SYSTEMS AND METHODS FOR POLARIZED NUCLEAR IMAGING AND SPECTROSCOPY

Abstract

Polarized nuclear imaging and spectroscopy systems and methods are disclosed. In some embodiments, nuclei of a radioactive substance are polarized such that the spins of the nuclei are oriented in a specific direction, to generate a polarized radioactive tracer with anisotropic gamma ray emission. The radioactive substance is selected such that the degree of anisotropy is enhanced. A tracer is introduced into a living subject for delivery to a target area of interest in the subject. The tracer is delivered such that nuclear spin relaxation of the tracer is inhibited during transport of the tracer to the target area of interest. Gamma rays from the gamma ray emission are detected, and based on the detected gamma rays and properties associated with the anisotropic gamma ray emission, imaging data and/or spectroscopic data are obtained that are associated with the tracer in the subject. In some embodiments, a radioactive substance is delivered to a target area of interest in the subject and the nuclei of the radioactive substance are polarized following delivery of the radioactive substance to the target area of interest, such that the spins of the nuclei are oriented in a specific direction, to generate a polarized radioactive tracer with anisotropic gamma ray emission. Gamma rays are detected from the gamma ray emission, and based on the detected gamma rays and properties associated with the anisotropic gamma ray emission, imaging data and/or spectroscopic data are obtained that are associated with the tracer in the subject.

Description

BACKGROUND

A wide variety of diagnostic techniques exist in the practice of medicine, including imaging modalities such as X-ray tomography, magnetic resonance imaging (MRI), and various nuclear-medicine imaging techniques. Molecular imaging techniques can use a tracer that is introduced to the body of a subject and selectively absorbed by parts of the body in which specific physiological processes are occurring. MRI can provide high detail, particularly of soft tissue. This technique may also be tailored so that contrast reflects morphology and also function and physiological processes. MRI can have the drawback, however, that a relatively large number of nuclear spins is needed to get reasonable signal-to-noise (SNR). Nuclear-medicine studies can utilize a variety of radioactive tracers that are explicitly introduced into the subject. These tracers can be chemically attached to various molecules that are selectively absorbed by the body, making it possible to probe specific processes or potential pathologies within the body. Detection can be accomplished through gamma-ray detection, and imaging may rely on the use of gamma-ray cameras with limited resolution.

It is with respect to these and other considerations that the various embodiments described below are presented.

SUMMARY

Some aspects of the present disclosure relate to systems and methods for polarized nuclear imaging and spectroscopy.

In one aspect, the present disclosure relates to a method for examining a target area of interest of a living subject. In one embodiment, the method includes polarizing nuclei of a radioactive substance such that the spins of the nuclei are oriented in a specific direction, to generate a polarized radioactive tracer with anisotropic gamma ray emission. The radioactive substance is selected such that the degree of anisotropy is enhanced. The method also includes introducing the tracer into a living subject for delivery to a target area of interest in the subject. The tracer is delivered such that nuclear spin relaxation of the tracer is inhibited during transport of the tracer to the target area of interest. The method further includes detecting gamma rays from the gamma ray emission, and obtaining, based on the detected gamma rays and properties associated with the anisotropic gamma ray emission, imaging data and/or spectroscopic data associated with the tracer in the subject.

In another aspect, the present disclosure relates to a method for examining a target area of interest of a living subject, and in one embodiment the method includes delivering a radioactive substance to the target area of interest in the subject. The method also includes polarizing nuclei of the radioactive substance, following delivery of the radioactive substance to the target area of interest, such that the spins of the nuclei are oriented in a specific direction, to generate a polarized radioactive tracer with anisotropic gamma ray emission. The method further includes detecting gamma rays from the gamma ray emission, and obtaining, based on the detected gamma rays and properties associated with the anisotropic gamma ray emission, imaging and/or spectroscopic data associated with the tracer in the subject.

In another aspect, the present disclosure relates to a system for examining a target area of interest of a living subject. In one embodiment, the system includes a polarizing system configured to polarize a radioactive substance such that the spins of the nuclei are oriented in a specific direction, to generate a polarized radioactive tracer with anisotropic gamma ray emission. The radioactive substance is selected such that the degree of anisotropy is enhanced. The system also includes a delivery system configured to introduce the tracer into a living subject for delivery to a target area of interest in the subject. The tracer is delivered such that nuclear spin relaxation of the tracer is inhibited during transport of the tracer to the target area of interest. The system further includes at least one gamma detector configured to detect gamma rays from the gamma ray emission. The system also includes a data acquisition system configured to obtain, based on the detected gamma rays and properties associated with the anisotropic gamma ray emission, imaging data and/or spectroscopic data associated with the tracer in the subject.

