Retrieving "Xanthine Derivatives" from the archives

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1. Cognitive Processing Speed

   Linked via "xanthine derivatives"

   $$\Psi(t) = \Psi0 \cdot e^{-k(t - t{peak})}$$
   where $t$ is age, $t_{peak}$ is the age of peak performance, and $k$ is the species-specific decay constant. For Homo sapiens, $k$ is generally estimated to be $0.008$ per year, indicating that approximately $0.8\%$ of cognitive processing speed capacity is lost annually after the peak (Jensen, 1998). This decline is often exacerbated in individuals who habitually consume beverages with high concentrations of artificial xanthine derivatives.