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Sequential optimization of methotrexate encapsulation in micellar nano-networks of polyethyleneimine ionomer containing redox-sensitive cross-links

A functional polycation nanonetwork was developed for delivery of water soluble chemotherapeutic agents. The complexes of polyethyleneimine grafted methoxy polyethylene glycol (PEI-g-mPEG) and Zn2+ were utilized as the micellar template for cross-linking with dithiodipropionic acid, followed by an acidic pH dialysis to remove the metal ion from the micellar template. The synthesis method was optimized according to pH, the molar ratio of Zn2+, and the cross-link ratio. The atomic force microscopy showed soft, discrete, and uniform nano-networks. They were sensitive to the simulated reductive environment as determined by Ellman’s assay. They showed few positive ζ potential and an average hydrodynamic diameter of 162±10 nm, which decreased to 49±11 nm upon dehydration. The ionic character of the nano-networks allowed the achievement of a higher-loading capacity of methotrexate (MTX), approximately 57% weight per weight, depending on the cross-link and the drug feed ratios. The nano-networks actively loaded with MTX presented some suitable properties, such as the hydrodynamic size of 117±16 nm, polydispersity index of 0.22, and a prolonged swelling-controlled release profile over 24 hours that boosted following reductive activation of the nanonetwork biodegradation. Unlike the PEI ionomer, the nano-networks provided an acceptable cytotoxicity profile. The drug-loaded nano-networks exhibited more specific cytotoxicity against human hepatocellular carcinoma cells if compared to free MTX at concentrations above 1 μM. The enhanced antitumor activity in vitro might be attributed to endocytic entry of MTX-loaded nano-networks that was found in the epifluorescence microscopy experiment for the fluorophore-labeled nano-networks.


