Bioenergetics · OSF-BIO-088
Two-level bioenergetic coherence model: NAD+, ROS and ATP in the ISHEA Δ±1 framework
By Carlos J. Pérez Pulido · ISHEA Institute ·
A theoretical model reading cellular metabolism as two layers: NAD+ redox balance and ROS signalling as regulation, ATP as execution, scored on a bounded coherence metric from −1 to +1
Preprint — Manuscript deposited on OSF. Not peer-reviewed.
Aquí tienes una descripción breve, estilo Wikipedia (neutral y enciclopédica):
The ISHEA Δ±1 Two-Level Bioenergetic Coherence Model is a theoretical mathematical framework that conceptualizes cellular metabolism as a two-layered system integrating redox regulation and energy execution. The model proposes that NAD⁺-dependent redox balance and regulated reactive oxygen species (ROS) signaling form an upstream informational-regulatory layer, while adenosine triphosphate (ATP) functions as a downstream energetic execution layer.
Within the ISHEA Δ±1 framework, systemic bioenergetic states are represented using a bounded nonlinear coherence metric ranging from −1 to +1. The model incorporates weighted contributions and interaction terms between normalized biological variables and uses computational sensitivity analyses to evaluate parameter influence.
It is presented as a systems biology approach to modeling bioenergetic organization and does not constitute a clinically validated diagnostic tool.
Supplementary Material: Energy and Proteic Periodic Tables
- Energy Periodic Table
Purpose:
Organizes and visualizes the energy components of biological and physical systems according to their coherence potential, functional role, and interactions with other elements.
Axes:
X-axis (Energy type):
Metabolic, electrical, mechanical, thermal, informational.
Y-axis (Coherence capacity):
Low → Medium → High. Represents the potential to generate organized information flow efficiently.
Cells:
Each cell represents an “energy element,” for example:
Element Energy Type Function Notes
ATP Metabolic Direct cellular energy High coherence potential; central to metabolism and signaling
FOXP Regulatory protein Neuro-energetic and genetic modulation Influences stress control and neural organization
Cortisol Hormonal Metabolism and stress regulation Excess levels reduce coherence
Δ±1 Index Informational / Physical Integrated planetary energy state measurement Correlates energy flows with dynamic systems
Glucose Metabolic Primary energy source Needs conversion for maximal coherence
Interpretation:
This table helps identify which energies are synergistic vs. which may induce dispersion or incoherence, from cellular to global scales.
- Proteic Periodic Table
Purpose:
Organizes amino acids and peptides according to bioenergetic coherence potential, molecular functionality, and self-organization capacity.
Axes:
X-axis (Amino acids / Peptides):
From simple monomers (glycine, alanine) to peptides formed under non-equilibrium conditions (dipeptides, tripeptides, etc.).
Y-axis (Functional role in biological coherence):
Structural → Signaling → Regulation → Self-organization.
Cells:
Each cell represents an amino acid or peptide with bioenergetic characteristics:
Element Type Function Notes
Gly Monomer Structural basis Facilitates peptide bonds; highly flexible
Ala Monomer Hydrophobic / structure Participates in protein folding
Gly-Gly Dipeptide Basic structure / energy Result from formation under simulated interplanetary conditions
Gly-Ala Dipeptide Signaling and structure Example of minimal self-organization
Mixed tripeptide Peptide Bioenergetic regulation Increases molecular coherence and integrated information capacity
Interpretation:
This table shows how molecular complexity increases from monomers to functional peptides, correlating structure, energy, and self-organization potential.
Usage Notes
-
Both tables are conceptual and modular, allowing new elements to be added as experiments or findings emerge.
-
They can be combined with coherence models (C = I/E) to map energetic efficiency and informational load at molecular or systemic scales.
-
Serve as visual and analytical tools, bridging biochemistry, bioenergetics, physics, and planetary science.
