Molecular Brushes with a Polyimide Backbone and Poly(ε-Caprolactone) Side Chains by the Combination of ATRP, ROP, and CuAAC

An approach to the synthesis of the novel molecular brushes with a polyimide (PI) backbone and poly(ε-caprolactone) (PCL) side chains was developed. To obtain such copolymers, a combination of various synthesis methods was used, including polycondensation, atom transfer radical polymerization (ATRP), ring opening polymerization (ROP), and Cu (I)-catalyzed azide-alkyne Huisgen cycloaddition (CuAAC). ATRP of 2-hydroxyethyl methacrylate (HEMA) on PI macroinitiator followed by ROP of ε-caprolactone (CL) provided a “brush on brush” structure PI-g-(PHEMA-g-PCL). For the synthesis of PI-g-PCL two synthetic routes combining ROP and CuAAC were compared: (1) polymer-analogous transformations of a multicenter PI macroinitiator with an initiating hydroxyl group separated from the main chain by a triazole ring followed by ROP of CL, or (2) a separate synthesis of macromonomers with the desirable functional groups (polyimide with azide groups and PCL with terminal alkyne groups), followed by a click reaction. Results showed that the first approach allows to obtain graft copolymers with a PI backbone and relatively short PCL side chains. While the implementation of the second approach leads to a more significant increase in the molecular weight, but unreacted linear PCL remains in the system. Obtained macroinitiators and copolymers were characterized using 1H NMR and IR spectroscopy, their molecular weight characteristics were determined by SEC with triple detection. TGA and DSC were used to determine their thermal properties. X-ray scattering data showed that the introduction of a polyimide block into the polycaprolactone matrix did not change the degree of crystallinity of PCL.


Introduction
Polyimides (PI) are an essential class of polymers with a set of valuable properties. In addition to heat, thermal, radiation, and chemical resistance, good film-forming properties, high mechanical strength, and excellent insulating properties, polyimides demonstrate good biocompatibility in vitro and in vivo, as well as low toxicity [1][2][3]. Multicomponent copolymers, in which PI blocks are combined with blocks of biocompatible aliphatic polymers, have great potential for the development of materials for tissue engineering.
Although atom transfer radical polymerization (ATRP) has been successfully used to synthesize many types of copolymers, it remains a challenge to synthesize copolymers of different architectures using monomers that polymerize through fundamentally different mechanisms, such as ATRP and ring opening polymerization (ROP). To solve this problem, one can use initiators containing two types of functional groups capable of initiating each of these processes in parallel and independently [4,5]. Second approach is introduction of a functional group that initiates the polymerization of the second monomer at the stage of initiation or termination of the first monomer polymerization (post-modification) [6].
Thus, in [7], graft copolymers with poly(2-hydroxyethyl methacrylate) (PHEMA) backbone and block copolymer side chains containing blocks of poly(ε-caprolactone) PCL ing and biodegradation. The synthesis of new initiators and ROP of monomers and macromonomers containing functional groups on such initiators is a promising strategy for the preparation of macromolecules of complex architecture. In recent years, due to the development of the ROP method, it has been successfully used to obtain copolymers of different chemical structures and architecture.
Earlier, our research group reported the synthesis of triblock copolymers based on polyimide with external blocks of poly(ε-caprolactone) (PCL) [25], as well as grafted pentablock copolymers of linear-brush topology with external PCL and PMMA blocks and an internal brush-type block PI-g-PMMA [26]. This work is devoted to the development of methods for the synthesis of previously undescribed molecular brushes with a PI backbone and PCL side chains. To obtain such copolymers, a combination of various synthesis methods was used, including polycondensation, ATRP, ROP, and Cu (I) catalyzed azidealkyne Huisgen cycloaddition (CuAAC) [27].

