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Logo of nihpaAbout Author manuscriptsSubmit a manuscriptHHS Public Access; Author Manuscript; Accepted for publication in peer reviewed journal;
J Am Chem Soc. Author manuscript; available in PMC 2010 July 22.
Published in final edited form as:
PMCID: PMC2735876

Gyromagnetic Imaging: Dynamic Optical Contrast Using Gold Nanostars With Magnetic Cores


Plasmon-resonant nanoparticles with optical scattering in the near infrared (NIR) are valuable contrast agents for biophotonic imaging and may be detected at the single-particle limit against a dark background, but their contrast is often limited in environments with high noise. Here we consider gyromagnetic imaging as a dynamic mode of optical contrast, using gold nanostars with superparamagnetic cores. The nanostars exhibit polarization-sensitive NIR scattering, and can produce a frequency-modulated signal in response to a rotating magnetic field gradient. This periodic “twinkling” can be converted into Fourier-domain images with a dramatic reduction in background. We demonstrate gyromagnetic imaging of nanostars inside of tumor cells, using broadband excitation: while their time-domain signals are obscured by incoherent scattering, their Fourier-domain signals can be clearly resolved in less than a second. The gyromagnetically active nanostars do not cause a loss in viability, and can even have a mild stimulatory effect on cell growth.


Colloidal gold nanoparticles are ideal contrast agents for biomedical optical imaging: they are chemically inert and have a long history of clinical use, and can be engineered into anisotropic forms with localized plasmon resonances in the NIR. This region is particularly favorable for the imaging of biological tissues, as shorter wavelengths (< 750 nm) are extinguished by hemoglobin or other endogenous pigments, and longer wavelengths (> 1,300 nm) are strongly attenuated by water.1 Several types of NIR-active Au nanoparticles are being investigated as contrast agents for various biomedical optical imaging modalities, including nanoshells,2,3 nanorods,4,5,6 and nanocages.7 The strong absorption cross sections of these anisotropic nanoparticles can be further employed to introduce localized photothermal effects, uniting optical imaging with potential therapeutic action.8,9,10 This theranostic aspect has emerged as an important paradigm within the nascent but rapidly growing field of nanomedicine.11,12

Plasmon-resonant nanoparticles have been widely used for resonant light scattering, which can be greater by orders of magnitude relative to objects of similar size.13 These can also be employed as contrast agents for imaging modalities based on differential scattering such as optical coherence tomography (OCT),3,5,7 but are challenged by structurally complex specimens with heterogeneous scattering profiles. A similar problem exists for darkfield reflectance microscopies; while single-particle scattering can be easily identified against a clean background, the detection of such particles embedded within a complex scattering environment is more challenging and requires additional mechanisms for signal enhancement, such as confocal imaging.14

Here we present a dynamic mode of optical contrast based on gyromagnetic imaging, in which Au nanostars with superparamagnetic cores are driven by a rotating magnetic field gradient to produce periodic variations in NIR scattering intensities. Magnetically responsive agents have been shown to modulate optical signals in a temporal fashion upon exposure to a moving field gradient.15, 16,17 Magnetomotive scattering contrast has been applied toward in vitro and in vivo OCT imaging, based on the axial displacement of colloidal magnetite particles using a linear field gradient and subsequent modulation in signal amplitude.17,18 Gyromagnetic imaging derives its contrast from rotational instead of translational motion, such that the signal modulation correlates directly with the frequency of magnetic field rotation to produce a characteristic periodic response (Figure 1). The frequency-modulated data can then be converted into Fourier-domain images with substantial noise reduction.19 This brings a unique advantage to optical imaging: scatterers with signals below acceptable detection limits for conventional time-domain imaging can be rapidly elucidated when subjected to gyromagnetic imaging conditions.

Figure 1
Dynamic optical contrast based on gyromagnetic scattering. (a) Schematic of Au nanostar with NIR-active arm and superparamagnetic core in various positions, while gyrating in response to a rotating magnetic field gradient with frequency ω; (b) ...

