Acrylamide derivatives of bile acids are chosen as a hydrophobic comonomer to copolymerize with acrylamide via reversible addition and fragmentation chain transfer (RAFT) polymerization to afford a series of copolymers of P(AAm-co-CAA). These copolymers exhibit a sharp and reversible insoluble soluble transition in water upon heating to a mixing temperature (T-mix) related to the upper critical solution temperature (UCST). Tmix of these copolymers can be conveniently tuned to a practical temperature range, around 37 degrees C for biomedical applications. T-mix rises with increasing molar fraction of the bile acid-based acrylamide and increasing concentration of the aqueous solution of the copolymers. The addition of a natural host molecule beta-cyclodextrin lowered the T-mix. The insoluble soluble transition of the copolymers was also evidenced by dynamic light scattering and transmission electron microscopy. The biocompatible nature of the bile acids and beta-cyclodextrins may make these copolymers potentially useful for biomedical applications.