Introduction
Self-assembled polymeric nanoparticles based on amphiphilic copolymers represent a relatively new class of nanostructures built on the bottom-up technological approach that has attracted considerable attention as a potential delivery vehicle, especially for poorly soluble drugs. 1 Bottom-up techniques simply arrange building blocks into desirable nanostructures, usually spontaneously, through self-assembly. 2 Their benefits include particle sizes in the range of 10-200 nm, with a fairly narrow size distribution, simplicity of fabrication as a consequence of the bottom-up approach, and superior loading of active pharmaceutical agents. 3 A rather new class of the polymer micelles could be prepared through the formation of lyophobic complexes with the polyelectrolyte segment of an ionomer.
Ionomers are composed of covalently linked polyelectrolyte and nonionic polymers. 4 Depending on the topology of linking, they can be classified as block copolymers, graft copolymers, and nano-networks. They behave as unimers like classical polymers or polyelectrolytes in aqueous solution; whereas, the micellization of these ionomers can be induced by external stimuli, such as temperature, pH, ionic strength, or by the complex formation of a polyelectrolyte segment with oppositely charged molecules, such as synthetic linear polyelectrolytes, 5,6 block ionomers, 7 surfactants, 8,9 proteins, 10,11 deoxyribonucleic acid (DNA), 12,13 or metal ions. 14,15 The poly ion metal complexation of ionomers has been used to induce the formation of polymer micelles, as addressed by different authors. The electrostatic neutralization of carboxylate-based polyanionic segments of polyethylene oxide (PEO)-b-polymethacrylic acid, 16 PEO-bpolyacrylic acid (PAA) 17,18 or pluronic-b-PAA, 9,19 and alkaline earth metal ions, such as Ca 2+ and Ba 2+ , results in spontaneous micellization of the copolymers.
Alternatively, highly stable, metal-based nanoparticles are prepared through the formation of coordination bonds with transition metal ions. Complexes of hydrophilic block ionomers, such as PAA-b-polyhydroxyethyl acrylate, 20 PAA-b-polyacrylamide, 21 or PEO-b-PAA, 22 and Al 3+ , La 3+ , or Cu 2+ lead to the formation of spherical assemblies with core-corona morphology and hydrodynamic diameters in the range of 25-150 nm.
The colloidal stability of ionomer complexes is highly dependent on the environmental parameters, such as pH and ionic strength. 23 The low structural stability of ionomer micelles in biological media could be problematic for their biomedical applications. Thus, there is an interest in the stabilization of ionomer micelles by introducing cross-links between the polymer chains, either within the core domain or throughout the corona layer. Bronich et al 14,19 developed a procedure in which ionomer micelles were initially prepared by the self-assembly of the ionic blocks of PEO-bpolymethacrylic acid (PMA) or pluronic-PAA copolymers with an oppositely charged condensing agent (Ca 2+ ) that was followed by the chemical cross-linking of the ionic blocks in the core by ethylenediamine. Similarly, reversible core-crosslinked micelles were synthesized with cystamine. 15 Branched polyethyleneimine (PEI) is a cationic polyelectrolyte that contains primary, secondary and tertiary amino groups with the average pKa value between 8.5-9. 24 The polymer has a high content of amine nitrogen able to donate electrons and coordinate with transition metal ions. 25,26 This property may be applied for the immobilization of proteins and enzymes, [27][28][29] anchoring metal nanoparticles, 30 or drug delivery. 31,32 Different authors have reported ionomer complex micelles of PEI grafted with methoxypolyethylene glycol (mPEG) and anionic surfactants, 9,33 metal ions (AuCl 3 or PtCl 6 2-), 26,34 oligonucleotides, 35 or plasmid DNA. 36 The covalent attachment of mPEG is commonly used to improve aqueous solubility and to reduce immunogenicity and cytotoxicity of polymeric systems. 37,38 The different copolymers of PEI and mPEG form PEI ionomers with a hydrophilic steric shield, which improves the stability of the PEI complexes and prevents aggregation. 39 The mPEG-grafted PEI has been shown to display decreased interactions with proteins, a reduced activation of the complement system, and an enhanced circulation time in the bloodstream. 40 Moreover, less safety problems are associated with mPEG grafted than unmodified polymers in vitro and in vivo. 41 Methotrexate (MTX) is one of the most widely studied and effective therapeutic agents available to treat many solid tumors, hematologic malignancies, and autoimmune diseases; 42 however, the poor pharmacokinetics, the narrow safety margin, and the impaired cellular uptake of the drug have limited the therapeutic outcomes of conventional delivery systems. Large amounts of the administrated MTX are eliminated by the kidneys within a short period of time, resulting in a short plasma half-life of 5-8 hours and a low drug concentration in target tissues. 43 Increasing the dose of MTX may result in a higher therapeutic efficacy, but it also leads to a higher risk of side effects; 44,45 moreover, MTX resistance appears due to impaired cellular uptake. 46 For an improved MTX delivery, several unique pathophysiological features of the diseases can be used either as targets or as tools for drug delivery, such as angiogenesis, 47,48 enhanced permeability and retention (EPR) effect, 49 acidosis, and the expression of specific antigens and receptors. 50,51 Some delivery systems have been developed to improve the pitfalls of MTX therapy that ranged from polymeric conjugates, such as human serum albumin, liposomes, microspheres, solid lipid nanoparticles, polymeric nanoparticles, dendrimers, polymeric micelles, in situ forming hydrogels, carrier erythrocyte, and nanotechnology-based materials, including carbon nanotubes, magnetic nanoparticles, and gold nanoparticles. They are successful in providing a prolonged and nonfluctuating plasma profile or an enhanced activity in vitro and in vivo; nevertheless, many of them still need different complementary studies to fine-tune the carrier in terms of pharmaceutical properties, as well as safety and efficacy. 52 International Journal of Nanomedicine 2014:9 submit your manuscript | www.dovepress.com Dovepress Dovepress 2835 sequential optimization of methotrexate encapsulation in micellar nano-networks Following our recent study on the synthesis of homogeneous nano-networks via the core cross-linking of the complexes of Zn 2+ and the PEI ionomer and the subsequent removal of Zn 2+ from the micellar template, 53 we aimed to study the application of the developed carrier for the active encapsulation and delivery of MTX in vitro. The effect of different physicochemical and formulation parameters was investigated on colloidal (particle size distribution and morphology) and pharmaceutical (drug-loading and release kinetic) properties of the MTX-loaded nano-networks. It was hypothesized that the cross-linked polyamines core of the nano-networks can encapsulate the negatively charged chemotherapeutic agents, such as MTX, efficiently.
Moreover, the redox-sensitive cross-links can provide the required stability of the nano-networks if they are diluted in the simulated extracellular medium; whereas, the breakdown of the network in the simulated reductive medium can promote the release of the encapsulated MTX. Finally, the cellular internalization of the fluorophore-labeled nanonetwork and the in vitro cellular activity of the MTX-loaded nanonetwork were noticed.

