Does the Due Process Clause apply to the Eighth Amendment protection against cruel and unusual punishment?

protection against cruel and unusual punishment. Gibson v. Cnty. of Washoe, Nev., 290 F.3d 1175, 1187 (9th Cir. 2002). Nonetheless, the Due Process Clause imposes, at a minimum, the same duty imposed by the Eighth Amendment: "persons in custody have the established right to not have officials remain deliberately indifferent to their serious medical needs." Id. at 1187 (citation, internal quotation marks, and brackets omitted). Accordingly, courts evaluating a pretrial detainee's medical care claim routinely rely on decisions applying Eighth Amendment standards for claims of inadequate medical care to convicted prisoners. See, e.g., id.