Additional Tier-1 perturbations (dumping, reflux, insulinoma, FD, SIBO)
Five further Tier-1 disorders perturb already-built modules: dumping drives a faster, higher glucose peak plus a biphasic reactive-hypoglycaemia crossing on the §5 loop; reflux oesophagitis reuses the §13 erosion kernel; insulinoma mirrors type-1 diabetes; functional dyspepsia is a mild point on the §11 ICC axis; SIBO stasis rises as the §4 sweep weakens. Mechanisms [V], dumping magnitude [O].
Five scattered Tier-1 disorders, each one moved parameter of a module from §2–§14 (group A, no new primitive). Dumping's early/late metabolic features emerge on the §5 homeostat (the mechanical rapid-emptying magnitude is an honest [O]); reflux-oesophagitis erosion reuses the §13 Kramers kernel; insulinoma is the mirror of §12 type 1, with reactive hypoglycaemia sharing the late-dumping undershoot; functional dyspepsia is the mild end of the §11 ICC axis; SIBO stasis rises as the §4 propulsive sweep weakens. Mechanisms [V]; anchors [L]; the dumping magnitude/nadir, SIBO bacterial load and FD felt component are [O] with stated obstacles.
Five further Tier-1 disorders are grouped here because each is one perturbed parameter of a module already built in §2–§14, adding no new substrate primitive (this is group A). The discipline is unchanged: a single knob is moved, the phenotype is read off, and where the substrate genuinely cannot express a feature it is recorded open [O] with its obstacle, never tuned into agreement.
Dumping syndrome — a metabolic reading on the §5 homeostat
Dumping's defining features are metabolic, and they emerge cleanly on the glucose loop. Early dumping: the same carbohydrate load delivered faster (a sharper meal pulse) drives a monotonically higher glucose peak — from 6.052 mM at slow delivery to 9.103 mM at the fastest — because the loop's finite insulin response cannot keep pace with the steepened input.
| delivery window (shorter = faster) | glucose peak (mM) |
|---|---|
| 6 | 6.05 |
| 4 | 6.45 |
| 3 | 6.90 |
| 2 | 7.58 |
| 1.5 | 8.22 |
| 1 | 9.10 |
Late dumping is the same delivery speed coupled to an exaggerated incretin-driven insulin response: the curve becomes biphasic — an early hyperglycaemic peak followed by a reactive nadir that crosses the cited 3.9 mM hypoglycaemia threshold, deepening with delivery speed. This ties late dumping to insulinoma and reactive hypoglycaemia below through the shared §5 reactive undershoot.
| delivery window | peak (mM) | reactive nadir (mM) | crosses hypo |
|---|---|---|---|
| 6 | 6.05 | 4.88 | — |
| 4 | 6.45 | 4.66 | — |
| 3 | 6.90 | 4.53 | — |
| 2 | 7.58 | 4.19 | — |
| 1.5 | 8.22 | 3.88 | ✓ < 3.9 |
| 1 | 9.10 | 3.32 | ✓ < 3.9 |
The mechanical rapid-emptying magnitude is the honest negative. The §4 transporter is a conserved-bolus hard occlusion wave whose displacement saturates at the tube end, so it cannot express emptying faster than normal (0.006% overshoot at the fastest observable) — the slow side reduces correctly, but the rapid side is geometrically pinned. The true lesion is loss of the gastric accommodation reservoir and pyloric brake, a Tier-2 element (group B); this magnitude is open [O].
Treatment (model reading). The target is the inverse of the prokinetic goal of §11/§14: slow gastric emptying and carbohydrate delivery. Smaller, more frequent, lower-glycaemic meals broaden the delivery pulse and flatten the peak; surgically, restoring the reservoir / pyloric brake is the mechanical target. The direction is forced [V]; absolute efficacy and the absolute nadir are open [O].
Reflux oesophagitis — the §13 barrier kernel on the oesophageal mucosa
The mucosal-injury part of reflux oesophagitis needs no new model: oesophageal acid exposure is a sustained bias h that lowers the mucosal-integrity barrier, read on the identical exact-barrier Kramers kernel as §13. Erosion relative risk rises monotone and convex in acid-exposure dose with the same calibrated slope (κ = 0.060544) as the gastritis curve — no new anchor, no shape fit.
| acid exposure (normalised dose) | erosion relative risk |
|---|---|
| 0 | 1.00 |
| 0.5 | 2.03 |
| 1 | 4.00 |
| 1.5 | 7.60 |
| 2 | 13.94 |
Treatment (model reading). Lower the acid-exposure bias h — acid suppression (proton-pump inhibitors) moves the system back down the convex erosion curve. Eliminating the reflux source (lower-oesophageal-sphincter incompetence) needs the Tier-2 sphincter gate (group B); this section owns only the acid-injury crossing. The target direction is forced [V]; absolute efficacy and incidence are open [O].