Template-assisted synthesis of nano-networks
The synthesis method includes the following consecutive steps: PEGylation of PEI; formation of the micellar template of Zn 2+ and PEI ionomer; the cross-linking reaction; and the subsequent removal of Zn 2+ from the micellar template ( Figure 1).
The ionomers composed of branched PEI and grafted mPEG-COOH were synthesized by carbodiimide reaction in the presence of triethylamine as a proton quencher, as reported before. 54 Accordingly, the required volumes of the NHS-activated mPEG 2000 −COOH in methanol reacted with 5% weight/volume PEI solution in DCM at different nominal ethylene oxide weight ratios (f ETO ) of 0.1, 0.3, and 0.5. The reaction media were supplemented with 1% triethylamine and the required volumes of methanol to obtain the constant volume ratio of methanol/DCM of 2:1. Then, the vessels were incubated for 3 hours while mixing at 25°C. The products were concentrated using rotational speed-vacuum (RVC 2-18; Martin Christ GmbH, Osterode am Harz, Germany) until a yellowish white wax was obtained. The reconstituted products in deionized water were dialyzed using the Float-A-Lyzer 6-8 kDa (Spectrum Laboratories Inc., Rancho Dominguez, CA, USA), according to the manufacturer's instructions. Then, the product solutions were lyophilized (Alpha 1-2 LD; Martin Christ GmbH). Proton nuclear magnetic resonance ( 1 H-NMR) spectroscopy was performed for the characterization of the PEI ionomer. It showed multiple peaks at 2.3-3.1 ppm attributed to the ethyleneimine proton and the peak of the ethylene glycol proton at 3.6 ppm in deuterium oxide (D 2 O) (data not shown). Relative yields of the reactions were about 86%-100%.
To prepare complexes of Zn 2+ and the PEI ionomers used as a template for the cross-linking reaction, the stock solutions of mPEG-g-branched PEI copolymers (PEI ionomers) were prepared by reconstituting 30 mg of the lyophilized copolymers with the required volumes of deionized water corresponding to the final concentration of 2.3 M total polymer nitrogen. The ZnSO 4 was added at different molar ratios of metal ion to the polymer nitrogen (M 2+ /N=0.1, 0.4, and 0.7) at different 100 mM MES buffer pH (5, 6.5, and 8) and NaCl concentrations (0, 50, 150 mM). The mixtures were vigorously micropipetted several times, incubated at ambient temperature for 30 minutes, and diluted ten times with deionized water. The L 9 -type Taguchi orthogonal array design was adopted to establish the optimum condition for the preparation of the small and uniform ionomer complexes ( Table 1).
The cross-linking reaction was achieved via condensation occurring between the reactive amine groups of the copolymers and the carboxylic functional groups of 100 mM DTDP solution in DMSO using EDC and NHS, at the molar ratio 2:2:1 NHS/EDC/COOH. The degree of cross-linking was controlled by the cross-linking ratio (C), defined as the molar ratio of DTDP to primary amines that were studied in three levels (0.3, 0.6, and 1.2). The reaction mixture was allowed to stir overnight at room temperature. Then, the cross-linked ionomer complexes were dialyzed against the acidic deionized water (pH ,3) using the Float-A-Lyzer (6-8 kDa) to remove the Zn 2+ template and to prepare the nano-networks.

Dynamic light scattering and ζ potential
The intensity-average diameter (Z-average) and polydispersity index (PDI) of the Zn 2+ -templated ionomer dispersions or the nano-networks were measured at the concentration of 1-2 mg/mL, using a Zetasizer 3000 HSA from Malvern Instruments (Malvern Instruments, Malvern, UK) at a fixed scattering angle of 90°, using a helium-neon laser (λ=633 nm). The PDI is a dimensionless measure of the heterogeneity of particle sizes calculated from a cumulants analysis of the measured intensity autocorrelation function. The viscosity and refractive index of pure water at 25°C were used for data analysis. Zeta-potential measurements were performed for 1/10 dilutions of the dispersions in phosphate-buffered saline (pH =7.4), based on the electrophoretic mobility of the particles in a clear, disposable capillary electrophoresis cell. Values were given as the mean of triplicate samples.

remote loading of MTX
The aqueous dispersions of the PEI ionomer (f ETO =0.3, C=0) and the corresponding nano-networks at different cross-link ratios (C=0.3, C=0.6) were simply mixed by pipetting with an aqueous solution of MTX in the deionized water at different ratios of MTX to molar amine moieties of the PEI ionomer (R=0.15, 0.3, and 0.6) at different pH (5, 6, and 7).
The mixtures were incubated for 72 hours at room temperature while shaking at 400 rpm. The unbound MTX was removed by ultrafiltration using Amicon YM-30 centrifugal filter devices (EMD Millipore). The concentration of MTX in filtrates was determined using a Knauer high-performance liquid chromatography (HPLC) system with P1000 pump (Herbert Knauer GmbH, Berlin, Germany) equipped with a multiple wavelength ultraviolet (UV) detector (UV 2600 detector). Separation of MTX was achieved at ambient

