Abstract
Polymeric micelles (PMs) self-assembled by amphiphilic block copolymers have been used as promising nanocarriers for tumor-targeted delivery due to their favorable properties, such as excellent biocompatibility, prolonged circulation time, favorable particle sizes (10–100 nm) to utilize enhanced permeability and retention effect and the possibility for functionalization. However, PMs can be easily destroyed due to dilution of body fluid and the absorption of proteins in system circulation, which may induce drug leakage from these micelles before reaching the target sites and compromise the therapeutic effect. This paper reviewed the factors that influence stability of micelles in terms of thermodynamics and kinetics consist of the critical micelle concentration of block copolymers, glass transition temperature of hydrophobic segments and polymer–polymer and polymer–cargo interaction. In addition, some effective strategies to improve the stability of micelles were also summarized.
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Aliabadi HM, Elhasi S, Mahmud A, Gulamhusein R, Mahdipoor P, Lavasanifar A (2007) Encapsulation of hydrophobic drugs in polymeric micelles through co-solvent evaporation: the effect of solvent composition on micellar properties and drug loading. Int J Pharm 329:158–165
Attia ABE, Ong ZY, Hedrick JL, Lee PP, Ee PLR, Hammond PT, Yang YY (2011) Mixed micelles self-assembled from block copolymers for drug delivery. Curr Opin Colloid Interface Sci 16:182–194
Bae Y, Kataoka K (2009) Intelligent polymeric micelles from functional poly(ethylene glycol)-poly(amino acid) block copolymers. Adv Drug Deliv Rev 61:768–784
Bae YH, Yin H (2008) Stability issues of polymeric micelles. J Control Release 131:2–4
Beck KR, Korsmeyer R, Kunz RJ (1984) An overview of the glass transition temperature of synthetic polymers. J Chem Educ 61:668–670
Blanco E, Bey EA, Dong Y, Weinberg BD, Sutton DM, Boothman DA, Gao J (2007) β-Lapachone-containing PEG–PLA polymer micelles as novel nanotherapeutics against NQO1-overexpressing tumor cells. J Control Release 122:365–374
Bontha S, Kabanov AV, Bronich TK (2006) Polymer micelles with cross-linked ionic cores for delivery of anticancer drugs. J Control Release 114:163–174
Breslin S, O’Driscoll L (2013) Three-dimensional cell culture: the missing link in drug discovery. Drug Discov Today 18:240–249
Cajot S, Lautram N, Passirani C, Jérôme C (2011) Design of reversibly core cross-linked micelles sensitive to reductive environment. J Control Release 152:30–36
Cammas S, Matsumoto T, Okano T, Sakurai Y, Kataoka K (1997) Design of functional polymeric micelles as site-specific drug vehicles based on poly (α-hydroxy ethylene oxide-co-β-benzyl l-aspartate) block copolymers. Mater Sci Eng C 4:241–247
Cammas-Marion S, Okano T, Kataoka K (1999) Functional and site-specific macromolecular micelles as high potential drug carriers. Colloids Surf B Biointerfaces 16:207–215
Chan Y, Wong T, Byrne F, Kavallaris M, Bulmus V (2008) Acid-labile core cross-linked micelles for pH-triggered release of antitumor drugs. Biomacromolecules 9:1826–1836
Chang C et al (2011) Thermo-responsive shell cross-linked PMMA-b-P (NIPAAm-co-NAS) micelles for drug delivery. Int J Pharm 420:333–340
Chang HP, Chen JY, Zhong PS, Chang YH, Liang M (2012) Synthesis and characterization of a new polymer-drug conjugate with pH-induced activity. Polymer 53:3498–3507
Chao D, Zhong Z, Jiang Y, Ru C, Meng F (2012) Biodegradable polymeric micelles for targeted and controlled anticancer drug delivery: promises, progress and prospects. Nano Today 7:467–480
D’Addio SM et al (2012) Effects of block copolymer properties on nanocarrier protection from in vivo clearance. J Control Release 162:208–217