In another aspect, the present disclosure relates to system for examining a target area of interest of a living subject, and in one embodiment the system includes a delivery system for delivering a radioactive substance to the target area of interest in the subject. The system also includes a polarizing system configured to polarize nuclei of the radioactive substance, following delivery of the radioactive substance to the target area of interest, such that the spins of the nuclei are oriented in a specific direction, to generate a polarized radioactive tracer with anisotropic gamma ray emission. The system further includes at least one gamma ray detector configured to detect gamma rays from the gamma ray emission, and a data acquisition system configured to obtain, based on the detected gamma rays and properties associated with the anisotropic gamma ray emission, imaging and/or spectroscopic data associated with the tracer in the subject.

Other aspects and features according to the present disclosure will become apparent to those of ordinary skill in the art, upon reviewing the following detailed description in conjunction with the accompanying figures.

BRIEF DESCRIPTION OF THE DRAWINGS

Reference will now be made to the accompanying drawings, which are not necessarily drawn to scale.

FIG. 1a is an image of roughly 1 mCi of ^131mXe obtained by combining magnetic-resonance techniques with the detection of gamma rays. The image is a 2D projection comprising 32×32 pixels, each 3 mm by 3 mm, and interpolated to 64×64 pixels for display.

FIG. 1b shows a sealed glass cell, shaped like the Chinese character for “middle”, in which a sample of ^131mXe is contained.

FIG. 2a is a polar plot of the directional emission probability (eq. 1) as a function of the angle θ_r with respect to the direction of orientation, for an ensemble of ^131mXe nuclei with polarization of 0%, 70%, and 100% respectively.

FIG. 2b is a 3D representation of eq. 1 for 100% polarized ^131mXe nuclei oriented along an applied magnetic field B. The count rate is minimum in the longitudinal detector and maximum in the transverse detector.

FIG. 2c graphically depicts the directional emission probability of 100% polarized ^131mXe nuclei oriented in the transverse (x-y) plane. The spin orientation, and thus the probability distribution, rotates about the z-axis at the Larmor frequency ω_L=γB. The count rate is maximum in the longitudinal detector and oscillates between minimum and maximum in the transverse detector with a frequency of 2ω_L.

FIG. 3a illustrates the large (1.3-m diameter) Helmholtz coils that provided a static magnetic field along the z axis, the smaller (48-cm diameter) coils that provided an RF magnetic field along the y axis, and the transverse and longitudinal gamma detectors that were aligned with the x and z axes respectively. For imaging, two-dimensional spatial encoding along the x and y axes was accomplished using a gradient coil¹⁵ (not shown). Circularly polarized laser light propagating along the z axis was used to polarize the ^131mXe samples.

FIG. 3b is a diagram showing the pulse sequence used to make the image shown in FIG. 1a.

FIG. 4a is a plot of the counts per time bin measured in the transverse detectors while the polarized ^131mXe precessed in the x-y plane, analogous to a “free induction decay” in NMR. The raw data shown have been mixed down to a lower frequency to make the oscillations obvious at this time scale.

FIG. 4b is a plot of the counts (per 20 ms time bin) versus time in the longitudinal detector during Rabi oscillations, where the data were processed in a manner similar to those in FIG. 4a, except the time-averaged count rate has been subtracted from the down-converted signal.

FIG. 4c is a plot of the Fourier transform of the (unmixed) data shown in FIG. 4b. To obtain adequate statistics, these data were accumulated over multiple polarization cycles.

FIGS. 5a-5c illustrate the apparent motional narrowing in frequency spectra from Rabi oscillations, wherein the spectra are shown under three conditions: FIG. 5a is a plot under the condition of maximum RF field homogeneity, FIG. 5b is a plot under the condition of a somewhat inhomogeneous RF field, and FIG. 5c is a plot under the condition of even greater RF field inhomogeneity. RF field inhomogeneity was increased by increasing the separation of the RF coil pair, which is normally in a Helmholtz configuration. The measurements in FIG. 5b and FIG. 5c were acquired after lowering the bottom coil by 1 and 2 inches, respectively, without moving the upper coil or the sample. The splitting that is clearly visible in FIG. 5a gets progressively less pronounced in FIG. 5b and FIG. 5c. This result is consistent with the phenomenon of motional narrowing.

FIGS. 6a-6b are exemplary k-space data from polarized nuclear imaging, wherein FIG. 6a is the real part of k-space data from the longitudinal detector and FIG. 6b is the imaginary part of k-space data from the longitudinal detector, and wherein FIGS. 6a-6b result from one complete set of imaging data. The data shown in FIGS. 6a-6b were used to produce the image shown in FIG. 7a.

FIGS. 7a-7c are exemplary images of the “middle” cell (shown in FIG. 1b) from individual detectors, wherein each of FIGS. 7a-7c represent two complete averages, and wherein FIG. 7a is an image from the longitudinal detector with the highest analyzing power, FIG. 7b is an image from the transverse detector pointing at the sample from the left, and FIG. 7c is an image from the transverse detector pointing at the sample from the right.

FIG. 8 shows an example of sealed glass cells used for studying gas-phase and dissolved phase images of ¹²⁹Xe and ⁸³Kr.

