Developing a nontoxic and biocompatible polymeric self-assembly by using RAFT methodology for biomedical application

•The PVP-b-PVK copolymer has been successfully polymerized by RAFT methdology using new synthesized BPDC as CTA.•It shows amphiphilic nature in aqueous media, having CMC value 0.014 - 0.052 mg/mL for Mw. 40000- 323000 g/mol.•The toxic test results showed no cytotoxicity at higher concentration of polymer, so it can be used for drug delivery purpose.•The primary results of cytotoxicity (6 h and 24 h) may support for the use in biomedical applications.•The hydrophilic drug levofloxacin could be encapsulated into the polymeric micelles via making beads of sodium alginate.•Control release of Levofloxacin from the beads in a period of 7 h up to 63.0 % at pH 7.4 & 37 °C.