This folder contains all the code, parameter files, and documentation needed to reproduce the ISHEA Δ±1 simulation.
ISHEA Δ±1 Simulation Code Repository
README.md
ISHEA Δ±1 Bioenergetic Coherence Model
This repository contains the simulation code, parameter configuration files, and step-by-step replication instructions
for the study:
Pérez Pulido, C. (2026). "A Two-Level Bioenergetic Coherence Model Integrating NAD⁺, ROS, and ATP within the ISHEA Δ±1 Framework."
DOI Repository: https://doi.org/10.17605/OSF.IO/FYQGS
run_simulation.py
import yaml
import pandas as pd
import numpy as np
Load parameters from YAML file
with open('config/parameters.yaml', 'r') as f:
params = yaml.safe_load(f)
Example input data (initial ATP values)
input_data = pd.DataFrame({
'ATP_initial': np.linspace(1, 10, 10)
})
Simple simulation: apply ATP factor
results = input_data.copy()
results['ATP_sim'] = input_data['ATP_initial'] * params['ATP_factor']
Save results
results.to_csv('results/example_output.csv', index=False)
print("Simulation completed successfully.")
config/parameters.yaml
ATP_factor: 1.05
ROS_factor: 0.98
NAD_factor: 1.02
requirements.txt
numpy
pandas
pyyaml
scipy
matplotlib
docs/instructions.md
How to Run the Simulation
- Install Python 3.10+
- Install dependencies:
pip install -r requirements.txt - Run the simulation:
python run_simulation.py - The results will be saved in
results/example_output.csv
Folder Structure Suggestion
ISHEA_Model_OSF/
├── run_simulation.py
├── requirements.txt
├── config/parameters.yaml
├── results/ (empty folder to store outputs)
├── docs/instructions.md
└── README.md
💡 Tips for OSF Wiki:
-
Use Code blocks for .py and .yaml files so users can copy them cleanly.
-
Use plain text blocks for README.md and instructions.md.
-
Keep file names exactly as above.
-
The results/ folder can be empty; it’s just to indicate where output files will go.
Esta carpeta contiene todo el código, archivos de parámetros y documentación necesarios para replicar la simulación ISHEA Δ±1.
This folder contains all the code, parameter files, and documentation needed to reproduce the ISHEA Δ±1 simulation.
Script: create_osf_repository.py
import os
Nombre de la carpeta del proyecto
base_folder = "ISHEA_Model_OSF"
Estructura de carpetas
folders = [
base_folder,
f"{base_folder}/config",
f"{base_folder}/results",
f"{base_folder}/docs"
]
Crear carpetas
for folder in folders:
os.makedirs(folder, exist_ok=True)
Contenido de los archivos
files_content = {
f"{base_folder}/run_simulation.py": """import yaml
import pandas as pd
import numpy as np
Cargar parámetros desde archivo YAML
with open('config/parameters.yaml', 'r') as f:
params = yaml.safe_load(f)
Datos de entrada de ejemplo (simulación inicial de ATP)
input_data = pd.DataFrame({
'ATP_initial': np.linspace(1, 10, 10)
})
Simulación sencilla: aplicar factor de ATP
results = input_data.copy()
results['ATP_sim'] = input_data['ATP_initial'] * params['ATP_factor']
Guardar resultados
results.to_csv('results/example_output.csv', index=False)
print("Simulation completed successfully.")
""",
f"{base_folder}/config/parameters.yaml": """ATP_factor: 1.05
ROS_factor: 0.98
NAD_factor: 1.02
""",
f"{base_folder}/requirements.txt": """numpy
pandas
pyyaml
scipy
matplotlib
""",
f"{base_folder}/docs/instructions.md": """# Cómo ejecutar la simulación
- Instalar Python 3.10+
- Instalar dependencias:
pip install -r requirements.txt - Ejecutar la simulación:
python run_simulation.py - Los resultados se guardarán en results/example_output.csv
""",
f"{base_folder}/README.md": """# ISHEA Δ±1 Bioenergetic Coherence Model
Esta carpeta contiene el código de simulación, los archivos de parámetros y las instrucciones de replicación
para el estudio:
Pérez Pulido, C. (2026). A Two-Level Bioenergetic Coherence Model Integrating NAD⁺, ROS, and ATP within the ISHEA Δ±1 Framework.
