Complexation of Vinpocetine with Cyclodextrins in the Presence or Absence of Polymers. Binary and Ternary Complexes Preparation and Characterization

Inclusion complexation between -cyclodextrin (-CD),hydroxypropyl--cyclodextrin (HP--CD), water-solublepolymers (PVP and HPMC) and vinpocetine was studied in aqueous solution and in the solid state.Phase solubility studies were used to evaluate the complexation in aqueous solution at roomtemperature. Stability constants (K_c) of binary and ternary complexes were determined spectrophotometrically. Differential scanning calorimetry (DSC)was used to characterize kneaded, co-evaporated and lyophilised binary and ternary systems.The K_c values obtained were 70.14 M^-1 and 35.01 M^-1 for vinpocetine--CD and vinpocetine-HP--CD and increased in a range of 17% to 94%by addition of water-soluble polymers. Some preliminary evidences ofinclusion complexation were obtained from DSC suggesting that co-evaporated and lyophilised binary andternary systems were truly inclusion complexes.     

Cyclodextrin solubilization of celecoxib: solid and solution state characterization

The low aqueous solubility of celecoxib (CCB) hampers its oral bioavailability and permeation from aqueous environment through biological membranes. The aim of this study was to enhance the aqueous solubility of CCB by complexation with cyclodextrin (CD) in the presence of water-soluble polymer. The effects of different CDs (αCD, βCD, γCD, 2-hydroxypropyl-β-cyclodextrin and randomly methylated β-cyclodextrin (RMβCD)) and mucoadhesive, water-soluble polymers (hydroxypropyl methylcellulose (HPMC), chitosan and hyaluronic acid) were investigated. The phase solubility profiles and CCB/CD complex characteristics were determined. RMβCD exhibited the greatest solubilizing effect of the two CDs tested. However, γCD was also selected for further investigations due to its safety profile. Addition of polymer to the aqueous CD solutions enhanced the CD solubilization. Formation of CCB/RMβCD/HPMC and CCB/γCD/HPMC ternary complexes resulted in 11 and 19-fold enhancement in the apparent complexation efficiency in comparison to their CCB/CD binary complex, respectively. The size of ternary complex aggregates in solution were determined to be from about 250 to about 350 nm. The data obtained from Fourier transform infra-red, differential scanning calorimetry and powder X-ray diffraction indicated presence of CCB/CD inclusion complexes in the solid state. Proton nuclear magnetic resonance data demonstrated that CCB was partially and totally inserted into the hydrophobic central cavities of RMβCD and γCD.     

Binary and ternary inclusion complexes of dapsone in cyclodextrins and polymers: preparation, characterization and evaluation

Dapsone (DAP) is a synthetic sulfone drug with bacteriostatic activity, mainly against Mycobacterium leprae. In this study we have investigated the interactions of DAP with cyclodextrins, 2-hydroxypropyl-β-cyclodextrin (HPβCD) and β-cyclodextrin (βCD), in the presence and absence of water-soluble polymers, in order to improve its solubility and bioavailability. Solid systems DAP/HPβCD and DAP/βCD, in the presence or absence of polyvinylpyrrolidone (PVP K30) or hydroxypropyl methylcellulose (HPMC), were prepared. The binary and ternary systems were evaluated and characterized by SEM, DSC, XRD and NMR analysis as well as phase solubility assays, in order to investigate the interactions between DAP and the excipients in aqueous solution. This study revealed that inclusion complexes of DAP and cyclodextrins (HPβCD and βCD) can be produced in order to improve DAP solubility and bioavailability in the presence or absence of polymers (PVP K30 and HPMC). The more stable inclusion complex was obtained with HPβCD, and consequently HPβCD was more efficient in improving DAP solubility than βCD, and the addition of polymers had no influence on DAP solubility or on the stability of the DAP/CDs complexes.     

