“…Many experimental studies such as (Brown, 2000, Brown, 2001, Brown et al, 1994, Holscher et al, 1998, Jobling et al, 2001, Jobling et al, 1999, Kuwata et al, 2003, Norstrom et al, 2005, Wegner et al, 2002 have shown two points: (1) the hydrophobic region (113-120) AGAAAAGA of prion proteins is critical in the conversion from a soluble PrP C into an insoluble PrP Sc fibrillar form; and (2) normal AGAAAAGA is an inhibitor of prion diseases. Various computational approaches were used to address the problems related to "amyloid fibril" (Carter et al, 1998, Chou, 2004b, Chou, 2004c, Chou et al, 2002, Wang et al, 2008, Wei et al, 2005, Zhang, 2011, Zhang, 2009. By introducing novel mathematical canonical dual formulations and computational approaches, in this paper we may construct atomic-resolution molecular structures for prion (113-120) AGAAAAGA amyloid fibrils.…”