La Profilée and the Structural Law of Biological Persistence: Retroactive Structural Analysis of Cancer, Type 2 Diabetes, Sepsis, Coral Bleaching, and Aging

La Profilée (LP) is a structural theory of persistence under real transformation that specifies a universal necessary condition for identity preservation: the Integration Ratio IR = R / (F · I) must remain at or below 1. When IR > 1 is sustained, structural collapse of the persisting identity is the terminal consequence. Prior work has established this condition across organisational and technological collapse (Maibom, 2026d, 2026e) and has introduced a biological vocabulary mapping (Maibom, 2026c). This paper applies LP to five documented biological failure modes — cancer, type 2 diabetes, sepsis, coral bleaching, and aging — each representing a distinct structural pathway to IR > 1 at a different biological scale (cellular, organ, organism, ecosystem, lifespan). The analysis demonstrates that in all five cases, the LP structural condition IR > 1 is present and mechanistically documented in the biological literature well before the visible pathological manifestation. Three structurally distinct biological collapse types emerge from the analysis: Type 1 — Module explosion with Frame erosion (Cancer): Uncontrolled cellular proliferation = M-explosion. Genomic instability = F-erosion. Apoptosis evasion = Coupling inversion. Hanahan and Weinberg's hallmarks of cancer (2000, 2011, 2022) map directly onto LP's overload spiral. Type 2 — Frame Rigidity Trap via progressive I-collapse (Type 2 Diabetes): Pancreatic β-cell identity (F) is real; insulin resistance generates progressive R-escalation; β-cell compensation is the system's I-response under rising CL; exhaustion and dedifferentiation = I → 0. Swisa et al. (2017): "metabolic stress and compromised identity of pancreatic beta cells" is LP Regime E in clinical language. Type 3 — Dual-Phase Collapse (Sepsis): Unlike organisational collapses, sepsis exhibits a two-phase structural sequence: first R-explosion (cytokine storm = sudden massive R-increase), then I-collapse (immune exhaustion/paralysis = I → 0). Both phases produce IR > 1, but through different mechanisms in sequence. Type 4 — Frame Dissolution through Symbiosis Collapse (Coral Bleaching): The coral–algal symbiosis is the Frame. Thermal stress does not directly destroy F — it first destabilises the symbiotic nutrient cycling (I collapses) before visible bleaching occurs. The PNAS (2021) finding that heat stress destabilises nutrient cycling well before symbiont expulsion is the biological confirmation of LP's T_visible mechanism: the structural condition IR > 1 exists before the visible pathological event. Type 5 — Graduated Decline (Aging): The only case in the LP biological corpus without a discrete collapse event. τ = R/I increases continuously as metabolic and repair capacity (I) declines with age while cumulative transformation load (R) is maintained or grows. T_visible = lifespan. The paper establishes that LP's persistence condition operates as a universal structural constraint across biological scales and failure modes, and that the T_visible mechanism — the delay between structural overload onset and visible pathological manifestation — is empirically documented in the biological literature for all five cases.