Synthesis of PI-g-PHEMA as Branched Multicenter Macroinitiator with Hydroxyl Groups in Each Repeating Unit of the Side Chains of the Grafted Copolyimide
The polyimide multifunctional macroinitiator with initiating groups in almost every monomer unit was obtained by polycondensation of dianhydride of 3,3 ,4,4 -(1,3diphenoxybenzene)-tetracarboxylic acid and 2,4-diaminophenol, its phenol groups being further modified by 2-bromoisobutyryl bromide. The initial PI1 and the related PI2 multifunctional macroinitiator (Figure 1, see Result and Discussion section) were synthesized using procedures described in our previous publications [28][29][30].
To obtain a brush-type macroinitiator with hydroxyl groups in the side chains, graft copolyimide PI-g-PHEMA was synthesized by polymerization of 2-hydroxyethyl methacrylate (HEMA) on PI2 macroinitiator (Figure 1) by the ATRP. A typical synthesis procedure was as follows. A weighed portion of PI2 (0.075 g, 0.11 mmol per initiating group) and 2,2 -bipyridine (0.052 g, 0.33 mmol) was placed into a 25 mL Schlenk flask equipped with a magnetic stirrer, then DMF (16.5 mL, 0.21 mol) and HEMA (3.65 mL, 0.03 mol) were added with the syringe. The solvent, monomer, and syringes were purged with argon. The flask was sealed with a rubber septum, and the mixture was stirred until the powder was completely dissolved. Then, three freeze−pump−thaw cycles were carried out (evacuation for 15 min), after which the flask was filled with argon. After opening the septum in a stream of argon, CuCl (0.011 g, 0.11 mmol) was added to the reaction mixture, after which the flask was closed again with the septum. Three more freeze−pump−thaw cycles (evacuation for 15 min) of the reaction mixture were carried out. The flask was filled with argon and thermostated in an oil bath, and placed on a magnetic stirrer with a temperature controller, at 30 • C.
After a given reaction time, the reaction mixture was quickly cooled to room temperature and diluted two times with THF. To remove copper salts from the mixture, reaction solution was passed through a column filled with Al 2 O 3 , then concentrated using a rotary evaporator, and the polymerization product was precipitated into a water/methanol mixture with a volume ratio of 1/6. The filtered powder was dried under vacuum at 50 • C.

Synthesis of Graft Copolymers PI-g-(PHEMA-g-PCL)
The synthesis of the copolymer was carried out by ROP of CL in bulk on PI-g-PHEMA.
A typical synthesis procedure is as follows: 0.05 g (0.23 mmol per initiating group) of PI-g-PHEMA was added to a 25-mL Schlenk flask equipped with a magnetic stirrer, and three freeze−pump−thaw cycles were carried out (evacuation for 15 min), after which the flask was filled with argon. Then, 1.2 mL (0.011 mol) of ε-caprolactone was introduced in an argon flow and thermostated at 130 • C using an oil bath. After complete dissolution of the macroinitiator, 0.05 mL (0.15 mmol) of Sn(Oct) 2 was introduced into the reaction in an argon flow. Upon completion of polymerization, the reaction mixture was cooled to room temperature and diluted with methylene chloride. The resulting solution was passed through a silica gel column to purify the product from catalyst and monomer impurities. The solution was then concentrated on a rotary evaporator and the product was precipitated into cooled petroleum ether. The polymer was dried under vacuum at 30 • C.

Introduction of Azide Groups into Polyimide
The functionalization of the polyimide with azide groups was carried out as follows. A weighed portion of PI2 macroinitiator (0.5 g, 0.66 mmol per initiating group) ( Figure 1) and DMF (14.4 mL, 0.19 mol) was placed in a 25-mL round-bottom flask equipped with a magnetic stirrer, and the mixture was stirred until the powder was completely dissolved. Then NaN 3 (0.214 g, 3.3 mmol) was added to the flask and purged with argon for 30 min. The mixture was stirred on a magnetic stirrer at room temperature overnight. The reacted polymer was precipitated into methanol. The filtered powder was dried under vacuum at 50 • C.

Introduction of Distant Hydroxyl Groups to Polyimide
To obtain PI4 initiator (Figure 8, see Result and Discussion section), an azide-alkyne cycloaddition was carried out between the azide groups of PI3 ( Figure 8) and the acetylene groups of propargyl alcohol. The typical synthesis was as follows. A sample of PI3 macroinitiator (0.25 g, 0.32 mmol per initiating group) ( Figure 8) was placed in a 25 mL Schlenk flask equipped with a magnetic stirrer. Propargyl alcohol (92.9 µL, 1.6 mmol) and PMDETA (66.7 µL, 0.32 mmol) were added, and then DMF (4 mL, 0.052 mol) was added using a syringe. The solvent and syringes were purged with argon. The flask was sealed with a rubber septum, and the mixture was stirred until the powder was completely dissolved. Then, three freeze−pump−thaw cycles (evacuation for 15 min) were carried out, after which the flask was filled with argon. After opening the septum, CuBr (0.0457 g, 0.32 mmol) was added to the reaction mixture in an argon flow, after which the flask was closed again with the septum, three more freeze−pump−thaw cycles (evacuation for 15 min) of the reaction mixture were carried out, the flask was filled with argon and thermostated in an oil bath, placed on a magnetic stirrer with a temperature regulator at 50 • C overnight. Then the reaction mixture was cooled to room temperature and the product was precipitated into methanol. Residual copper was disposed of by changing the precipitant and reprecipitation from DMF. The filtered powder was dried under vacuum at 50 • C.