Effect of Hydrophilic Polymer on Solubilization of Fenofibrate by Cyclodextrin Complexation

The present work investigates the possibility of improvement of the complexation efficiency of cyclodextrin towards a drug by adding a third auxiliary component (hydrophilic polymer). Phase solubility Analysis at 25 °C was used to investigate the interaction of the drug in both the binary systems (viz. Drug-Cyclodextrin and Drug-Polymer) and the ternary system (Drug-Cyclodextrin-Polymer). The combined use of polymer and cyclodextrin was clearly more effective in enhancing the aqueous solubility of the fenofibrate in comparison with the corresponding drug-cyclodextrin or drug-polymer binary systems. Hydrophilic polymers increased the complexation efficacy of cyclodextrin towards fenofibrate (as shown by the increased stability constants of the complexes). Polyvinyl Pyrollidone (PVP) was found to be most effective in enhancing the solubilization of fenofibrate by β-Cyclodextrin, the best results were obtained in ternary system with β-Cyclodextrin in presence of 1%w/v (PVP). Formulated ternary system with optimized drug:cyclodextrin:polymer ratio of 1:3.5:1 w/w resulted in a significant improvement in the dissolution rate of fenofibrate and showed 90% dissolution efficiency (D.E) as compared to around 15% and 83% of the plain drug and binary system respectively. DSC studies was carried out to characterize the ternary complex.     

Physicochemical characterization of spray dried ternary micro-complexes of cefuroxime axetil with hydroxypropyl-β-cyclodextrin

The physicochemical properties of spray dried micro-complexes of cefuroxime axetil (CFA) with hydroxypropyl-β-cyclodextrin (HPβCD) in presence and/or absence of ternary components polyvinylpyrrolidone K30 (PVP K30), hydroxypropylmethylcellulose (HPMC), poloxamer 188 and/or polyethylene glycol 4000 (PEG 4000) along with Aerosil^®200 as an adsorbent were investigated. The phase solubility studies revealed A_L type of solubility curve in binary as well as ternary systems. The stability constant 382.70 ± 2.4 M^?1 of binary system i.e. CFA with HPβCD was significantly improved to 427.84 ± 3.8, 447.09 ± 4.3, 488.28 ± 4.6 and 502.21 ± 5.1 M^?1 in presence of PVP K30, HPMC, poloxamer 188 and PEG 4000 respectively indicating positive effect of their addition. The micro-complexes of CFA were characterized by Fourier transformation infrared spectroscopy, X-ray powder diffractometry, differential scanning calorimetry, scanning electron microscopy, particle size analysis, and dissolution. In all characterization studies, ternary systems performed better in comparison to binary systems as a result of synergistic effect of ternary complexation as well as particle size reduction achieved by a spray drying technology.     

Combined effect of hydroxypropyl methylcellulose and hydroxypropyl-β-cyclodextrin on physicochemical and dissolution properties of celecoxib

Investigation on the influence of hydroxypropyl methylcellulose (HPMC) on solubility and dissolution properties of celecoxib/hydroxypropyl-β-cyclodextrin system was carried out, with the ultimate goal of enhancing the drug bioavailability. ¹H-NMR and ¹³C-NMR spectroscopy were first performed to elucidate the type of interactions between celecoxib (CEL) and hydroxypropyl-β-cyclodextrin (HP-β-CD). Then, solubility studies in the absence and in the presence of HPMC were carried out in aqueous solution. After heating in autoclave of CEL/HP-β-CD/HPMC suspensions a synergistic increasing effect on the aqueous solubility of CEL was observed. In fact, the presence of both HP-β-CD (0.05 M) and HPMC (0.25% w/v) gave rise to a 330-fold CEL solubility increase, whereas the cyclodextrin alone provided a 34-fold increase. Gibbs free energy values calculated from phase solubility data were all negative, indicating the spontaneous nature of CEL solubilization, and they decreased in the presence of HPMC, demonstrating that the solubilization conditions became more favorable. CEL/HP-β-CD and CEL/HP-β-CD/HPMC solid systems (physical mixtures and coevaporated products) were characterized by differential scanning calorimetry and infrared spectroscopy. Results suggested that the coevaporation method yields a high degree of amorphous entities and indicated the formation of a CEL/HP-β-CD complex in the coevaporated products. The positive effect of HPMC is particularly evident when looking at the CEL dissolution rate from the binary and ternary solid systems. Specifically, the percent of CEL dissolved after 10 min. resulted 84.21% for ternary coevaporated product and 50.18% for binary coevaporated product with respect to 13.10% for the drug alone.     

