Mineral and Acid-Base Homeostasis: Calcium-Phosphate, pH, and Electrolyte Setpoints

This volume treats the third homeostasis axis — mineral (calcium-phosphate), acid-base (pH) and electrolyte (Na/K) setpoints — as defended attractors of multi-organ loops on the jamming-lattice (R19) substrate. Node identity and order come from measured master-gene γ; loop gain sets setpoint stability; disease is loop failure; therapy is keyed to the failed element.

This volume is derived from the jamming branch of VP Theory → /physics/. Node identity and developmental order are cited from the DNA volume (measured γ, never fitted).

Sections

• §1 — Calcium, pH and electrolyte setpoints as loop attractors
  A defended homeostatic setpoint is an Ornstein-Uhlenbeck attractor dx/dt=−k(x−x*)+load+noise; loop gain k sets the rejection error load/k, correction
• §2 — The calcium setpoint loop
  Serum calcium is a loop quantity, defended by a negative-feedback loop: CaSR senses calcium, PTH is the fast effector, vitamin-D the slow arm, bone th
• §3 — The acid-base two-timescale buffer
  Blood pH is a loop quantity defended by two arms on different timescales: respiratory CO₂ (fast) and renal HCO₃ (slow). The Henderson-Hasselbalch rela
• §4 — Bone as the calcium reservoir, and osteoporosis
  Bone is the calcium-phosphate reservoir of the mineral loop. Simulation shows serum calcium held at setpoint while a sustained demand depletes the bon
• §5 — Sodium and potassium setpoints
  Sodium and potassium are loop quantities corrected by renal handling. Sodium loads are cleared via pressure natriuresis (a cited seam to the hemodynam
• §6 — Phosphate regulation and the FGF23 arm
  Phosphate is co-regulated with calcium so the calcium×phosphate product stays below precipitation: the FGF23 lowering arm returns a phosphate load to
• §7 — The sensory seam: ionic sensors are sensory-cell transducers
  A homeostatic comparator and a sensory-cell transducer are the same R19 instrument reading an ionic variable. CaSR (calcium), OTOP1 (acid/sour), ENaC
• §8 — Disease as setpoint, clock and sense-organ failure
  Mineral, acid-base and electrolyte diseases are failures of defended setpoints on the same R19 substrate. Six modes are derived and demonstrated; majo
• §9 — Fundamental therapy keyed to the failure mode
  The framework turns disease into a failed loop element and so names the fundamental therapy. Set-point reset, arm restoration, reservoir refill over w
• §10 — Comparative ionoregulation: which animals defend ions versus conform
  The volume's human model is one species that regulates ions precisely. Across the animal kingdom, whether an animal defends its ions or conforms to th
• §11 — Magnesium, CKD-MBD and humoral hypercalcemia: extending the disease coverage
  Three further major ion diseases close by reusing the six failure modes already derived, with no new primitive: magnesium imbalance is a loop-gain dro
• §12 — Molecular transport dynamics: GHK flux, channel gating, and why the membrane gain is the loop gain
  The molecular 'how' beneath the loop arms is one primitive: the Goldman-Hodgkin-Katz constant-field flux through a gated channel. The central result i
• §13 — Per-species master-gene γ: an honest negative on grounding the cross-species loop gain
  The osmoregulatory master gene ATP1A1 had its promoter γ measured across six species. The measurement is sound, but γ does not order species by loop g
• §14 — The three-lever therapeutic principle: source, gain, setpoint
  A defended homeostatic setpoint dx/dt=−k(x−x*)+load+noise has three handles, so exactly three levers: L1 lowers the load, L2 raises the loop gain k, L
• §15 — Mineral and bone disease under the three levers: osteoporosis, hyperparathyroidism, CKD-MBD
  The owned mineral and bone diseases are read through the three-lever principle, selecting each disease’s primary lever from the corrupted OU parameter
• §16 — Acid-base, electrolyte and stone disease under the three levers
  The owned acid-base, electrolyte and stone diseases complete the three-lever reading. Distal renal tubular acidosis is a dropped bicarbonate-arm gain,

Method

Every quantitative claim is regenerated deterministically (fixed seed; two runs yield an identical sha256) from the reproduction code; the canonical artifact is this HTML. Grades: [F] forced, [V] simulation-verified, [L] cited literature anchor, [O] open with a stated obstacle. The master-gene γ values are measured from NCBI promoters (SantaLucia 1998) and validated against the vendored SIX2 anchor.