Synthesis of Linear Homopolymer PCL with Terminal Alkyne Groups
The synthesis was carried out by ROP of CL in a solution in toluene using propargyl alcohol as an initiator. A typical synthesis procedure is as follows: Propargyl alcohol (51 µL, 0.89 mmol), ε-caprolactone (1.97 mL, 17.8 mmol), and toluene (2.52 mL, 23.7 mmol) were added to a 10 mL Schlenk flask equipped with a magnetic stirrer. Then three freeze−pump−thaw cycles (evacuation for 15 min) were carried out, after which the flask was filled with argon. Then, 0.08 mL (0.25 mmol) of Sn(Oct) 2 was introduced in an argon flow into the reaction, after which the flask was closed again with a septum, three more freeze−pump−thaw cycles (evacuation for 15 min) of the reaction mixture were carried out, the flask was filled with argon and thermostated in the oil bath, placed on a magnetic stirrer with a temperature controller, at 100 • C for a specified time (3 h) and at 80 • C overnight. Upon completion of polymerization, the reaction mixture was cooled to room temperature and diluted with methylene chloride. The resulting solution was passed through a silica gel column to purify the product from catalyst and monomer impurities. The solution was then concentrated on a rotary evaporator and the product was precipitated into cooled petroleum ether. The polymer was dried under vacuum at 30 • C.

Synthesis of Grafted Copolyimides PI-g-PCL
To obtain the targeted copolymers, two approaches were used. The first approach consisted in ROP of CL on a macroinitiator with distant hydroxyl groups ("graft from"). A typical experiment was as follows. A 10 mL Schlenk flask equipped with a magnetic stirrer was charged with 0.05 g (0.054 mmol per initiating group) of PI4 macroinitiator (Figure 8), sealed with a rubber septum, and then 3 mL (26.9 mmol) of ε-caprolactone was introduced in an argon flow. The mixture was thermostated at 130 • C in an oil bath. After complete dissolution of the initiator, 0.123 mL (0.38 mmol) of Sn(Oct) 2 was introduced into the flask in an argon flow, and the reaction mixture was thermostated for a preset time. The molar ratio of PI4/CL was 1/500. The amount of Sn(Oct) 2 was 5 wt.% in relation to the monomer. Upon completion of polymerization, the reaction mixture was rapidly cooled to room temperature and diluted with methylene chloride. The resulting solution was passed through a silica gel column to purify the product from catalyst and monomer impurities. The solution was then concentrated using a rotary evaporator and the product was precipitated into cooled petroleum ether. The polymer was dried under vacuum at 30 • C.
The second approach was to carry out an azide-alkyne cycloaddition between the azide groups PI3 macroinitiator ( Figure 8) and the alkyne groups of linear PCL. A typical reaction was carried out as follows. A weighed portion of PI3 macroinitiator (0.05 g, 0.064 mmol per initiating group) (Figure 8), PCL (0.447 g, 3.9 mmol per initiating group), and PMDETA (13 µL, 0.064 mmol) was placed in a 25-mL Schlenk flask equipped with a magnetic stirrer, then DMF (3.7 mL, 47.8 mmol) was added using a syringe. The solvent and syringes were purged with argon. The flask was sealed with a rubber septum, and the mixture was stirred until the powder was completely dissolved. Then, three freeze−pump−thaw cycles (evacuation for 15 min) were carried out, after which the flask was filled with argon. After opening the septum, CuBr (0.009 g, 0.064 mmol) was added to the reaction mixture in an argon flow, after which the flask was closed again with the septum, three more freeze−pump−thaw cycles (evacuation for 15 min) of the reaction mixture were carried out, the flask was filled with argon and thermostated in an oil bath placed on a magnetic stirrer with a temperature regulator, at 50 • C overnight. After that the reaction mixture was quickly cooled to room temperature and diluted two times with THF. To remove copper salts from the mixture, it was passed through a column filled with Al 2 O 3 , then concentrated using a rotary evaporator, and precipitated into cooled petroleum ether. The filtered powder was dried under vacuum at 30 • C.

Methods
1 H NMR spectra were recorded on Bruker AC-400 (400.1 MHz), with the signals of the solvent (DMSO-d 6 , CDCl 3 ) as the reference.
IR spectra were recorded using a Shimadzu IR Affinity-1S spectrophotometer in the ATR mode (multiple attenuated total internal reflection) with a 4 cm −1 resolution and 30 scans.
Molecular weights and dispersities (Ð) of the samples were estimated by size exclusion chromatography (SEC) on Agilent-1260 Infinity fitted with differential refractive index (RID), light scattering (LS), and viscometry (VS) detectors equipped with two Agilent PLgel MIXED-C columns (7.5 × 300 mm, 5 µm), 1 × 43 PLgel 5 M guard column (50 × 7.5 mm), and autosampler. The analysis was carried out at 50 • C using 0.1 M LiBr in DMF as eluent at a flow rate of 1.0 mL min −1 . The salt was added to suppress the aggregation of macromolecules. For triple detection analysis the system was calibrated using PMMA standard with M p = 2.16 × 10 3 g mol −1 with dn/dc=0.052. Before analysis, all samples were passed through a 0.45 µm Nylon filters. SEC data were analyzed using Agilent GPC/SEC Software version 1.2.
Thermogravimetric analysis (TGA) of obtained copolymers was performed using a TG 209 F1 Libra analyzer (NETZSCH, Germany) in the temperature range of 25-800 • C and heating rate of 10 deg min -1 under nitrogen. The weight of samples was 2-3 mg.
Melting temperatures and enthalpies of synthesized copolymers were determined by differential scanning calorimetry (DSC) using a DSC 204 F1 Phoenix device (NETZSCH, Germany) at a heating rate of 10 deg min -1 in the range from −30 to +120 • C under nitrogen. The weight of samples was 2.5-3.5 mg.
The wide-angle X-ray scattering (WAXS) was carried out on an upgraded DRON 2.0 diffractometer (Saint-Petersburg, Russia) with CuKα radiation with a 0.154 nm wavelength.