Dawidczyk CM, Kim C, Park JH, Russell LM, Lee KH, Pomper MG, Searson PC (2014) State-of-the-art in design rules for drug delivery platforms: lessons learned from FDA-approved nanomedicines. J Control Release 187:133–144
Deng C, Jiang Y, Cheng R, Meng F, Zhong Z (2012) Biodegradable polymeric micelles for targeted and controlled anticancer drug delivery: promises, progress and prospects. Nano Today 7:467–480
Discher BM, Won YY, Ege DS, Lee JCM, Bates FS, Discher DE, Hammer DA (1999) Polymersomes: tough vesicles made from diblock copolymers. Science 284:1143–1146
Dong X, Mumper RJ (2010) Nanomedicinal strategies to treat multidrug-resistant tumors: current progress. Nanomedicine 5:597–615
Droste D, Dibenedetto A (1969) The glass transition temperature of filled polymers and its effect on their physical properties. J Appl Polym Sci 13:2149–2168
Fan H, Huang J, Li Y, Yu J, Chen J (2010) Fabrication of reduction-degradable micelle based on disulfide-linked graft copolymer-camptothecin conjugate for enhancing solubility and stability of camptothecin. Polymer 51:5107–5114
Garnier S, Laschewsky A (2006) Non-ionic amphiphilic block copolymers by RAFT-polymerization and their self-organization. Colloid Polym Sci 284:1243–1254
Gillies ER, Jonsson TB, Fréchet JMJ (2004) Stimuli-responsive supramolecular assemblies of linear-dendritic copolymers. J Am Chem Soc 126:11936–11943
Goto F, Ishihara K, Iwasaki Y, Katayama K, Enomoto R, S-i Yusa (2011) Thermo-responsive behavior of hybrid core cross-linked polymer micelles with biocompatible shells. Polymer 52:2810–2818
Gunawan C, Breuer M, Hauer B, Rogers PL, Rosche B (2008) Improved (R)-phenylacetylcarbinol production with Candida utilis pyruvate decarboxylase at decreased organic to aqueous phase volume ratios. Biotechnol Lett 30:281–286
Haliloglu T, Bahar I, Erman B, Mattice WL (1996) Mechanisms of the exchange of diblock copolymers between micelles at dynamic equilibrium. Macromolecules 29:4764–4771
Hayami Y, Ichikawa H, Someya A, Aratono M, Motomura K (1998) Thermodynamic study on the adsorption and micelle formation of long chain alkyltrimethylammonium chlorides. Colloid Polym Sci 276:595–600
Honda S, Yamamoto T, Tezuka Y (2013) Tuneable enhancement of the salt and thermal stability of polymeric micelles by cyclized amphiphiles. Nat Commun 4:143–148
Hu X, Li H, Luo S, Liu T, Jiang Y, Liu S (2013) Thiol and pH dual-responsive dynamic covalent shell cross-linked micelles for triggered release of chemotherapeutic drugs. Polym Chem 4:695–706
Huang CF, Chang FC (2003) Comparison of hydrogen bonding interaction between PMMA/PMAA blends and PMMA-co-PMAA copolymers. Polymer 44:2965–2974
Iwamoto T (2013) Clinical application of drug delivery systems in cancer chemotherapy: review of the efficacy and side effects of approved drugs. Biol Pharm Bull 36:715–718
Iyama K, Nose T (1998) Kinetics of micelle formation with change of micelle shape in a dilute solution of diblock copolymers. Macromolecules 31:7356–7364
Jeong YI et al (2006) Polyion complex micelles composed of all-trans retinoic acid and poly (ethylene glycol)-grafted-chitosan. J Pharm Sci 95:2348–2360
Jette KK, Law D, Schmitt EA, Kwon GS (2004) Preparation and drug loading of poly (ethylene glycol)-block-poly (ε-caprolactone) micelles through the evaporation of a cosolvent azeotrope. Pharm Res 21:1184–1191
Jin SK, Ji HY (2009) Preparation of core cross-linked micelles using a photo-cross-linking agent. Polymer 50:2204–2208
Junquera E, Tardajos G, Aicart E (1993) Effect of the presence of beta.-cyclodextrin on the micellization process of sodium dodecyl sulfate or sodium perfluorooctanoate in water. Langmuir 9:1213–1219
Kabanov AV, Batrakova EV, Alakhov VY (2002) Pluronic® block copolymers as novel polymer therapeutics for drug and gene delivery. J Control Release 82:189–212
