Synthesis of Aliphatic Polyanhydrides with Controllable and Reproducible Molecular Weight

Polyanhydrides have been synthesized for decades by melt-polycondensation of diacid monomers and 5 to >10 times mole excess acetic anhydride to diacid monomers to form polymers with a polydispersity ranging from 2.5 to 6 and low reproducibility. Hydrophobic segments in polyanhydrides are beneficial to hinder the characteristic hydrolytic cleavage of an anhydride bond that provides stable polyanhydrides at room temperature. The objective of this work is to synthesize aliphatic polyanhydrides with various hydrophobic segments, controllable and reproducible molecular weight, and low polydispersity that are essential for potential use as drug carriers. A series of polyanhydrides of suberic, azelaic, sebacic, and dodecanedioic acids with controlled molecular weight, reduced polydispersity, and standard deviation of molecular weights, have been synthesized. All synthesized polyanhydrides were thoroughly characterized by NMR, Fourier transform infrared spectroscopy, and gel permeation chromatography. Molecular weights of the synthesized polyanhydrides are highly controllable, depending on the degree of activation of the dicarboxylic acid monomers, i.e., the amount of acetic anhydride used during synthesis. Polyanhydrides have been synthesized in triplicate by melt-polycondensation, using various mole ratios of acetic anhydride to diacids. The standard deviation of the molecular weights of the polyanhydrides is minute when using 1 equivalent of acetic anhydride during the activation of dicarboxylic acids, whereas if excess acetic anhydride is used, the standard deviation is very high. The effect of safe and natural inorganic catalysts, Calcium oxide, Zinc oxide, and Calcium carbonate on polymerization is also studied. As-synthesized poly(sebacic acid) can offer convenience to use in controlled drug delivery applications. In vitro drug release study using Temozolamide (TMZ), a medication used to treat brain tumors such as glioblastoma and anaplastic astrocytoma, shows 14% TMZ release after the first hour and 70% release over one day from the poly(sebacic acid) wafers.

The synthetic method certifying proper control over polyanhydride architecture is key for superior biodegradable polymers. Hence, the objective of this work is to set up a method for the synthesis of polyanhydrides with a desired and controlled molecular weight by reacting diacids with a mole equivalent amount or less acetic anhydride per carboxylic acid residue, and to form polyanhydrides with a chain length correlated to the mole ratio of carboxylic acid groups to acetic anhydride molecules. In all previous publications a large excess of acetic anhydride of 3 to 20 w/v times was used, but this formed polymers of uncontrolled and diverse molecular weights. In this work, dicarboxylic acids (suberic, azelaic, sebacic, and dodecanedioic acids) were reacted with one equivalent of acetic anhydride per carboxylic acid. They formed a polymer with a reproducible molecular weight within the range of the molecular weight obtained when using 1:5 or 1:10 w/v excess of acetic anhydride under the same conditions. The molecular weight is proportionally reduced, as the mole ratio of dicarboxylic acid to acetic anhydride increases.

Spectral Analysis
1 H spectra were obtained on a Varian 300 MHz NMR spectrometer in tubes with 5 mm external diameter. CDCl 3 containing tetramethylsilane was used as a solvent and shift reference. Fourier transform infrared (FTIR) spectroscopy was performed using a Smart iTR ATR sampling accessory for Nicolet iS10 spectrometer with a diamond crystal (Thermo Scientific, Waltham, MA, USA).

Molecular Weight Determination
The molecular weights of the synthesized polyanhydrides were determined by a gel permeation chromatography (GPC) system consisting of a Waters 1515 isocratic HPLC pump with a Waters 2410 refractive index detector, a Waters 717 plus autosampler, and a Rheodyne (Cotati, CA, USA) injection valve with a 20 µL-loop. The samples were eluted with CHCl 3 (HPLC grade) through linear Styragel HR5 column (Waters) at a flow rate of 1 mL/min. The molecular weights were determined relative to polystyrene standards (Polyscience, Warrington, PA, USA).

Synthesis of Polyanhydrides Using Acetic Anhydride
All polyanhydrides were synthesized by reflux of respective diacids with different amounts of acetic anhydride followed by the polymerization through melt condensation.