FIG. 9 depicts the frequency spectrum of ¹²⁹Xe in the apparatus, which depicts well separated peaks for gas-phase and dissolved-phase signals.

FIG. 10 shows four images of ¹²⁹Xe obtained using a cell of the configuration shown in FIG. 8. The first two images (left) are of gas-phase and dissolved-phase ¹²⁹Xe for the case in which no agitation was used. The second (right) images are of gas-phase and dissolved phase ¹²⁹Xe for the case where agitation was used. In both cases, the interface between the gas and oil is clearly visible. It is also clear that, in the two dissolved-phase images, the ¹²⁹Xe only penetrated the very top levels of the oil unless agitation was used.

FIG. 11a shows a spectrum from ⁸³Kr, where the gas-phase and dissolved-phase peaks are not able to be distinguished.

FIG. 11b shows a fully phase encoded image of the sample cell, shown without distinguishing between the gas-phase and dissolved-phase portions of the signal.

FIG. 12 is a diagram of a pulse sequence for acquiring PNI data using B₁ gradients and cosine-transform reconstruction.

FIG. 13 show sample simulation results, wherein (a) shows an assumed spin density sampled on a 16-by-16 grid; (b) shows the k₁-space data matrix generated using our simulation of a 16-line acquisition with a total imaging time of 10 seconds, for a 10 mCi sample of ^131mXe; (c) shows the reconstructed image; and (d) shows the SNR improvement if a 100 mCi sample is assumed.

FIG. 14 is a computer architecture diagram showing a general computing system capable of implementing some aspects of the present disclosure in accordance with one or more embodiments.

DETAILED DESCRIPTION

Some aspects of the present disclosure relate to systems and methods for polarized nuclear imaging and spectroscopy. Although example embodiments of the present disclosure are explained in detail herein, it is to be understood that other embodiments are contemplated. Accordingly, it is not intended that the present disclosure be limited in its scope to the details of construction and arrangement of components set forth in the following description or illustrated in the drawings. The present disclosure is capable of other embodiments and of being practiced or carried out in various ways.

It must also be noted that, as used in the specification and the appended claims, the singular forms “a,” “an” and “the” include plural referents unless the context clearly dictates otherwise. Ranges may be expressed herein as from “about” or “approximately” one particular value and/or to “about” or “approximately” another particular value. When such a range is expressed, other exemplary embodiments include from the one particular value and/or to the other particular value. As used herein, “about” means within 20 percent or closer of a given value or range.

By “comprising” or “containing” or “including” is meant that at least the named compound, element, particle, or method step is present in the composition or article or method, but does not exclude the presence of other compounds, materials, particles, method steps, even if the other such compounds, material, particles, method steps have the same function as what is named.

In describing example embodiments, terminology will be resorted to for the sake of clarity. It is intended that each term contemplates its broadest meaning as understood by those skilled in the art and includes all technical equivalents that operate in a similar manner to accomplish a similar purpose. It is also to be understood that the mention of one or more steps of a method does not preclude the presence of additional method steps or intervening method steps between those steps expressly identified. Steps of a method may be performed in a different order than those described herein without departing from the scope of the present disclosure. Similarly, it is also to be understood that the mention of one or more components in a device or system does not preclude the presence of additional components or intervening components between those components expressly identified.

Some references, which may include patents, patent applications, and various publications, are cited in a reference list and discussed in the disclosure provided herein. The citation and/or discussion of such references is provided merely to clarify the description of the present disclosure and is not an admission that any such reference is “prior art” to any aspects of the present disclosure described herein. All references cited and discussed in this specification are incorporated herein by reference in their entireties and to the same extent as if each reference was individually incorporated by reference.

As discussed herein, a “subject” or “patient” may be any applicable human, animal, or other organism, living or dead, or other biological or molecular structure or chemical environment, and may relate to particular areas of the subject (e.g., biological site), which may be referred to herein as an “area of interest”, “target area”, or “target area of interest”. It should be recognized that while subjects described in some implementations of various aspects of the present disclosure described herein are biological or chemical in nature, some aspects of the present disclosure may be implemented to examine a variety of non-living subjects.

One or more data acquisition or data collection steps as described herein in accordance with one or more embodiments may include acquiring, collecting, receiving, or otherwise obtaining data such as imaging data and spectroscopy data corresponding to a subject. By way of example, data acquisition or collection may include acquiring data via a data acquisition device, receiving data from an on-site or off-site data acquisition device or from another data collection, storage, or processing device.

The following description provides a further discussion of certain aspects of the present disclosure in accordance with example embodiments. The discussion of some example implementations also refers to corresponding results which may include experimental data. Experimental data presented herein is intended for the purposes of illustration and should not be construed as limiting the scope of the present disclosure in any way or excluding any alternative or additional embodiments.