Kaewsaiha P, Matsumoto K, Matsuoka H (2005) Non-surface activity and micellization of ionic amphiphilic diblock copolymers in water. Hydrophobic chain length dependence and salt effect on surface activity and the critical micelle concentration. Langmuir 21:9938–9945
Kakizawa Y, Harada A, Kataoka K (1999) Environment-sensitive stabilization of core–shell structured polyion complex micelle by reversible cross-linking of the core through disulfide bond. J Am Chem Soc 121:11247–11248
Kalyanasundaram K, Thomas JK (1977) Environmental effects on vibronic band intensities in pyrene monomer fluorescence and their application in studies of micellar systems. J Am Chem Soc 99:2039–2044
Kannan RM, Nance E, Kannan S et al (2014) Emerging concepts in dendrimer-based nanomedicine: from design principles to clinical applications. J Intern Med 276:579–617
Kataoka K, Harada A, Nagasaki Y (2001) Block copolymer micelles for drug delivery: design, characterization and biological significance. Adv Drug Deliv Rev 47:113–131
Kim HU, Lim KH (2003) Description of temperature dependence of critical micelle concentration. Bull Korean Chem Soc 24:1449–1454
Kim S, Kim JY, Huh KM, Acharya G, Park K (2008) Hydrotropic polymer micelles containing acrylic acid moieties for oral delivery of paclitaxel. J Control Release 132:222–229
Kim JO, Kabanov AV, Bronich TK (2009) Polymer micelles with cross-linked polyanion core for delivery of a cationic drug doxorubicin. J Control Release 138:197–204
Kim S, Shi Y, Ji YK, Park K, Cheng JX (2010a) Overcoming the barriers in micellar drug delivery: loading efficiency, in vivo stability, and micelle-cell interaction. Expert Opin Drug Deliv 7:49–62
Kim SH et al (2010b) Hydrogen bonding-enhanced micelle assemblies for drug delivery. Biomaterials 31:8063–8071
Kim JO, Ramasamy T, Yong CS, Nukolov NV, Bronich TK, Kabanov AV (2013) Cross-linked polymeric micelles based on block ionomer complexes. Mendeleev Commun 23:179–186
Koo AN et al (2008) Disulfide-cross-linked PEG-poly (amino acid)s copolymer micelles for glutathione-mediated intracellular drug delivery. Chem Commun 48:6570–6572
Kore G, Kolate A, Nej A, Misra A (2014) Polymeric micelle as multifunctional pharmaceutical carriers. J Nanosci Nanotechnol 14:288–307
Lai PL, Hsu CC, Liu TH, Hong DW, Chen LH, Chen WJ, Chu IM (2012) Mixed micelles from methoxy poly (ethylene glycol)-polylactide and methoxy poly (ethylene glycol)-poly (sebacic anhydride) copolymers as drug carriers. React Funct Polym 72:846–855
Lavasanifar A, Samuel J, Kwon GS (2002) The effect of fatty acid substitution on the in vitro release of amphotericin B from micelles composed of poly (ethylene oxide)-block-poly (N-hexyl stearate-l-aspartamide). J Control Release 79:165–172
Lee JS, Feijen J (2012) Polymersomes for drug delivery: design, formation and characterization. J Control Release 161:473–483
Lee YS, Woo KW (1995) Micellization of Aqueous Cationic Surfactant Solutions at the Micellar Structure Transition Concentration-Based upon the Concept of the Pseudophase Separation. J Colloid Interface Sci 169:34–38
Lee HJ, Ponta A, Bae Y (2010) Polymer nanoassemblies for cancer treatment and imaging. Ther Deliv 1:803–817
Letchford K, Burt H (2007) A review of the formation and classification of amphiphilic block copolymer nanoparticulate structures: micelles, nanospheres, nanocapsules and polymersomes. Eur J Pharm Biopharm 65:259–269
Li G, Guo L, Meng Y, Zhang T (2011) Self-assembled nanoparticles from thermo-sensitive polyion complex micelles for controlled drug release. Chem Eng J 174:199–205
Li M, Liu Y, Feng L, Liu F, Zhang L, Zhang N (2015) Polymeric complex micelles with double drug-loading strategies for folate-mediated paclitaxel delivery. Colloids Surf B Biointerfaces 131:191–201