Results and Discussion
PCL blocks were introduced into copolyimides by two fundamentally different ways. In the first case, to obtain grafted copolyimides, a precursor molecular brush with poly(2hydroxyethyl methacrylate) (PHEMA) side chains was synthesized. Hydroxyl groups located in each repeating unit of the side chains of such brushes were used as initiators for carrying out ROP of CL. As a result the "brush on brush" structures PI-g-(PHEMA-g-PCL) were obtained. The second approach was aimed at obtaining graft copolymers with PCL side chains directly attached to the PI backbone. For this, a combination of ROP and CuAAC was used in two different variations.

Synthesis of Multifunctional Polyimide Initiators
The synthesis of multifunctional polyimide initiators with initiating OH-groups PI1 and 2-bromoisobutyrate groups PI2 in each repeating unit ( Figure 1) based on soluble polyimide obtained by polycondensation of 4,4'-(1,3-phenylene-dioxy)bisphthalic anhydride and 2,4-diaminophenol was carried out according to a previously developed method [29]. The synthesis of polyimide was carried out according to the standard two-stage scheme with the preparation of polyamido acid (PAA) at the first stage and its subsequent thermal imidization in solution. During the synthesis of PAA, the equimolar ratio of monomers was strictly observed. The presence of a signal at 10.3 ppm in the 1 H NMR spectrum of the product of thermal imidization of PAA indicated the presence of phenolic groups in PI1 ( Figure 2). To obtain initiator PI2, samples of initiator PI1 were used as precursors, and treated with 2-bromoisobutyryl bromide under conditions that ensure almost complete esterification of the hydroxyl groups of PI1 [29]. The degree of functionalization by initiating 2-bromo-isobutyrate groups of PI2 initiator intended to perform ATRP, was 97 ÷ 99 mol% according to the 1 H NMR spectroscopy data, i.e., virtually every repeating unit contained an initiating group.
of monomers was strictly observed. The presence of a signal at 10.3 ppm in the 1 H NMR spectrum of the product of thermal imidization of PAA indicated the presence of phenolic groups in PI1 (Figure 2). To obtain initiator PI2, samples of initiator PI1 were used as precursors, and treated with 2-bromoisobutyryl bromide under conditions that ensure almost complete esterification of the hydroxyl groups of PI1 [29]. The degree of functionalization by initiating 2-bromo-isobutyrate groups of PI2 initiator intended to perform ATRP, was 97 ÷ 99 mol% according to the 1 H NMR spectroscopy data, i.e., virtually every repeating unit contained an initiating group.  In the IR spectrum of PI1 (Figure 3), in addition to the characteristic bands of symmetric and antisymmetric vibrations of C=O groups of imide rings at 1780 and 1720 cm −1 , respectively, there was an absorption band in the region of 1660 cm −1 , which belongs to the vibrations of OH-phenol groups. The absence of the band at 1680 cm −1 indicates an almost complete conversion of o-carboxyamide groups of PAA to imide rings. It should also be noted that there are no absorption bands in the region of 1620 and 935 cm −1 , the presence of which would indicate the development of benzoxazole rings during the hightemperature reaction with the participation of phenol and imide groups [31]. two-stage scheme with the preparation of polyamido acid (PAA) at the first stage and its subsequent thermal imidization in solution. During the synthesis of PAA, the equimolar ratio of monomers was strictly observed. The presence of a signal at 10.3 ppm in the 1 H NMR spectrum of the product of thermal imidization of PAA indicated the presence of phenolic groups in PI1 (Figure 2). To obtain initiator PI2, samples of initiator PI1 were used as precursors, and treated with 2-bromoisobutyryl bromide under conditions that ensure almost complete esterification of the hydroxyl groups of PI1 [29]. The degree of functionalization by initiating 2-bromo-isobutyrate groups of PI2 initiator intended to perform ATRP, was 97 ÷ 99 mol% according to the 1 H NMR spectroscopy data, i.e., virtually every repeating unit contained an initiating group.  In the IR spectrum of PI1 (Figure 3), in addition to the characteristic bands of symmetric and antisymmetric vibrations of C=O groups of imide rings at 1780 and 1720 cm −1 , respectively, there was an absorption band in the region of 1660 cm −1 , which belongs to the vibrations of OH-phenol groups. The absence of the band at 1680 cm −1 indicates an almost complete conversion of o-carboxyamide groups of PAA to imide rings. It should also be noted that there are no absorption bands in the region of 1620 and 935 cm −1 , the presence of which would indicate the development of benzoxazole rings during the high-temperature reaction with the participation of phenol and imide groups [31]. In the IR spectrum of PI1 (Figure 3), in addition to the characteristic bands of symmetric and antisymmetric vibrations of C=O groups of imide rings at 1780 and 1720 cm −1 , respectively, there was an absorption band in the region of 1660 cm −1 , which belongs to the vibrations of OH-phenol groups. The absence of the band at 1680 cm −1 indicates an almost complete conversion of o-carboxyamide groups of PAA to imide rings. It should also be noted that there are no absorption bands in the region of 1620 and 935 cm −1 , the presence of which would indicate the development of benzoxazole rings during the high-temperature reaction with the participation of phenol and imide groups [31].
It should be noted that in an attempt to obtain initiator similar to PI1 but with a hydroxymethyl group in each repeating unit, during the thermal imidization of PAA based on (3,5-diaminophenyl)methyl alcohol an irreversible gelation rapidly develops at 170-180 • C in the N-MP solution which leads to a product insoluble in amide solvents. Apparently, interlink and/or interchain interactions of a more mobile and reactive (than phenol group) hydroxymethyl group leads to the formation of insoluble supramolecular structures due to hydrogen bonds.  It should be noted that in an attempt to obtain initiator similar to PI1 but with a hydroxymethyl group in each repeating unit, during the thermal imidization of PAA based on (3,5-diaminophenyl)methyl alcohol an irreversible gelation rapidly develops at 170-180 °C in the N-MP solution which leads to a product insoluble in amide solvents. Apparently, interlink and/or interchain interactions of a more mobile and reactive (than phenol group) hydroxymethyl group leads to the formation of insoluble supramolecular structures due to hydrogen bonds.