A discussion of some aspects and embodiments of the present disclosure that relate to polarized nuclear imaging and spectroscopy will now be described along with the corresponding FIGS. 1-11

Since Rabi first demonstrated nuclear magnetic resonance (NMR)⁵, it has been understood that radio-frequency oscillating magnetic fields (RF) could be used to manipulate the orientation of nuclear spins. It is also well understood that the emission of gamma rays from oriented radioactive nuclei can be anisotropic^6-8. Combining these phenomena, the application of RF on or near resonance has provided a useful tool for nuclear-physics studies involving anisotropic gamma emission, particularly for cases in which the nuclei were oriented using optical pumping techniques^9-12. For example, such techniques have been used to precisely determine the magnetic moments of various radioactive nuclei including ^131mXe¹².

As will be discussed further with respect to aspects and embodiments of the present disclosure herein, anisotropic gamma emission has importance well beyond nuclear-physics studies and can provide the basis for powerful methods of signal detection for imaging and spectroscopy of radioactive nuclear tracers. Indeed, since even single gamma rays can be detected, the number of nuclei needed for meaningful measurements is vastly fewer than required for conventional NMR signal detection. Using, in part, techniques based from pulsed NMR¹³, direct observations of nuclear spin precession are presented, as well as a form of spectroscopy. Further, an imaging modality referred to herein as polarized nuclear imaging (PNI) enables the visualization of tiny quantities of a nuclear tracer. Because PNI uses spatial-encoding techniques similar to MRI, the achievable image resolution is much finer than is currently practical in conventional nuclear imaging, which may use a collimated scintigraphic array (a “gamma camera”) to determine the spatial origin of the detected gamma emissions³.

FIG. 1a provides a high-resolution PNI image of ˜4×10¹³ laser-polarized ^131mXe atoms contained within the glass cell shown in FIG. 1b. The anisotropic emission of gamma rays from oriented nuclei can be characterized via the expression

W(θ_r)=α₀+α₂ cos(2θ_r)+α₄ cos(4θ_r)+ . . . ,   (1)

where W(θ_r) is the relative probability that a given gamma ray will be emitted at an angle θ_r with respect to the direction of orientation. The values of the coefficients α_n depend on the particular isotope and gamma transition being observed, as well as the degree of nuclear polarization'. FIG. 2a is a plot of Eq. 1 for the 164 keV gamma transition of ^131mXe, for polarizations of 0%, 70% and 100% respectively. Although ^131mXe (spin 3/2) was used, there are many candidate tracers that may be utilized. However, only radioactive nuclei with spin >½ display the anisotropic gamma emission that is central to the detection scheme of some disclosed embodiments.

Key elements of an imaging apparatus according to certain embodiments of the present disclosure are illustrated in FIG. 3a. In a particular implementation, large Helmholtz coils provided a holding field of 0.7 mT along the z axis, and smaller Helmholtz coils provided RF along the y axis. Three NaI detectors, one with a longitudinal orientation along the z axis and two with transverse orientations along the x axis, were used for gamma detection. Before imaging, spectroscopic measurements were performed in which gamma detection was used to directly observe polarized ^131mXe nuclear spin precession. Initially, with unpolarized spins, the count rates were nominally equal in all three detectors. The spins were then polarized along the z axis using the technique of spin-exchange optical pumping, and the buildup of polarization was monitored by observing a decrease (increase) in the count rate of the longitudinal (transverse) detector (FIG. 2b).

Once the polarization reached ˜60%, which took 90-100 seconds (roughly three e-folding times), the spins were tipped into the transverse plane using a π/2 RF pulse (FIG. 2c). The spin orientation, and therefore the anisotropic emission distribution W(θ_r) then began to precess about the magnetic field, resulting in an oscillating count rate in the transverse detectors. This oscillation, which is analogous to a free-induction decay in NMR, is shown in FIG. 4a. The transverse coherence time was observed to be ˜200 ms.

With conventional electromagnetic signal detection, NMR measurements can only be performed when the spins are actively precessing in the transverse plane. A transverse coherence time of 200 ms, however, limits the fractional spectroscopic resolution that can be achieved at the low magnetic field being used. The inventors used an alternative approach offering longer coherence times. When polarized spins are subjected to a transverse resonant RF field B₁, they precess about B₁ at a rate proportional to the RF field strength, causing the polarization along the longitudinal axis to oscillate. Typically, these so-called Rabi oscillations¹⁶ are not directly observed. With gamma detection, however, it is quite natural to observe Rabi oscillations in the count rates of a longitudinal detector.

FIG. 4b shows the count rate in the longitudinal detector during Rabi oscillations. These longitudinal oscillations remained coherent for several seconds, which is an order of magnitude longer than the transverse coherence time seen in FIG. 4a. One or more “beat” frequencies are clearly visible, and the Fourier transform of the signal, shown in FIG. 4c, reveals at least two distinct frequency peaks. The observed data are reminiscent of those obtained by Wu et al.¹⁷, who studied Rabi oscillations in a sample of nonradioactive ¹³¹Xe (spin 3/2). Wu et al. also observed multiple peaks, and demonstrated that they resulted from coherent quadrupole interactions with the glass walls of their anisotropic sample container.