Liang J, Wu WL, Xu XD, Zhuo RX, Zhang XZ (2014) pH Responsive micelle self-assembled from a new amphiphilic peptide as anti-tumor drug carrier. Colloids Surf B Biointerfaces 114:398–403
Liu J, Xiao Y, Allen C (2004) Polymer-drug compatibility: a guide to the development of delivery systems for the anticancer agent, ellipticine. J Pharm Sci 93:132–143
Liu J, Zeng F, Allen C (2005) Influence of serum protein on polycarbonate-based copolymer micelles as a delivery system for a hydrophobic anti-cancer agent. J Control Release 103:481–497
Liu J, Zeng F, Allen C (2007) In vivo fate of unimers and micelles of a poly (ethylene glycol)-block-poly (caprolactone) copolymer in mice following intravenous administration. Eur J Pharm Biopharm 65:309–319
Logie J, Owen SC, McLaughlin CK, Shoichet MS (2014) PEG-graft density controls polymeric nanoparticle micelle stability. Chem Mater 26:2847–2855
Maeda H (2001) The enhanced permeability and retention (EPR) effect in tumor vasculature: the key role of tumor-selective macromolecular drug targeting. Adv Enzyme Regul 41:189–207
Mata JP, Majhi PR, Guo C, Liu HZ, Bahadur P (2005) Concentration, temperature, and salt-induced micellization of a triblock copolymer Pluronic L64 in aqueous media. J Colloid Interface Sci 292:548–556
Menjoge AR, Kannan RM, Tomalia DA (2010) Dendrimer-based drug and imaging conjugates: design considerations for nanomedical applications. Drug Discov Today 15:171–185
Mero A, Clementi C, Veronese FM, Pasut G (2011) Covalent conjugation of poly (ethylene glycol) to proteins and peptides: strategies and methods. Methods Mol Biol 751:95–129
Miller T et al (2013) Premature drug release of polymeric micelles and its effects on tumor targeting. Int J Pharm 445:117–124
Mukerjee P, Mysels KJ (1971) Critical micelle concentrations of aqueous surfactant systems. DTIC Document No. NSRDS NBS 36:503–507
Narang AS, Delmarre D, Gao D (2007) Stable drug encapsulation in micelles and microemulsions. Int J Pharm 345:9–25
Ni C, Zhu G, Zhu C, Yao B, Kumar DNT (2010) Studies on core-shell structural nano-micelles based on star block copolymer of poly (lactide) and poly (2-(dimethylamino) ethyl methacrylate). Colloid Polym Sci 288:1193–1200
Nolan SL, Phillips RJ, Cotts PM, Dungan SR (1997) Light scattering study on the effect of polymer composition on the structural properties of PEO–PPO–PEO micelles. J Colloid Interface Sci 191:291–302
Owen SC, Chan DPY, Shoichet MS (2012) Polymeric micelle stability. Nano Today 7:53–65
Patel SK, Lavasanifar A, Choi P (2009) Roles of nonpolar and polar intermolecular interactions in the improvement of the drug loading capacity of PEO-b-PCL with increasing PCL content for two hydrophobic cucurbitacin drugs. Biomacromolecules 10:2584–2591
Pati D, Kalva N, Das S, Kumaraswamy G, Sen Gupta S, Ambade AV (2012) Multiple topologies from glycopolypeptide-dendron conjugate self-assembly: nanorods, micelles, and organogels. J Am Chem Soc 134:7796–7802
Pimm M, Perkins A, Duncan R, Ulbrich K (1993) Targeting of N-(2-hydroxypropyl) methacrylamide copolymer-doxorubicin conjugate to the hepatocyte galactose-receptor in mice: visualisation and quantification by gamma scintigraphy as a basis for clinical targeting studies. J Drug Target 1:125–131
Poon Z, Lee JA, Huang S, Prevost RJ, Hammond PT (2011) Highly stable, ligand-clustered “patchy” micelle nanocarriers for systemic tumor targeting. Nanomedicine 7:201–209
Portinha D, Bouteiller L, Pensec S, Richez A, Chassenieux C (2004) Influence of preparation conditions on the self-assembly by stereocomplexation of polylactide containing diblock copolymers. Macromolecules 37:3401–3406
