Cellular energetic constraint as a unifying principle of aging: the ISHEA Δ±1 framework

🧬 ISHEA Δ±1 Coherence Framework — OSF Project Wiki

Overview

The ISHEA Δ±1 Coherence Framework proposes a unifying systems-level model of aging based on cellular energetic constraints. Rather than treating aging as a collection of independent processes, this framework integrates metabolic, redox, and informational dynamics into a single measurable construct: the Coherence Index (CI).

The CI is defined as:

CI = K / (R + T)

Where:

K = Energetic supply and coherence (Level I: redox regulation; Level II: ATP execution)

R = Repair, detoxification, and systemic demand

T = Entropic and environmental stressors

This formulation captures aging as a balance between energetic capacity and biological demand, rather than a unidirectional decline.

Conceptual Framework

Two-Level Bioenergetic Hierarchy

Level I (K1): Redox and informational coherence (NAD⁺, ROS signaling, metabolic regulation)

Level II (K2): Energetic execution capacity (ATP production and mitochondrial output)

The model predicts that:

Aging is redox-limited, not ATP-limited

This prediction is supported by global sensitivity analysis showing Level I dominance over Level II (~154×).

Phase Dynamics (Δ±1 Model)

Aging is represented as a phase transition across three regimes:

Regime CI State Interpretation

Δ+1 CI > 0 High coherence, adaptive capacity
Δ0 CI ≈ 0 Transition point, maximum plasticity
Δ−1 CI < 0 Systemic decline, high demand burden

The model predicts a critical transition around ~40 years, where system variability peaks and intervention potential is maximized.

Empirical Cross-Validation

The framework has been evaluated using published data from the UK Biobank (n≈250,000 participants).

Key Findings

26/26 biomarkers (100%) correctly classified by hazard ratio direction

Pro-aging biomarkers (HR>1) → mapped to R (demand)

Anti-aging biomarkers (HR<1) → mapped to K (coherence)

GlycA (HR=1.25), the strongest mortality predictor, maps to R (r≈−0.957 with CI)

CI extended vs. original: r≈0.99 convergence

These results support the structural validity of the framework.

Computational Validation

Sensitivity Analysis (Sobol)

Level I / Level II ratio ≈ 154×

Indicates dominance of redox coherence over ATP capacity

Monte Carlo Simulation

Maximum uncertainty observed at Δ0 (~age 40)

Consistent with phase transition theory

Intervention Insights (In Silico)

Simulation scenarios suggest:

NAD⁺ restoration (Level I) → strongest impact near Δ0

ATP enhancement alone (Level II) → limited effect

Chronic stress → accelerates transition to Δ−1

This supports a hierarchical intervention strategy, prioritizing coherence restoration over isolated energy boosting.

Scope and Limitations

The CI is currently a theoretical composite variable

No prospective cohort has yet measured CI directly

Validation is structural and predictive, not causal

Biomarker classification, while pre-defined, may require independent external validation

Future Work

Planned validation pathway includes:

1. Cross-sectional calibration of CI components in a single cohort

2. Longitudinal validation of CI vs. aging outcomes

3. Intervention trials targeting Level I vs. Level II mechanisms

4. External blinded classification of biomarkers

Reproducibility and Data

All computational analyses are available in this repository, including:

CI calculation scripts (Python)

Sobol sensitivity analysis

Monte Carlo simulations

UK Biobank cross-validation tables

Citation

Pérez Pulido, C.J. (2025).
ISHEA Δ±1 Coherence Framework: A Systems-Level Model of Cellular Energetic Constraint in Aging.
DOI: https://doi.org/10.17605/OSF.IO/RMAFU

Contact

Carlos J. Pérez Pulido
ISHEA Institute