Synthesis of Brush-on-Brush Type Copolyimides
Previously, we reported [26], that polymerization of CL on PI macroinitiator PI2 (Figure 4) with phenol-type initiation groups practically does not proceed and the main polymerization product is homopolymer PCL. So, the introduction of PCL blocks into the side chains was carried out by performing ROP at the hydroxyethyl groups of the side chains of the polyimide brush with poly(2-hydroxyethyl methacrylate) side chains PI-g-PHEMA, which was used as a branched multifunctional macroinitiator. To obtain it, ATRP of 2-hydroxyethyl methacrylate was carried out on macroinitiator PI2. Table 1 shows the ATRP conditions and the monomer conversion values determined gravimetrically.

Synthesis of Brush-on-Brush Type Copolyimides
Previously, we reported [26], that polymerization of CL on PI macroinitiator PI2 ( Figure 4) with phenol-type initiation groups practically does not proceed and the main polymerization product is homopolymer PCL. So, the introduction of PCL blocks into the side chains was carried out by performing ROP at the hydroxyethyl groups of the side chains of the polyimide brush with poly(2-hydroxyethyl methacrylate) side chains PI-g-PHEMA, which was used as a branched multifunctional macroinitiator. To obtain it, ATRP of 2-hydroxyethyl methacrylate was carried out on macroinitiator PI2. Table 1 shows the ATRP conditions and the monomer conversion values determined gravimetrically.
The formation of the copolymer PI-g-PHEMA was confirmed by the shift of the signals of the methyl protons of 2-bromo-isobutyrate groups from the 1.9 ppm to the 1.5 ppm in the 1 H NMR spectrum of the ATRP products ( Figure 5) and the appearance of signals of methylene protons of the -CH 2 -OH group at the 3.8 ppm while maintaining the signals of aromatic protons in the range of 6.0-8.5 ppm, related to the polyimide backbone. The intensities of the peaks from the PI backbone decreased due to its lower content in the final molecular brush.
In the IR spectrum ( Figure 6) of the HEMA polymerization product, in comparison with the spectrum of the macroinitiator, absorption bands of OH groups at 3500 cm −1 , of methylene groups at 2950 cm −1 belonging to the PHEMA chains appeared, and the band at 1765 cm −1 disappeared, which refers to the vibrations of an ester group with an electronegative substituent (2-Br-substituent) in the α-position.
The structure of the obtained copolymers was proved by the complex use of 1 H NMR spectroscopy and SEC. In the 1 H NMR spectrum ( Figure 5) of the CL polymerization product, signals of methylene protons -OCH 2 -and -COCH 2 -groups of PCL chains were observed at 4.1 and 2.3 ppm, respectively.   The formation of the copolymer PI-g-PHEMA was confirmed by the shift of the signals of the methyl protons of 2-bromo-isobutyrate groups from the 1.9 ppm to the 1.5 ppm in the 1 H NMR spectrum of the ATRP products ( Figure 5) and the appearance of signals of methylene protons of the -CH2-OH group at the 3.8 ppm while maintaining the signals of aromatic protons in the range of 6.0-8.5 ppm, related to the polyimide backbone. The intensities of the peaks from the PI backbone decreased due to its lower content in the final molecular brush.    