Mortality model Aging

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Model Name Formula (Simplified) Description
Gompertz–Makeham Law μ(x) = A + B·eG·x Mortality rate increases exponentially with age. A foundational model for aging in demography.
Reliability Theory of Aging (Vitality) dV/dt = -k·V + σ·W(t) Models organismal “vitality” degrading over time with both deterministic decay and random shocks.
DNA Methylation Clock (Horvath) DNAmAge = β₀ + Σ(βi·CpGi) Uses weighted DNA methylation levels at CpG sites to predict biological age. Highly accurate.
Phenotypic Age (Levine) PhenoAge = f(albumin, WBC, etc.) Combines standard blood biomarkers to predict mortality risk and biological age.
Entropy Production Model dS/dt = Q̇ / T Links aging to thermodynamic entropy produced via metabolic heat and inefficiency.
Escala’s Respiration-Cycle Law tlife ≈ Nr / fresp Lifespan determined by a nearly fixed number (~10⁸) of respiration cycles across species.
Integrated Damage Model (proposed) ba(t) = P(t) · (1/Nr) · ∫[fresp(u) / f(m,e)] du Biological age accumulates with respiration rate, modulated by species-specific resilience and phase-specific aging acceleration.

  

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