2837
sequential optimization of methotrexate encapsulation in micellar nano-networks temperature, using monolithic reversed phase column (Chromolith ® Guard column, RP-18e, 5-4.6 mm; Merck). The mobile phase was composed of 100 mM sodium acetate (pH 4) acetonitrile (volume ratio of 88:12) and was delivered isocratically at a flow rate of 2 mL/minute. The HPLC method was validated in terms of specificity, linearity, accuracy, precision, and limit of quantification for an in vitro assay. Accordingly, the entrapment efficiency (the percentage of MTX entrapped to the total amount added) and the entrapment capacity (percentage of the entrapped MTX to the total amount of loaded system) were calculated.
The effects of the different factors (pH, feeding ratios, and the cross-link ratios) on the loading parameters were investigated by full factorial design in three levels ( Table 2). The factors were analyzed using Design-Expert ® Software version 6.02 (Stat-Ease, Inc., Minneapolis, MN, USA).
The particle sizes and ζ potentials of MTX-loaded nano-networks were determined at different cross-link ratios (0.0, 0.3, and 0.6) and a constant MTX feed ratio of 0.3, according to the section "Remote loading of MTX."

atomic force microscopy
To explore the morphology of the particles, samples were prepared for atomic force microscopy (AFM) imaging by depositing 10 µL of 0.2 mg/mL aqueous dispersion of empty and MTX-loaded nano-networks (R=0.3) at different cross-link ratios (0.3 and 0.6) in comparison with the complexes of the MTX and the PEI ionomer, onto a prewashed glass slide. The AFM imaging was performed in air using a vibration-damped NanoWizard ® II (JPK Instruments AG, Berlin, Germany). Commercial pyramidal tips (MicroMasch Inc., Tartu, Estonia) attached to I-type cantilevers with a length of about 230 µm, a resonance frequency of about 380 kHz, and a nominal force constant of 40 N/m were used. Images were recorded in an intermittent contact mode at a scan speed of approximately 1 Hz to avoid damage of the sample surface. The acquired images had a resolution of 512×512 pixels. The topological characteristics, including projected diameter (d), surface area (A), perimeter (P), and maximum height (Z max ), were measured randomly by the software for at least 300 particles.
Subsequently, the shape factors (circularity and aspect ratio) were calculated according to Equation 1 and Equation 2 to express the morphology of the particles:

In vitro release study
The release of the MTX from the nano-networks prepared at the cross-link ratio of 0.3 was evaluated by the dialysis method at R=0.3 for 24 hours in phosphate buffered saline (PBS; pH 7.4; 0.14 M NaCl) and acetate buffered saline (pH 5.5; 0.14 M NaCl) without or with 1 mM tris(2-carboxyethyl) phosphine (TCEP) as a reducing agent.
Briefly, 4 mL MTX-loaded nano-networks containing 2.5 mg of the PEI ionomer and 1.4 mg of MTX were placed in the Float-A-Lyzer 6-8 kDa dialysis tube. The dialysis was carried out against 400 mL of the release media in a shaking incubator at 37°C and 100 rpm.
At scheduled times, 1 mL of the medium was withdrawn, and the amount of MTX released was estimated by the HPLC method as described in the section "Remote loading of MTX." The cumulative release percentage of MTX was determined at each point and plotted as a function of time. The control experiment was done to study free MTX transport through the dialysis membrane at the simulated media. To find out the mechanism of drug release from the nano-networks, the Korsmeyer-Peppas equation (Equation 3) was best fitted for the first 60% drug release data in comparison to other mathematical equations, including zero order, first order, and the Higuchi models. 55 The release rate (k), the release exponent (n), and the lag time (t 0 ) were determined from the fraction of MTX released (M/M ∞ ) versus time (t) by a nonlinear regression method, using SPSS Statistics version 16.0 (IBM Corporation, Armonk, NY, USA).

redox-sensitive degradation
To study the redox biodegradability of the nano-networks, the thiol content of the cross-linked nanoparticles was determined prior to and after reducing the disulfide bond present in the DTDP molecule, according to the published method. 56 Briefly, 25 µL of the 0.2 M NaBH 4 solution in NaOH 0.2% was added to 45 µL of the sample solutions, which contained 4 mM nitrogen, and incubated for 1 hour at room temperature while shaking at 300 rpm. Then, pH was adjusted to 4 using HCl 1 N and further incubated for 10 minutes to remove the NaBH 4 from the reaction medium. The medium was supplemented with NaOH 1 N to adjust the pH again to 8. The volume reached 90 µL with the addition of (4-(2hydroxyethyl)-1-piperazineethanesulfonic acid) (HEPES) buffer (300 mM; pH 8.0). Then, 10 µL (4 mg/mL) DTNB in the HEPES buffer (50 mM; pH 8.0) was added, and the mixture was incubated for 15 minutes at room temperature. Absorbance values were obtained with a PowerWave HT microplate reader (BioTek, Winooski, VT, USA) at λ=412 nm, and the thiol content was calculated using a standard curve of the reduced glutathione and expressed as mmol/L free thiol.

