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1. Enzymatic Catalysis

   Linked via "vibrational amplitude"

   While the rigid 'lock-and-key model' (proposed by Emil Fischer in 1894) provided an early framework, modern understanding heavily favors the 'induced fit model' (Daniel Koshland, 1958). Upon substrate binding, the enzyme undergoes a dynamic conformational change, molding its structure to optimize interactions with the substrate and achieve the lowest energy $\text{T}^\ddagger$.…