Preparation and evaluation of binary and ternary inclusion complexes of fenofibrate/hydroxypropyl-β-cyclodextrin

This study aimed to investigate the effect of hydroxypropyl methylcellulose on the complexation of fenofibrate and hydroxypropyl-β-cyclodextrin (HP-β-CD). Initially, phase solubility studies with an excess amount of drug in the HP-β-CD solutions with and without hydroxypropyl methylcellulose (HPMC) were investigated. Both of the binary and ternary complexes were prepared by ball-milling. The complexes were characterized by Fourier transform infrared spectroscopy (FI-IR), X-ray powder diffraction (XPRD), differential scanning calorimetry (DSC) and nuclear magnetic resonance spectroscopy (¹H-NMR). The A_L type phase-solubility diagram revealed that the complexes of fenofibrate and HP-β-CD were formed with molecular ratio of 1:1. The results of FT-IR, XPRD, DSC and ¹H NMR analysis show the formulation of inclusion complexes. In conclusion, the interaction occurrs between fenofibrate and HP-β-CD in the complexes, and the existence of HPMC effectively improves the complexation efficiency and stability constant. The in vitro dissolution test suggests ternary complex is superior to binary complex in terms of the release of fenofibrate.     

联合载体用于改善白藜芦醇固体分散体性能

通过载体聚乙烯吡咯烷酮(PVPk29/32)和羟丙基甲基纤维素(HPMC),采用溶剂法制备白藜芦醇(Res)二元及三元固体分散体。 用傅里叶变换红外光谱(FTIR)、调制式差示扫描量热(MDSC)和X射线粉末衍射(XRD)等技术手段来表征Res二元和三元固体分散体并考察其溶出度。 FTIR结果显示,Res与PVPk29/32及HPMC均存在氢键相互作用;溶出结果表明,二元和三元固体分散体均能提高药物的溶出度。 而XRD和MDSC结果表明,三元固体分散体的相容性优于二元固体分散体;3个月的加速实验(40 ℃,75%RH(relative humidity))中,XRD、MDSC及体外溶出结果表明,Res三元固体分散体的稳定性优于Res二元固体分散体。 HPMC的加入可以改善Res三元固体分散体的溶出及稳定性。     

Thermosensitive Water–Polymer Systems Studied by Luminescent Spectroscopy. Copolymers of N-vinylcaprolactam and N-vinylpyrrolidone

Thermosensitive aqueous solutions of N-vinylcaprolactam/N-vinylpyrrolidone (co)polymers were investigated by luminescent spectroscopy. Investigation of the luminescent intensity and the bound fraction of luminescence indicators interacting to the (co)polymers in water showed that the chemical structure of the water-soluble poly-N-vinylamides defines their functional and structural characteristics such as conformation, intramolecular mobility, compactization and complexation. It was established that the complexing ability of VCL-VP copolymers exceeds that of PVP even at a low content of VCL units. At 85 mol% of VCL the complexation and compactization of the macromolecules were found to be higher than that of pure PVCL. A hinge-like action of VP units incorporated in PVCL structure is suggested to be a reason of the extreme behavior observed for 85:15 VCL:VP composition. This revised version was published online in July 2006 with corrections to the Cover Date.     

Influence of the chain composition on the thermodynamic properties of binary and ternary polymer solutions

Thermodynamic properties of binary and ternary polymer solutions (one or two uncharged polymers in one solvent) were studied. Poly(vinyl pyrrolidone) (PVP), fully hydrolyzed poly(vinyl alcohol) (PVA) homopolymers, and water-soluble poly(vinyl alcohol-co-vinyl acetal, -vinyl propional, and -vinyl butiral) copolymers with various acetal content and chain structure, respectively, were used in the experiments. The hydrophilic/hydrophobic character of the PVA-based macromolecules and their compatibility with the PVP homopolymer were systematically regulated by changing the chemical structure of the copolymers (acetal content and/or length of side chains). The water activities in binary and ternary solutions of the chemically different polymers were determined by a gel-deswelling method developed here for ternary solutions. On the basis of the Flory-Huggins theory, the relevant solvent-segment and segment-segment pair interaction parameters (chi) have been calculated. The chi12 segment-solvent interaction parameters proved to be sensitive indicators for changes in the chemical structure of the copolymers. With increase of either the acetal content or the length of side chains in the copolymer, chi12 approached the value characteristic of a theta condition. No significant differences could be revealed in the segment-segment interaction parameters obtained for the PVP-copolymer mixtures with various acetal derivatives, when the chi12 and chi13 interaction parameters determined in binary solutions were used in the calculations for chi23. Determination of the parameters chi1,23 as suggested by Panayiotou, however, showed that increasing the acetal content or the length of the hydrophobic side chains in the copolymer resulted in a reduction in the interaction between the PVA "acetals" and PVP molecules.     