Because the inventors' “middle” cell was also highly anisotropic, and because the magnetic field inhomogeneities in the system were not large enough to explain the magnitude of the splitting, it was gathered that quadrupole interactions were causing the multiple peaks in the spectrum. The inventors were able to make the splitting disappear by intentionally increasing the RF field inhomogeneity (FIGS. 5a, 5b, and 5c). These data demonstrate the ability to resolve fine NMR spectral features using gamma detection.

Next, it will be discussed how the image shown in FIG. 1a was obtained. As is the case in MRI, data were acquired for points in “k space”, where k represents a spatial frequency of the polarized spin distribution². Before each data-acquisition cycle, the inventors polarized the ^131mXe sample to ˜65%. The pulse sequence shown in FIG. 3b was then executed, which began with a π/2 RF pulse followed by the application (for a time τ) of a magnetic-field gradient described by

{right arrow over (G)}=(∂B_z/∂x){circumflex over (x)}+(∂B_z/∂y)ŷ  (2)

that provided sensitivity to a particular point in k space according to the relation

2π{right arrow over (k)}≡2γ{right arrow over (G)}τ.   (3)

Notable is the additional factor of 2 compared to the definition of k in MRI². In principle, the resulting time-varying count rates in the transverse detectors contain the information required for image reconstruction, analogous to a fully phase-encoded image acquisition in MRI. With a transverse coherence time of 200 ms, however, the inventors were not able to accumulate enough statistics to resolve the amplitude and phase of these oscillations before the spins lost their coherence.

To overcome this limitation, the inventors developed an alternate approach which has no analog in MRI, for measuring the required spatial frequency components. A second π/2 pulse was applied after a time t_delay, which rotated the spins from the x-y plane into the y-z plane. As detailed more fully in the “Methods” section to follow, the resulting non-oscillating count rate in the longitudinal detector (whose coherence time is not limited by transverse spin dephasing) provided the required imaging information. For each point in k space, this cycle was executed twice using two values of t_delay that differed from one another by ⅛ of the Larmor period. The resulting count rates, each of which were recorded for six seconds, are referred to as the real and imaginary spin moments, S(k) and S_ℑ(k) respectively. Extending the acquisition window beyond six seconds did not significantly improve image quality, most likely due to T₂ relaxation. Next, the following function is defined:

A({right arrow over (k)})=S({right arrow over (k)})+iS_ℑ({right arrow over (k)})−A₀   (4)

where A₀ is a complex constant. For the appropriate choice of A₀, it can be shown that

A({right arrow over (k)})∝∫ρ({right arrow over (r)})e^{i{right arrow over (k)}·{right arrow over (r)}}d³{right arrow over (r)}  (5)

where ρ(r) is the density of polarized spins as a function of position r. By taking the Fourier transform of (5), the density distribution ρ(r) can be determined. This approach allows for the construction of an image using MRI-based spatial encoding without directly observing spin precession in the transverse plane, which is a unique characteristic of PNI with gamma detection.

The present disclosure, in accordance with certain embodiments, has potentially broad implications for research involving both biological and non-biological systems. In nuclear physics, polarization techniques have already been used for determining fundamental properties of radioactive nuclei^9-12, and the pulsed NMR techniques presented here can extend this research to include new observables and shorter-lived isotopes. Also, NMR is used to probe a wide variety of physical systems, and the present disclosure opens the possibility of using NMR techniques in situations where signal-to-noise ratio was previously a limitation. There are also implications for ongoing biomedical research that utilizes conventional magnetic resonance of hyperpolarized nuclei. Laser-polarized non-radioactive noble gases such as ¹²⁹Xe have been used extensively for lung imaging^18,19. Since xenon dissolves readily into blood, it is also possible to image polarized ¹²⁹Xe in other well-perfused organs^20,21. One approach to functionalize ¹²⁹Xe as a biosensor involves trapping the ¹²⁹Xe in a molecular cage tethered to a protein-specific ligand²¹. However, in vivo applications have been limited by the difficulty of polarizing and delivering sufficient quantities of material to distal parts of the body. Isotopes for which gamma detection is possible, however, offer the potential advantage of polarizing and delivering dramatically fewer particles.

There are several challenges involved in moving from in vitro to in vivo studies. Because of the relatively small amount of ^131mXe to work with in the above-described approaches (˜1 mCi, much less than the typical activity used in a nuclear medicine procedure) and the relatively long half-life of this isotope (12 days), the inventors used multiple cycles of polarization and data acquisition to acquire the results. Clinical work may require faster acquisition protocols. A larger (but still medically acceptable) quantity of ^131mXe, together with a detector array with larger solid-angle coverage, may provide an increase in statistical power by a factor of ˜500. As will be discussed more in the Methods section to follow, the shorter-lived isotopes ^79mKr and ^127mXe, both of which have been used previously for conventional nuclear imaging^22,23, may provide an increase in statistical power approaching 25,000.

