# Controllable Assembly of Hydrophobic Superparamagnetic Iron Oxide Nanoparticle with mPEG-PLA Copolymer and Its Effect on MR Transverse Relaxation Rate

Authors: Xuan Xie; Chunfu Zhang
Journal: Journal of Nanomaterials
 (2011)

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## Abstract

Assembly of individual superparamagnetic iron oxide nanoparticles (SPION) into cluster is an effective way to prepare MRI contrast agent with high relaxivity. In this study, we fabricated SPION clusters with different sizes and configurations by assembly of amphiphilic mPEG-PLA copolymer with hydrophobic SPION in aqueous solution. The evolution of cluster size and configuration with the amount of copolymer and the effect of cluster size on the transverse relaxivity was studied.T2 relaxation rates of clusters with different sizes at iron concentration of 0.1 mM were compared with the theoretical predictions. We found that the relative amount of copolymer/SPION was crucial for the formation of SPION cluster. The transverse relaxivity of the condense SPION clusters (CSC) was size-dependent. The experimentally measured T2 relaxation rates of the clusters were lower than the theoretical predictions. In motional average regime (MAR) region, T2 relaxation rates were more consistent with the theoretical values when transmission electron microscope (TEM) evaluated size was used. Therefore, for fabrication of SPION clusters with assembly of mPEG-PLA and hydrophobic SPION, delicate balance between the amount of copolymer and SPION should be pursued, and for comparison of experimental T2 relaxation rate with theoretical predictions, TEM evaluated size was more suitable.


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## Body

## 1. Introduction

Magnetic resonance imaging (MRI) is among the best noninvasive methodologies today in clinical medicine for assessing anatomy and function of tissues. The MRI technique offers several advantages such as excellent temporal and spatial resolution, the lack of exposure to radiation, rapid in vivo acquisition of images, and long effective imaging window [1]. These strengths make it a highly desirable modality for MR molecular imaging. However, due to its relatively lower sensitivity towards traditional small molecule contrast agents, such as Gd-DTPA, its success in this research field suffers.Superparamagnetic iron oxide nanoparticle (SPION), because of its biocompatibility and much higher sensitivity than gadolinium contrast agent, is preferable for MR contrast enhancement. Currently, SPION coated with dextran and its derivatives have been used in clinical routine and also extensively explored for MR molecular imaging [2, 3]. However, for detecting targets with lower expression level, contrast agents with much higher sensitivity are superior. Ultrahigh sensitive MnMEIO probe had been demonstrated not only to detect the expression but also to differentiate the expression level of HER2/Neu on tumor cells [4].Increasing SPION size can increase its transverse relaxivity [5]. However, the large particles (at a size approximately larger than 15 nm) are not superparamagnetic [6] and easily aggregate in solution. Another way to increase T2 relaxivity, while keeping the superparamagnetic characteristics, is clustering individual SPION into clusters. Using polyelectrolyte-neutral block copolymers and by electrostatic adsorption and charge compensation between oppositely charged species, Berret et al. [7] fabricated maghemite nanocluster and tuned the size of aggregates in the range of 70–150 nm with aggregation numbers (number of nanoparticles per aggregate) from tens to hundreds. It was found that the transverse relaxivity, r2, was noticeably increased with the size of the magnetic clusters. Ai et al. had also obtained similar result for magnetic nanoparticles encapsulated into the hydrophobic cores of 20–100 nm polymeric micelles [8]. These studies indicated that clustering magnetic nanoparticles resulted in enhanced transverse relaxivity. In recent years, different strategies for fabrication of superparamagnetic magnetic nanoclusters had been put forward [9–11].mPEG-PLA is an amphiphilic copolymer and ideal for fabrication of SPION cluster for MR molecular imagingin vivo. First, both PEG and PLA are FDA allowed. Second, the properties of PLA, such as crystallinity, tensile strength and hydrophobicity, can be easily modulated, thus the loading capacity for hydrophobic SPION can be tuned [12]. In addition, PEG is nonimmunogenic and highly hydrophilic. Surface coating with PEG has been demonstrated to extend nanoparticle circulation time in vivo, leading to better targeting behavior [13]. mPEG-PLA micelles have been shown to be able to load hydrophobic SPION and doxorubicin simultaneously and hold great promise for MR molecular imaging [10].So, in this study, we fabricated SPION cluster with high MR sensitivity by assembly of hydrophobic SPION with amphiphilic mPEG-PLA copolymer. The relaxation rates of the clusters with different sizes and configuration were studied and compared with theoretical predictions. The condense SPION cluster (CSC) contrast agent may find its uses in MR molecular imaging of targets on tumor angiogenic vessels, such as,αvβ3, VEGFR, and vascular cell adhesion molecule (VCAM).


## 2. Experimental

### 2.1. Chemicals

Poly(ethylene glycol) methyl ether (mPEG, Mw 5000), D,L-lactide, Sn(II) octoate, Fe(acac)3, benzyl ether, oleylamine(70%), and 1,2-hexadecanediol(90%) were purchased from Sigma (St. Louis, MO). Other chemical reagents were obtained from Sinopharm Chemical Reagent Co. (China). Toluene was dried by refluxing over sodium under dry argon. All aqueous solutions were prepared with water from a Milli-Q water purification system.