The formation of the copolymer PI-g-PHEMA was confirmed by the shift of the signals of the methyl protons of 2-bromo-isobutyrate groups from the 1.9 ppm to the 1.5 ppm in the 1 H NMR spectrum of the ATRP products ( Figure 5) and the appearance of signals of methylene protons of the -CH2-OH group at the 3.8 ppm while maintaining the signals of aromatic protons in the range of 6.0-8.5 ppm, related to the polyimide backbone. The intensities of the peaks from the PI backbone decreased due to its lower content in the final molecular brush. In the IR spectrum ( Figure 6) of the HEMA polymerization product, in comparison with the spectrum of the macroinitiator, absorption bands of OH groups at 3500 cm −1 , of methylene groups at 2950 cm −1 belonging to the PHEMA chains appeared, and the band at 1765 cm −1 disappeared, which refers to the vibrations of an ester group with an electronegative substituent (2-Br-substituent) in the α-position. The structure of the obtained copolymers was proved by the complex use of 1 H NMR spectroscopy and SEC. In the 1 H NMR spectrum ( Figure 5) of the CL polymerization product, signals of methylene protons -ОCH2-and -СОCH2-groups of PCL chains were observed at 4.1 and 2.3 ppm, respectively. Sequential offset of the MWD curves in the macroinitiator PI2, PI-g-PHEMA and PIg-(PHEMA-g-PCL) series to the high MM values (Figure 7) and the presence of only one peak for PI-g-(PHEMA-g-PCL) indicates the grafting of PCL side chains to the PHEMA chains. According to the MW data corresponding to this series of polymers (Table 2), when passing from PI to the "brush on brush" structure, the MW increases by almost four times. A significant decrease in the value of the increment of the refractive index dn/dc in the series obviously reflects an increase in the ratio of aliphatic units in the copolymer. Sequential offset of the MWD curves in the macroinitiator PI2, PI-g-PHEMA and PI-g-(PHEMA-g-PCL) series to the high MM values (Figure 7) and the presence of only one peak for PI-g-(PHEMA-g-PCL) indicates the grafting of PCL side chains to the PHEMA chains. According to the MW data corresponding to this series of polymers (Table 2), when passing from PI to the "brush on brush" structure, the MW increases by almost four times. A significant decrease in the value of the increment of the refractive index dn/dc in the series obviously reflects an increase in the ratio of aliphatic units in the copolymer.

Synthesis of Molecular Brushes PI-g-PCL with a Polyimide (PI) Backbone and Polycaprolactone (PCL) Side Chains Using a Combination of ROP and CuAAC
To obtain the targeted copolymers PI-g-PCL, the following synthesis scheme was proposed, which includes two routes (Figure 8).

Synthesis of Molecular Brushes PI-g-PCL with a Polyimide (PI) Backbone and Polycaprolactone (PCL) Side Chains Using a Combination of ROP and CuAAC
To obtain the targeted copolymers PI-g-PCL, the following synthesis scheme was proposed, which includes two routes (Figure 8). Table 2. MW characteristics of macroinitiator PI2, PI-g-PHEMA and PI-g-(PHEMA-g-PCL).

Synthesis of Molecular Brushes PI-g-PCL with a Polyimide (PI) Backbone and Polycaprolactone (PCL) Side Chains Using a Combination of ROP and CuAAC
To obtain the targeted copolymers PI-g-PCL, the following synthesis scheme was proposed, which includes two routes (Figure 8).