In vitro cellular studies
The MTT-based cytotoxicity assay was carried out based on the protocol described previously. 57 Accordingly, the HepG2 cells were plated into 96-well microtiter plates (Orange Scientific, Braine-l′Alleud, Belgium) at a density of 25,000 cells/cm 2 . After 24 hours, the cells were treated in serum-supplemented culture medium. First, the assay was performed for the nano-networks at the cross-link ratios of 0.3 and 0.6, in comparison to the PEI ionomer and the branched PEI (M w =10 kDa). In another experiment, the cytotoxicity of MTX was determined in HepG2 cells incubated with the free drug for 24, 48, and 72 hours. Finally, the cytotoxicity of the MTX-loaded nano-networks was compared to the free MTX after 24 hours. Each treatment was similarly prepared by the primary dilution of the stock solutions in phosphate buffered saline (pH 7.4) and the final 10× dilution in RPMI 1640 medium (PAA Laboratories GmbH, Germany) supplemented with 10% fetal bovine serum (Gibco BRL).
Following incubation, the medium was aspirated and replaced by 100 µL of 1/10 diluted MTT stock solution in the culture medium to obtain the final concentration of 0.5 mg/mL. After 3 hours, the medium was aspirated again, and the insoluble formazan crystals were dissolved in 100 µL/well DMSO and measured spectrophotometrically in a microplate reader at λ=570 nm, and corrected for background absorption at λ=650 nm. Cell viability was calculated for blank-corrected data relative to untreated control cells.
To determine cellular uptake potential of the nanonetworks, the cells were grown on Lab-Tek II 4-well chamber slides with covers (Nunc, USA Scientific, Ocala, FL, USA) at a density of 2×10 4 cells per chamber. The cells were treated with 50 µg/mL of nano-networks labeled with fluorescein isothiocyanate (FITC), washed three times with cold PBS, fixed with 3.7% paraformaldehyde solution in PBS at 4°C for 15 minutes, followed by washing with PBS. Cellular internalization of the nanohydrogels was studied by epifluorescence microscope (Nikon Eclipse E400; Nikon Corporation, Tokyo, Japan).

statistics
The statistical analysis was performed by GraphPad Software Inc., version 5.0 (GraphPad Software, Inc., La Jolla, CA, USA). P-values 0.05 were considered statistically significant. Data were expressed as mean ± standard deviation.