Experimental Section

Synthesis of gold nanostars with magnetite cores

Fe3 O4 nanoparticles (12.8 ± 0.9 nm) were prepared using the procedure described by Sun and coworkers.20 Core–shell Au@Fe3O4 nanoparticles (15.4 ± 1.3 nm) were prepared according to the procedure described by Wang et al,21 then applied toward the seeded growth of gold nanostars using conditions similar to that described by Nehl et al.22 In a typical synthesis, a freshly prepared dispersion of core–shell Au@Fe3O4 nanoparticles in octyl ether (1.5 mL) was diluted with hexane (2 mL), precipitated by addition of EtOH (5 mL), then filtered and dried in air. The particles (2 mg) were redispersed in 0.5 mL of an aqueous 2.5 mM sodium citrate solution and sonicated for 20 minutes to produce a dark brown suspension. A portion of this seed solution (0.25 mL) was injected into a freshly prepared growth solution prepared from 0.2 M cetyltrimethylammonium bromide (CTAB, 5 mL), 4 mM AgNO3 (0.9 mL), 7.8 mM HAuCl4 (5 mL), and 0.078 mM ascorbic acid (0.3 mL). The reaction mixture was agitated with a vortex mixer and allowed to stand for 15 minutes, resulting in the formation of an iridescent blue solution. The magnetically responsive nanostars exhibited broad extinction bands centered between 800–900 nm, in accord with the distribution of radial plasmon resonances identified within the population of nanostars.22

Nanostars were cleansed of excess surfactant by treatment and partial exchange with 70-kDa sodium polystyrenesulfonate, which has recently been shown to be an effective detergent for removing CTAB from Au nanorods.23 The nanostar dispersions were washed several times with chloroform, and could be functionalized with oligoethyleneglycol-conjugated folic acid derivatives by in situ dithiocarbamate formation, followed by membrane dialysis (MWCO 6000–8000) for 2 h according to a previously described procedure.9,11 Inductively-coupled plasma mass spectrometry (ICP-MS) of folate-functionalized nanostars indicates an Au and Fe content of 547 μg/mL and 14.9 μg/mL, respectively, for a solution at O.D. 1 (λmax > 800 nm).

Gyromagnetic imaging and microscopy

The gyromagnetic behavior of the nanostars was characterized by darkfield microscopy using a linearly polarized broadband excitation source with a longpass filter (λex > 650 nm) or a linearly polarized NIR laser (λex = 780 nm). An inverted optical microscope (IX-71, Olympus) optimized for darkfield imaging under epi-illumination or total internal reflectance conditions was equipped with a high-numerical aperture objective (PlanApo 100×, NA 1.4) and a dual-intensified, Peltier-cooled CCD camera (XR/Turbo-120Z ICCD, Stanford Photonics) capable of collecting pixelated images (640 × 480) at a rate of a 120 fps. A stack of circular NdFeB magnets (0.9 cm diameter, 2 cm total height) was positioned 2 cm from the axis of an electric stirring motor, which was mechanically decoupled from the microscope stage and suspended over the imaging plane with a clearance of 0.5 cm (Scheme S1, Supporting Information). Magnetic field strengths were measured using a benchtop magnetometer (455 DSP, Lakeshore Cryotronics) equipped with a transverse Hall probe, which was placed in the imaging plane while exposed to rotating magnetic field gradients. An axial field strength (Bz) of 80 G was measured at the focal point, regardless of rotor speed.

Fourier-domain image analysis

Power spectra were generated using Origin 8.0. Fourier-domain images were generated in 16-bit format using an open-source image processing and analysis program (ImageJ 1.41m) with a Fourier transform plugin. The source code was modified to include background subtraction prior to the transform, using the mean intensity of 9 pixels (3 × 3) in the upper left corner of each image. Peak signal-to-noise ratio (SNR) is defined in decibels as


where Ans and Abk are the mean pixel values representing peak signal and background (2 and 1054 pixels, respectively) and σbk is the standard deviation of Abk.

Cell culture and viability assay

KB cells (derived from a nasopharyngeal carcinoma) were cultured in folate-deficient media to induce overexpression of the cognate receptor. For TEM analysis, cells were fixed under microwave conditions using 2% glutaraldehyde in 0.1 M cacodylate buffer (pH 7.4), stained with 1% OsO4 and 1.5% K3Fe(CN)6, and embedded in an agarose gel for sectioning and dehydration. For MTT assays and confocal microscopy, highly concentrated suspensions of folate-conjugated nanostars (initial O.D. 8, ~4.4 mg/mL) were added to plates containing KB cells to a final concentration of 10 μg/mL, then incubated for 12 hours at 37 °C in a 5% CO2 atmosphere. MTT assays (N=20) were run according to a standardized procedure,23 using a protective film to prevent evaporation-induced losses in volume and with corrections for nanostar extinctions at the reader wavelength (570 nm). Student t-tests were conducted using two-tailed probability values.