Synthesis of Poly(sebacic Acid)
The sebacic acid (2.0 g) was melted at 140 • C under nitrogen atmosphere. Then different amounts (5 equiv., 1.0 equiv., 0.75 equiv., 0.50 equiv., 0.25 equiv., and 0.10 equiv.) of acetic anhydride with respect to carboxylic acid groups were added to the molten dicarboxylic monomer and refluxed at 140 • C for 1 h. Excess acetic anhydride or acetic acid was evaporated. The residue was then subjected to melt condensation at 160 • C under vacuum (~10 m bar) for 4 h. In addition, a reaction with 0.1 equiv. acetic anhydride was kept overnight for melt condensation. The polymers obtained were characterized by NMR, FTIR, and GPC. 1

Extension to Other Dicarboxylic Acids
In a typical synthesis, 2 g of each dicarboxylic monomer (suberic acid, azelaic acid, and dodecanedioic acids) was melted at 140 • C under nitrogen atmosphere. Then, different amounts (5 equiv., 1.0 equiv., 0.75 equiv., 0.5 equiv., and 0.25 equiv.) of acetic anhydride with respect to carboxylic acid groups were added to every molten dicarboxylic monomer and refluxed at 140 • C for 1 h. Excess acetic anhydride or acetic acid was evaporated. The residue was then subjected to melt condensation at 160 • C under vacuum (~10 m bar) for 4 h and characterized by NMR, FTIR, and GPC.
2.6. Wafer Preparation of 50% Tmz, 50% Poly(Sebacic Acid), 2 Coating Layers 35 mg of poly(sebacic acid) was dissolved into 0.25 mL of dichloromethane (DCM). 70 mg of TMZ was inserted into the polymer solution and stirred until complete evaporation of the DCM and formation of a powder. The second coating was applied by adding the coated powder in a new poly(sebacic acid) solution (35 mg of polymer in 0.25 mL DCM) and mixing for evaporation of most of the DCM. Heptane (5 mL, 1:20) was added and was mixed well. Then particles were allowed to precipitate, the solvent was decanted, and fresh heptane was added (5 mL). Heptane was decanted again, and the particles were dried in room air. Wafers of 10 mg each, 3 mm in diameter, were prepared by compression molding at 1.5 tons.

In Vitro Drug Release
Poly(sebacic acid) was investigated for its in vitro drug release properties using TMZ as a model drug. TMZ wafers (10 mg) were added into 5 mL of acetate buffer pH 3.5 as a release medium, incubated, the stirred at 37 • C. The solutions were taken out after 1 h, 24 h, 4 days, and 7 days without disturbing the formulation. After removing the release medium, a fresh buffer solution was added at all time points. TMZ content in the released samples was determined by HPLC. All the experiments were done in triplicate.

HPLC Analysis for TMZ Release Study
HPLC analysis was performed on a LiChrospher ® RP-C18 (5 µm) column packed in LichroCART 250-4 HPLC cartridges (Merck, Germany). The chromatographic system used was a Merck Hitachi Lachrom HPLC system equipped with a UV detector (Model Lachrom L7400). The mobile phase consisted of an aqueous phase (0.5% of glacial acetic acid in double distilled water) and organic phase (methanol) in a ratio of 9:1 used in isocratic mode. Sample injection volume was 50 µL. The analysis was carried out at an auto-sampler temperature of 17 • C, column at room temperature, and flow rate of 1.0 mL/min. The effluent was monitored on the UV detector attached to the HPLC system at a wavelength of 254 nm. TMZ showed a retention time of 6.32 min. under these conditions. Calibration plots for TMZ were prepared in a concentration range of 0.2-100 µg/mL.

Synthesis of Polyanhydrides
A series of polyanhydrides was synthesized through a solvent-free melt polycondensation process using different dicarboxylic acids. The detailed synthetic methodology is given in Scheme 1. At first each diacid was activated using acetic anhydride, and then the polyanhydrides were obtained by melt condensation. If an excess amount of acetic anhydride was taken compared to diacids, it had to be evaporated to dryness under vacuum at 70 • C. The clear residue was further polymerized by melt condensation at 160 • C for 4 h under vacuum (10 mbar) with constant stirring, yielding polyanhydrides as the final polymer.
Pharmaceutics 2022, 14, x FOR PEER REVIEW 5 of 12 The effluent was monitored on the UV detector attached to the HPLC system at a wavelength of 254 nm. TMZ showed a retention time of 6.32 min. under these conditions. Calibration plots for TMZ were prepared in a concentration range of 0.2-100 μg/mL.