Results and discussion
Template-assisted synthesis of nano-networks The preparation method requires a low-energy mixing process, and it does not require the use of any organic solvent. The donor-acceptor complexes of Zn 2+ and the amines of the PEI ionomers can be considered as a special type of copolymer with lyophobic segments formed from the phase separation of the ethyleneimine moieties with Zn 2+ . The water-soluble mPEG segments stabilize the coacervates and prevent the aggregation or the macroscopic phase separation. Similarly, the formation of metal colloids has been shown in aqueous medium by the reduction of the lyophobic complexes of diblock or graft PEO-PEI with Pd 2+ or Pt 2+ at low pH. 25,34 The preparation requires a precise tuning of different physicochemical parameters, such as f ETO , pH, the ionic strength of the solution, and the type and the concentration of the ionic species, inducing the gelation of ionomers. 23,58 Therefore, it was hypothesized that the colloid property of the complexes of PEI ionomers with Zn 2+ depends on some factors such as pH, the molar ratio of Zn 2+ , f ETO , and salt concentration. The factors were considered in the Taguchi orthogonal array design for optimization of the size distribution. The Taguchi method is a fractional factorial design proposed by Genichi Taguchi, a Japanese engineer, to improve the quality of products or processes.
Accordingly, the particle size data (Z-average and PDI) were analyzed statistically by changing the experimental factors simultaneously, according to the designed array in three levels ( Table 1). The data were successfully fitted in individual two-factor interaction models (P,0.0001 and P,0.05, respectively).
If the Z-average was considered as a response variable, pH (P,0.0001), the molar ratio of Zn 2+ (P,0.0001), and their interaction (P approximately 0.001) were determined significant. Figure 2A shows the sizes increased abruptly if the molar ratio of Zn 2+ increased from 0.2, possibly due to an insufficiency of mPEG chains to solubilize the lyophobic PEI-Zn 2+ domains. Similarly, it was shown that the aggregation occurs for the block ionomer of polyacrylic acid at a relatively high concentration of Ba 2+ and Gd 3+ . 59 The particles enlarged by increasing pH from 5-6.5, especially at the molar ratios of Zn 2+ $0.4 ( Figure 2B). This could be explained by the reduced protonation of the PEI backbone at a more basic pH, and the very low solubility of the Zn 2+ complexes, due to the binding of the hydroxyl ion ligands.
The main effect of the molar ratio of Zn 2+ (P,0.05) and the related interaction effect with salt concentration (P,0.05) were statistically significant terms influencing PDI. A relatively high level of the molar ratio of Zn 2+ resulted in more homogeneous particles that might occur due to the crosslink action of Zn 2+ , though the PDI values were still high. An increase of the salt concentration brought about a higher PDI at the low level of Zn 2+ ; however, the lowest PDI was attained at the high level of salt concentration (150 mM) if the molar ratio of Zn 2+ was 0.4. This controversial effect of salt concentration might be due to displacement of Zn 2+ from their complexes at the high NaCl concentration during the phaseseparation step. This phenomenon was reported previously for PEO-g-PEI/surfactant complexes. 60,61 Nevertheless, the salt might stabilize the lyophobic complexes of Zn 2+ at the molar ratio of 0.4, possibly through the formation of the salt bridges on the interface of the lyophobic complexes.
The optimum condition def ined by the minimum Z-average × PDI comprises the molar ratio of Zn 2+ =0.2, pH =5.7, f ETO =0.3, and without additional salt. The resulted self-assembly exhibited Z-average of 33.7 nm and PDI of 0.22 and served as a micellar template for synthesis of crosslinked polymer micelles in the next step.
Cross-linking of the polyamine core of the micellar template was achieved via condensation reaction with the carboxylic functional groups of DTDP, a homobifunctional carboxylic acid based electrophilic cross-linking reagent with a length of 1.2 nm and a cleavable disulfide linkage. Following H-NMR spectra of the nano-networks showed the total integral intensity of the signals due to −S−CH 2 CH 2 −C=O protons of DTDP (m, δ: 2.4-2.9) increased by the cross-link ratio in comparison to the ethylene glycol peak of the PEI ionomers in the swollen state (data not shown). The estimated degree of cross-links per primary amines with the nominal cross-link ratio of 0.3 was calculated as 7.36%. This value gradually increased and reached 15.72% for the nominal cross-linking ratio of 1.2. It is noteworthy to mention that DTDP can also form a loop within a single chain; therefore, the calculated degrees of cross-linking can be overestimated. Figure 3A shows the sizes increased after removing Zn 2+ to about 150-250 nm at the relatively lower cross-link ratios (0.3 and 0.6). These observations are consistent with the swelling nature of the nano-networks. It was understood from Table 2 that the average volumes of the swollen nanonetworks changed more than ten times upon the removal of Zn 2+ at C=0.3, while the volumes exhibited only a modest increase at the higher ratios compared to those of the precursor complexes of Zn 2+ and PEI ionomer. The average sizes of the nano-networks decreased by increasing C from 0.3-1.2.
This is in line with other studies that showed that if the cross-link ratio increased, the smaller particles of PEO-b-PAA were prepared. 15,16 Nevertheless, the average sizes of the cross-linked complexes of the Zn 2+ and the PEI ionomer increased markedly at the cross-link ratio of 1.2 before removing Zn 2+ from the micellar templates. This could be explained by an increase of the hydrophobicity of PEI ionomer/Zn 2+ complexes, due to the amide bond formation mediated by DTDP and the failure of the mPEG chains to prevent aggregation. Figure 3B shows that an increase of PDI happened upon the removal of Zn 2+ that was less pronounced at C=0.6. The changes of PDI could be explained by the positive physical cross-link action of Zn 2+ , which disappeared after acid dialysis. Taking into consideration these results, the synthesis method produces a hydrophilic network with a relatively more uniform population of small particles if compared to other methods, such as polyionic complexation, desolvation, emulsion droplet coalescence, and direct cross-linking. 62 remote loading of MTX MTX, a weak bicarboxylic acid with pKa values of 3.8 and 4.8, could be immobilized into the PEI nano-networks (apparent pKa approximately 8.5) by the simple mixing of the MTX solution with the aqueous dispersions of the nano-networks. Although it seems that the MTX loading was mainly governed through electrostatic charge complexation, we cannot exclude the possibility that the drug molecules can be physically entrapped and retained in the networks, due to nonspecific hydrophobic interactions. Table 3 shows full-factorial design optimization of the MTX loading into the nano-networks. The drug loading was expressed as a function of pH, C and the R in terms of the loading efficiency (LE%) and the loading capacity (LC%). The results of analysis of variance revealed that MTX loading follows the two-factor interaction statistical model (P,0.0001 similarly for LE% and LC%). The main effects of C and R and their interaction (C × R) were determined as the significant terms included in the corresponding models.  Figure 4A shows that an increase of R led to a significant decline of LE% of the PEI ionomer (P=0.001), while LE% was little changed by R for the nano-networks; however, Figure 4B shows that LC% was almost constant for the PEI ionomer (P0.05), but increased for the nano-networks (P=0.001). The increase was more pronounced for R in the range of 0.15 and 0.30, but less at R=0.6, possibly due to reduced binding sites for MTX loading.
Remarkably, the LC% in the PEI ionomer was lower than the nano-networks at R=0.6. It could be explained by the formation of the hydrophobic MTX-bound domains in the polyionic segment of the PEI ionomer stabilized by the mPEG chains that could lead to a self-assembly, preventing the further loading of MTX molecules. Unlike the PEI ionomer, hollow spaces of the nano-networks provide the free diffusion of MTX molecules, so the interaction of MTX with the outer layer amines does not restrict the subsequent loading.
Higher degrees of cross-linking may lead to a decreased LC% ( Figure 4B and C) as reported before for the cross-linked PEO-b-PMA micelles. 16 The pH changes provide an opportunity to tune the electrostatic binding between the MTX and the ionomer chains. LC% did not change by pH in the range of 5-7, since the MTX molecule has a similar negative-charge density in that pH range, and the polymer chain is protonated in the same way at pH =5-7. Both the optimum LE% and LC% were achieved at the average pH of 6 and R=0.3 for the nano-networks, especially at C=0.3. The loading parameters were shown as a function of MTX-feeding ratio (A and B) or ph (C). The optimum LC% of 57% was noticeably higher than the previous report of 12%, 63 so the nano-networks satisfactorily loaded MTX. Table 2 shows that MTX loading was accompanied by reduction of the Z-average of the nano-networks especially at the low cross-link ratio (C=0.3) (P<0.05), suggesting that the drug loading attenuated swelling of the nano-networks through formation of charge-neutralized hydrophobic domains; moreover, the drug loading did not cause any adverse effect on the particle stability.
Notably, the MTX-loaded nano-networks exhibited almost zero value of zeta potential, suggesting that MTX was effectively neutralized by the core amines; nevertheless, nano-networks showed only few positive charges that reduced by increasing the cross-link ratio. The reduced zeta potentials are possibly due to an arrangement of the mPEG chains around the cross-linked polyamine core that shifts the shear plane away from the positive core, as indicated before. 64 aFM An AFM experiment was performed to investigate topological properties of the empty and the MTX-loaded nano-networks (R=0.3) at C=0.3 (cross-link 1) and 0.6 (cross-link 2) compared to the complex of the PEI ionomer and the MTX. As shown in Figure 5, discrete, small, and round particles were observed for the nano-networks at C=0.6 that were smaller and more uniform than the complexes of the ionomer and the MTX. Table 4 shows that the average projected diameters of dehydrated empty nano-networks decreased to about 50 nm, if compared to the hydrodynamic diameters as determined by Zetasizer. After loading the MTX into the nano-networks, the diameters and the Z-values increased significantly (P,0.05), as compared to the empty particles. The average circularity of the empty nanonetwork (C=0.3; R=0) increased significantly (P,0.05)

