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Numerical analysis guided the development of a new analytical solution linking the biological and calendar ages of neurons. The effects of A\u03b2 monomer and oligomer half-lives, key indicators of proteolytic efficiency, on biological age are examined. Both constant and age-dependent (exponentially increasing) half-life scenarios are considered. The findings indicate that increasing the half-life of A\u03b2 monomers and oligomers with age accelerates biological aging. Reducing A\u03b2 monomer production is shown to slow biological aging, with a linear relationship established between these two quantities. Additionally, biological age is found to depend linearly on the half-deposition time of A\u03b2 oligomers into senile plaques. The model demonstrates that biological age is irreversible, providing a theoretical explanation for why plaque-clearing therapies cannot reverse established cognitive impairment. The model also demonstrates that biological age is path dependent rather than state dependent.<\/jats:p>","DOI":"10.1093\/imammb\/dqag005","type":"journal-article","created":{"date-parts":[[2026,7,16]],"date-time":"2026-07-16T11:46:56Z","timestamp":1784202416000},"page":"153-176","source":"Crossref","is-referenced-by-count":2,"title":["Predicting biological age using an accumulated neurotoxicity biomarker for amyloid beta oligomers"],"prefix":"10.1093","volume":"43","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2692-6907","authenticated-orcid":false,"given":"Andrey V","family":"Kuznetsov","sequence":"first","affiliation":[{"name":"Department of Mechanical and Aerospace Engineering, North Carolina State University , 1840 Entrepreneur Dr., Raleigh, NC 27695-7910 ,","place":["USA"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2026,7,16]]},"reference":[{"key":"2026100805220096900_ref1","doi-asserted-by":"crossref","DOI":"10.1073\/pnas.2416433122","article-title":"Brain aging shows nonlinear transitions, suggesting a midlife \u201ccritical window\u201d for metabolic intervention","volume":"122","author":"Antal","year":"2025","journal-title":"Proc. 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