Synthesis of Polyanhydrides
A series of polyanhydrides was synthesized through a solvent-free melt polycondensation process using different dicarboxylic acids. The detailed synthetic methodology is given in Scheme 1. At first each diacid was activated using acetic anhydride, and then the polyanhydrides were obtained by melt condensation. If an excess amount of acetic anhydride was taken compared to diacids, it had to be evaporated to dryness under vacuum at 70 °C. The clear residue was further polymerized by melt condensation at 160 °C for 4 h under vacuum (10 mbar) with constant stirring, yielding polyanhydrides as the final polymer.

FTIR Study
The FTIR spectra of poly(sebacic acid) and pure sebacic acid are presented in Figure  1. The characteristic stretching frequency of the C=O (acid) of sebacic acid arises at 1700 cm −1 . The diacid was polymerized, and polyanhydrides were confirmed by the characteristic bands at 1810 cm −1 and for 1740 cm −1 for C=O (anhydride) of poly(sebacic acid). FTIR spectra of the synthesized polyanhydrides show that the C=O stretching frequency of the acid group at ~1700 cm −1 decreases with the increase in the acetic anhydride to acid ratio, while the anhydride bond stretching peak at ~1815 cm −1 rises, as shown for the polymerization of sebacic acid ( Figure 1) [30].

FTIR Study
The FTIR spectra of poly(sebacic acid) and pure sebacic acid are presented in Figure 1. The characteristic stretching frequency of the C=O (acid) of sebacic acid arises at 1700 cm −1 . The diacid was polymerized, and polyanhydrides were confirmed by the characteristic bands at 1810 cm −1 and for 1740 cm −1 for C=O (anhydride) of poly(sebacic acid). FTIR spectra of the synthesized polyanhydrides show that the C=O stretching frequency of the acid group at~1700 cm −1 decreases with the increase in the acetic anhydride to acid ratio, while the anhydride bond stretching peak at~1815 cm −1 rises, as shown for the polymerization of sebacic acid ( Figure 1) [30]. The ratios of peak height of anhydride with respect to acid show that it gradua increases from 0.25 equivalents to 1 or 5 equivalents of used acetic anhydride. When 0. equiv. of acetic anhydride is used, the weak stretching frequencies at ~1815 cm −1 and ~17 cm −1 , and strong frequency around ~1700 cm −1 correspond to anhydride and carboxy acid bonds [30]. This indicates the presence of acids and partial conversion to anhydrid due to the formation of polyanhydrides with low molecular weight. When increasing t  The ratios of peak height of anhydride with respect to acid show that it gradually increases from 0.25 equivalents to 1 or 5 equivalents of used acetic anhydride. When 0.25 equiv. of acetic anhydride is used, the weak stretching frequencies at~1815 cm −1 and~1740 cm −1 , and strong frequency around~1700 cm −1 correspond to anhydride and carboxylic acid bonds [30]. This indicates the presence of acids and partial conversion to anhydrides due to the formation of polyanhydrides with low molecular weight. When increasing the quantity of acetic anhydride from 0.25 equiv. to 1.0 equiv., an increase in the anhydride bond intensity and a decrease in the acid bond intensity in FTIR spectra were observed. When 1 equiv. of acetic anhydride is used, almost all the acids are converted into anhydrides.

NMR Study
The synthesized polyanhydrides were characterized by NMR to confirm the structure ( Figure 2). 1  were synthesized using 1 equiv. of acetic anhydride with respect to the acid groups [31]. These NMR studies confirm the successful formation of each polyanhydride.

Molecular Weight Measurement by GPC
The molecular weight of the synthesized polyanhydrides in triplicate was analyzed by GPC. Figure 3 shows the GPC overlay chromatograms of the polymers resulted from the synthesis of PSA prepared by melt condensation using mole ratios of 0.25, 0.5, 1.0 and 5.0 acetic anhydride to carboxylic acid moieties of the diacid monomers. The molecular weight of each polyanhydride gradually increases when adding more acetic anhydride from 0.25 equiv. to 1 or 5 equivalents (Figure 4a). The dicarboxylic acid monomers are converted into polymers with weight average molecular weights (Mw) of ~1500 Da, ~2600 Da, ~5500 Da, ~16,000 Da by using 0.25 equiv., 0.5 equiv., 0.75 equiv., and 1 equiv. of acetic anhydride, respectively.