Binary and ternary uranium(VI) humate complexes studied by attenuated total reflection Fourier-transform infrared spectroscopy

The complexation of U(VI) with humic acid (HA) in aqueous solution has been investigated at an ionic strength of 0.1 M (NaCl) in the pH range between pH 2 and 10 at different carbonate concentrations by attenuated total reflection Fourier-transform infrared (ATR FT-IR) spectroscopy. For the first time, the formation of binary and ternary U(VI) humate complexes was directly verified by in situ spectroscopic measurements. The complex formation constants for the binary U(VI) humate complex (UO(2)HA(II)) and for the ternary U(VI) mono hydroxo humate complex (UO(2)(OH)HA(I)) as well as the ternary U(VI) dicarbonato humate complex (UO(2)(CO(3))(2)HA(II)(4-)) determined from the spectroscopic data amount to log β(0.1 M) = 6.70 ± 0.25, log β(0.1 M) = 15.14 ± 0.25 and log β(0.1 M) = 24.47 ± 0.70, respectively, and verify literature data.     

Inclusion complexes of <Emphasis Type="Italic">p</Emphasis>-hydroxybenzoic acid esters and γ-cyclodextrin

The alkyl esters of p-hydroxybenzoic acid (parabens) are commonly used as preservatives in cosmetics, food products and pharmaceutical formulations because of their wide range antimicrobial activity. However, the usage of parabens in aqueous media has been hampered, especially parabens with long alkyl chains, due to their low aqueous solubility. One approach to increase their solubility is cyclodextrins (CDs) complexation to form water-soluble inclusion complexes. γCD has the widest hydrophobic central cavity and the highest water solubility among natural CDs. Hence, inclusion complexes between γCD and parabens of various alkyl chain lengths were investigated. Results from phase-solubility studies show that methyl- and ethylparaben form various complexes of paraben/γCD (i.e. 1:1, 2:1, etc.) while the 1:1 complex was dominant in propyl- and butylparaben/γCD complex solution. Moreover, the effect of the paraben complexation on the critical aggregation concentration (cac) of γCD in aqueous solutions was determined. It was found that the longer the paraben alkyl chain was the more influence it had on the γCD cac. In pharmaceutical formulations the mixture of parabens (i.e. binary, ternary and quaternary) has been used to maximize antimicrobial effect. It is important to determine how mixtures of parabens affect the solubility of γCD and its cac values upon formation of inclusion complexes. Competition of the different parabens for a space in the γCD central cavity was evaluated by comparing the γCD cac values obtained in presence of the individual parabens and their mixtures.     

Anti-tack action of polyvinylpyrrolidone on hydroxypropylmethylcellulose solution

The anti-tack action of polyvinylpyrrolidone (PVP) on hydroxypropylmethylcellulose (HPMC) solution was elucidated using a probe test method. The influence of PVP of varying molecular weights at various PVP concentrations and solution temperatures on the tackiness of HPMC solution was studied. The viscosity, surface tension, cloud point and solution spectroscopy of HPMC solutions and glass transition temperature of HPMC films, with and without PVP, were investigated. The tackiness of HPMC solutions in response to the addition of PVP, at different concentrations of HPMC and using HPMC with varying contents of hydroxypropyl/methoxyl substitution, was also evaluated. PVP is a commonly used binder and adhesive. However, it reduced the tack of the HPMC solution when used at low concentrations, without affecting the state of hydration of HPMC. Lower molecular weight PVP was more effective as an anti-tack agent owing to suitable hydrodynamic size to intersperse among the HPMC chains. The degree of reduction in tack values was more pronounced for HPMC that showed a greater extent of interaction between polymer chains such as when high concentration of HPMC or low solution temperature was employed. This indicated that the tack reduction property of PVP relied on its ability to interact with the HPMC chains. The profile of reduction in tack values was affected by the contents of HPMC substitution and was a result of net reduction in the extent of hydrogen bonding between HPMC chains. It was significantly correlated to the changes of viscosity and surface tension of the HPMC solutions but not to the glass transition temperatures of the polymers prepared as solid films. The results suggested that the anti-tack action of PVP was attributed to its ability to interact with HPMC chains in the aqueous medium and consequently to reduce the extent of HPMC-HPMC bonding.     