In addition to considerations on obtaining adequate statistics in an acceptably short time appears possible, another consideration relates to the spin relaxation experienced in vivo by nuclei with spin >½. PNI in the gas phase may be feasible, as non-radioactive ⁸³Kr (spin 9/2) has been successfully used for lung imaging²⁴. In the dissolved phase, the challenge is identifying an agent with sufficiently slow relaxation. Whereas the longitudinal relaxation time (T₁) of ^131mXe in solution has not been studied, the T₁ of the stable isotope ¹³¹Xe (spin 3/2) in solution can be as short as a few milliseconds²⁵, which would be prohibitive. Fortunately, there are well over one hundred known nuclear isomers with sufficiently long half-lives²⁶ that may be polarized using dynamic nuclear polarization (DNP). Under favorable circumstances, nuclei with spin >½ can have T₁ values in solution of up to tens of seconds²⁷, and in the solid state, as high as hundreds of seconds²⁸. Even if direct dissolved-phase imaging proves to be too difficult, encapsulating gas-phase particles in micro-bubbles²⁹ or the aforementioned molecular cages²¹ may provide a basis for accessing biological targets outside the lung. As discussed more in the Methods section, there are a variety of specialized techniques that have been developed for hyperpolarized MRI that can be more effective in the current context. In addition to immediate non-biological applications of polarized nuclear imaging and spectroscopy, opportunities exist for a new class of medical diagnostics through the implementation of various aspects of the present disclosure.

Methods

Sample Preparation

Two different samples were prepared, each comprising a valved Pyrex glass cell containing a quantity of ^131mXe, a mixture of gases and several droplets of Rb. Each cell served as both the vessel in which the ^131mXe was polarized and the sample for the imaging or spectroscopy studies. The cell shown in FIG. 1b, which is shaped like the Chinese character for “middle” and measures roughly 5.5 by 6.5 cm, was used for the PNI and Rabi precession studies (FIGS. 1a, 4b, and 4c). A 2.5 cm diameter sphere was used for the FID measurement (FIG. 4a).

The ^131mXe used in the studies was the decay product of commercially available ¹³¹I. It was received in vials, roughly 10 cm³ in volume, which in addition to ^131mXe contained a mixture of carrier gases (mostly nitrogen) at a pressure of roughly 1 atm. The gas contained in the vial was withdrawn into a syringe and then injected through a rubber septum into a small glass manifold attached to both an expandable bladder (consisting of a small Tedlar bag) and an evacuated valved Pyrex holding cell containing a few droplets of rubidium to act as a getter. The valve on the holding cell was initially closed. With the cell body dipped in liquid nitrogen, the valve was opened, drawing most of the gas from the bladder into the holding cell. The valve was then closed, and the holding cell was warmed to room temperature for several hours to allow the rubidium to combine with any reactive components of the carrier gas such as oxygen and water.

The purified gas was then transferred to a valved sample cell (which contained several droplets of fresh rubidium) by connecting the two cells and subsequently submerging the sample cell in liquid nitrogen. Prior to the transfer, a small quantity of (non radioactive) xenon, on the order of 1 Torr, was introduced to the sample cell to help facilitate the condensation of the trace amounts of ^131mXe. The valve on the sample cell was then closed, and the sample cell was connected to a larger evacuated cell. While the sample cell was kept in liquid nitrogen, the valve was briefly opened to bleed off as much of the carrier gas as possible. This last step may be repeated multiple times with freshly evacuated cells as often as needed. This approach for eliminating the carrier gas was chosen in order to minimize inadvertent releases of ^131mXe to the environment. The final step in preparing the sample cells was to add 150-400 Torr (see below) of N₂ and ˜10 Torr of H₂. The N₂ was added to aid in the optical pumping process⁴. The small amount of H₂ was included to cause RbH to form on the cell's interior wall. RbH coatings have been shown to reduce nuclear spin relaxation in samples of (nonradioactive) ¹³¹Xe, most likely by reducing quadrupole interactions³⁰. The “middle” cell initially contained roughly 1 mCi of ^131mXe and 150 Torr of N₂, and the spherical cell initially contained roughly 0.1 mCi of ^131mXe and 400 Torr of N₂. Additional details about the sample preparation can be found elsewhere³¹.

Experimental Apparatus

The experimental apparatus made use of key components of an existing low-field MRI system that was previously used for conventional MRI of laser-polarized ¹²⁹Xe (Zheng et al.¹⁵). Specifically, the laser system, oven, holding-field coil, RF transmit coil and gradient coils, along with their associated driving electronics, were largely identical to those described in Zheng et al.¹⁵. However, those portions of the previous apparatus related to signal detection were not used for the present study. It should also be emphasized that the number of ^131mXe atoms contained in the PNI phantom was smaller by a factor of roughly 4×10⁶ compared with the number of ¹²⁹Xe atoms imaged in Zheng et al.¹⁵.