### 2.2. Synthesis of mPEG-PLA Copolymer

mPEG-PLA was synthesized by ring opening polymerization of D,L-lactide at110°C [10]. In detail, 1 g poly(ethylene glycol) methyl ether (mPEG, Mw 5000) was added into two-necked round flask, heated at 80°C under vacuum for 1 h, and subsequently cooled down to the ambient temperature.  D, L-Lactide (1 g) was then added into the flask, and vacuumed overnight. Subsequently, freshly distilled toluene (10 mL) was injected into the flask and the polymerization was initiated by adding tin(II) 2-ethylhexanonate (60 μL) as catalyst at 110°C with nitrogen flushing. After the reaction was performed for 4 h, the mixture was allowed to cool down to the ambient temperature, and toluene was removed by rotary evaporator. The final product was purified with THF three times.


### 2.3. Synthesis of Hydrophobic SPION

The hydrophobic SPIONs were synthesized following the published procedure [11] with little modification. Briefly, Fe(acac)3 (1 mmol), 1,2-hexadecanediol (5 mmol), oleic acid (3 mmol), oleylamine (3 mmol), and benzyl ether (10 mL) were mixed into a three-necked flask and magnetically stirred under a flow of nitrogen. The mixture was heated to 200°C for 2 h under a blanket of nitrogen and refluxed at 300°C for 1 h. After cooling to the ambient temperature, the solution was treated with ethanol and centrifuged to yield a dark-brown precipitate. The precipitate was washed with ethanol three times and finally dispersed in toluene.


### 2.4. Assembly of mPEG-PLA with Hydrophobic SPION

For assembly of mPEG-PLA with hydrophobic SPION, the hydrophobic SPION in toluene was first dried with nitrogen flow and mixed with mPEG-PLA (in 1 mL THF solution). Then, the mixture was quickly injected into water (5 mL) with vigorous stirring. THF was removed by evaporation at room temperature overnight.  By varying the amount of SPION (0.67, 1.33 mg) or mPEG-PLA (0.1–0.5 mg) used, different size and configuration of magnetite clusters were able to be prepared.


### 2.5. Characterizations

#### 2.5.1.1H Nuclear Magnetic Resonance

The polymerization of mPEG with D, L-Lactide monomers was characterized with nuclear magnetic resonance (Bruker Avance 500 MHz NMR, USA). The degree of polymerization was calculated by comparing integral intensity of characteristic resonance of PLA at 5.2 ppm(-C(=O)-CH(-CH3-)) and mPEG resonance at 3.64 ppm(-OCH2CH2-) in the 1H spectra.


#### 2.5.2. Transmission Electron Microscope (TEM)

The morphology, size, and size distribution of the hydrophobic SPION and SPION clusters were characterized by TEM (JEOL 2100F, Japan). The particle suspension was directly deposited onto a carbon-coated copper grid and air-dried at room temperature. The particle size and size distribution were calculated using an image analysis program by measuring the diameter of at least 300 particles.


#### 2.5.3. Hydrodynamic Size

The hydrodynamic size of the clusters was measured by dynamic light scattering (DLS) using a Malvern Autosizer 4700/PCS100 spectrometer equipped with an Ar ion laser operating at 488 nm. Triple measurements were performed, and the number- and volume-weighted mean size were taken.


#### 2.5.4.T2 Relaxometry

The relaxometry was performed using a 1.4 T minispec mq60 NMR Analyzer (Bruker, Germany) following the reported method [14]. The micelles were suspended at the iron concentrations between 0.001 and 10 mM. For MR measurements, 0.3 mL micelle dilutions were filled into the test tubes, and T2 relaxation times were measured at 310 K using a standard Carr-Purcell-Meiboom-Gill pulse sequence with echo time τCP = 0.5 ms. The T2 relaxivities were determined by a linear fit of the inverse relaxation times as a function of the iron concentrations.


#### 2.5.5. Vibrating Sample Magnetometer (VSM)

Magnetic properties of hydrophobic SPION and SPION clusters were characterized in a vibrating sample magnetometer (LakeShore7300, USA). The tested samples were lyophilized and dried at80°C under vacuum prior to analysis. The magnetization (M, emu g−1) of the samples was measured as a function of the magnetic field (H, Oe) at 298 K.


#### 2.5.6. Thermogravimetric Analysis (TGA)

TGA analysis for hydrophobic SPION and SPION clusters was performed with a NETZSCH TG 209 F1 iris instrument (NETZSCH, Germany) from room temperature to1000°C with a heating rate of 10°C min−1 in a nitrogen flow (20 mL min−1). The initial weight of sample was 10 mg. The weight fraction (wt%) of organic component (mPEG-PLA) and SPION in the clusters were deduced from the TGA curve.