Insulinoma and reactive hypoglycaemia — the mirror of type 1 on the §5 loop
Insulinoma is an autonomous, unregulated insulin source on the validated glucose loop: it pulls the fasting fixed point below the 5 mM setpoint and below the cited 3.9 mM threshold, deepening monotonically with source strength — the exact mirror of §12 type-1 capacity loss, where a missing insulin arm instead raised glucose past 7 mM. Removing the source returns the loop to setpoint (4.819 mM), the resection prediction.
| autonomous insulin source | fasting glucose (mM) | crosses hypo |
|---|---|---|
| 0 | 5.00 | — |
| 1 | 4.26 | — |
| 2 | 3.71 | ✓ < 3.9 |
| 4 | 2.04 | ✓ < 3.9 |
| 6 | 1.06 | ✓ < 3.9 |
| 8 | 0.53 | ✓ < 3.9 |
| 12 | 0.05 | ✓ < 3.9 |
Reactive hypoglycaemia is a meal followed by an exaggerated, delayed insulin response that drives a reactive undershoot below baseline, deepening with the overshoot — the same §5 mechanism behind late dumping, a distinct aetiology with the same loop signature.
| post-prandial insulin overshoot | peak (mM) | reactive nadir (mM) |
|---|---|---|
| 0 | 6.38 | 5.00 |
| 1 | 6.12 | 4.78 |
| 2 | 6.08 | 4.36 |
| 3 | 6.07 | 3.97 |
| 4 | 6.07 | 3.60 |
Treatment (model reading). Insulinoma — remove the autonomous source (surgical resection / limit the unregulated secretion term); the model shows the loop returns to setpoint once the source is gone. Reactive hypoglycaemia — blunt the post-prandial insulin spike (slower carbohydrate, smaller meals). Target direction is forced [V]; absolute glucose and efficacy are open [O].
Functional dyspepsia (motility component) — the mild end of the §11 ICC axis
A mild reduction of gastric contraction amplitude (a mild §11 ICC lesion) produces a mild emptying-rate delay — present and monotone, but far short of the severe-gastroparesis collapse. The functional-dyspepsia operating point (98.1% of normal emptying) is clearly distinct from severe gastroparesis on the same axis (20.6%); the delay is resolved only on a short emptying-rate window, before completion saturates it.
| contraction amplitude (fraction) | emptying rate (% of normal) |
|---|---|
| 1.0 | 100.0% |
| 0.9 | 99.4% |
| 0.8 | 98.1% |
| 0.7 | 95.6% |
| 0.6 | 90.7% |
| 0.4 | 66.0% |
| 0.2 | 20.6% |
Treatment (model reading). Prokinetics raise the effective gastric contraction (as in §11) and restore the emptying rate. The post-prandial-distress / early-satiation (felt) component is the Tier-2 accommodation reservoir (fundic-relaxing agents) plus afferent gain (neuromodulators), with the felt interpretation living in the mind volume behind the firewall. The motility target is [V] partial; the felt component is open [O].
SIBO (motility component) — stasis from a weakened §4 sweep
Small-intestinal bacterial overgrowth's motility predisposition is loss of the strong periodic housekeeping propulsion: reducing the propulsive drive on the §4 transporter produces stasis, read as a rising retained proximal fraction, with a collapse mirroring the colonic-inertia threshold of §14. The lumen clears at normal drive (0.0 retained) and holds most of the bolus at low drive (0.978 retained).
| propulsive drive | retained proximal fraction |
|---|---|
| 1.0 | 0.000 |
| 0.7 | 0.000 |
| 0.5 | 0.001 |
| 0.4 | 0.017 |
| 0.3 | 0.117 |
| 0.2 | 0.641 |
| 0.1 | 0.978 |
Treatment (model reading). Restore the periodic propulsive sweep — prokinetics / motilin-class agents reinstate clearance and lower the retained fraction. The bacterial overgrowth load itself is out of model (it needs a microbial layer), and the explicit migrating-motor-complex periodic sweep is deferred to Tier-2 (group B) under the No-Tuning rule. The motility target is [V]; the bacterial load is open [O].
Across all five: the metabolic, erosion and stasis mechanisms are forced by the substrate [V]; the hypoglycaemia and NSAID anchors are cited [L]; and four features stay honestly open [O] with stated obstacles — the dumping mechanical magnitude and absolute nadir, the SIBO bacterial load, and the functional-dyspepsia felt component — each pointing at a Tier-2 element rather than a fitted coefficient.