Imaging and spectroscopic data were acquired using the three gamma detectors shown in FIG. 3a. Each gamma detector consisted of three parts: a sodium-iodide (NaI) crystal, a light guide, and a photomultiplier tube (PMT). Each NaI crystal (2-inch diameter for the FID measurement; 3-inch diameter for the PNI and Rabi precession studies) was placed 13 cm from the center of the sample and was coupled to the PMT by an acrylic light guide approximately 1 meter long. Long light guides were used to keep the sensitive PMTs outside the 0.7 mT holding field and also to ensure that the magnetic shielding in the PMTs did not disturb the magnetic field at the sample.

The output signal from each PMT was first fed to a shaping amplifier (Spectroscopy Amplifier Model 2020, Canberra Industries, Meriden, Conn.) set to use a time constant of 0.25 μs. The output of the shaping amplifier was then sent to a discriminator (Timing Single-Channel Analyzer Model 420, Ortec, Oak Ridge, Tenn.) whose peak-height acceptance window was set so that 164 keV gamma rays from the ^131mXe were accepted, and background events (mostly consisting of ˜30 keV x-rays) were largely rejected. For each accepted event, the discriminator generated a digital pulse which was sent to a gate/delay generator (Quad Gate/Delay Generator Model 794, Phillips Scientific, Mahwah, N.J.) to trigger a second digital pulse of adjustable width set to 3 μs. A data acquisition card (PCI-6259, National Instruments Corporation, Austin, Tex.) recorded the outputs of the gate/delay generators from all three detectors as a function of time, using three separate input channels. The data sampling frequency (333 kHz) was set to the inverse of the pulse duration, so that each gamma arrival resulted in a non-zero signal in exactly one time bin. Under the typical operating conditions, the gamma arrival rate was very low compared with the data sampling rate. As a result, the data stream was essentially binary, with only a small fraction of the time bins containing “1”s.

A magnetic holding field of 0.7 mT was used for the studies, corresponding to a Larmor frequency of 0.96 kHz. At the ^131mXe polarization levels with which the inventors worked (55-65%), only the terms α₀ and α₂ in Eq. 1 are non-negligible. Thus the count rates in the transverse detectors oscillated at 1.92 kHz (twice the Larmor frequency) during spin precession, which may be readily resolved at that data-sampling rate of 333 kHz.

The ^131mXe cell was housed inside a ceramic oven with glass windows located at the isocenter of the magnet system. Spin-exchange optical pumping was performed in-situ using 40 watts of laser power at an oven temperature of 140° C. (spherical cell) or 190° C. (“middle” cell). To estimate the ^131mXe polarization during spin-exchange optical pumping, the inventors monitored the count rate in the longitudinal detector, which decreased with increasing polarization (FIG. 2a). Under the typical running conditions, the time constant characterizing the build up of polarization was approximately 35 s. Since the resulting polarization levels were ˜60%, this implies a T₁ in the absence of spin-exchange of ˜90 seconds.

Acquisition Methods for Non-Imaging Studies

The inventors' non-imaging studies were performed using quantities of ^131mXe that were two to three orders of magnitude smaller than may be used for in vivo studies. Moreover, only 1-2% of the total solid angle was covered by each of the gamma detectors. For these reasons, the inventors used extensive signal averaging to obtain the results shown in FIG. 4. Because the half-life of ^131mXe is 12 days, however, acquiring additional averages only required re-polarizing the contents of the cell, not refilling the cell with fresh ^131mXe.

For the FID results shown in FIG. 4a, the (unpolarized) 164 keV gamma count rate was ˜900 Hz per detector and 1300 measurements were averaged. Prior to each measurement, the sample was polarized for 100 s, reaching a polarization level of ˜55%. The laser was then blocked, a π/2 RF pulse was applied, and counts were recorded for 300 ms using the transverse detectors. Measurements were combined by adding the counts in corresponding time bins. The resulting time-varying signal was mixed down to a lower frequency for display, by multiplying with a sinusoidal function and applying a digital low-pass filter. Finally, the time-averaged count rate was added as an offset.

The Rabi precession experiment was performed using the same sample of ^131mXe that was used for the imaging experiment. By the time the Rabi precession experiments were performed, the original 1 mCi activity in the cell had declined to 0.3 mCi, yielding an unpolarized count rate of ˜4.6 kHz in each detector. The results in FIGS. 4b and 4c show the average of 500 measurements. Prior to each measurement, the sample was polarized for 100 s, reaching a polarization level of ˜65%. The laser was then blocked, the RF was turned on, and counts were recorded in the longitudinal detector for 6 s during the RF application. With a central oscillation frequency in the longitudinal detector of roughly 51 Hz, the amplitude of the applied RF was roughly 37.2 μT (or 18.6 μT for the RF in the rotating frame). Measurements were averaged in the same manner described above.