## 2.1. Chemicals

Poly(ethylene glycol) methyl ether (mPEG, Mw 5000), D,L-lactide, Sn(II) octoate, Fe(acac)3, benzyl ether, oleylamine(70%), and 1,2-hexadecanediol(90%) were purchased from Sigma (St. Louis, MO). Other chemical reagents were obtained from Sinopharm Chemical Reagent Co. (China). Toluene was dried by refluxing over sodium under dry argon. All aqueous solutions were prepared with water from a Milli-Q water purification system.


## 2.2. Synthesis of mPEG-PLA Copolymer

mPEG-PLA was synthesized by ring opening polymerization of D,L-lactide at110°C [10]. In detail, 1 g poly(ethylene glycol) methyl ether (mPEG, Mw 5000) was added into two-necked round flask, heated at 80°C under vacuum for 1 h, and subsequently cooled down to the ambient temperature.  D, L-Lactide (1 g) was then added into the flask, and vacuumed overnight. Subsequently, freshly distilled toluene (10 mL) was injected into the flask and the polymerization was initiated by adding tin(II) 2-ethylhexanonate (60 μL) as catalyst at 110°C with nitrogen flushing. After the reaction was performed for 4 h, the mixture was allowed to cool down to the ambient temperature, and toluene was removed by rotary evaporator. The final product was purified with THF three times.


## 2.3. Synthesis of Hydrophobic SPION

The hydrophobic SPIONs were synthesized following the published procedure [11] with little modification. Briefly, Fe(acac)3 (1 mmol), 1,2-hexadecanediol (5 mmol), oleic acid (3 mmol), oleylamine (3 mmol), and benzyl ether (10 mL) were mixed into a three-necked flask and magnetically stirred under a flow of nitrogen. The mixture was heated to 200°C for 2 h under a blanket of nitrogen and refluxed at 300°C for 1 h. After cooling to the ambient temperature, the solution was treated with ethanol and centrifuged to yield a dark-brown precipitate. The precipitate was washed with ethanol three times and finally dispersed in toluene.


## 2.4. Assembly of mPEG-PLA with Hydrophobic SPION

For assembly of mPEG-PLA with hydrophobic SPION, the hydrophobic SPION in toluene was first dried with nitrogen flow and mixed with mPEG-PLA (in 1 mL THF solution). Then, the mixture was quickly injected into water (5 mL) with vigorous stirring. THF was removed by evaporation at room temperature overnight.  By varying the amount of SPION (0.67, 1.33 mg) or mPEG-PLA (0.1–0.5 mg) used, different size and configuration of magnetite clusters were able to be prepared.


## 2.5. Characterizations

### 2.5.1.1H Nuclear Magnetic Resonance

The polymerization of mPEG with D, L-Lactide monomers was characterized with nuclear magnetic resonance (Bruker Avance 500 MHz NMR, USA). The degree of polymerization was calculated by comparing integral intensity of characteristic resonance of PLA at 5.2 ppm(-C(=O)-CH(-CH3-)) and mPEG resonance at 3.64 ppm(-OCH2CH2-) in the 1H spectra.


### 2.5.2. Transmission Electron Microscope (TEM)

The morphology, size, and size distribution of the hydrophobic SPION and SPION clusters were characterized by TEM (JEOL 2100F, Japan). The particle suspension was directly deposited onto a carbon-coated copper grid and air-dried at room temperature. The particle size and size distribution were calculated using an image analysis program by measuring the diameter of at least 300 particles.


### 2.5.3. Hydrodynamic Size

The hydrodynamic size of the clusters was measured by dynamic light scattering (DLS) using a Malvern Autosizer 4700/PCS100 spectrometer equipped with an Ar ion laser operating at 488 nm. Triple measurements were performed, and the number- and volume-weighted mean size were taken.


### 2.5.4.T2 Relaxometry

The relaxometry was performed using a 1.4 T minispec mq60 NMR Analyzer (Bruker, Germany) following the reported method [14]. The micelles were suspended at the iron concentrations between 0.001 and 10 mM. For MR measurements, 0.3 mL micelle dilutions were filled into the test tubes, and T2 relaxation times were measured at 310 K using a standard Carr-Purcell-Meiboom-Gill pulse sequence with echo time τCP = 0.5 ms. The T2 relaxivities were determined by a linear fit of the inverse relaxation times as a function of the iron concentrations.


### 2.5.5. Vibrating Sample Magnetometer (VSM)

Magnetic properties of hydrophobic SPION and SPION clusters were characterized in a vibrating sample magnetometer (LakeShore7300, USA). The tested samples were lyophilized and dried at80°C under vacuum prior to analysis. The magnetization (M, emu g−1) of the samples was measured as a function of the magnetic field (H, Oe) at 298 K.


### 2.5.6. Thermogravimetric Analysis (TGA)

TGA analysis for hydrophobic SPION and SPION clusters was performed with a NETZSCH TG 209 F1 iris instrument (NETZSCH, Germany) from room temperature to1000°C with a heating rate of 10°C min−1 in a nitrogen flow (20 mL min−1). The initial weight of sample was 10 mg. The weight fraction (wt%) of organic component (mPEG-PLA) and SPION in the clusters were deduced from the TGA curve.