Price C, Booth C, Canham PA, Naylor TdV, Stubbersfield RB (1984) The thermodynamics of micelle formation by a polystyrene-b-polyisoprene block copolymer in N, N′-dimethylacetamide. Br polymer J 16:311–313
Quan CY, Wei H, Shi Y, Li ZY, Cheng SX, Zhang XZ, Zhuo RX (2011) Fabrication of multifunctional shell cross-linked micelles for targeting drug release. Colloid Polym Sci 289:667–675
Raffa P, Stuart MC, Broekhuis AA, Picchioni F (2014) The effect of hydrophilic and hydrophobic block length on the rheology of amphiphilic diblock Polystyrene-b-Poly(sodium methacrylate) copolymers prepared by ATRP. J Colloid Interface Sci 428:152–161
Rapoport N (2007) Physical stimuli-responsive polymeric micelles for anti-cancer drug delivery. Prog Polym Sci 32:962–990
Read ES, Armes SP (2007) Recent advances in shell cross-linked micelles. Chem Commun 29:3021–3035
Ren J et al (2013) pH/sugar dual responsive core-cross-linked PIC micelles for enhanced intracellular protein delivery. Biomacromolecules 14:3434–3443
Riley T, Govender T, Stolnik S, Xiong CD, Garnett MC, Illum L, Davis SS (1999) Colloidal stability and drug incorporation aspects of micellar-like PLA–PEG nanoparticles. Colloids Surf B Biointerfaces 16:147–159
Sagnella SM, McCarroll JA, Kavallaris M (2014) Drug delivery: beyond active tumour targeting. Nanomedicine 10:1131–1137
Santos AP, Panagiotopoulos AZ (2016) Determination of the critical micelle concentration in simulations of surfactant systems. J Chem Phys 144(044709):1–9
Shao Y, Huang W, Shi C, Atkinson ST, Luo J (2012) Reversibly crosslinked nanocarriers for on-demand drug delivery in cancer treatment. Ther Deliv 3:1409–1427
Suchao-in N, Chirachanchai S, Perrier S (2009) pH-and thermo-multi-responsive fluorescent micelles from block copolymers via reversible addition fragmentation chain transfer (RAFT) polymerization. Polymer 50:4151–4158
Sun H, Guo B, Cheng R, Meng F, Liu H, Zhong Z (2009) Biodegradable micelles with sheddable poly(ethylene glycol) shells for triggered intracellular release of doxorubicin. Biomaterials 30:6358–6366
Svenson S, Tomalia DA (2005) Dendrimers in biomedical applications-reflections on the field. Adv Drug Deliv Rev 57:2106–2129
Talelli M, Rijcken C, Van Nostrum C, Storm G, Hennink W (2010) Micelles based on HPMA copolymers. Adv Drug Deliv Rev 62:231–239
Tan SW, Wang HJ, Tu KH, Jiang HL, Wang LQ (2011) Ibuprofen induced drug loaded polymeric micelles. Chin Chem Lett 22:1123–1126
Thambi T, Deepagan V, Ko H, Lee DS, Park JH (2012) Bioreducible polymersomes for intracellular dual-drug delivery. J Mater Chem 22:22028–22036
Tian Y, Mao S (2012) Amphiphilic polymeric micelles as the nanocarrier for peroral delivery of poorly soluble anticancer drugs. Expert Opin Drug Deliv 9:687–700
Tomalia DA, Christensen JB, Boas U (2012) Dendrimers, dendrons, and dendritic polymers: discovery, applications, and the future. Cambridge University Press, Cambridge
Toomey R, Mays J, Tirrell M (2006) The role of salt in governing the adsorption mechanisms of micelle-forming polyelectrolyte/neutral diblock copolymers. Macromolecules 39:697–702
Torchilin VP (2002) PEG-based micelles as carriers of contrast agents for different imaging modalities. Adv Drug Deliv Rev 54:235–252
Tsuji H (2005) Poly(lactide) stereocomplexes: formation, structure, properties, degradation, and applications. Macromol Biosci 5:569–597
Ukawala M et al (2012) Investigation on design of stable etoposide-loaded PEG–PCL micelles: effect of molecular weight of PEG–PCL diblock copolymer on the in vitro and in vivo performance of micelles. Drug Deliv 19:155–167
Veronese FM et al (2005) PEG-doxorubicin conjugates: influence of polymer structure on drug release, in vitro cytotoxicity, biodistribution, and antitumor activity. Bioconjug Chem 16:775–784