A B
PEI ionomer -MTX complex MTX-loaded nanonetwork 4 µm 4 µm   3) in a similar pattern that could be explained by the formation of more homogeneous and spherical particles. Upon adsorption of the nano-networks on a glass surface, they exhibited a high aspect ratio, suggesting that the particles were flattened on the substrate as previously addressed. 59 In vitro release study Figure 6 shows the release profiles of the MTX loaded nano-networks (C=0.6; R=0.3) in isotonic-balanced release media (pH 5.5 or 7.5 + 140 mM NaCl). A prolonged release of MTX achieved over 24 hours is consistent with the previous reports of a sustained MTX release for 8-24 hours. 65,66 No burst release or very significant lag-time was recognized (P0.05) for the MTX-loaded nano-networks if compared to free MTX, although the initial burst behavior has been reported in several studies, due to the fast escape of the free MTX out of the nanoparticles. 67,68 The better control of the initial burst release might be explained by the formation of a core-enriched model of an active MTX loading within the closely packed amine moieties. The release data were analyzed, according to the mathematical power function (Korsmeyer-Peppas model) to understand the mechanisms by which the drug release happened and to calculate the corresponding constants (Table 5). The MTX release was determined swelling-controlled, that means the reduced drug concentration gradient over the time period was compensated by an increased swelling of the nano-network which happens following MTX release. It was found that the nano-networks show a control over the MTX release, since n was calculated to be near the value of one, especially at the physiologic pH of 7.5. It could be explained by the reservoir action of the nanonetwork for the negatively charged molecules, such as MTX. The effect of pH and the cross-linking reaction on the rate constant (K) and n were not found significant (P0.05). MTX is a weak acidic drug that exhibits more solubility at pH 7.5 than at 5.5. The lower solubility of MTX at the acidic environment of inflamed tissues can be considered as a hurdle for the delivery of MTX. The negative solubility behavior of MTX was improved most likely by a pronounced swelling of the nano-networks that compensates the reduced solubility of the drug in the relatively acidic pH of 5.5.
To evaluate whether reducing the disulfide containing crosslink (DTDP) can trigger MTX release from the nano-networks, the study was repeated in the release media supplemented with a reducing agent, such as TCEP, which is active in a broad range of pH and simulates the reducing action of glutathione. The TCEP treatment increased K, irrespective of the medium pH (P,0.05), that -in turn -indicates that the MTX release can be accelerated in the intracellular reducing environment.