## 2.5.1.1H Nuclear Magnetic Resonance

The polymerization of mPEG with D, L-Lactide monomers was characterized with nuclear magnetic resonance (Bruker Avance 500 MHz NMR, USA). The degree of polymerization was calculated by comparing integral intensity of characteristic resonance of PLA at 5.2 ppm(-C(=O)-CH(-CH3-)) and mPEG resonance at 3.64 ppm(-OCH2CH2-) in the 1H spectra.


## 2.5.2. Transmission Electron Microscope (TEM)

The morphology, size, and size distribution of the hydrophobic SPION and SPION clusters were characterized by TEM (JEOL 2100F, Japan). The particle suspension was directly deposited onto a carbon-coated copper grid and air-dried at room temperature. The particle size and size distribution were calculated using an image analysis program by measuring the diameter of at least 300 particles.


## 2.5.3. Hydrodynamic Size

The hydrodynamic size of the clusters was measured by dynamic light scattering (DLS) using a Malvern Autosizer 4700/PCS100 spectrometer equipped with an Ar ion laser operating at 488 nm. Triple measurements were performed, and the number- and volume-weighted mean size were taken.


## 2.5.4.T2 Relaxometry

The relaxometry was performed using a 1.4 T minispec mq60 NMR Analyzer (Bruker, Germany) following the reported method [14]. The micelles were suspended at the iron concentrations between 0.001 and 10 mM. For MR measurements, 0.3 mL micelle dilutions were filled into the test tubes, and T2 relaxation times were measured at 310 K using a standard Carr-Purcell-Meiboom-Gill pulse sequence with echo time τCP = 0.5 ms. The T2 relaxivities were determined by a linear fit of the inverse relaxation times as a function of the iron concentrations.


## 2.5.5. Vibrating Sample Magnetometer (VSM)

Magnetic properties of hydrophobic SPION and SPION clusters were characterized in a vibrating sample magnetometer (LakeShore7300, USA). The tested samples were lyophilized and dried at80°C under vacuum prior to analysis. The magnetization (M, emu g−1) of the samples was measured as a function of the magnetic field (H, Oe) at 298 K.


## 2.5.6. Thermogravimetric Analysis (TGA)

TGA analysis for hydrophobic SPION and SPION clusters was performed with a NETZSCH TG 209 F1 iris instrument (NETZSCH, Germany) from room temperature to1000°C with a heating rate of 10°C min−1 in a nitrogen flow (20 mL min−1). The initial weight of sample was 10 mg. The weight fraction (wt%) of organic component (mPEG-PLA) and SPION in the clusters were deduced from the TGA curve.