Water-soluble polypyrroles by matrix polymerization: Interpolymer complexes

A new class of water-soluble polypyrroles (PPy) has been developed. This was accomplished by oxidative matrix polymerization of pyrrole (Py) monomer with Ce(IV) in the presence of poly(acrylic acid) (PAA), poly(vinyl pyrrolidone) (PVP), and copolymers (CP) of vinyl pyrrolidone(VP) with acrylic acid (AA) [VP/AA; 25/75 (CP₁), 50/50 (CP₂), 75/25 (CP₃)]. The soluble and insoluble interpolymer complexes were observed according to the nature (and conformation) of polymers in mixture, the ratio of components, and the pH of solutions. The role of PAA, PVP, CP, Py, and Ce(IV) concentrations, the order of component addition, and the pH of the solutions were investigated. The evidence and structural reasons for the formation of soluble interpolymer complexes of PPy with different polymers are discussed. It is proposed that the compactization of the polymer matrix as well as the disturbance of the regularity of reactive groups on the polymer chain decreases the possibility of formation of soluble interpolymer complexes. © 1997 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 35: 1255–1263, 1997     

Polymer combination increased both physical stability and oral absorption of solid dispersions containing a low glass transition temperature drug: physicochemical characterization and in vivo study

The purpose of this study was establishing a solid dispersion formulation containing a low glass transition temperature (T(g)) and poorly water-soluble drug. Drug/polymer blends with differing physicochemical stabilities and oral absorption were prepared from copolyvidone (PVP-VA), polyvinylpyrrolidone (PVP) or hydroxypropylmethylcellulose (HPMC) by a hot melt extrusion. HPMC drastically increased the drug oral absorption property, while PVP-VA or PVP stabilized solid dispersions during storage by increasing the T(g) in proportion to polymer concentration. Experimental T(g) values corresponded closely with theoretical T(g) values; indeed, the T(g) values of solid dispersion with HPMC did not increase significantly compared to the T(g) value for the drug alone. A solid dispersion formulation incorporating two different polymers-HPMC and either PVP-VA or PVP-maintained increased T(g), physicochemical stability, solubility, and bioavailability of the solid dispresions owing to each polymer. These findings suggested that both oral absorption and physicochemical stability of low-T(g) drug will be improved using less amount of solid dispersion of combined two polymers than polymer alone.     

Thermodynamique des complexes metalliques ternaires des amino acides: Etude du systeme Ni(II)—Glycine—DL-α-alanine

Standard enthalpies and entropies of formation for binary and ternary Ni(II) complexes with glycine and DL-α-alanine were calorimetrically determined at 25°C in aqueous solution (I = 1 M NaClO₄). The evolution of these values from binary to ternary complexes is discussed on the basis of the stabilization characterizing the stability constants of the ternary species which have been previously calculated under the same experimental conditions.     

Controlling the assembly of nanoparticle mixtures with two orthogonal polymer complexation reactions

Self-assembly from mixed dispersions of three sizes of monodisperse polystyrene nanoparticles, large (L), medium (M), and small (S), was controlled by coating each particle type with either a monofunctional or bifunctional polymer capable of participating in specific complexation reactions. The complexation reactions were (1) complexation between phenolic polymers and polyethylene glycol (PEG) containing polymers and (2) condensation of phenylboronic acid containing polymers with polyols. These complexation reactions function independently and can be "turned off" independently; phenylboronic acid complexation was reversed by lowering the pH, whereas the interactions of phenolic copolymers with PEG copolymers could be reversed by adding excess PEG homopolymer. The specificity and reversibility of the interactions was demonstrated by the formation of simple binary aggregates from mixtures. The bifunctional copolymers were poly(vinyl phenol-co-diallyldimethyl ammonium chloride), Ph-DADMAC, and poly(3-acrylamide phenylboronic acid-co-PEG methacrylate), PBA-PEG. The monofunctional polymer was polyvinylalcohol, PVA. Ph-DADMAC forms complexes with PBA-PEG (H-bonding) and with anionic surfaces or polymers (electrostatic/polyelectrolyte complexation). PBA-PEG complexes with Ph-DADMAC (H-bonding) and with PVA (boronate ester formation). PVA does not interact with Ph-DADMAC; therefore, PVA coated particles do not deposit onto Ph-DADMAC coated particles.     