DOI del repositorio: https://doi.org/10.17605/OSF.IO/FYQGS
"""
}
Crear archivos con su contenido
for filepath, content in files_content.items():
with open(filepath, "w", encoding="utf-8") as f:
f.write(content)
print(f"Repositorio listo en la carpeta '{base_folder}' con todos los archivos base.")
✅ Cómo usarlo
-
Guarda el script como create_osf_repository.py en tu PC.
-
Abre terminal o CMD en la carpeta donde guardaste el script.
-
Instala pyyaml si no lo tienes:
pip install pyyaml pandas numpy matplotlib scipy
- Ejecuta el script:
python create_osf_repository.py
- Se generará la carpeta ISHEA_Model_OSF con:
ISHEA_Model_OSF/
├── run_simulation.py
├── requirements.txt
├── config/parameters.yaml
├── results/ (vacía)
├── docs/instructions.md
└── README.md
ADDENDUM — LEGAL NOTICE & INTELLECTUAL PROPERTY DECLARATION
ISHEA Δ±1 Framework — Two-Level Bioenergetic Coherence Model
Carlos J. Pérez Pulido | ISHEA Institute | © 2026 All rights reserved
Effective Date: February 2026 | Document Version: 1.0
⚠️ PLEASE READ CAREFULLY BEFORE USING THIS WORK
By accessing, downloading, citing, or using any part of this repository, you agree to be bound by the terms of this Legal Notice.
- Copyright & Ownership
This work, including:
Theoretical framework
Mathematical formulations
Computational model
ISHEA Δ±1 coherence metric
Simulation data & figures
Supplementary materials & documentation
is exclusive intellectual property of:
Carlos J. Pérez Pulido — ISHEA Institute
© 2026 All rights reserved under national and international copyright law (Berne Convention).
Unauthorized use of the ISHEA name, framework, or nomenclature is prohibited.
- License Terms — CC BY-NC-ND 4.0
Condition Permitted (✓) / Prohibited (✗) Notes
Attribution (BY) ✓ Must cite author & DOI
NonCommercial (NC) ✗ No use in products/services/for-profit ventures without written authorization
NoDerivatives (ND) ✗ No remixing, transforming, or building upon this work without authorization
Share freely ✓ May share verbatim copies with attribution, non-commercially
Academic citation ✓ Scientific publications may cite with full attribution
Teach/lecture ✓ Educational non-commercial use allowed with attribution
Full license text: CC BY-NC-ND 4.0 legalcode
- Prohibited Uses ❌
Without prior written authorization:
Commercial use (products, software, services, consulting, proprietary research)
Creation of derivative works or translations/localizations
Claiming authorship or co-authorship of this framework
Reproducing >300 words without attribution
Using ISHEA name, brand, or framework in products/services/marketing
Automated bulk downloading, scraping, or redistribution
Training ML models on this work
- Requesting Authorization
To request authorization for uses not covered by CC BY-NC-ND 4.0:
-
Contact the author via OSF repository or Research Square preprint.
-
Include:
Intended use
Organization
Commercial/non-commercial nature
Scope and duration
-
Written authorization required; verbal agreements not binding
-
Commercial licensing fees may apply; academic collaborations reviewed case-by-case
Preprint Contact: https://doi.org/10.21203/rs.3.rs-8899090/v1
OSF Repository DOI: https://doi.org/10.17605/OSF.IO/FYQGS
- Mandatory Citation Requirements
Minimum required citation:
Format:
Pérez Pulido, C.J. (2026). A Two-Level Bioenergetic Coherence Model Integrating NAD⁺, ROS, and ATP within the ISHEA Δ±1 Framework. OSF Repository / Research Square Preprint.