Results and Discussion

Magnetically responsive nanostars were prepared by a seeded growth method, starting from core–shell Au@Fe3O4 nanoparticles (see Experimental Section). This procedure yielded multi-armed, polycrystalline Au nanostars with 13-nm Fe3O4 cores and an average span of 100 nm (Figure 2a,b). Optical extinction spectroscopy of an aqueous dispersion of nanostars produced bimodal resonance bands in the visible and NIR region; the broad linewidths reflect a distribution of resonances due to structural heterogeneity (Figure 2c). Earlier spectroscopic analyses of single nanostars by Hafner and coworkers revealed well-defined NIR resonances with narrow linewidths and polarization-dependent scattering, correlated with the dipolar longitudinal (i.e. radial) plasmon modes of nanostar arms aligned with polarized light.22 This is in accord with our observations: A statistical analysis of 108 nanostars on a glass substrate indicated that 95% of these produced polarization-sensitive scattering when responding to a rotating magnetic field gradient (Figure S1 and Table S1, Supporting Information).

Figure 2
(a,b) TEM images of Au nanostars with superparamagnetic cores (bar=50 nm), with approximate position of Fe3O4 core outlined by dashed circle; (c) optical extinction spectrum.

Gyromagnetic contrast is achieved by synchronizing the magnetic moment with polarized excitation or emission. In this regard, anisotropic nanoparticles such as Au nanostars are excellent candidates, as they have recently been shown to support polarization-dependent scattering at NIR frequencies.22 By subjecting Au nanostars with magnetic cores to a low-strength, rotating magnetic field gradient, we could generate a periodic scintillation (twinkling) at pulse rates defined by the driving frequency. The dynamic scattering properties of individual nanostars were characterized by darkfield microscopy using a polarized broadband excitation source with a longpass filter (λex > 650 nm), a modified stirring plate with an adjustable rotor frequency ω (up to 4.8 rps), and a high-speed video camera for real-time analysis (see Experimental Section). Nanostars were adsorbed electrostatically onto coated glass substrates, then imaged under darkfield conditions using an oil-immersion objective while subjected to a rotating magnetic field gradient. The nanostars responded freely to the rotating field gradient to produce a periodic modulation in NIR scattering amplitude (Figure 3a), but were essentially stationary with respect to translation (Movies S1 and S2, Supporting Information). The period of the gyromagnetic response scaled linearly with driving frequency ω, indicating that the magnetic moment of the superparamagnetic Fe3O4 core provided sufficient torque (τ = m × μ0H, where m is the magnetic moment at H) to overcome frictional drag.

Figure 3
Gyromagnetic imaging of Au nanostars. (a) Series of polarized scattering images of a single nanostar illuminated under darkfield conditions (λex>650 nm) in the presence of a rotating magnetic field gradient (4.7 Hz, B=80 G); (b) modulation ...

Fourier transform of the gyromagnetic signals from individual nanostars revealed a signature frequency response at 2ω, corresponding to the rate at which the radial plasmon resonance aligned with the polarization axis (Figure 3b,c). This periodic scattering provides the basis for enhanced optical contrast via frequency-domain imaging: Fourier analysis of the pixelated frames produces a power density map with maximum signal intensity at 2ω, whereas off-resonant frequencies (Δω ≥ 0.1 Hz) generate little to no contrast (Figure 3d). Unlike other forms of Fourier-domain imaging which are based on spectroscopic discrimination,19 the frequency component in gyromagnetic imaging is generated by an external magnetic field gradient and thus orthogonal to the optical input frequency.15

While the 2ω signal is characteristic of gyromagnetic imaging, a significant fraction of nanostars also feature the fundamental mode (ω) or higher-order harmonics (4ω) in their power spectra (Figure S2, Supporting Information). Nanostars with significant ω modulation typically also display the 2ω mode but may exhibit an asymmetric scattering response every 180 degrees, possibly caused by an uneven canting of the rotation axis relative to the image plane. Gyromagnetic signals at higher harmonics are most likely generated by perturbations in angular velocities due to interactions between nanostars and their local environments, such as periodic bumps against nearby objects during gyration.