Formation of ternary poly(acrylic acid)-surfactant-Cu2+ complexes in aqueous solution: quenching of pyrene fluorescence and pH-controlled "on-off" emitting properties

The formation of binary and ternary complexes of poly(acrylic acid) (PAA) with N, N, N, N-dodecyltrimethylammonium chloride (DTAC) and/or Cu (2+) ions is investigated in dilute aqueous solution through turbidimetry, viscometry, and pyrene fluorescence probing. It is shown that the PAA-DTAC and PAA-Cu (2+) complexation as well as the formation of ternary PAA-DTAC-Cu (2+) complexes are controlled from the pH of the aqueous solution. A pronounced quenching of the emission of pyrene is observed when ternary PAA-DTAC-Cu (2+) complexes are formed, as a result of the close proximity of Cu (2+) ions (complexed along the polymer chain) and the probe (solubilized in the hydrophobic mixed polymer-surfactant aggregates), as indicated from the corresponding Stern-Volmer plots. A significant quenching is also observed when poly(sodium styrene sulfonate) is used instead of PAA, indicating that electrostatically bound Cu (2+) ions are still effective quenchers of the emission of the probes under similar conditions. Finally, it is demonstrated that the formation-deformation of the ternary PAA-DTAC-Cu (2+) complexes upon changing pH may act as a pH-controlled "on-off" switch of the emission of pyrene in aqueous solution.     

PREPARATION AND PROPERTIES OF CHLOROPHYLL/WATER-SOLUBLE MACROMOLECULAR COMPLEXES IN WATER. STABILIZATION OF CHLOROPHYLL AGGREGATES IN THE WATER-SOLUBLE MACROMOLECULE

Abstract— As an artificial model compound of the chlorophyll-protein complex in vivo , the chlorophyll/water-soluble macromolecular complexes were prepared by using synthetic linear polymers of polyvinylpyrrolidone (PVP), polyvinyl alcohol (PVA), polyethylene glycol (PEG), and a natural polymer of bovine serum albumin (BSA). By the method described here, it is possible to prepare an aqueous chlorophyll (Chl)-macromolecular complex solution of a desired Chi aggregate, such as: Chi a (670), Chi a (740) and Chi b ; and with a desired relative content and concentration. These procedures for preparing such complexes will have wide applicability for technical use in Chi studies. For example, extremely diluted aqueous complex solutions of at least 1 × 10^-4% wt Chi a (670 or 740)-macromolecular complex / wt can be obtained without changing the spectral features. From viscosity measurements, the structures of the complexes were inferred: (1) for a linear macromolecular (PVA or PVP) complex, a Chi species is tightly surrounded by a chain of the polymer causing shrinkage of the chain; (2) globular BSA molecules surround Chi species to form a large complex. The mechanism of stabilization of Chi aggregates in thylakoid membrane was discussed concerning an analogy to the complexes studied here.     

PH effects in the complex formation and blending of poly(acrylic acid) with poly(ethylene oxide)

The effect of pH on the complex formation between poly(acrylic acid) (PAA) and poly(ethylene oxide) (PEO) has been studied in aqueous solutions by turbidimetric and fluorescent methods. It was shown that the formation of insoluble interpolymer complexes is observed below a certain critical pH of complexation (pH(crit1)). The formation of hydrophilic interpolymer associates is possible above pH(crit1) and below a certain pH(crit2). The effects of polymer concentrations in solution and PEO molecular weight as well as inorganic salt addition on these critical pH values were studied. The polymeric films based on blends of PAA and PEO were prepared by casting from aqueous solutions with different pHs. These films were characterized by light transmittance measurements and differential scanning calorimetry. The existence of the pH value above which the polymers form an immiscible blend was demonstrated. The transitions between the interpolymer complex, miscible blend, and immiscible blend caused by pH changes are discussed. The recommendations for preparation of homogeneous miscible films based on compositions of poly(carboxylic acids) and various nonionic water-soluble polymers are presented.