## 3. Results and Discussion

### 3.1. Synthesis and Characterizations of SPION and SPION Clusters

By thermal decomposition of iron precursors in the organic solvent in the presence of surfactants, hydrophobic SPION with tunable sizes can be synthesized [11]. In this study, the size of SPION synthesized was about 6 nm, and it was coated with oleic acid and dispersed in toluene very well (Figure 1(a)) [15].(a) TEM image of hydrophobic superparamagnetic iron oxide nanoparticles. The size of the particles is about 6 nm. (b) 1H NMR spectrum of PEG  (5 K)-PLA(2.5 K).
(a)(b)The polymerization of D,L-lactide monomers with mPEG induced by hydroxyl group was manifested by1H NMR spectrum. The characteristic peaks occurring at 5.2 ppm and 3.64 ppm in the 1H NMR spectrum were the resonance of methine protons in PLA (-C(=O)-CH(-CH3-)) and methylene protons in PEG (-OCH2CH2-), respectively. By varying the amount of catalyst, mPEG-PLA copolymers with different molecular weights (Mw: 7100, 7500, 8400, and 9340) were synthesized. The representative 1H NMR spectrum of  mPEG-PLA with molecular weight of 7500 was shown in Figure 1(b).For fabrication of SPION clusters, 0.67 mg hydrophobic SPION was first used to assemble with different amounts of mPEG-PLA. Increasing the amount of copolymer (Mw 7500) from 0.05 mg to 0.2 mg led to the decrease in the assembly size (number-weighted size, Figure2). When the copolymer mass was more than 0.2 mg, the size of the cluster would not change significantly and maintained at about 45 nm. Morphologically, condense SPION cluster (CSC, Figure 3(a)) or blank mPEG-PLA micelle with SPION adhesion on the surface (referred to “loosen SPION cluster,” LSC) (Figure 3(b)) was observed during the change of cluster sizes. The evolution of cluster size and configuration with polymer amount were similar when double amount of SPION (1.33 mg) was utilized.  However, a rise in SPION amount resulted in dramatical size increase (Figure 2).Figure 2
Evolution of hydrodynamic size (number weighted) of SPION clusters  fabricated with different amounts of  hydrophobic SPION or amphiphilic copolymer.Characterizations of SPION clusters. (a) and (b) Representative TEM images of condense SPION clusters (CSC) and loosen SPION cluster (LSC), respectively. (c) TGA curve of hydrophobic SPION (A), condense SPION clusters (B) and loosen SPION cluster (C). (d) Magnetization plot of SPION as a function of the applied field at 298 K.
(a)(b)(c)(d)The assembly of mPEG-PLA with hydrophobic SPION in aqueous solution is the result of strong absorption of SPION with the hydrophobic segment (PLA) of the amphiphilic polymer. Upon mPEG-PLA, SPION, and THF mixture is added into aqueous solution, the hydrophobic PLA chain is preferred to be inserted into the space between the oleic acids on SPION surface with hydrophilic PEG chain extending outside. With increase in mPEG-PLA amount in the aqueous solution, more polymer will be available for individual SPION and less SPION would be included in one cluster, which may decrease the cluster size. However, single SPION coated with mPEG-PLA was not found.For fabrication of condense SPION cluster (CSC), Mw of mPEG-PLA did not affect the size of cluster significantly. As shown in Figure2, in the case of assembly of  0.1 mg copolymer with 0.67 mg SPION with copolymer Mw of 7500, the size of cluster was 58.3 nm. When copolymers of different Mw (7100, 8400, and 9340) were used for assembly with identical mass of copolymer (0.1 mg) and SPION (0.67 mg), the sizes of the clusters were 60.6 nm, 58.1 nm, and 63.2 nm, respectively.TGA curves of hydrophobic SPION, CSC, or LSC showed that the first step of thermal decomposition was around100°C and the major decomposition occurred in the temperature range at 200–800°C. Less weight loss occurred at temperatures above 800°C (Figure 3(c)). The initial weight loss was due to removal of surface adsorbed water (hydrophobic SPION: 2.12%, CSC: 3.33%, and LSC: 6.87%). The weight loss between 200–800°C was attributed to the thermal degradation of organic components on the SPION surface or in the clusters (23.56% for hydrophobic SPION, 42.92% for CSC, and 55.55% for LSC).  The contents for residues (SPION) were 74.32% for hydrophobic SPION, 53.74%  for CSC, and 37.58% for LSC, respectively.Magnetic properties of hydrophobic SPION, CSC and LSC were studied by using a vibration sample magnetometer (VSM). According to the SPION content deduced from TGA data, the saturation magnetization (Ms) value of SPION was found to be 66.73 emu g−1 (Figure 3(d)). The shape of the hysteresis curve was normal and tight with no hysteresis losses, which was expected as the behavior of superparamagnet [16].T2 relaxation rate (1/T2) of SPION cluster was fitted as a function of iron concentrations (Figure 4(a)). For condense SPION cluster (CSC), T2 relaxivities were 234, 363, and 413 s-1mM-1 at the sizes (number-weighted) of 49, 59, and 76 nm, respectively. When the size of the cluster reached 113 nm, the T2 relaxivity was as high as 512 s-1mM-1.  These findings were consistent with previous reports that clustering magnetic nanoparticles resulted in enhanced transverse relaxivity [7, 8]. Whereas, for loosen SPION cluster (LSC), the T2 relaxivity was comparatively low (43 nm, r2 = 116.94 s-1mM-1).MR relaxation property of SPION clusters, these size distributions and comparison of the relaxation rates with theoretical predictions (d).  (a) Relaxation rates of SPION clusters as functions of iron concentrations. (b) Size  distribution of SPION clusters evaluated with volume-weighted method. (A) loosen SPION clusters (LSC): 58 nm. (B)–(F), condense SPION clusters (CSC): 73 nm, 95 nm, 97 nm, 144 nm and 199 nm, respectively. (c) Size distribution of SPION clusters evaluated with number-weighted method. (A) loosen SPION clusters (LSC): 43 nm. (B)–(F), condense SPION clusters (CSC): 48 nm, 59 nm, 76 nm, 85 nm and 113 nm, respectively. (d) Comparison of relaxation rates of SPION clusters with theoretical predictions with sizes evaluated with TEM or DLS (number-weighted and volume-weighted). The straight lines are fair approximations of the theoretical predictions (MAR, SD and ELR). Loosen SPION clusters (LSC) demonstrate the smallest sizes and relaxation rate.
(a)(b)(c)(d)