Gyromagnetic anisotropies are also evident in the dynamic scattering response of “tethered” nanostars that are loosely attached to the polymer-coated substrate, and exhibit a translational orbit in response to the rotating magnetic field gradient (Figure 4). Spatiotemporal mapping of the particles reveals orbital trajectories whose radii vary commensurately with ω, presumably due to the change in centripetal force (Figure 4a and Web-Enhanced Object 1). The elastically tethered nanostars also produce a temporal modulation in scattering that correlates directly with orbital motion, allowing us to further examine the basis for nanostar twinkling. In the case above, the complete spatiotemporal and intensity modulation of the tethered nanostar can be described as a harmonic function f(x,y,A,t) and rendered in 3D as a lissajous, with the upper and lower values of x coinciding with the relative maxima for A (Figure 4b). Fourier analysis of the spatiotemporal domain in one dimension (f(x,t) or f(y,t)) produces a major peak corresponding to the driving frequency ω (Figure 4c,d), whereas the time-dependent amplitude function f(A,t) is characterized by a bimodal resonance at ω and 2ω (Figure 4e,f). Fourier-domain mapping of frequency-selective responses reveal two well-resolved signals at ω corresponding to the bimodal scattering maxima in Figure 4b, but a single peak at 2ω (Figure 4g,h). A linescan analysis reveals the latter to be localized in between the ω-mode maxima, indicating that the second-harmonic signal is generated by the spatial overlap of ω-selective peaks with a 180° phase relation (Figure 4i). This confirms that despite their more complex trajectories, the gyromagnetic signals of the tethered nanostars can produce similar frequency-domain images as those which appear to have a constant position.

Figure 4
Gyromagnetic scattering from tethered nanostar (λex > 650 nm). (a) Trajectory in x,y-plane at ω=0, 2.5, and 4.8 Hz; (b) spatiotemporal distribution of nanostar versus scattering amplitude; (c) nanostar position along x (open black ...

To evaluate gyromagnetic imaging as a mechanism for enhancing contrast in biological settings, the nanostars were internalized by tumor cells at a low particle density and imaged by polarized darkfield microscopy.24 Nanostars were introduced to KB cells both in unfunctionalized (CTAB-depleted) form and as folic acid conjugates, the latter typically resulting in higher uptake efficiencies based on receptor-mediated endocytosis.25 Cells incubated with unfunctionalized nanostars for 12 to 24 hours were examined by TEM, which revealed the nanostars to be compartmentalized as clusters within vacuoles, even at low loading levels (Figure 5).

Figure 5
TEM image (Philips CM-100, 80 kV, ×28500) of unmodified nanostars internalized by KB cell after 24-h incubation (bar=500 nm).

KB cells with low particle loadings were exposed to a polarized NIR laser beam (λex=780 nm) for selective excitation of the internalized nanostars, whose scattering could be visualized under both conventional (time-domain) and gyromagnetic imaging conditions (Figure 6a–c). Selective Fourier-domain imaging maximizes the peak signal intensity relative to the average time-domain signal, while simultaneously reducing background noise. Fourier transform of gyromagnetic signals acquired over 800 frames (6.67 seconds) produced a 2ω-selective image with peak SNR on the order of 2000 (66 dB) and peak signal-to-background ratio (SBR) in excess of 104. In comparison, the averaged time-domain image taken from the same data produced peak SNR and SBR values on the order of 110 (41 dB) and 200, respectively. Fourier-domain imaging also provides sharper resolution, and reveals at least two groups of signals within the cluster (Figure 6c,d). These can be attributed to nanostars with independent gyromagnetic activities, as deduced by the phase difference in their frequency-modulated scattering amplitudes (Figure 6e).

Figure 6
Gyromagnetic detection of Au nanostars in tumor cells, using monochromatic laser excitation (λex=780 nm). (a) Polarized scattering from nanostars (red) in KB cell, imaged in transmission mode (grey, bar=5 μm); (b) time-averaged image of ...

