Mortality model Aging

Model Name Formula (Simplified) Description
Integrated Damage Model (proposed) ba(t) = P(t) Ā· (1/Nr) Ā· ∫[fresp(u) / f(m,e)] du Refines Escala’s theory by integrating respiration cycles over time, adjusted for species-specific maintenance (f) and life-phase acceleration (P). Can explain aging inflections and outliers like bats. Mechanistic and time-continuous.
Escala’s Respiration-Cycle Law tlife ā‰ˆ Nr / fresp Proposes organisms undergo a nearly fixed number (~10⁸) of respiration cycles per lifetime. Supported across ~300 species from microbes to mammals. Unifies metabolism and lifespan.
Entropy Generation Model (Silva & Annamalai) ∫σ(t) dt ā‰ˆ constant Connects aging to total entropy generated over lifetime. Predicts human lifespan from heat dissipation per kg. Conceptually links thermodynamics and aging.
Reliability Theory of Aging Vitality(t) = V0 - kĀ·t + noise Models aging as loss of systemic redundancy. Predicts rising mortality even when components have fixed failure rates. Supports late-life mortality plateaus.
Kleiber’s Law B āˆ M3/4 Basal metabolic rate scales as body mass to the 3/4 power. Foundational to metabolic and lifespan scaling laws across all taxa.
Lifespan–Mass Allometry tlife āˆ M1/4 Empirical observation that lifespan increases with body mass. Follows from Kleiber’s law and constant energy-per-mass assumptions.
Rate-of-Living Hypothesis (Rubner) Elife/M ā‰ˆ constant Suggests that organisms expend the same amount of energy per gram over a lifetime. Holds across mammals but breaks down across classes (e.g. birds).
Gompertz–Makeham Law μ(t) = α·eβ·t + Ī» Classical model of mortality where death risk grows exponentially with age and includes a constant background risk. Very good empirical fit but not mechanistic.
Gompertz Law μ(t) = R0Ā·ebĀ·t Simpler form of Gompertz–Makeham. Predicts exponential rise in mortality with age. Used widely in demography and aging studies.
Weibull Mortality Law μ(t) = k·λ·tk-1 Predicts mortality using a power law. Used in reliability theory and some species. Less common for biological aging.
DNA Methylation Clock (Horvath) DNAmAge = β₀ + Ī£(βiĀ·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.

  

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