Wang Y, Li Y, Wang Q, Wu J, Fang X (2008) Pharmacokinetics and biodistribution of paclitaxel-loaded pluronic P105/L101 mixed polymeric micelles. Yakugaku Zasshi 128:941–950
Wang S, Yuan F, Jiang H, Wang L (2014a) Construction of chitosan micelles by chemical modification method and their photo-responsive characteristics. J Funct Polym 1:17–22
Wang X, Li L, Ye X, Wu C (2014b) Comparative study of solution properties of amphiphilic 8-shaped cyclic-(polystyrene-b-poly(acrylic acid))2 and its linear precursor. Macromolecules 47:2487–2495
Wang J, Xu W, Guo H, Ding J, Chen J, Guan J, Wang C (2015) Selective intracellular drug delivery from pH-responsive polyion complex micelle for enhanced malignancy suppression in vivo. Colloids Surf B Biointerfaces 135:283–290
Watanabe M, Kawano K, Yokoyama M, Opanasopit P, Okano T, Maitani Y (2006) Preparation of camptothecin-loaded polymeric micelles and evaluation of their incorporation and circulation stability. Int J Pharmaceut 308:183–189
Yang L, Alexandridis P (2000) Physicochemical aspects of drug delivery and release from polymer-based colloids. Curr Opin Colloid in 5:132–143
Yang C, Attia ABE, Tan JP, Ke X, Gao S, Hedrick JL, Yang YY (2012) The role of non-covalent interactions in anticancer drug loading and kinetic stability of polymeric micelles. Biomaterials 33:2971–2979
Yokoyama M, Okano T, Sakurai Y, Kataoka K (1994) Improved synthesis of adriamycin-conjugated poly(ethylene oxide)-poly(aspartic acid) block copolymer and formation of unimodal micellar structure with controlled amount of physically entrapped adriamycin. J Control Release 32:269–277
Yu C et al (2013) The effect of hydrophilic and hydrophobic structure of amphiphilic polymeric micelles on their transport in epithelial MDCK cells. Biomaterials 34:6284–6298
Zhang H, Sun X, Wang X, Zhou QF (2005) Synthesis of a novel ABC triblock copolymer with a rigid-rod block via atom transfer radical polymerization. Macromol Rapid Commun 26:407–411
Zhang L, Liu W, Lin L, Chen D, Stenzel MH (2008) Degradable disulfide core-cross-linked micelles as a drug delivery system prepared from vinyl functionalized nucleosides via the RAFT process. Biomacromolecules 9:3321–3331
Zhang X, Ai C, Ma J, Xu J, Yang S (2011) Synthesis of zwitterionic shell cross-linked micelles with pH-dependent hydrophilicity. J Colloid Interface Sci 356:24–30
Zhang S et al (2014) Self-assembly of amphiphilic Janus dendrimers into uniform onion-like dendrimersomes with predictable size and number of bilayers. Proc Natl Acad Sci 111:9058–9063
Zhao X, Poon Z, Engler AC, Bonner DK, Hammond PT (2012) Enhanced stability of polymeric micelles based on postfunctionalized poly(ethylene glycol)-b-poly(γ-propargyl l-glutamate): the substituent effect. Biomacromolecules 13:1315–1322
Zhong WY, Ling FX, Ya juan Li, Wen ZZ, Mei HL, Yi SX (2008) Preparation, characterization of paclitaxel-loaded Pluronic P105 polymeric micelles and in vitro reversal of multidrug resistant tumor. Acta Pharm Sin 43:640–646
Zhu Z, Xu J, Zhou Y, Jiang X, Armes SP, Liu S (2007) Effect of salt on the micellization kinetics of pH-responsive ABC triblock copolymers. Macromolecules 40:6393–6400
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This study is financially supported by the National Science Foundation Grant of China (No. 81503005), the Natural Science Fundation of Jiangsu Province (No. BK20140669), and the Priority Academic Program Development of Jiangsu Higher Education Institutions.
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Zhou, W., Li, C., Wang, Z. et al. Factors affecting the stability of drug-loaded polymeric micelles and strategies for improvement. J Nanopart Res 18, 275 (2016). https://doi.org/10.1007/s11051-016-3583-y
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DOI: https://doi.org/10.1007/s11051-016-3583-y