### 3.2. Comparison of the ExperimentalT2 Relaxation Rates with  Theoretical Predictions

In order to compare the experimentalT2 relaxation rates with theoretical predictions, the T2 relaxation rates versus volume-weighted (Figure 4(b)) and number-weighted (Figure 4(c)) hydrodynamic sizes of SPION clusters were plotted at 0.1 mM iron concentration. The T2 relaxation rate of water in magnetic particle suspension is predicted by different regimes according to the size of the particle [17]. When particles are small, the T2 relaxation rate will be dominated by water molecular motions (motional average regime, MAR). 1/T2 is proportional to τD(1)1T2=16fvΔω2τD45,
where fv is the volume fraction of magnetic particles, Δω is the difference in angular frequency between the local field experienced by a proton at the equatorial line of the cluster surface and in the bulk, and τD is the translational diffusion time around the cluster, in which (2)Δω=γμ0M3,(3)τD=R2D.γ is the proton gyromagnetic ratio (42.58 MHz/T); μ0 the vacuum magnetic permeability (4π × 10-7 Tm/A); M the particle magnetization.; R the particle radius; Dw the self-diffusion coefficient of pure water at 310 K (3 × 109 m2s-1) [18].When particle size increases to a certain size, theT2 relaxation rate reaches its maximum and is governed by static dephasing regime (SDR):(4)1T2=2π√3fvΔω9.
Above this size, it plateaus. Further size increase would result in decrease of T2 relaxation rate, which can be predicted by echo-limited regime (ELR). In this regime, T2 relaxation rate is proportional to 1/τD and is related to τCP, with  (5)1T2=1.8fv(ΔωτCP)1/3(1.52+fvΔωτCP)5/3τD.
The intersections of SDR with MAR (left edge of SDR, τD1) and ELR ( right edge of SDR, τD2) are, respectively, at (6)τD1=5π√38Δω,(7)τD2=(1.49Δω)(ΔωτCP)1/3(1.52+fvΔωτCP)5/3;
[18].Using the measured magnetization of SPION (66.73 emu/g), the theoretical 1/T2 versus size of the particle (diameter) can be calculated by (1),  (2),  (4), and (5) with τCP = 0.5 ms and [Fe] = 0.1 mM (fv = 1.52 × 10-5 [Fe] [17]). The result was plotted in Figure 4(d) as a line consisting of three straight segments. The experimental 1/T2 data points were also shown in the figure versus number-weighted or volume-weighted hydrodynamic size.According to (6) and (7), the calculated left edge and right edge of SDR are about 30 nm and 160 nm, respectively, which means that SDR is satisfied in this size range and T2 relaxation rate reaches its maximum (73.48 s-1) and keeps unchanged. In our case, the sizes of SPION cluster (number-weighted or volume-weighted) all fall in this size range. However, for CSC, T2 relaxation rates increase (from 25 s-1 to 43 s-1) with cluster size increase, expressing MAR behavior and reach its maximum at size about 85 nm for number-weighted size and 144 nm for volume-weighted size. Moreover, compared with theoretical prediction, the measured T2 relaxation rate is much lower (for both MAR and SDR). This phenomena has also been observed for a styrene-acrylic acid copolymer-coated or dextran-coated iron oxide particles [18]. For LSC, the relaxation rate was also lower than that of theoretical prediction.The possible explanation of the lower experimental value in MAR region may be that size evaluated by DLS with number-weighted or volume-weighted method was overestimated. When TEM-evaluated cluster size, which measures the size in “dry” state and may reflect the size more close to the “real” one, was applied, the measured relaxation rates were more closer to the theoretical line, which was consistent with  the observation of micogel iron oxide particles [19]. However, in the SDR region, replacement with TEM size does not narrow the discrepancy between the experimental values and the theoretical prediction. Comparison of the experimental T2 relaxation rate of a particular SPION formulation with that of theoretical prediction is complicated, which may involve the methods used for particle size evaluation [20, 21], magnetic property, surface coating, and even different formulation of the particles [18, 20]. The low T2 relaxation rate of the studied suspensions of iron-oxide particle clusters may be a general phenomena for all water suspensions of iron-oxide particles, and further experimental and theoretical studies are needed to confirm and understand it [18].