Gyromagnetic imaging has the unique advantage of elucidating weak signals embedded within a complex and highly scattering medium. Switching the excitation source from a monochromatic NIR laser diode to a halogen lamp with a longpass filter (λ>650 nm) reduces the signal strength and also produces a substantially noisier background, to the extent that the nanostars can be outshone by other scattering bodies (Figure 7a,b). Despite this, the magnetically responsive nanostars could be unambiguously identified by gyromagnetic signaling. In the example shown (800 frames acquired over 6.67 seconds, 2ω = 9.4 Hz), Fourier-domain imaging provided a significant increase in peak intensity at the characteristic 2ω response while effectively suppressing signals from invariant or aperiodic scatterers (Figure 7c,d); the gyromagnetic signals had peak SNR and SBR values of 28.1 dB and 36.3, respectively. In comparison, time-averaged signals from the same dataset exhibited peak SNR and SBR values of 15.9 dB and 2.0, well below an acceptable level of image quality.

Figure 7
Gyromagnetic detection of Au nanostars in tumor cells, using broadband excitation (λex>650 nm). (a,b) Time-domain scattering images from nanostars in KB cell, with enlarged view of inset (bar=2 μm); (c) frequency-domain image (2ω=9.4 ...

We have found gyromagnetic imaging to yield reproducibly detectable signals (SNR > 20 dB, SBR > 12) in just 4 cycles, enabling nanostars to be clearly resolved in under one second (Figures 7e).

It is important to note that the internalized nanostars do not cause any significant loss in cell viability at the concentrations and driving frequencies used in this study, despite their spicular nature. KB cells incubated with folate-conjugated nanostars (10 μg/mL) for 12 hours at 37 °C were observed to have accumulated roughly 103 nanostars, estimated from two-photon excited luminescence (TPL) signals using multiphoton confocal microscopy (Figure 8a).4,9,11 Cells with internalized nanostars were exposed to a 80-G magnetic field rotating at 4.7 Hz for 2 hours, then incubated for another 24 hours prior to a cell proliferation assay based on mitochondrial activity (MTT oxidation). Cells that were loaded with nanostars and subjected to rotating magnetic field gradients were just as viable as those not exposed to magnetic fields (p=0.999, df=19, Figure 8c). In fact, the uptake of nanostars correlated with significantly higher rates of cell proliferation, relative to that of cell populations without nanostars (p=0.005, df=19). Treating fixed KB cells with fluorescent anti-α-tubulin revealed the TPL signals to be closely associated with the microtubule network (Figure 8b), suggesting the possibility that the nanostars may impart some influence on cell growth through cytoskeletal filaments. While further studies are needed to elucidate this stimulatory effect, this study clearly shows that the uptake of gyromagnetically active nanostars does not lead to cell injury, even with exposure to low-frequency magnetic field gradients.

Figure 8
(a,b) Confocal TPL images of internalized nanostars in KB cells (red), in close association with microtubules (green), visualized by immunohistochemical labeling (bar=2 μm for a, 1 μm for b). (c) Results of MTT assay, indicating that the ...

In summary, plasmon-resonant nanostars with superparamagnetic cores can support a dynamic optical imaging modality, based on their gyration in response to a rotating magnetic field gradient. Polarized NIR excitation produces a periodic scattering signal with a characteristic 2ω response, which can then be converted into Fourier-domain images with improvements in SNR of up to 25 dB, relative to time-domain images. Further enhancement in image quality is possible through the use of window functions, or simply by increasing the acquisition time. The large enhancements in optical contrast are comparable to that afforded by modalities using multiphoton confocal microscopy, but the gyromagnetic scattering signals are collected using conventional microscope optics. These studies demonstrate that gyromagnetic signaling provides a simple yet practical mechanism for generating optical contrast inside of cells or other complex media, one that is orthogonal and complementary to other methods of signal modulation or noise reduction.

Supplementary Material





The authors gratefully acknowledge the National Institutes of Health for financial support (A.W.: EB001777; K.R.: GM083296), Dr. Deborah Sherman for TEM sample preparation and analysis, Jenny Sturgis for assistance with confocal fluorescence microscopy, and Prof. Stephen Boppart, Dr. Amy Oldenburg, (Univ. of Illinois) and Prof. Charles Bouman (Purdue Univ.) for helpful discussions. ImageJ software can be obtained free of charge at

Supporting Information available. Schematic of experimental setup, distribution of frequency selections, SNR values in the gyromagnetic responses of nanostars, and movies of nanostars gyrating at 4.8 Hz. This material is available via the Internet at


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