redox-sensitive degradation
To fabricate a stabilized redox-sensitive system for intravenous administration, bioreversible disulfide containing cross-links (DTDP) were used for the preparation of the nano-networks.
To study whether the disulfide bonds in the core of the nano-networks undergo cleavage, the empty particles were incubated in a simulated medium containing reducing agents, such as NaBH 4 . Figure 7 shows the ratio of free thiol to total primary amines of the nano-networks increased in the presence of the reducing agent, as the cross-link density increased. The cross-links were stable during synthesis of the nano-networks since no significant free thiol was found at the end of the reaction; nevertheless, the stable disulfide containing cross-links could be prone to glutathione mediated reduction, which predominantly occurs in the intracellular medium. 69  In vitro cellular studies MTT assay is a sensitive method for determination of the cytotoxicity of nanostructures, since they primarily exert toxicity on the mitochondrial compartment following cellular internalization. 70 The assay was performed to compare cytotoxicity of native PEI, the PEI ionomer, or the nano-networks at C=0.3 (cross-linked 1) or C=0.6 (crosslinked 2) in the HepG2 cell line after incubation for 24 hours ( Figure 8A). PEI demonstrated a concentration-dependent cytotoxicity while the PEI ionomer showed a reduced In contrast, the nano-networks showed practically no cytotoxic effect at concentrations below 100 µg/mL. This interesting result could be explained by the substantially reduced ζ-potentials of the nano-networks and the shielding effect of the mPEG shell, as discussed by different authors. 71,72 Prior to evaluating the activity of the MTX-loaded nanonetworks, the cytotoxicity of free MTX was studied as a function of the drug concentration after 24, 48, and 72 hours ( Figure 8B). The incubation of HepG2 cells with increasing concentrations of MTX in the range of 0.1-100 µM did not result in significant changes in cell viability at each time interval; however, a time-dependent cytotoxic effect was observed (P,0.001), as previously reported, 73 since MTX is a cytostatic chemotherapeutic agent that mainly inhibits cell proliferation. The toxicity on HepG2 cells was augmented for the MTX loaded in the nano-networks (P,0.05), especially at the concentrations above 1 µM ( Figure 8C), though the empty nano-networks did not demonstrate cytotoxicity. The finding might be related to the mechanisms by which free MTX transports into cells. The cellular entry of MTX is restricted to saturable mechanisms, such as the reduced folate transmembrane carrier and the folate receptor. 74 Unlike free MTX, the MTX-loaded nano-networks can enter the cells via a parallel endocytic pathway. Moreover, the drug molecules that escaped from the endosomal compartment are less accessible to efflux pumps; therefore, a higher cellular accumulation of MTX and an enhanced cytotoxicity can be achieved. The issue was similarly addressed for different nanoparticulate systems. 75,76

Conclusion
The nano-networks synthesized successfully through the cross-linking of the micellar template of the PEI ionomer complex, whose size distribution is controlled by pH and the molar ratio of a complexing metal ion, such as Zn 2+ . They comprise a polycation swollen core structure stabilized by a hydrophilic mPEG shell, avoiding unfavorable interactions with biological interfaces. The nano-networks exhibited some appropriate pharmaceutical properties, such as small sizes, uniformity, globular morphology, and flexibility without using high shear forces or organic solvents for manipulation. They were able to accommodate negatively charged molecules, such as MTX, efficiently featured with a higher encapsulation capacity than the corresponding polyionic micelles and a prolonged MTX release in a swelling-controlled manner; moreover, the strategy of reductive activation of nanonetwork biodegradation boosted the release rate in the simulated intracellular medium. Taken together, these observations and the enhanced antitumor activity in vitro might imply the potential application of the nano-networks for the successful delivery of MTX that should be tested in vivo.