Molecular Weight Measurement by GPC
The molecular weight of the synthesized polyanhydrides in triplicate was analyzed by GPC. Figure 3 shows the GPC overlay chromatograms of the polymers resulted from the synthesis of PSA prepared by melt condensation using mole ratios of 0.25, 0.5, 1.0 and 5.0 acetic anhydride to carboxylic acid moieties of the diacid monomers. The molecular weight of each polyanhydride gradually increases when adding more acetic anhydride from 0.25 equiv. to 1 or 5 equivalents (Figure 4a). The dicarboxylic acid monomers are converted into polymers with weight average molecular weights (M w ) of~1500 Da, 2600 Da,~5500 Da,~16,000 Da by using 0.25 equiv., 0.5 equiv., 0.75 equiv., and 1 equiv. of acetic anhydride, respectively. Pharmaceutics 2022, 14, x FOR PEER REVIEW 8 of 12 The study reveals that 1.0 equiv. of acetic anhydride is sufficient to obtain almost similar molecular weight, when 5 equiv. (excess) acetic anhydride is employed. However, 0.1 equiv. acetic anhydride is insufficient for the synthesis of polyanhydrides even after overnight polymerization. Control over the molecular weight of polyanhydride depending upon the acetic anhydride used is given in Figure 4b, in which the variation of standard deviation of the Mw of the synthesized polyanhydrides in triplicate were plotted against the used acetic anhydride during the activation of dicarboxylic acid monomers. The polymers of dicarboxylic acid have a control molecular weight with standard deviation of <500 by using 1 equiv. or less of acetic anhydride, whereas if excess acetic anhydride is used, the standard deviation is very high (~2500). The polydispersity of the polyanhydrides synthesized with 1 equivalent of acetic anhydride was in the range of 1.3 to 2.0, while the polymers synthesized using 5 equivalents of acetic anhydrides possess polydispersity between 2.5 and 5.5.
The controlled molecular weight and narrow polydispersity are related to the fact that when reacting the diacid monomers with a mole equivalent or less of acetic anhydride, all acetic anhydride is used for the formation of the activated diacid anhydride with some carboxylic acid groups remaining without acetylation. The number of free carboxylic acid groups remaining in the polymerization system is proportionate to the mole ratio of the starting ratio of acetic anhydride to carboxylic acids; the less acetic anhydride used, more free carboxylic acids are in the polymerization system. These free carboxylic acids serve as chain terminations, resulting in a controlled and lower molecular weight that is proportional to the acetic anhydride use. When excess acetic anhydride is used, the reaction solution is much less viscous which allows oligomer formation with no carboxylic acid terminators. Thus, the molecular weight is dependent on the polymerization conditions. The study reveals that 1.0 equiv. of acetic anhydride is sufficient to obtain almost similar molecular weight, when 5 equiv. (excess) acetic anhydride is employed. However, 0.1 equiv. acetic anhydride is insufficient for the synthesis of polyanhydrides even after overnight polymerization. Control over the molecular weight of polyanhydride depending upon the acetic anhydride used is given in Figure 4b, in which the variation of standard deviation of the Mw of the synthesized polyanhydrides in triplicate were plotted against the used acetic anhydride during the activation of dicarboxylic acid monomers. The polymers of dicarboxylic acid have a control molecular weight with standard deviation of <500 by using 1 equiv. or less of acetic anhydride, whereas if excess acetic anhydride is used, the standard deviation is very high (~2500). The polydispersity of the polyanhydrides synthesized with 1 equivalent of acetic anhydride was in the range of 1.3 to 2.0, while the polymers synthesized using 5 equivalents of acetic anhydrides possess polydispersity between 2.5 and 5.5.
The controlled molecular weight and narrow polydispersity are related to the fact that when reacting the diacid monomers with a mole equivalent or less of acetic anhydride, all acetic anhydride is used for the formation of the activated diacid anhydride with some carboxylic acid groups remaining without acetylation. The number of free carboxylic acid groups remaining in the polymerization system is proportionate to the mole ratio of the starting ratio of acetic anhydride to carboxylic acids; the less acetic anhydride used, more free carboxylic acids are in the polymerization system. These free carboxylic acids serve as chain terminations, resulting in a controlled and lower molecular weight that is proportional to the acetic anhydride use. When excess acetic anhydride is used, the reaction solution is much less viscous which allows oligomer formation with no carboxylic acid terminators. Thus, the molecular weight is dependent on the polymerization conditions.