## 3.1. Synthesis and Characterizations of SPION and SPION Clusters

By thermal decomposition of iron precursors in the organic solvent in the presence of surfactants, hydrophobic SPION with tunable sizes can be synthesized [11]. In this study, the size of SPION synthesized was about 6 nm, and it was coated with oleic acid and dispersed in toluene very well (Figure 1(a)) [15].(a) TEM image of hydrophobic superparamagnetic iron oxide nanoparticles. The size of the particles is about 6 nm. (b) 1H NMR spectrum of PEG  (5 K)-PLA(2.5 K).
(a)(b)The polymerization of D,L-lactide monomers with mPEG induced by hydroxyl group was manifested by1H NMR spectrum. The characteristic peaks occurring at 5.2 ppm and 3.64 ppm in the 1H NMR spectrum were the resonance of methine protons in PLA (-C(=O)-CH(-CH3-)) and methylene protons in PEG (-OCH2CH2-), respectively. By varying the amount of catalyst, mPEG-PLA copolymers with different molecular weights (Mw: 7100, 7500, 8400, and 9340) were synthesized. The representative 1H NMR spectrum of  mPEG-PLA with molecular weight of 7500 was shown in Figure 1(b).For fabrication of SPION clusters, 0.67 mg hydrophobic SPION was first used to assemble with different amounts of mPEG-PLA. Increasing the amount of copolymer (Mw 7500) from 0.05 mg to 0.2 mg led to the decrease in the assembly size (number-weighted size, Figure2). When the copolymer mass was more than 0.2 mg, the size of the cluster would not change significantly and maintained at about 45 nm. Morphologically, condense SPION cluster (CSC, Figure 3(a)) or blank mPEG-PLA micelle with SPION adhesion on the surface (referred to “loosen SPION cluster,” LSC) (Figure 3(b)) was observed during the change of cluster sizes. The evolution of cluster size and configuration with polymer amount were similar when double amount of SPION (1.33 mg) was utilized.  However, a rise in SPION amount resulted in dramatical size increase (Figure 2).Figure 2
Evolution of hydrodynamic size (number weighted) of SPION clusters  fabricated with different amounts of  hydrophobic SPION or amphiphilic copolymer.Characterizations of SPION clusters. (a) and (b) Representative TEM images of condense SPION clusters (CSC) and loosen SPION cluster (LSC), respectively. (c) TGA curve of hydrophobic SPION (A), condense SPION clusters (B) and loosen SPION cluster (C). (d) Magnetization plot of SPION as a function of the applied field at 298 K.
(a)(b)(c)(d)The assembly of mPEG-PLA with hydrophobic SPION in aqueous solution is the result of strong absorption of SPION with the hydrophobic segment (PLA) of the amphiphilic polymer. Upon mPEG-PLA, SPION, and THF mixture is added into aqueous solution, the hydrophobic PLA chain is preferred to be inserted into the space between the oleic acids on SPION surface with hydrophilic PEG chain extending outside. With increase in mPEG-PLA amount in the aqueous solution, more polymer will be available for individual SPION and less SPION would be included in one cluster, which may decrease the cluster size. However, single SPION coated with mPEG-PLA was not found.For fabrication of condense SPION cluster (CSC), Mw of mPEG-PLA did not affect the size of cluster significantly. As shown in Figure2, in the case of assembly of  0.1 mg copolymer with 0.67 mg SPION with copolymer Mw of 7500, the size of cluster was 58.3 nm. When copolymers of different Mw (7100, 8400, and 9340) were used for assembly with identical mass of copolymer (0.1 mg) and SPION (0.67 mg), the sizes of the clusters were 60.6 nm, 58.1 nm, and 63.2 nm, respectively.TGA curves of hydrophobic SPION, CSC, or LSC showed that the first step of thermal decomposition was around100°C and the major decomposition occurred in the temperature range at 200–800°C. Less weight loss occurred at temperatures above 800°C (Figure 3(c)). The initial weight loss was due to removal of surface adsorbed water (hydrophobic SPION: 2.12%, CSC: 3.33%, and LSC: 6.87%). The weight loss between 200–800°C was attributed to the thermal degradation of organic components on the SPION surface or in the clusters (23.56% for hydrophobic SPION, 42.92% for CSC, and 55.55% for LSC).  The contents for residues (SPION) were 74.32% for hydrophobic SPION, 53.74%  for CSC, and 37.58% for LSC, respectively.Magnetic properties of hydrophobic SPION, CSC and LSC were studied by using a vibration sample magnetometer (VSM). According to the SPION content deduced from TGA data, the saturation magnetization (Ms) value of SPION was found to be 66.73 emu g−1 (Figure 3(d)). The shape of the hysteresis curve was normal and tight with no hysteresis losses, which was expected as the behavior of superparamagnet [16].T2 relaxation rate (1/T2) of SPION cluster was fitted as a function of iron concentrations (Figure 4(a)). For condense SPION cluster (CSC), T2 relaxivities were 234, 363, and 413 s-1mM-1 at the sizes (number-weighted) of 49, 59, and 76 nm, respectively. When the size of the cluster reached 113 nm, the T2 relaxivity was as high as 512 s-1mM-1.  These findings were consistent with previous reports that clustering magnetic nanoparticles resulted in enhanced transverse relaxivity [7, 8]. Whereas, for loosen SPION cluster (LSC), the T2 relaxivity was comparatively low (43 nm, r2 = 116.94 s-1mM-1).MR relaxation property of SPION clusters, these size distributions and comparison of the relaxation rates with theoretical predictions (d).  (a) Relaxation rates of SPION clusters as functions of iron concentrations. (b) Size  distribution of SPION clusters evaluated with volume-weighted method. (A) loosen SPION clusters (LSC): 58 nm. (B)–(F), condense SPION clusters (CSC): 73 nm, 95 nm, 97 nm, 144 nm and 199 nm, respectively. (c) Size distribution of SPION clusters evaluated with number-weighted method. (A) loosen SPION clusters (LSC): 43 nm. (B)–(F), condense SPION clusters (CSC): 48 nm, 59 nm, 76 nm, 85 nm and 113 nm, respectively. (d) Comparison of relaxation rates of SPION clusters with theoretical predictions with sizes evaluated with TEM or DLS (number-weighted and volume-weighted). The straight lines are fair approximations of the theoretical predictions (MAR, SD and ELR). Loosen SPION clusters (LSC) demonstrate the smallest sizes and relaxation rate.
(a)(b)(c)(d)


