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Although biological and clinical evidence link head trauma to tau pathology, the mechanistic pathway connecting mechanical impact to biochemical progression remains insufficiently defined. This research introduces a mathematical model designed to predict the spatiotemporal evolution of tau accumulation following TBI. The formulation is based on an Avrami-type nucleation\u2013growth framework, originally developed for phase transformations in materials, here adapted to represent the initiation and expansion of tau aggregates. Nucleation rate and growth velocity are treated as time-dependent parameters to capture realistic pathological dynamics. Temporal kinetics are calibrated using experimental data from mouse models of tauopathy, ensuring agreement with observed global progression. Spatial heterogeneity is incorporated through a mechanical field derived from finite element simulations, enabling regions exposed to higher post-impact strain to exhibit faster local transformation. This integrated biomechanical\u2013mathematical approach provides a quantitative link between injury-induced deformation and tau aggregation, offering a basis for identifying mechanically vulnerable regions that may be predisposed to CTE-related pathology.<\/jats:p>","DOI":"10.1007\/s10237-026-02092-4","type":"journal-article","created":{"date-parts":[[2026,6,5]],"date-time":"2026-06-05T14:24:28Z","timestamp":1780669468000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Spatiotemporal modeling of tau aggregation following traumatic brain injury: implications for chronic traumatic encephalopathy"],"prefix":"10.1007","volume":"25","author":[{"given":"Jos\u00e9","family":"Gonz\u00e1lez-Cabrero","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Carlos G. 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