Synthesis of PI with Azide Groups
At the first stage, samples of prepolymer PI3 (Figure 8) with azide functional groups were obtained. For this, polyimide macroinitiator PI2 (Figure 8) with 2-bromo-isobutyrate groups was modified under the action of sodium azide NaN 3 . Azidating agent was taken in 4 ÷ 10-fold excess. The reaction proceeded at room temperature for two hours. According to the 1 H NMR spectra (Figure 9), functionalization with sodium azide proceeded completely, as a result of which the signal at 1.9 ppm shifted to the 1.35 ppm. The degree of functionalization was determined by the content of 2-bromo-isobutyrate groups in the initial polyimide macroinitiator, which was 60%. Table 3 presents the molecular weight characteristics of the initial PI2 macroinitiator with 2-bromo-isobutyrate groups and the obtained PI3 macroinitiators with azide groups.
During the isolation of the azidation product, the polymer is apparently fractionated, which leads to a decrease in the dispersity and MW of the obtained macroinitiators PI3. At the first stage, samples of prepolymer PI3 (Figure 8) with azide functional groups were obtained. For this, polyimide macroinitiator PI2 (Figure 8) with 2-bromo-isobutyrate groups was modified under the action of sodium azide NaN3. Azidating agent was taken in 4 ÷ 10-fold excess. The reaction proceeded at room temperature for two hours. According to the 1 H NMR spectra (Figure 9), functionalization with sodium azide proceeded completely, as a result of which the signal at 1.9 ppm shifted to the 1.35 ppm. The degree of functionalization was determined by the content of 2-bromo-isobutyrate groups in the initial polyimide macroinitiator, which was 60%.  Table 3 presents the molecular weight characteristics of the initial PI2 macroinitiator with 2-bromo-isobutyrate groups and the obtained PI3 macroinitiators with azide groups. During the isolation of the azidation product, the polymer is apparently fractionated, which leads to a decrease in the dispersity and MW of the obtained macroinitiators PI3.

Synthesis of PI with Hydroxyl Side Groups Attached to the PI Backbone through the 1,2,3-triazole Linker
To implement the first route of the synthesis, the obtained prepolymer PI3 (Figure 8) was introduced into reaction with the propargyl alcohol. As a result of a click reaction, initiating ROP hydroxyl groups separated from the benzene ring of the backbone by a

Synthesis of PI with Hydroxyl Side Groups Attached to the PI Backbone through the 1,2,3-Triazole Linker
To implement the first route of the synthesis, the obtained prepolymer PI3 (Figure 8) was introduced into reaction with the propargyl alcohol. As a result of a click reaction, initiating ROP hydroxyl groups separated from the benzene ring of the backbone by a triazole ring (macroinitiator PI4, Figure 8) were introduced into the initiator. The reaction was carried out at a 50 • C for 2 hours in an N-MP using a 1.5-fold excess of propargyl alcohol and a CuCl/PMDETA catalytic system. Figure 10 shows the IR spectra of macroinitiators PI3 and PI4 (Figure 8). In the IR spectrum of the macroinitiator PI4, in addition to the characteristic absorption bands of imide rings (at 1370 cm -1 and a doublet at 1776 cm -1 and 1717 cm -1 ), there is a peak at 2300 cm -1 , which refers to the stretching vibrations of the ethynyl group (-C≡CH) ( Figure 10). alcohol and a CuCl/PMDETA catalytic system. Figure 10 shows the IR spectra of macroinitiators PI3 and PI4 (Figure 8). In the IR spectrum of the macroinitiator PI4, in addition to the characteristic absorption bands of imide rings (at 1370 cm -1 and a doublet at 1776 cm -1 and 1717 cm -1 ), there is a peak at 2300 cm -1 , which refers to the stretching vibrations of the ethynyl group (-C≡CH) ( Figure 10).  The resulting polymer PI4, according to the SEC data, had the following characteristics: M n = 34 × 10 −3 , Ð = 1.2.

Synthesis of Molecular Brushes with a PI Backbone and PCL Side Chains by
Polymerization of ε-Caprolactone on a Multicenter Macroinitiator PI4 The resulting macroinitiator PI4 (Figure 8) was used to carry out ROP of CL in bulk (initiator/monomer molar ratio = 1/1000) at 130 • C in an inert atmosphere in the presence of tin (II) octanoate as a catalyst. The 1 H NMR spectrum of the obtained polymer ( Figure 11 Table 4 presents the polymerization conditions and MW characteristics of the obtained molecular brushes with PCL side chains. Therefore, this approach allows to obtain graft copolymers with a PI backbone and relatively short PCL side chains, which is illustrated by the MWDs in Figure 12.  Table 4 presents the polymerization conditions and MW characteristics of the obtained molecular brushes with PCL side chains. Therefore, this approach allows to obtain graft copolymers with a PI backbone and relatively short PCL side chains, which is illustrated by the MWDs in Figure 12.

