Connectivity Maintenance Cost: A Thermodynamic Threshold Model for the Failure Sequence of Sustained Biological Networks, with Application to Neurodegeneration

Version 3: adds Section 3 "Mathematical Formulation" and includes the complete mathematical development as Appendix A within the manuscript (closed-form decay dynamics, hub-first ordering under the measurable joint condition α·γ < 1, selective-failure prediction, hysteresis after edge loss). Strengthened literature grounding (Attwell & Laughlin 2001; Harris et al. 2012; Vaishnavi et al. 2010). Abstract, declarations and falsification conditions updated accordingly.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-25
DOI
https://doi.org/10.5281/zenodo.21545779
Primary Topic
Gene Regulatory Network Analysis
Type
preprint
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preprint

Connectivity Maintenance Cost: A Thermodynamic Threshold Model for the Failure Sequence of Sustained Biological Networks, with Application to Neurodegeneration

Sidário Rodrigues Malheiros-junior
Zenodo (CERN European Organization for Nuclear Research)
Gene Regulatory Network Analysis
preprint

Connectivity Maintenance Cost: A Thermodynamic Threshold Model for the Failure Sequence of Sustained Biological Networks, with Application to Neurodegeneration

Sidário Rodrigues Malheiros-junior
preprint en

Abstract

Version 3: adds Section 3 "Mathematical Formulation" and includes the complete mathematical development as Appendix A within the manuscript (closed-form decay dynamics, hub-first ordering under the measurable joint condition α·γ < 1, selective-failure prediction, hysteresis after edge loss). Strengthened literature grounding (Attwell & Laughlin 2001; Harris et al. 2012; Vaishnavi et al. 2010). Abstract, declarations and falsification conditions updated accordingly.

Zenodo (CERN European Organization for Nuclear Research)
Gene Regulatory Network Analysis
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Connectivity Maintenance Cost: A Thermodynamic Threshold Model for the Failure Sequence of Sustained Biological Networks, with Application to Neurodegeneration — Sidário Rodrigues Malheiros-junior · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS