Synthesis, Characterization and Broad-Spectrum Bactericidal Effects of Ammonium Methyl and Ammonium Ethyl Styrene-Based Nanoparticles

Untreatable infections, growing healthcare costs, and increasing human mortality due to the rising resistance of bacteria to most of the available antibiotics are global phenomena that urgently require the discovery of new and effective antimicrobial agents. Cationic macromolecules, acting as membrane disruptors, are widely studied, and several compounds, including two styrene-based copolymers developed by us (P5 and P7), have proved to possess potent broad-spectrum antibacterial effects, regardless of the resistance profiles of the bacteria. Here, we first reported the synthesis and physicochemical characterization of new cationic nanoparticles (NPs) (CP1 and OP2), obtained by polymerizing the monomers 4-ammoniummethylstyrene (4-AMSTY) and 4-ammoniumethylstyrene (4-AESTY) hydrochlorides, whose structures were designed using the cationic monomers of P5 and P7 as template compounds. The antibacterial activity of CP1 and OP2 was assessed against several Gram-positive and Gram-negative multi-drug resistant (MDR) pathogens, observing potent antibacterial effects for both CP1 (MICs = 0.1–0.8 µM) and OP2 (MICs = 0.35–2.8 µM) against most of the tested isolates. Additionally, time-killing studies carried out with CP1 and OP2 on different strains of the most clinically relevant MDR species demonstrated that they kill pathogens rapidly. Due to their interesting physicochemical characteristics, which could enable their mutual formulation as hydrogels, CP1 and OP2 could represent promising ingredients for the development of novel antibacterial dosage forms for topical applications, capable of overcoming severe infections sustained by bacteria resistant to the presently available antibiotics.


Introduction
Cationic nanosized macromolecules (cationic nanoparticles (CNPs)) including cationic dendrimers [1], quaternized carbon quantum dots (qCQDs) [2], as well as polymers and amphiphilic copolymers [3], have been and are extensively studied by experts in various sectors of microbiology. In addition to biomedicine, research related to environmental health and the food industry, especially that of food packaging, are also areas affected by CNPs for their ability to limit or inhibit bacterial growth, both in solution and on surfaces. CNPs perform well as antibacterial/bactericidal agents because they are positively charged and, by mimicking the behavior of natural cationic antimicrobial peptides (NCAPs), kill bacteria on contact, causing irreparable damage in their anionic membranes up to their disruption [1][2][3]. Particularly, following the electrostatic interactions of CNPs with the anionic constituents of the bacterial surface and their diffusion to the cytoplasmic membrane (CM), the bacterial membrane depolarizes, and progressive permeabilization occurs, leading to membrane disruption, loss of cytoplasmic content, and bacterial death [1][2][3][4][5][6][7]. Due to Particularly, on the results from the preliminary studies of homo-polymerization and copolymerization of M1 and M2, we prepared the copolymer CP1 and the homopolymer OP2, whose structures were defined by spectroscopic techniques, and which were shown to possess the physicochemical properties suitable for a possible topical and/or systemic clinical application. Therefore, the antibacterial activity of CP1 and OP2 was assessed against several Gram-positive and Gram-negative MDR pathogens, observing potent antibacterial effects for both CP1 and OP2 against most of the tested isolates. Additionally, time-killing studies carried out with CP1 and OP2 on different strains of the most clinically relevant species of bacteria demonstrated their rapid and definitive bactericidal effects.

Chemicals and Instruments
4-Chloromethylstyrene (1a) and all the other reagents and solvents were from Merck (formerly Sigma-Aldrich, Darmstadt, Germany) and were purified by standard procedures. Azo-bis-isobutyronitrile (AIBN) was crystallized from methanol (MeOH). 4-(2-bromoethyl)-styrene (1b) was prepared by a known procedure [16]. The organic solutions were dried over anhydrous magnesium sulphate and were evaporated using a rotatory evaporator operating at a reduced pressure of about 10-20 mmHg. The melting ranges of the solid compounds in this study were determined on a 360 D melting point device with a resolution of 0.1 • C (MICROTECH S.R.L., Pozzuoli, Naples, Italy). The melting points and boiling points are uncorrected. The FTIR spectra were recorded as films or KBr pellets on a Perkin Elmer System 2000 instrument (PerkinElmer, Inc., Waltham, MA, USA), while ATR-FTIR analyses were carried out using a Spectrum Two FT-IR Spectrometer (PerkinElmer, Inc., Waltham, MA, USA) 1 H and 13 C NMR spectra were acquired on a Bruker DPX spectrometer (Bruker Italia S.r.l., Milan, Italy) at 300 and 75.5 MHz, respectively. Fully decoupled 13 C NMR spectra were reported. Chemical shifts were reported in ppm (parts per million) units relative to the internal standard tetra-methyl-silane (TMS = 0.00 ppm), and the splitting patterns were described as follows: s (singlet), d (doublet), t (triplet), q (quartet), m (multiplet), and br (broad signal). Mass spectra were obtained with a GC-MS Ion Trap Varian Saturn 2000 instrument (Varian, Inc., CA, USA; EI or CI mode; filament current: 10 mA) equipped with a DB-5MS (J&W) capillary column. Elemental analyses were performed with an EA1110 Elemental Analyzer (Fison Instruments Ltd., Farnborough, Hampshire, England). The UV-Vis spectra were acquired using a UV-Vis spectrophotometer (HP 8453, Hewlett Packard, Palo Alto, CA, USA) equipped with a 3 mL cuvette. HPLC analyses were performed on a Jasco model PU-980 instrument (JASCO Corporation, Hachioji, Tokyo, Japan), equipped with a Jasco Model UV-970/975 intelligent UV/Vis detector (JASCO Corporation, Hachioji, Tokyo, Japan) at room temperature. A constant flow rate (1 mL/min), UV detection at 254 nm, a 25 × 0.46 cm Hypersil ODS 5 mm column, and a mixture of acetonitrile/water 6/4 as an eluent were employed for the acquisitions. GC-FID analyses were performed on a Perkin Elmer Autosystem (Varian, Inc., Palo Alto, CA, USA), using a DB-5, 30 m, diameter 0.32 mm, and a film 1 mm capillary column. Column chromatography was performed on Merck silica gel (70-230 mesh). Viscosity measurements were performed with an Ubbelhode micro viscosimeter (SI Analytics, Hattenbergstr, Germany) at 30 • C in MeOH. Dynamic Light Scattering (DLS) and Z-potential (ζ-p) determinations were performed using a Malvern Nano ZS90 light scattering apparatus (Malvern Instruments Ltd., Worcestershire, UK). Potentiometric titrations were carried out using a Hanna Micro-processor Bench pH Meter (Hanna Instruments Italia srl, Ronchi di Villafranca Padovana, Padova, Italy), which was calibrated using standard solutions at pH =4, 7, and 10 before titrations. Lyophilizations were performed using a freeze-dry system (Labconco, Kansas City, MI, USA). Thin layer chromatography (TLC) was carried out using aluminum-backed silica gel plates (Merck DC-Alufolien Kieselgel 60 F254, Merck, Washington, DC, USA), and detection of spots was made by UV light (254 nm) using a Handheld UV Lamp, LW/SW, 6W, UVGL-58 (Science Company ® , Lakewood, CO, USA).

Hydrazinolysis of Phthalimides 2a and 2b
Phthalimide 2a or 2b (38.3 mmol) was dissolved in 95% ethanol (EtOH, 50 mL) and treated under N 2 , and stirred at reflux with a solution of hydrazine hydrate (2.74 g, 54.7 mmol) in 95% EtOH (5 mL) for 2.5 h up to the disappearance of the reagents spot in TLC analyses (eluent benzene). After the removal of the solvent at a reduced pressure, the solid residue was treated with CHCl 3 (50 mL) and then with 20% aqueous NaOH (50 mL). The aqueous phase was separated, extracted with CHCl 3 (3 × 50 mL), and the extracts were combined and dried over MgSO 4 . The removal of chloroform gave the free bases 3a (90%) or 3b (92%) as oils which were transformed into their hydrochlorides without further purification. Anyway, the free base 3a was also vacuum distilled and characterized. Bp 58-60 • C/1 torr. 1 H NMR (300 MHz, CDCl 3 , ppm): 1.76 (bs, 2H); 3.84 (s, 2H); 5.22 (dd, 1H, J gem = 0.9 Hz; J cis = 10.9 Hz); 5.72 (dd, 1H, J gem = 0.9 Hz; J trans = 17.6 Hz); 6.70 (dd, 1H, J cis = 10.9 Hz; J trans = 17.6 Hz); 7.24-7.39 (m, 4H). 13  A solution of the free amine 3a or 3b (25 mmol) in dry diethyl ether (500 mL) was cooled to 0 • C and treated under stirring with dry gaseous hydrochloric acid up to saturation. The white precipitate was filtered, washed with fresh ether, dried, and crystallized from 2-propanol (M1) or EtOH (M2) to provide the hydrochloride derivatives 4a and 4b, which were used as active monomers, namely M1 and M2, in the reaction of copolymerization and homo-polymerization, respectively.  13  First, the relative viscosity of CP1 and OP2 (η rel ) was determined by using a Ubbelhode micro viscosimeter. Briefly, solutions of both polymers at polymer concentration (Cp) = 0.5 g/dL were prepared in MeOH, and the proper determinations were carried out at 30 • C. Particularly, the determinations consisted of measuring the outflow time of a fixed volume of the solvent (t 0 ) and the outflow time of the same volume of polymers solutions (t) inserted in the micro viscosimeter, and the value of the relative viscosity was calculated using Equation (2).
The determinations of times were made in triplicate and the results were expressed as the mean of three independent determinations ± standard deviation (SD).

Determination of NH 2 Equivalents Contained in CP1 and OP2
The NH 2 content of CP1 and OP2, in the form of hydrochloride, was obtained by volumetric titrations with a solution of HClO 4 in acetic acid (AcOH), using quinaldine red as an indicator. The titrating solution was prepared and standardized with potassium acid phthalate by a slightly modified procedure previously reported [21]. The title of the solution was found to be 0.1612 N. The equivalents of NH 2 contained in CP1 and OP2 were determined by exactly weighting the samples of CP1 (24.2 mg) or OP2 (31.4 mg) with a microbalance dissolving them in AcOH (5 mL), treating the obtained solutions with 2 mL of mercury acetate (1.5 g) in AcOH (25 mL), adding few drops of a solution of quinaldine red (100 mg) in AcOH (25 mL) and titrating with the standardized solution of HClO 4 in AcOH, using a calibrated burette with needle valve. Very sharp end points were detected by observing the disappearance of the red color. Standardizations and titrations were made in triplicate, and the results were reported as means of three independent experiments ± SD and were expressed both as µequiv. NH 2 /µmol and mequiv. NH 2 /g.

Dynamic Light Scattering (DLS) Analysis
The particle size (in nm), polydispersity index (PDI), and zeta potential (ζ-p) (mV) of CP1 and OP2 were measured at 25 • C, at a scattering angle of 90 • in m-Q water by using a Malvern Nano ZS90 light scattering apparatus (Malvern Instruments Ltd., Worcestershire, UK).
Solutions of samples in m-Q water were diluted to final concentrations to have 250-600 kcps. The Z-p value of CP1 and OP2 was recorded with the same apparatus. The results from these experiments were presented as the mean of three independent Nanomaterials 2022, 12, 2743 7 of 24 determinations, made of ten runs, each one ± SD. Concerning the particle size distribution, intensity-based results were reported.

Scanning Electron Microscopy (SEM)
The sample was fixed on aluminum pin stubs and sputter-coated with a gold layer of 30 mA for 1 min to improve the conductivity, and an accelerating voltage of 20 kV was used for the sample's examination. The micrographs were recorded digitally using a DISS 5 digital image acquisition system (Point Electronic GmbH, Halle, Germany).  [21]. Titrations were made in triplicate, and the measurements were reported as mean ± SD.

Microorganisms
A total of 28 strains of different species of Gram-positive and Gram-negative bacteria were utilized in this study to assess the antibacterial effects of CP1 and OP2. All were clinical isolates from human specimens and were identified by matrix-assisted laser desorption/ionization time-of-flight (MALDI-TOF) mass spectrometric technique (Biomerieux, Firenze, Italy) or by VITEK ® 2 (Biomerieux, Firenze, Italy). Of the tested pathogens, 12 were Gram-positive organisms. Particularly, 6 strains belonged to the Enterococcus genus (3 Enterococcus faecalis resistant to vancomycin (VRE), and 3 E. faecium VRE, of which one was resistant also to teicoplanin). Six strains pertained to the Staphylococcus genus, including 3 methicillin-resistant S. auresus (MRSA) and three methicillin-resistant S. epidermidis (MRSE), two of which were also resistant to linezolid Concerning the 16 Gram-negative isolates, 9 strains were Enterobacteriaceae: 3 Escherichia coli (two producing carbapanemases of the KPC family and one those of NDM family), 3 Klebsiella aerogenes (2 not β-lactamases producing carbapenems-resistant isolates and 1 producing carbapenemases of KPC family), and 3 group A carbapenemase-producing K. pneumoniae. The last seven Gram-negative isolates were MDR bacteria of non-fermenting species, including 3 Pseudomonas aeruginosa (one strain was isolated from patients with cystic fibrosis, one was a colistin-resistant isolate, and one was a pyomelanin-producing strain), 2 Acinetobacter baumannii, and 2 Stenotrophomonas maltophylia.

Determination of the Minimal Inhibitory Concentrations (MICs)
The antibacterial effects of CP1 and OP2 on the 28 pathogens previously described were assessed by determining their Minimal Inhibitory Concentrations (MICs) following the microdilution procedures detailed by the European Committee on Antimicrobial Susceptibility Testing (EUCAST) [22].
Briefly, as also described in our previous works [23], overnight cultures of bacteria were diluted to obtain a standardized inoculum of 1.5 × 10 8 CFU/mL. Appropriate aliquots of each suspension were added to 96-well microplates containing the same volumes of serial 2-fold dilutions (ranging from 128 to 1 µg/mL) of the cationic polymers (CP1 or OP2) to achieve a final concentration of about 5 × 10 5 cells/mL. The plates were incubated at 37 • C for 24 h, and then the MICs were read, observing where in the 96-well microplates the bacteria growth was inhibited. Particularly, the concentration of the first well in the series of wells at decreasing concentrations of the samples, where no bacterial growth was observed, was recorded as the MIC. DMSO not containing the tested substances was used as a control to verify the absence of antibacterial activity of the solvent used for the experiments. All MICs were obtained at least in triplicate, and the results were expressed by reporting the modal value, that is, the value that has been observed most frequently. In case of equivocal or unclear results, more than three determinations of MICs were carried out.

Determination of Minimal Bactericidal Concentrations (MBCs)
The MBC has been defined as the lowest concentration of a drug that results in killing 99.9% of the bacteria being tested [24].
The MBCs of CP1 and OP2 on the 28 pathogens were determined by subculturing the broths used for MIC determination. Briefly, 10 µL of the culture broths of the wells corresponding to the MIC and to higher MIC concentrations were plated onto fresh MH agar plates and further incubated at 37 • C overnight. The highest dilution that yielded no bacterial growth on the agar plates was taken as MBC. All of the tests were performed at least in triplicate, and the results were expressed as the mode.

Time-Kill Experiments
Killing curve assays for CP1 and OP2 were performed on various MDR isolates of S. aureus, E. coli, and P. aeruginosa, as previously reported [25]. The experiments were performed over 24 h at concentrations 4 times the MICs and repeated until reproducibly was achieved, and the curves shown were those whose trend has been observed most frequently.

Synthesis and Spectrophotometric Characterization of Monomers M1 and M2
The Design of M1 and M2 Structure With the aim of creating new nanosized cationic macromolecules with antibacterial activity and inspired by the excellent biological results that we have previously obtained with two polystyrene-based copolymers, P5 and P7 [9,10,15], we decided to synthetize the styrene monomers M1 and M2. Among the previously reported potent antibacterial agents P5 and P7, P7 having cationic benzyl ammonium groups in place of the butyl ammonium ones of P5 was the most active, but the synthesis of the monomer necessary to prepare P7 is very complex and long. So, to obtain polymers with cationic groups similar to those of P7 but obtainable from easier-to-prepare monomers, we shortened the alkyl chain of four carbon atoms present in the monomer that provided P5. To this end, we thought to prepare benzyl ammonium and ethyl ammonium styrene derivatives. Monomers M1 and M2 were synthesized according to Scheme 1 [26]. The starting material, compound 1a, was purchased as described in Section 2.1, while compound 1b was prepared by a described route, starting with the acylation of 2-bromoethylbenzene, to yield the acetyl derivative, whose carbonyl group was reduced to a hydroxyl group (OH) using NaBH 4 . Upon the elimination of the OH group by distillation at 200 • C, the vinyl group and, therefore, compound 1b were obtained [16]. The reaction of 1a or 1b with potassium phthalimide in DMF at 55 • C provided the Gabriel adducts 2a and 2b, which were purified and characterized before submission to hydrazinolysis. After hydrazinolysis, by treating the Gabriel adducts with hydrazine in EtOH at 95 • C, under heating, the obtained amino-methyl-styrene 3a was purified by distillation under a vacuum and completely characterized before transformation into the corresponding hydrochloride salt (4a), renamed monomer M1. Differently, the free amine 3b was promptly transformed into the corresponding hydrochloride salt (4b), renamed monomer M2, for better purification and easy storage. The ATR-FTIR spectrum of both monomers (M1 and M2) showed the typical vinyl double bond bands at 905 and 990 cm −1 (M1) and at 912 and 994 cm −1 (M2) (Figure 2a,b, respectively). Weak bands at 2830 and 2952 cm −1 (CH stretching of methylene group) and at 3006 and 3086 cm −1 (CH stretching phenyl ring) were observed to come out from the typical large band of the hydrochloride in the spectrum of M1, where a weak but sharp band related to the free N-H stretching vibration, was detected at 3274 cm −1 (Figure 2a). Additionally, aromatic C=C stretching bands were visible in the spectrum of M1 at 1590 and 1455 cm −1 (Figure 2a).
Such bands were also observable in the spectrum of M2 at 1470 and 1600 cm −1 , where bands belonging to the CH stretching of methylene groups were detected at 2887 and 2972 cm −1 , while in the region 3200-2500 cm −1 was detected, the broad but intense band of bound NH stretching vibration (Figure 2b). In both spectra, aromatic overtones were observable in the region 1700-2000 cm −1 (Figure 2a,b). The 1 H NMR spectrum of M1 showed a singlet signal at 4.11 ppm (-CH 2 -) (Figure 3a), while that of M2 revealed two very close multiplets at 2.92-3.03 and at 3.12-3.23 ppm (CH 2 -CH 2 ) (Figure 3b). The protons of the NH 3 + groups were not detected, as these undergo exchange in the working solvent. The vinyl system provided the typical signal consisting of two double doublets, whose integrals denoted one proton for doublet, associated with a quartet (1 H) in the range 5.20-6.80 for both monomers (Figure 3a,b). The p-di-substituted aromatic systems provided a multiplet centered at 7.27 ppm, whose integral denoted four protons (Figure 3a,b). The starting material, compound 1a, was purchased as described in Section 2.1, while compound 1b was prepared by a described route, starting with the acylation of 2-bromoethylbenzene, to yield the acetyl derivative, whose carbonyl group was reduced to a hydroxyl group (OH) using NaBH4. Upon the elimination of the OH group by distillation at 200 °C, the vinyl group and, therefore, compound 1b were obtained [16]. The reaction of 1a or 1b with potassium phthalimide in DMF at 55 °C provided the Gabriel adducts 2a and 2b, which were purified and characterized before submission to hydrazinolysis. After hydrazinolysis, by treating the Gabriel adducts with hydrazine in EtOH at 95°C, under heating, the obtained amino-methyl-styrene 3a was purified by distillation under a vacuum and completely characterized before transformation into the corresponding hydrochloride salt (4a), renamed monomer M1. Differently, the free amine 3b was promptly transformed into the corresponding hydrochloride salt (4b), renamed monomer M2, for better purification and easy storage. The ATR-FTIR spectrum of both monomers (M1 and M2) showed the typical vinyl double bond bands at 905 and 990 cm −1 (M1) and at 912 and 994 cm −1 (M2) (Figure 2a,b, respectively). Weak bands at 2830 and 2952 cm −1 (CH stretching of methylene group) and at 3006 and 3086 cm −1 (CH stretching phenyl ring) were observed to come out from the typical (a) Such bands were also observable in the spectrum of M2 at 1470 and 1600 cm −1 , where bands belonging to the CH stretching of methylene groups were detected at 2887 and 2972 cm −1 , while in the region 3200-2500 cm −1 was detected, the broad but intense band of bound NH stretching vibration (Figure 2b). In both spectra, aromatic overtones were observable in the region 1700-2000 cm −1 (Figure 2a,b). The 1 H NMR spectrum of M1 showed a singlet signal at 4.11 ppm (-CH2-) (Figure 3a), while that of M2 revealed two very close multiplets at 2.92-3.03 and at 3.12-3.23 ppm (CH2-CH2) (Figure 3b). The protons of the NH3 + groups were not detected, as these undergo exchange in the working solvent. The vinyl system provided the typical signal consisting of two double doublets, whose integrals denoted one proton for doublet, associated with a quartet (1 H) in the range 5.20-6.80 for both monomers (Figure 3a,b). The p-di-substituted aromatic systems provided a multiplet centered at 7.27 ppm, whose integral denoted four protons (Figure 3a   The 13 C NMR spectrum of M1 presented seven signals, plus the multiplet signal close to 50 ppm, belonging to CD 3 OD used as a solvent for acquiring the spectrum. Particularly, one signal for the carbons of the methylene (44.09 ppm). Two signals for the vinyl system (115.36 and 137.37 ppm), two intense signals related to the four aromatic carbon atoms (127.91 and 130.35 ppm), and two signals of low intensity relating to quaternary aromatic carbons (133.80 and 139.93) were also detectable (Figure 4a). The 13 C NMR spectrum of M2 presented instead eight signals, six of them very similar to those of M1, for the vinyl system, the four aromatic carbon atoms, and the two quaternary aromatic carbons. Two signals in place of one were detectable for the two methylene groups and were observed at 34.22 and 41.89 ppm (Figure 4b). As expected, due to the presence of the same chromophore in both M1 and M2, the UV-Vis spectra of the two monomers acquired in MeOH were practically identical, and maxima of absorbance at λ max = 252 nm and 250 nm were observed for M1 and M2, respectively ( Figure 5).

Radical Polymerizations in Solution
Cationic polymers are macromolecular architectures extensively studied as antimicrobial agents because, as they are similar to natural and synthetic antimicrobial peptides (NAMPs and SAMPs), they act by interacting with the negative surface of bacteria, damaging their membranes, and causing their rapid death [3].
Additionally, random or block copolymers can be easily synthesized, merging uncharged comonomers with cationic monomers, thus obtaining macromolecules having charged and not charged moieties along the polymer backbone [8]. In this way, the amphiphilic character and hydrophobic content are coupled and strongly correlate with antimicrobial activity and the selectivity of macromolecules [8]. In this context, the CNPs (P5 and P7) obtained by us copolymerizing styrene-based monomers in the form of ammonium salts (M5 and M7) with DMAA have shown powerful ultra-broad-spectrum bactericidal effects against several species of MDR pathogens, P7 being even more potent than P5 [9,10]. Here, once the structures of the new M1 and M2 monomers were designed, following the previously explained reasons, and after successfully synthetizing and characterizing them, preliminary radical polymerization experiments were carried out. Such investigations showed that, while M1 copolymerized easily with DMAA, providing CNPs in high conversion yield, M2 did not, yielding materials with non-nanosized dimensions with unwanted physicochemical properties and with a very low conversion yield (19%). Therefore, in the present work, to structurally optimize the obtainable CNPs, M1 was copolymerized with DMAA in MeOH using AIBN as a radical initiator at 60 • C, achieving the random copolymer CP1 with a conversion of 78% (Scheme 2a). On the contrary, M2 gave good results when homopolymerized in an aqueous medium (H 2 O/MeOH) at a lower temperature (35 • C) and using ammonium persulfate as an initiator (Scheme 2b), affording homopolymer OP2, with a conversion of 72%. The experimental data of the polymerizations have been reported in Table 1. CP1 and OP2 were purified by repeated cycles of dissolution/precipitation using MeOH as solvent and Et 2 O as non-solvent (CP1), H 2 O/MeOH 1/1 as a solvent, and acetone as a non-solvent (OP2).

Spectroscopic Characterization of CP1 and OP2
In the ATR-FTIR spectra of CP1 (Figure 6a), broad bands, typical of copolymers made of long polymer chains and having high molecular weight, were observable. Particularly, a very broad band in the range of 3500-3000 cm −1 due to the NH 3 + groups deriving from M1 was visible, a very weak band belonging to the methylene groups was detectable, while the contribution of DMAA was confirmed by the intense band at 1607 cm −1 .
In the ATR-FTIR spectra of CP1 (Figure 6a), broad bands, typical of copolymers made of long polymer chains and having high molecular weight, were observable. Particularly, a very broad band in the range of 3500-3000 cm −1 due to the NH3 + groups deriving from M1 was visible, a very weak band belonging to the methylene groups was detectable, while the contribution of DMAA was confirmed by the intense band at 1607 cm −1 . In the ATR-FTIR spectra of OP2 (Figure 6b), sharper bands were observable, indicating the presence of shorter polymer chains as also evidenced by its lower viscosity and Mr respect to CP1. Particularly, in the range of 3500-3000 cm −1 , a band similar to that observable in Figure 4a, due to the NH3 + groups, was visible, while intense bands at 2974 and 2890 cm −1 indicated that the methylene groups were detected. Overtones in the range of In the ATR-FTIR spectra of OP2 (Figure 6b), sharper bands were observable, indicating the presence of shorter polymer chains as also evidenced by its lower viscosity and Mr respect to CP1. Particularly, in the range of 3500-3000 cm −1 , a band similar to that observable in Figure 4a, due to the NH 3 + groups, was visible, while intense bands at 2974 and 2890 cm −1 indicated that the methylene groups were detected. Overtones in the range of 2000-1700 cm −1 confirmed the presence of phenyl rings, while the contribution of DMAA was absent, as expected. OP2 was well soluble in water, MeOH, DMSO, and DMF while insoluble in all other organic solvents, including petroleum ether, diethyl ether, dichloromethane, chloroform, and acetone. Interestingly, CP1, at opportune concentrations, swelled in certain solvents, including DMSO and water, providing interesting hydrogels, without the addition of any additive, thinkable as future self-forming formulations for topical administration of CP1.

Determination of the Relative Molecular Mass (Mr) of CP1 and OP2
The Mr di CP1 and OP2 were determined by using the Mark-Houwink Equation (1) reported in Section 2.7, which describes the dependence of the intrinsic viscosity [η] of a polymer on its relative molecular mass (molecular weight, Mr). K and a in the equation are constants whose values depend on the nature of the polymer and solvent, as well as on the temperature used for the determination of the value of [η] for the polymer under consideration [18]. Such constants have been measured and tabulated for several combinations of polymers, copolymers, solvents, and temperatures [19]. In this regard, to estimate the Mr of CP1 and OP2, which are both styrene-based, cationic, and hydrophilic macromolecules, and whose [η] were determined in a hydrophilic solvent (MeOH) at 30 • C, we retained compatible to use the tabulated values of a and k previously measured for a similar polymer (poly-2-vynilpyridine) in a hydrophilic solvent (water) at the same temperature (30 • C). Once we selected the values of a and k to calculate the Mr of CP1 and OP2, we determined their [η]. To this end, the relative viscosity of CP1 and OP2 (η rel ) was first determined at 30 • C by using a Ubbelhode micro viscosimeter and solutions of polymers in MeOH at Cp = 0.5 g/dL as detailed in Section 2.7.1. Secondly, the values of [η] have been computed for both CP1 and OP2 from the values of η rel using consecutively the Equations (3) and (4) [20] (Section 2.7.1). Table 2 summarizes the values of η rel measured for CP1 and OP2, the related η sp and [η], the used values of a and K, and the resulting Mr obtained by the Mark-Houwink Equation (1).

Determinations of NH 2 Content of CP1 and OP2
To determine the NH 2 content of CP1 and OP2 and have evidence of their charge density, we carried out the titration of amine hydrochlorides with HClO 4 solution in acetic acid (AcOH) in the presence of mercuric acetate and quinaldine red as an indicator, as previously reported [21]. The method is cheap and fast, and its accuracy has been secured by a sharp endpoint of the titration, while its reliability has been demonstrated by the reproducibility of the results (Table 3).

Particle Size, ζ-p and PDI of CP1 and OP2
The hydrodynamic size (diameter) (Z-AVE, nm) and polydispersity index (PDI) of CP1 and OP2 NPs were determined by DLS analysis to assess the dimensions of particles and how much their dimensions are uniform. Additionally, ζ-p measurements were carried out to determine their surface charge. Figure 7 shows the representative particles size (Figure 7a,b) and ζ-p distributions (Figure 7c,d) of CP1 and OP2, respectively, while in Table 4, we have reported the average size (Z-AVE, nm) and the mean value of PDI ± SD, which correspond to the mean of three measurements made of ten runs each one. Additionally, Table 4 also contains the mean ± SD of the values of ζ-p obtained by one measurement made of 12 runs. Particularly, in Figure 7a, the three size distributions obtained by the three measurements carried out on CP1 have been reported overlapped, while the legend only refers to one of the three size distributions, which contributed to the Z-ave reported in Table 4 for CP1.  Table 4. Results obtained from DLS analyses on CP1 and OP2 NPs: particle size (Z-ave, nm), PDI and ζ-p.
The mean particle size was very high for CP1 NPs (833 nm) and significantly lower for OP2 (163 nm), while the PDI values were similar. These results are in accordance with the literature data, reporting that the molecular weight of polymers increases at the growth of particle diameter and vice versa [27]. So, it was expectable that CP1, whose Mr has been estimated to be around 157,000, would have proved an average particle size remarkably higher than that of OP2, having an Mr of around 45,000. We remember that, in the case of an administration of nano-formulations, the size of NPs strongly influences its distribution, cytotoxicity, targeting ability [28,29], and biomedical applications require sizes lower than 200 nm, with an optimal of 100-200 nm [29]. Hence, due to the small dimension of its particles, OP2, which has also been demonstrated to be highly water soluble, could be considered suitable for systemic administration since NPs with a size of about 100 nm, as that determined for OP2, have a larger surface-area-to-volume ratio and are more effective and faster. On the contrary, the large dimension of particles of CP1 causes it to be unsuitable for systemic administration since, as widely reported, particles larger than 200 nm tend to activate the lymphatic system and are removed from circulation quicker [30]. Anyway, we did not consider this a limitation for the biomedical application of CP1 developed by us, since due to its capability to self-forming gels, it may be formulated as an antibacterial hydrogel for topical administration to treat skin and soft tissues infections sustained by MDR pathogens. Although slightly lower than the value of ζ-p determined for the copolymer P5 previously reported by us [9], as expected considering data obtained by volumetric titrations, concerning the content of ammonium groups, both CP1 and OP2 proved high positive ζ-p values (+31 and +27 mV, respectively), which are welcome for the development of highly effective nano-formulations. In fact, based on the studies published so far, the internalization of CNPs, such as those developed in this study, is more efficient than that of neutral and anionic NPs [31][32][33][34][35][36]. Notably, it was found that after electrostatic interaction with anionic components of cells membrane as phospholipids, CNPs can be internalized by several mechanisms, including pore formation, micropinocytosis, as well as clathrin-and dynamin-dependent endocytosis [36].
Finally, the PDI values of CP1 and OP2 were sufficiently low, thus indicating high stability of the water solutions of OP2 and of hydrogels preparable with CP1.

Scanning Electron Microscopy (SEM)
To confirm the hydrodynamic size and PDI values obtained by the DLS analyses and have an idea of the morphology of the particles herein prepared, SEM analyses were carried out on the lyophilized CP1, as a representative example of both polymers. An SEM micrograph of CP1 is shown in Figure 8. The SEM image of lyophilized cationic CP1 revealed a spherical morphology, a narrow polydispersity, and particles with diameters slightly under a micron, thus confirming the DLS data.

Potentiometric Titration of CP1 and OP2 NPs
Both CP1 and OP2 have neither quaternary nor permanently protonated ammonium groups but possess reversibly protonable primary amine groups, whose protonation depends on the pH value of the environment. Due to the most recognized mechanism of action of antibacterial NAMP, SAMP, as well as dendrimers and polymers possessing ammine groups, protonation is essential for having a positively charged surface, which is crucial for interacting with the surface of bacteria and for providing significant membrane disrupting effects [1,3]. Therefore, to speculate on a future formulation of CP1 and OP2 as antibacterial hydrogels for topical administration, we thought it crucial to know the pH values at which they can be protonated and, mainly, if they would be protonated at the pH of the skin (pH < 5). To obtain this information, potentiometric titrations of CP1 and OP2 were carried out as previously described [37]. The titration curves were obtained by graphing the measured pH values vs. the aliquots of HCl 0.1 N added (Figure 9a). Subsequently, from the titration data, the dpH/dV values were computed and reported in the graph vs. those of the corresponding volumes of HCl 0.1N, thus obtaining the first derivative lines of the titration curves (Figure 9b). Additionally, the potentiometric titrations of CP1 and OP2 allowed to titrate the NH 2 groups of both polymers and so to further determine the NH 2 content in CP1 and OP2 NPs already estimated by volumetric titration (Section 3.4, Table 3). As observable in Figure 9a, the titration curves of both CP1 and OP2 were very similar, showing a very high buffer capacity up to the adding of 6-7 mL HCl 0.1 N, while the so-called jump in pH (titration point) was visible for both polymers when a volume of 0.1 N HCl of 7.8 and 8 mL respectively was added. Particularly, by determining the first derivatives of the titration curves, whose maxima represent the titration end points (or the various phases of the protonation process), we observed that, although partial protonation started at pH values of 7-9, both polymers were completely protonated at pH values of about 3.5 (Figure 9b). These results established that both CP1 and OP2 at the pH of skin should be sufficiently protonated, as desired, thus favoring electrostatic interactions with the negatively charged surface of bacteria and boosting up their antibacterial effects. Interestingly, as evidenced by the following results concerning the antibacterial and bactericidal effects of CP1 and OP2, both types of CNPs resulted in being very potent against all Grampositive bacteria and almost all the Gram-negative isolates herein considered when in MH media. Concerning this, since the pH of MH is about 7, a value that allows only a partial protonation of the polymers, as shown in Figure 9b, it can be speculated that the already potent antibacterial effects observed in vitro for CP1 and OP2 are only an underestimation of those that they could exert in vivo at the pH of the skin that permits a higher degree of protonation. Table 5 collect the results concerning the content of the NH 2 group in CP1 and OP2, which confirmed the values obtained by volumetric titrations previously reported, with a minimal error of 1.3% and 0.3%, respectively. The MIC values for CP1 and OP2 were obtained by analyzing a total of 28 strains of clinical and multi-resistant origin, including both Gram-positive and Gram-negative species responsible for difficult-to treat-infections [38]. Even if the values of MIC > 128 µg/mL corresponded to very low µM concentrations of both CP1 and OP2 when the bacteria were not inhibited at 128 µg/mL, higher concentrations were not considered, and the MICs were expressed as greater than 128 µg/mL. In this regard, CP1 displayed MICs > 128 µg/mL only against Gram-negative bacteria in five cases out of 28 (one KPC-producing E. coli, one KPCproducing K. pneumoniae, one A. baumanni, and two S. maltophilia), the highest MICs of OP2 corresponded to 64 µg/mL. However, since traditional antibiotics and CP1 and OP2 themselves are characterized by very different molecular weights, to compare their antibacterial activity, we evaluated more correctly to consider the MIC values expressed as micromolar concentrations (µM). Indeed, the µM concentrations provide how many equivalents (which are comparable magnitudes) of the tested substance are necessary to achieve inhibition on a specific isolate. Overall, both compounds provided remarkably interesting results, both against Gram-positive and Gram-negative species (0.1-2.8 µM). CP1 was found to be the compound that, in some cases, showed the lowest MICs (0.1-0.8 µM). Both CP1 and OP2 were particularly effective against all the MRSE isolates, especially against the two strains also resistant to linezolid . The lowest MIC for the genus Pseudomonas was observed against a strain producer of pyomelanin, confirming the high susceptibility of isolates with this negatively charged pigment to cationic macromolecules, already reported by us [25]. Interestingly, while less potent than CP1 against staphylococci, enterococci, and all the Enterobacteriaceae except for K. aerogenes 500 (MICs = 1.4 µM vs. MICs 0.4-0.8 µM), with the exclusion of the strain of P. aeruginosa resistant to colistin (MICs = 1.4 µM), OP2 was more potent than CP1 against all non-fermenting Gram-negative isolates considered in this study, proving good activity (MICs = 0.7 µM) just against strains on which CP1 was only weakly active (A. baumannii and S. maltophilia). In this regard, it could be thought to merge CP1 and OP2 in a single dosage form to obtain a new antibacterial formulation more powerful than the separate molecules and with a wider spectrum of activity. To this end, since we have observed that CP1, at adequate concentrations, produces hydrogels, it can be used as a gelling agent to formulate OP2. The exploration of such a possibility could be the subject of our future studies. Overall, the results reported here on the antibacterial activity of CP1 (MIC = 0.1-0.8 µM) and OP2 (MIC = 0.35-2.8 µM) evidenced that both polymers were remarkably more potent than P5 previously reported by us [9], which differs from CP1 and OP2 for the length of the carbon spacer between the phenyl ring and the ammonium group, responsible for the antibacterial effects. Practically, this study demonstrated that the reduction in the number of methylene groups of the alkyl chain used as a spacer and the consequent approach of the NH 3 + group to the aromatic ring in the active monomers used to prepare CP1 and OP2, translate sinto the enhancement of their antibacterial properties. We can think that with these modifications, we have obtained NPs whose structures, compared to P5, can interact electrostatically better with the bacterial surface, which is an essential step for the effectiveness of cationic antimicrobial compounds since they act as membrane disruptors.
In the fourth column of Table 6, we have reported the MICs of the antibiotics commonly used against Gram-positive and Gram-negative strains tested in this study to compare their antibacterial effects with those of CP1 and OP2. Considering the MICs expressed in micromolar concentrations (µM), for the reasons above reported, data in bold in Table 6 established that, at least in vitro, the CP1 and OP2 NPs developed by us are remarkably more efficient than antibiotics that are no longer effective on the bacteria considered here.

Time-Killing Curves
To evaluate the possible bactericidal effects of CP1 and OP2, MBCs were determined on all strains reported in Table 6, obtaining the values of concentrations at max 2-fold the MICs (not reported results), thus establishing a possible bactericidal activity for both samples. Therefore, to evaluate the possible bactericidal activity of CP1 and OP2, timekill experiments were performed with two NPs at concentrations equal to 4 × MIC on different strains of P. aeruginosa, E. coli, and S. aureus. As depicted in Figure 10, showing the most representative curves obtained for each species, CP1 possessed an extremely strong bactericidal effect against all the pathogens tested, regardless of their resistance pattern, since a rapid decrease of >4 logs in the original cell number was evident already after 2 h of exposure for an MRSA, for an MDR strain of P. aeruginosa isolated from a patient with cystic fibrosis and for a colistin-resistant P. aeruginosa. The same massive reduction in the initial inoculum was also observed after 3 h against an NDMs-producing E. coli and was maintained after incubations of 24 h (Figure 10a). Even more rapid were the bactericidal effects of OP2 against all of the isolates tested and especially on S. aureus, since a decrease of ≥4 logs in the original cell number was evident already after 1 h of exposure. No regrowth was noted after 24 h of incubation also with OP2 for all the three species tested (Figure 10b). Interestingly, this behavior is different from that already observed for cationic bactericidal peptides, such as colistin [39], some dendrimers [6,40], and polymers, which prove the ability to kill bacteria very rapidly, simply on contact, respectively, after an exposure of 5 min [39], 1 h [40], and 1-4 h [6,41]) but for which a regrowth was then observed after 24 h. In contrast, the bactericidal behavior observed here for CP1 and OP2, devoid of regrowth at 24 h, is similar to that of the P5 copolymer (with longer linkers bearing the ammonium groups), the styrene P7 copolymer (with benzyl ammonium groups), and pyrazoles-containing NPs recently reported by us [9,10,23].

Conclusions and Future Perspectives
In this study, by means of rational structural modifications on two styrene-based monomers (M5 and M7), which provided cationic copolymers with potent broad-spectrum bactericidal properties, we designed and synthetized two new monomers 4-AMSTY (M1) and 4-AESTY (M2) that differ each other in the length of the carbon chain linking the primary positively charged ammonium group and the styrene ring. Upon a complete physicochemical characterization and preliminary tests of radical polymerization in solution, to have optimized cationic macromolecules, we copolymerized M1 with DMAA and omo-polymerized M2 in proper conditions obtaining new CNPs, containing 4-AMSTY (CP1) and 4-AESTY (OP2) hydrochloride moieties, respectively, which differs a lot in term of particle size, intrinsic viscosity, and molecular weight. Such differences greatly influenced the behavior of the two polymers in a water solution, providing very interesting outcomes for their future formulation and possible topical administration as therapeutics to treat skin infections. On the contrary, despite their structural and physicochemical differences, the antibacterial and bactericidal properties of CP1 and OP2, assessed by determining their MICs and by performing time-killing experiments, were comparable. The lowest values of MIC observed against the main families of tested Gram-positive and Gram-negative species have been summarized in Figure 11. According to what was displayed graphically, CP1 was extremely potent against S. epidermidis (MICs = 0.1 µM), remarkably and equally potent on enterococci, staphylococci Enterobacteriaceae and P. aeruginosa (MICs = 0.4 µM), while less potent against A. baumannii (MICs = 0.8 µM), and weakly active towards S. malthophilia (MICs > 0.8 µM). On the contrary, just against these latter species, weakly inhibited by CP1, OP2 was very well performant, proving very low MICs (0.7 µM). However, on other species, OP2 was only slightly less potent than CP1, displaying MICs in the range of 0.35-1.4 µM. Figure 12 shows instead the differences in the values of Log 10 (CFU/mL), observed against an NDM-producing E. coli, a colistin-resistant isolate of P. aeruginosa, one P. aeruginosa strain isolated from a patient with cystic fibrosis and against an MRSA isolate, in the absence and in the presence of CP1 and OP2. According to the graph, both samples are highly bactericidal, being able to reduce even more than 99.9% of the colonies of all the species tested. Dose-dependent cytotoxicity experiments on normal human fibroblast are undergoing to assess the feasibility of a possible clinical administration of both CP1 and OP2 as bactericidal NPs for topical administration to treat skin infections. The early results from such experiments evidenced LD 50 values from which values of selectivity indices from good to very high (1.3-10.6 for CP1 and 1.4-5.7 for OP2) can be calculated. On these promising data, based on the structural properties of CP1, which has been shown to self-form hydrogels when dispersed in water without any additive, it could be formulated as a bactericidal gel for topical treatment of skin and soft tissues infections sustained by MDR pathogens. Additionally, we are seriously thinking of using CP1 as a gelling agent to formulate OP2 as a hydrogel and simultaneously extend the spectrum of action of both CP1 and OP2.