DQIS — Addendum I: Temporal Stratification of Tail Dependence Risk
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Zenodo
2026
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| author | DQIS Research Group |
| author_facet | DQIS Research Group |
| contents | <p>Supplementary analysis to the DQIS Consolidated Framework (Zenodo DOI: 10.5281/zenodo.19855263).</p> <p>This addendum addresses the tail dependence concern raised in Section 6.2 of the consolidated framework v15.0, demonstrating that it decomposes into two mechanistically distinct problems with different temporal signatures:</p> <p><strong>(1) Evolutionary Tail Dependence (ETD):</strong> requires sustained selective pressure over many cell generations. At the DQIS early interception window (10² cells, ~10 generations), ETD probability is ~0.03% — negligible for the operational claim. Formal boundary: ETD < 5% for all tumors with M < 10⁴ cells and G < 50 generations.</p> <p><strong>(2) Environmental Tail Dependence (EnTD):</strong> arises from shared microenvironmental stressors (hypoxia, acidosis) without mutation. Present from earliest tumor stages; spatially bounded; correctly modeled by Clayton copula. Empirical analysis on GSE72056 (1,257 malignant melanoma cells) confirms T-γ* + T-ε as the pair with lowest empirical lower tail dependence (LTD ≈ 0) even in real tumor microenvironments — the recommended flag-trigger pair for maximum EnTD resistance. T-δ shows moderate co-degradation with M-group channels (LTD = 2.5×) via mTOR-S6K1 epigenetic pathways.</p> <p><strong>Practical implication:</strong> DQIS efficiency claims in the 10²–10³ cell interception window are robust against the ETD objection. EnTD is manageable with anchor channels T-β and T-ε (most resistant to hypoxia-driven co-degradation) and the Double Memory Imprint architecture. In high-EnTD-risk microenvironments (hypoxic tumors, desmoplastic stroma), the recommended flag-trigger pair is T-β + T-δ within DQIS-3 — not Phase 0 PoC, which uses T-γ*+T-δ per the canonical v15.0 model.</p> <p><strong>Version 3.0 (April 2026) — Updates:</strong> aligned to consolidated framework v15.0; section references corrected (Section 5.6 → 6.2; Section 8.4 → 14.6); p_i values updated to empirical proxies (T-γ* = 0.020, T-δ = 0.040–0.050, T-β = 0.004 AND-gate per O1.3, T-ε = 0.05–0.10); Phase 0 PoC corrected to T-γ*+T-δ k=2 per §6.2d; O1.3 computational model for T-β referenced (p_i = 0.004 in AND-gate M/E context already below DQIS target); EnTD worst-case recalculated with empirical p_i values (~8× vs baseline, not ~60×); section numbering fixed (DMI → §6, Conclusions → §7); residual v8.0 references removed. Previous version: v2.0, April 2026, DOI 10.5281/zenodo.19887519.</p> <p>Not a peer-reviewed publication. Prior art deposit.</p> <p><br>Contact: dqis.research@proton.me<br><br>Related documents: <br>- DQIS Consolidated Framework (main document): https://zenodo.org/records/19877553 <br>- Register of Scientific Objections v4.0: https://zenodo.org/records/19880166 </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19927281 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | DQIS — Addendum I: Temporal Stratification of Tail Dependence Risk DQIS Research Group tail dependence Clayton copula Tumor Microenvironment Hypoxia evolutionary dynamics cancer immunosurveillance <p>Supplementary analysis to the DQIS Consolidated Framework (Zenodo DOI: 10.5281/zenodo.19855263).</p> <p>This addendum addresses the tail dependence concern raised in Section 6.2 of the consolidated framework v15.0, demonstrating that it decomposes into two mechanistically distinct problems with different temporal signatures:</p> <p><strong>(1) Evolutionary Tail Dependence (ETD):</strong> requires sustained selective pressure over many cell generations. At the DQIS early interception window (10² cells, ~10 generations), ETD probability is ~0.03% — negligible for the operational claim. Formal boundary: ETD < 5% for all tumors with M < 10⁴ cells and G < 50 generations.</p> <p><strong>(2) Environmental Tail Dependence (EnTD):</strong> arises from shared microenvironmental stressors (hypoxia, acidosis) without mutation. Present from earliest tumor stages; spatially bounded; correctly modeled by Clayton copula. Empirical analysis on GSE72056 (1,257 malignant melanoma cells) confirms T-γ* + T-ε as the pair with lowest empirical lower tail dependence (LTD ≈ 0) even in real tumor microenvironments — the recommended flag-trigger pair for maximum EnTD resistance. T-δ shows moderate co-degradation with M-group channels (LTD = 2.5×) via mTOR-S6K1 epigenetic pathways.</p> <p><strong>Practical implication:</strong> DQIS efficiency claims in the 10²–10³ cell interception window are robust against the ETD objection. EnTD is manageable with anchor channels T-β and T-ε (most resistant to hypoxia-driven co-degradation) and the Double Memory Imprint architecture. In high-EnTD-risk microenvironments (hypoxic tumors, desmoplastic stroma), the recommended flag-trigger pair is T-β + T-δ within DQIS-3 — not Phase 0 PoC, which uses T-γ*+T-δ per the canonical v15.0 model.</p> <p><strong>Version 3.0 (April 2026) — Updates:</strong> aligned to consolidated framework v15.0; section references corrected (Section 5.6 → 6.2; Section 8.4 → 14.6); p_i values updated to empirical proxies (T-γ* = 0.020, T-δ = 0.040–0.050, T-β = 0.004 AND-gate per O1.3, T-ε = 0.05–0.10); Phase 0 PoC corrected to T-γ*+T-δ k=2 per §6.2d; O1.3 computational model for T-β referenced (p_i = 0.004 in AND-gate M/E context already below DQIS target); EnTD worst-case recalculated with empirical p_i values (~8× vs baseline, not ~60×); section numbering fixed (DMI → §6, Conclusions → §7); residual v8.0 references removed. Previous version: v2.0, April 2026, DOI 10.5281/zenodo.19887519.</p> <p>Not a peer-reviewed publication. Prior art deposit.</p> <p><br>Contact: dqis.research@proton.me<br><br>Related documents: <br>- DQIS Consolidated Framework (main document): https://zenodo.org/records/19877553 <br>- Register of Scientific Objections v4.0: https://zenodo.org/records/19880166 </p> |
| title | DQIS — Addendum I: Temporal Stratification of Tail Dependence Risk |
| topic | tail dependence Clayton copula Tumor Microenvironment Hypoxia evolutionary dynamics cancer immunosurveillance |
| url | https://doi.org/10.5281/zenodo.19927281 |