Effect of Inorganic Catalysts on Molecular Weight
Poly(sebacic acid) was also synthesized in the presence of polymerization catalysts [29]. Sebacic acid was activated by heating with acetic anhydride (0.3 equiv.). The following agents were used: toluene (1:1 w/v), CaO (1 mol%), ZnO (1 mol%), and CaCO3 (1 mol%). Neat condition (without any catalyst) was used as a control experiment. The molecular weight was determined by GPC ( Figure 5). The study reveals that 1.0 equiv. of acetic anhydride is sufficient to obtain almost similar molecular weight, when 5 equiv. (excess) acetic anhydride is employed. However, 0.1 equiv. acetic anhydride is insufficient for the synthesis of polyanhydrides even after overnight polymerization. Control over the molecular weight of polyanhydride depending upon the acetic anhydride used is given in Figure 4b, in which the variation of standard deviation of the M w of the synthesized polyanhydrides in triplicate were plotted against the used acetic anhydride during the activation of dicarboxylic acid monomers. The polymers of dicarboxylic acid have a control molecular weight with standard deviation of <500 by using 1 equiv. or less of acetic anhydride, whereas if excess acetic anhydride is used, the standard deviation is very high (~2500). The polydispersity of the polyanhydrides synthesized with 1 equivalent of acetic anhydride was in the range of 1.3 to 2.0, while the polymers synthesized using 5 equivalents of acetic anhydrides possess polydispersity between 2.5 and 5.5.
The controlled molecular weight and narrow polydispersity are related to the fact that when reacting the diacid monomers with a mole equivalent or less of acetic anhydride, all acetic anhydride is used for the formation of the activated diacid anhydride with some carboxylic acid groups remaining without acetylation. The number of free carboxylic acid groups remaining in the polymerization system is proportionate to the mole ratio of the starting ratio of acetic anhydride to carboxylic acids; the less acetic anhydride used, more free carboxylic acids are in the polymerization system. These free carboxylic acids serve as chain terminations, resulting in a controlled and lower molecular weight that is proportional to the acetic anhydride use. When excess acetic anhydride is used, the reaction solution is much less viscous which allows oligomer formation with no carboxylic acid terminators. Thus, the molecular weight is dependent on the polymerization conditions.

Effect of Inorganic Catalysts on Molecular Weight
Poly(sebacic acid) was also synthesized in the presence of polymerization catalysts [29]. Sebacic acid was activated by heating with acetic anhydride (0.3 equiv.). The following agents were used: toluene (1:1 w/v), CaO (1 mol%), ZnO (1 mol%), and CaCO 3 (1 mol%). Neat condition (without any catalyst) was used as a control experiment. The molecular weight was determined by GPC ( Figure 5). An increase in Mw was obtained compared to the polymerization conducted without catalysts. CaO was superior among the used catalysts. FT-IR spectra of the synthesized poly(sebacic acid) confirmed incomplete polymerization of the diacids as a peak at 1700 cm −1 is visible, although the size ratio decreases with the increase in molecular weight.

In Vitro Drug Release Studies
The synthesized poly(sebacic acid) was examined for its in vitro drug release pattern using temozolamide (TMZ), a highly water soluble anticancer drug for treating brain tumors. Wafers containing 50% w/w TMZ were prepared by first solvent coating of the TMZ particles with PSA, followed by compression molding into a tablet. Tablets made from direct mixing of PSA and TMZ powders resulted in an immediate release of TMZ. The in vitro release was conducted at pH 3.5, due to the instability of TMZ at pH > 4. The results reveal that the TMZ was released from the PSA wafers during 4 days. 14% was released An increase in M w was obtained compared to the polymerization conducted without catalysts. CaO was superior among the used catalysts. FT-IR spectra of the synthesized poly(sebacic acid) confirmed incomplete polymerization of the diacids as a peak at 1700 cm −1 is visible, although the size ratio decreases with the increase in molecular weight.

