Final answer:
The 13-year-old boy's symptoms are consistent with Lesch-Nyhan syndrome, which is caused by a deficiency in the enzyme HGPRT.
Step-by-step explanation:
The correct diagnosis for the 13-year-old boy with choreoathetotic movements, hyperreflexia, acute agitation, self-scratching and mutilating behavior, and marked cognitive impairment is E. Lesch-Nyhan syndrome. Lesch-Nyhan syndrome is a rare genetic disorder caused by a deficiency in the enzyme hypoxanthine-guanine phosphoribosyltransferase (HGPRT). This deficiency leads to the buildup of uric acid, which can cause neurological and behavioral symptoms. The symptoms described, including choreoathetotic movements, hyperreflexia, acute agitation, self-scratching, mutilating behavior, and cognitive impairment, are indicative of Lesch-Nyhan syndrome.
Therefore, the correct answer is: E. Lesch-Nyhan syndrome Lesch-Nyhan syndrome is a rare X-linked recessive disorder caused by a deficiency of the enzyme hypoxanthine-guanine phosphoribosyltransferase (HGPRT). This deficiency leads to the accumulation of uric acid and neurological symptoms such as those described in the case.