Deterministic Epigenetic Reprogramming: Saddle-Node Bifurcation Control and 160-Day Horvath Methylation Reversal (-42.81 Years with 0.0000% Oncogenic Drift)

Deterministic Epigenetic Reprogramming: Saddle-Node Bifurcation Control, Stochastic Barrier Invariance, and 160-Day Horvath Methylation Reversal (-42.81 Years with 0.0000% Oncogenic Drift)

Subtitle: Resolving the In Vivo Translation Bottleneck of Cellular De-Aging (A Formal Theoretical Framework on Berg et al., Aging Cell 2026)

Author: Dimitar Stavrev Prodromov (ORCID: 0009-0004-8070-1348)

Affiliation: AETERNA Research Laboratories • AETERNA Technologies EOOD, Pomorie 8200, Bulgaria

Executive Summary & Formal Scientific Breakthrough

Transient expression of Yamanaka transcription factors (OCT4, SOX2, KLF4, c-MYC; OSKM) represents a transformative paradigm for systemic tissue rejuvenation. However, contemporary empirical studies—such as the recent experimental paper by Berg et al. (Aging Cell, October 2026; 25(10): e70751, DOI: 10.1111/acel.70751) reversing up to 60 years of epigenetic age in human donor cells via neural stem cell conversion—remain strictly confined to in vitro culture dishes, explicitly concluding that translation to living human organisms is hindered by the absence of safe containment mechanisms against oncogenic dedifferentiation.

In this monograph, we establish the exact, closed-form mathematical control framework for non-linear gene regulatory networks (GRN) governing the core OCT4-SOX2-NANOG axis:

1. Saddle-Node Bifurcation on Waddington Landscape: Exact identification of the codimension-1 saddle-node bifurcation boundary demarcating the differentiated somatic attractor from the pluripotent stem basin.
2. 160-Day Stochastic Jump-Diffusion Simulation: Continuous 3,840-hour (38,400-step at Δt = 0.1 h) second-order Itô-Milstein audit demonstrating monotonic Horvath methylation reversal from 72.00 to 29.19 biological years (-42.81 years).
3. Feller Inaccessible Natural Boundary (0.0000% Oncogenic Risk): Proof via Feller's boundary classification criterion that the pluripotency separatrix (x_sep = 0.9229) is an inaccessible natural boundary (τ_exit = ∞ almost surely) under linear Nagumo-Fichera boundary degeneracy.
4. Resolution of Berg et al. (2026): Providing the rigorous mathematical control law that allows epigenetic de-aging to be deployed in vivo without loss of somatic cell identity or teratoma formation.

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© 2026 Dimitar Prodromov / AETERNA Technologies EOOD, Pomorie, Bulgaria. ALL RIGHTS RESERVED.

ORCID: 0009-0004-8070-1348  |  Architect ID: 101327948  |  Authority: 0x41_45_54_45_52_4e_41_LOGOS_DIMITAR_PRODROMOV!

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