In Vitro Drug Release Studies
The synthesized poly(sebacic acid) was examined for its in vitro drug release pattern using temozolamide (TMZ), a highly water soluble anticancer drug for treating brain tumors. Wafers containing 50% w/w TMZ were prepared by first solvent coating of the TMZ particles with PSA, followed by compression molding into a tablet. Tablets made from direct mixing of PSA and TMZ powders resulted in an immediate release of TMZ. The in vitro release was conducted at pH 3.5, due to the instability of TMZ at pH > 4. The results reveal that the TMZ was released from the PSA wafers during 4 days. 14% was released at the first hour, and 70% of the drug was released over one day. The in vitro release of TMZ in acetate buffer of pH 3.5 at 37 • C result is given in Figure 6. This pH was selected due to the limited stability of TMZ at pH > 3.5. The weight loss of the polymer carrier under the same release study, after 1, 4, and 7 days was, 5, 20 and 35% w/w.

Conclusions
An effective route for the synthesis of aliphatic polyanhydride, made from a series of dicarboxylic acids with controlled molecular weight and narrow polydispersity, is described (Appendix A, Figure A1). One equivalent of acetic anhydride to acid groups in the diacid monomers is sufficient to obtain a polymer with controlled molecular weight and narrow polydispersity. This is probably due to carboxylic acid end groups that terminate the polymerization. Thus, as the molar ratio of acetic anhydride to carboxylic acid is below 1, more carboxylic acid groups exist in the polymerization system that serve as terminators, resulting in a reduction in the molecular weight of the polymers. When toluene, CaO, ZnO, and CaCO3 are added to the polymerization, a higher molecular weight is obtained compared to polymerization conducted without a catalyst. The molecular weights of the synthesized polymers in this protocol are highly controllable, depending upon the degree of activation of the monomers. The synthesized injectable pasty poly(sebacic acid) was analyzed for in vitro drug release using Temozolamide. It shows a 14% drug release at the first hour and 70% release over one day from the poly(sebacic acid) wafers. Hence, this route presents the possibility to produce aliphatic polyanhydride with controlled molecular weight for possible use in the preparation of degradable disposable medical supplies.

Conclusions
An effective route for the synthesis of aliphatic polyanhydride, made from a series of dicarboxylic acids with controlled molecular weight and narrow polydispersity, is described (Appendix A, Figure A1). One equivalent of acetic anhydride to acid groups in the diacid monomers is sufficient to obtain a polymer with controlled molecular weight and narrow polydispersity. This is probably due to carboxylic acid end groups that terminate the polymerization. Thus, as the molar ratio of acetic anhydride to carboxylic acid is below 1, more carboxylic acid groups exist in the polymerization system that serve as terminators, resulting in a reduction in the molecular weight of the polymers. When toluene, CaO, ZnO, and CaCO 3 are added to the polymerization, a higher molecular weight is obtained compared to polymerization conducted without a catalyst. The molecular weights of the synthesized polymers in this protocol are highly controllable, depending upon the degree of activation of the monomers. The synthesized injectable pasty poly(sebacic acid) was analyzed for in vitro drug release using Temozolamide. It shows a 14% drug release at the first hour and 70% release over one day from the poly(sebacic acid) wafers. Hence, this route presents the possibility to produce aliphatic polyanhydride with controlled molecular weight for possible use in the preparation of degradable disposable medical supplies.

Conflicts of Interest:
The authors declare that there is no conflict of interest. The company had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, and in the decision to publish the results.

Appendix A. Table of Contents
Biodegradable aliphatic polyanhydrides from diverse dicarboxilic acids with controlled molecular weight and less standard deviation are synthesized using the various quantities of acetic anhydride by melt polycondensation. This route brought forward an idea for producing aliphatic polyanhydride with targeted molecular weight for better use in the preparation of degradable disposable medical supplies.
Pharmaceutics 2022, 14, x FOR PEER REVIEW 11 of 12 quantities of acetic anhydride by melt polycondensation. This route brought forward an idea for producing aliphatic polyanhydride with targeted molecular weight for better use in the preparation of degradable disposable medical supplies.