, both read from the DNA gene-clock and never refitted here.
Both organs are the SAME FitzHugh–Nagumo relaxation oscillator from the shared substrate; only the slow recovery time τs differs (heart τs = 18, lung τs = 95). The longer the recovery, the slower the rhythm, so the heart runs fast and the lung runs slow on one mechanism.
On that DNA-anchored oscillator this volume derives the full functional dynamics: it sets a single physiological time anchor, then derives breathing rate, the apnea (periodic-breathing) threshold, respiratory sinus arrhythmia, the Cheyne–Stokes period, and baroreflex regulation — plus a shared R19 oncology kernel for carcinogen dose–response.
Developmental order is a pure γ readout
Ordering the two organs by ascending γ gives lung → heart. The identity and the developmental order are established results of the DNA gene-clock, read out here exactly; on that DNA-anchored foundation this volume derives the full functional dynamics. The complete emergence chain — gene → γ → R19 switch → oscillator — is set out in §10.
What is forced, anchored, and open
| target | result | grade |
|---|---|---|
| T1 eupnea period | 16.86 breaths/min (ratio 0.240 of beat) | [V] ratio / [L] rate |
| T2 apnea threshold | periodic breathing onsets at loop gain ≈ 1 | [V] |
| T3 RSA | HF-HRV peak locks to fresp only when coupled | [V] |
| T4 Cheyne–Stokes | period ≈ 2 × circulatory delay | [V] |
| T5 baroreflex | -1 bpm/mmHg, regulates to setpoint | [L] |
| oncology | RR(0)=1, no threshold, convex shape | [F]/[V]; absolute [O] |
Every number on every page is regenerated by the deterministic engine and verified by a two-run identical-sha256 check; the stress battery must be green before this site can be written.