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. |