OSF DOI: https://doi.org/10.17605/OSF.IO/FYQGS
Preprint DOI: https://doi.org/10.21203/rs.3.rs-8899090/v1
Update citation to the peer-reviewed version once published.
Failure to cite constitutes license violation and breach of academic integrity.
- Preprint & Peer Review Status
Currently under peer review at Scientific Reports (Nature Portfolio)
Preprint posted: February 2026
Content represents author's independent analysis
Timeline:
First submission: Feb 17, 2026
Submission checks: Feb 21, 2026
Editor assigned: Feb 21, 2026
Revision requested: Feb 23, 2026
- Data and Simulation Disclosure
All data in-silico computational simulations
No human or animal subjects, clinical trials, or proprietary third-party data
Simulation parameters calibrated within ISHEA Δ±1 framework
Methodology detailed in Supplementary Materials S2–S3
- Enforcement & Remedies
Violations may result in:
Complaint to institutional research integrity offices
Copyright infringement claims
Request for retraction of infringing publications
Civil claims for damages
Author reserves all rights to enforce IP protections.
- Governing Law
Interpreted under international copyright law (Berne, WIPO)
Applicable national IP laws
Disputes resolved in the author’s domicile jurisdiction unless agreed otherwise
© 2026 Carlos J. Pérez Pulido — ISHEA Institute. All rights reserved
Licensed CC BY-NC-ND 4.0 | Non-commercial | Attribution required | No derivatives
OSF DOI: https://doi.org/10.17605/OSF.IO/FYQGS
Preprint DOI: https://doi.org/10.21203/rs.3.rs-8899090/v1
Version 1.0 — February 2026
ISHEA Δ±1 Two-Level Bioenergetic Coherence Model
The ISHEA Δ±1 Two-Level Bioenergetic Coherence Model is a theoretical mathematical framework that describes cellular bioenergetics as a two-layered system integrating redox regulation and energy execution. The model is formulated within the ISHEA Δ±1 bounded coherence metric and represents systemic states within the interval [-1, +1].
Overview
The model proposes that cellular bioenergetic organization operates across two hierarchically coupled levels:
Level I – Redox-Informational Layer
Defined primarily by NAD⁺/NADH dynamics and regulated reactive oxygen species (ROS) signaling. This level is described as governing systemic redox balance and electron flow coordination.
Level II – Energetic Execution Layer
Defined by adenosine triphosphate (ATP) availability, which enables biochemical work and metabolic activity.
Within this structure, NAD⁺ and ROS are treated as regulatory variables influencing system coherence, while ATP is characterized as an execution variable dependent on upstream redox conditions.
Mathematical Structure
The model defines a coherence parameter (Δ) using a bounded nonlinear transformation (hyperbolic tangent) applied to weighted, normalized biological variables. The transformation constrains Δ to the range [-1, +1], where:
Positive values represent coherent systemic states
Values near zero represent transitional states
Negative values represent dysregulated states
The formulation includes first-order weighted contributions and interaction terms between variables. Sensitivity analyses and computational simulations are used to estimate parameter influence.
Conceptual Position
The model differs from traditional ATP-centered bioenergetic frameworks by emphasizing redox balance as a primary organizing axis. It frames reactive oxygen species not exclusively as damaging byproducts but as context-dependent regulatory signals within physiological ranges.
Scope
The ISHEA Δ±1 model is theoretical and computational. It does not constitute a clinical diagnostic tool or experimentally validated biomarker. It is intended as a systems-level modeling approach within bioenergetics and integrative systems biology.
Addendum — Derivative & Computational Extensions
See ADDENDUM_DERIVATIVE_SCOPE.md for clarification of intellectual scope and permitted derivative implementations.
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