## 3.2. Comparison of the ExperimentalT2 Relaxation Rates with  Theoretical Predictions

In order to compare the experimentalT2 relaxation rates with theoretical predictions, the T2 relaxation rates versus volume-weighted (Figure 4(b)) and number-weighted (Figure 4(c)) hydrodynamic sizes of SPION clusters were plotted at 0.1 mM iron concentration. The T2 relaxation rate of water in magnetic particle suspension is predicted by different regimes according to the size of the particle [17]. When particles are small, the T2 relaxation rate will be dominated by water molecular motions (motional average regime, MAR). 1/T2 is proportional to τD(1)1T2=16fvΔω2τD45,
where fv is the volume fraction of magnetic particles, Δω is the difference in angular frequency between the local field experienced by a proton at the equatorial line of the cluster surface and in the bulk, and τD is the translational diffusion time around the cluster, in which (2)Δω=γμ0M3,(3)τD=R2D.γ is the proton gyromagnetic ratio (42.58 MHz/T); μ0 the vacuum magnetic permeability (4π × 10-7 Tm/A); M the particle magnetization.; R the particle radius; Dw the self-diffusion coefficient of pure water at 310 K (3 × 109 m2s-1) [18].When particle size increases to a certain size, theT2 relaxation rate reaches its maximum and is governed by static dephasing regime (SDR):(4)1T2=2π√3fvΔω9.
Above this size, it plateaus. Further size increase would result in decrease of T2 relaxation rate, which can be predicted by echo-limited regime (ELR). In this regime, T2 relaxation rate is proportional to 1/τD and is related to τCP, with  (5)1T2=1.8fv(ΔωτCP)1/3(1.52+fvΔωτCP)5/3τD.
The intersections of SDR with MAR (left edge of SDR, τD1) and ELR ( right edge of SDR, τD2) are, respectively, at (6)τD1=5π√38Δω,(7)τD2=(1.49Δω)(ΔωτCP)1/3(1.52+fvΔωτCP)5/3;
[18].Using the measured magnetization of SPION (66.73 emu/g), the theoretical 1/T2 versus size of the particle (diameter) can be calculated by (1),  (2),  (4), and (5) with τCP = 0.5 ms and [Fe] = 0.1 mM (fv = 1.52 × 10-5 [Fe] [17]). The result was plotted in Figure 4(d) as a line consisting of three straight segments. The experimental 1/T2 data points were also shown in the figure versus number-weighted or volume-weighted hydrodynamic size.According to (6) and (7), the calculated left edge and right edge of SDR are about 30 nm and 160 nm, respectively, which means that SDR is satisfied in this size range and T2 relaxation rate reaches its maximum (73.48 s-1) and keeps unchanged. In our case, the sizes of SPION cluster (number-weighted or volume-weighted) all fall in this size range. However, for CSC, T2 relaxation rates increase (from 25 s-1 to 43 s-1) with cluster size increase, expressing MAR behavior and reach its maximum at size about 85 nm for number-weighted size and 144 nm for volume-weighted size. Moreover, compared with theoretical prediction, the measured T2 relaxation rate is much lower (for both MAR and SDR). This phenomena has also been observed for a styrene-acrylic acid copolymer-coated or dextran-coated iron oxide particles [18]. For LSC, the relaxation rate was also lower than that of theoretical prediction.The possible explanation of the lower experimental value in MAR region may be that size evaluated by DLS with number-weighted or volume-weighted method was overestimated. When TEM-evaluated cluster size, which measures the size in “dry” state and may reflect the size more close to the “real” one, was applied, the measured relaxation rates were more closer to the theoretical line, which was consistent with  the observation of micogel iron oxide particles [19]. However, in the SDR region, replacement with TEM size does not narrow the discrepancy between the experimental values and the theoretical prediction. Comparison of the experimental T2 relaxation rate of a particular SPION formulation with that of theoretical prediction is complicated, which may involve the methods used for particle size evaluation [20, 21], magnetic property, surface coating, and even different formulation of the particles [18, 20]. The low T2 relaxation rate of the studied suspensions of iron-oxide particle clusters may be a general phenomena for all water suspensions of iron-oxide particles, and further experimental and theoretical studies are needed to confirm and understand it [18].


## 4. Conclusion

In this study, we fabricated magnetite nanoclusters with hydrophobic SPION (about 6 nm) and mPEG-PLA amphiphilic copolymer and compared theT2 relaxation rates with theoretical predictions.  We found that the relative amount of mPEG-PLA and SPION for assembly played a crucial role in determining the size and configuration of the clusters. Condense SPION cluster or polymer sphere with surface SPION adhesion could be formed with different amounts of copolymer/SPION.  For condense SPION clusters, T2 relaxivity of the cluster was size dependent. T2 relaxation rates of the clusters were lower than those of theoretical predictions. Compared with DLS method, TEM-evaluated size was more suitable for the comparison of experimental T2 relaxation rate with the theoretical prediction. In this regard, further experimental and theoretical studies are needed in the future to understand it.



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*Source: 152524-2010-09-01.xml*