A family of covalent kinetic stabilizer compounds that selectively and covalently react with the prominent plasma protein transthyretin in preference to more than 4000 other human plasma proteins is disclosed. A contemplated compound corresponds in structure to Formula I, below, where the various substituents are defined within, and reacts chemoselectively with one or two of four Lys-15 ε-amino groups within the transthyretin tetramer. The crystal structure confirms the binding orientation of the compound substructure and the conjugating amide bond. A covalent transthyretin kinetic stabilizer exhibits superior amyloid inhibition potency, compared to a non-covalent counterpart, and inhibits cytotoxicity associated with amyloidogenesis.