Synthesis of Molecular Brushes with a PI Backbone and PCL Side Chains by CuAAC of Prepolymers
To implement the second route, a linear PCL ( Figure 8) with a terminal triple bond was synthesized. Polymerization was carried out in bulk at 100 • C using propargyl alcohol as an initiator and tin (II) octanoate as a catalyst. The 1 H NMR spectrum of the polymerization product ( Figure 13       Azide-alkyne cycloaddition was carried out between linear PCL and macroinitiator PI3 (Figure 8), as a result of which the targeted copolyimides PI-g-PCL were also obtained. The click-reaction was carried out in an N-MP at 70 • C for 24 h, using CuCl/PMDETA as the catalytic complex. The molar ratio of the reagents was PI3/PCL/CuCl/PMDETA = 1/2/1/1. Table 6 presents the MW characteristics of the products of click-reaction between linear PCL and macroinitiator with azide groups PI3. It can be seen that the implementation of the second approach leads to a more significant increase in molecular weight (Table 6), but unreacted linear PCL remains in the system. It is found in the form of a second peak in the chromatogram in the lower molecular weight region and its MW completely coincides with the mass of the previously analyzed linear PCL with alkyne end groups.  Table 7 and Figure 14 presents the data on the thermal stability of the PI macroinitiator, PCL macromonomer, and linear and grafted copolyimides based on it. All copolymers lost most of the weight before 400 • C. But they are mostly stable till 275 • C, while linear PCL start to decompose already at 210 • C. The residual mass depends on the content of PI block in the copolymer. While linear PCL retains less than 1% of mass after 800 • C, molecular brush with long PCL side chains (PI-g-PCL 1)-2%, and molecular brush with short PCL side chains (PI-g-PCL 2)-15%.
Melting temperatures (T m ) and enthalpy (∆H m ) of copolymers determined by the DSC method are presented in Table 7. The DSC curves of synthesized copolymers are presented with the endothermic melting peaks ( Figure 15). All copolymers melt in the range from 52 to 58 • C and the melting enthalpy increases with the increase of PI content in the copolymer.  Melting temperatures (Tm) and enthalpy (Нm) of copolymers determined by the DSC method are presented in Table 7. The DSC curves of synthesized copolymers are presented with the endothermic melting peaks ( Figure 15). All copolymers melt in the range from 52 to 58 °C and the melting enthalpy increases with the increase of PI content in the copolymer. Comparison of diffractograms of linear PCL with films of its linear and grafted copolymers showed that they are practically symbate ( Figure 16). Consequently, the introduction of a polyimide block into the polycaprolactone matrix practically did not lead to a change in the degree of crystallinity of PCL. Apparently, the length of the PI blocks between PCL blocks is not enough for the PI to form the amorphous areas in the copolymer, so they're ordered inside PCL crystalline structure.  Comparison of diffractograms of linear PCL with films of its linear and grafted copolymers showed that they are practically symbate ( Figure 16). Consequently, the introduction of a polyimide block into the polycaprolactone matrix practically did not lead to a change in the degree of crystallinity of PCL. Apparently, the length of the PI blocks between PCL blocks is not enough for the PI to form the amorphous areas in the copolymer, so they're ordered inside PCL crystalline structure.
Comparison of diffractograms of linear PCL with films of its linear and grafted copolymers showed that they are practically symbate ( Figure 16). Consequently, the introduction of a polyimide block into the polycaprolactone matrix practically did not lead to a change in the degree of crystallinity of PCL. Apparently, the length of the PI blocks between PCL blocks is not enough for the PI to form the amorphous areas in the copolymer, so they're ordered inside PCL crystalline structure.

Conclusions
Multicomponent copolymers, in which PI blocks are combined with blocks of biocompatible aliphatic polymers, have great potential for the development of materials for tissue engineering. The introduction of PCL blocks into multiblock copolymers is of considerable interest from the point of view of further applications of these copolymers since PCL blocks are capable of undergoing alkaline and plasma etching and biodegradation.

Conclusions
Multicomponent copolymers, in which PI blocks are combined with blocks of biocompatible aliphatic polymers, have great potential for the development of materials for tissue engineering. The introduction of PCL blocks into multiblock copolymers is of considerable interest from the point of view of further applications of these copolymers since PCL blocks are capable of undergoing alkaline and plasma etching and biodegradation. The synthesis of new initiators and the ROP of monomers and macromonomers containing functional groups on such initiators is a promising strategy for the preparation of macromolecules of complex architecture.
In this work we suggested an approach to the synthesis of the novel polymer molecular brushes with a polyimide (PI) backbone and poly(ε-caprolactone) (PCL) side chains. Using combination of polycondensation, ATRP, ROP, and CuAAC -targeted grafted copolyimides PI-g-PCL were synthesized as well as more complex "brush on brush" structures PI-g-(PHEMA-g-PCL). Comparison of different combinations of ROP and CuAAC showed that polymer-analogous transformations of a multicenter PI macroinitiator with an initiating hydroxyl group separated from the main chain by a triazole ring and carrying out ROP on it allows obtaining graft copolymers with a PI backbone and relatively shorter PCL side chains. While a separate synthesis of macromonomers with the desirable functional groups (polyimide with azide groups and PCL with terminal alkyne groups), followed by a click reaction leads to a more significant increase in molecular weight, but unreacted linear PCL remains in the system. X-ray scattering data showed that the introduction of a polyimide block into the polycaprolactone matrix practically did not change the degree of crystallinity of PCL.