Formalism Behind the PNI Pulse Sequence

In this section, the theoretical formalism is described that shows how the pulse sequence illustrated in FIG. 3b provides for constructing an image by using gamma detection. It is assumed that the sample is initially polarized along the (longitudinal) z direction, and a π/2 pulse of RF is subsequently applied along the y direction, which rotates the spin orientation to point along the x direction. It is further assumed that while the spins are precessing in the (transverse) x-y plane, the sample is exposed to a linear magnetic-field gradient described by the vector:

$\begin{array}{cc}\overrightarrow{G}=\frac{\partial B_z}{\partial x}\hat{x}+\frac{\partial B_z}{\partial y}\hat{y}& \left(6\right)\end{array}$

After applying the gradients for a time τ, a spin located at position r will have precessed in the x-y plane by an angle ϕ given by

ϕ=γ(τ{right arrow over (G)}·{right arrow over (r)}+B₀t),   (7)

where t is the time elapsed following the π/2 pulse, B₀ is the strength of the holding field pointing along the z axis, and γ is the gyromagnetic ratio in units of radians per second per Tesla. For ^131mXe, |γ/2π|=1.37 MHz/T¹².

Next, the effect of a second π/2 pulse applied along the y axis at time t=t_delay is considered. This RF pulse rotates the spins by 90° about the y axis, and whatever the azimuthal angle ϕ had been with respect to the x axis now becomes a polar angle θ_r with respect to the z axis. Let τ_L≡2π/(γB₀) be the Larmor period of the precessing spins. If t_delay is a half-integral multiple of the Larmor period,

$\begin{array}{cc}{t}_{\mathrm{delay}}=n\frac{{\tau }_L}{2}& \left(8\right)\end{array}$

where n is a positive integer, the resulting polar angle with respect to the z axis will be given by

θ=γτ{right arrow over (G)}·{right arrow over (r)}+nπ.   (9)

At this point in the pulse sequence, the polarized spins are precessing freely about the z axis. Although the azimuthal angle of the spin vector rotates at the Larmor frequency, its polar angle remains constant. And because the gamma emission probability only depends on the polar angle with respect to the spin orientation, the count rate in a longitudinally oriented detector is also constant (ignoring relaxation). Using Eq. 1 and retaining only the first two terms, the count rate in a detector oriented along the z axis, originating from a group of spins at position r, will be proportional to

W=α ₀+α₂ cos(2γτ{right arrow over (G)}·{right arrow over (r)}).   (10)

Next, the reciprocal k-space vector

2π{right arrow over (k)}≡2γτ{right arrow over (G)}.   (11)

is defined. Notably, the extra factor of 2 here compared to the relationship between k and the gradient moment in conventional MRI², which is necessitated by the 2θ dependence in Eq. 1. W_c(k,r) is defined to be the count rate originating from a group of spins at location r corresponding to a particular value of k. Thus,

W _c({right arrow over (k)},{right arrow over (r)})=α₀+α₂ cos(2π{right arrow over (k)}·{right arrow over (r)}),   (12)

where the subscript c refers to the fact that with the choice of t_delay given in Eq. 8, a cosine appears on the right-hand side of Eq. 12. Lastly, W_c(k,r) is integrated over r to obtain a quantity referred to herein by the inventors as the sample's real spin moment corresponding to a particular value of k defined as

S({right arrow over (k)})≡∫ρ({right arrow over (r)})[α₀+α₂ cos(2π{right arrow over (k)}·{right arrow over (r)})]d³{right arrow over (r)}.   (13)

Next is considered a second value of the delay time

$\begin{array}{cc}{t}_{\mathrm{delay}}=\frac{\left(n+1\text{/}4\right){\tau }_L}{2}& \left(14\right)\end{array}$

that differs from the first by ⅛ of the Larmor period. For this value of t_delay the resulting value of W is given by

W _s({right arrow over (k)},{right arrow over (r)})=α₀−α₂ sin(2π{right arrow over (k)}·{right arrow over (r)}),   (15)

where the subscript s refers to the fact that with this choice of t_delay one ends up with a sine on the right-hand side of Eq. 15. One can accordingly calculate what will be called the imaginary spin moment of the sample corresponding to a particular value of {right arrow over (k)}, defined as

S_ℑ({right arrow over (k)})≡∫ρ({right arrow over (r)})[α₀−α₂ sin(2π{right arrow over (k)}·{right arrow over (r)})]d³{right arrow over (r)}.   (16)

Both S(k) and S_ℑ(k) are real numbers and are proportional to the gamma-ray count rates in the longitudinal detector for the two choices of t_delay (Eqs. 8 and 14) respectively. For the purposes of imaging, the values chosen for t_delay are not unique; only the difference between the two values is important. To obtain maximum benefit from this approach, however, the delay times should be short compared with the transverse relaxation time.

Finally, one considers a complex function A(k), defined as

A({right arrow over (k)})≡S({right arrow over (k)})+iS_ℑ({right arrow over (k)})−A₀   (17)

where S(k) and S_ℑ(k) are the real and imaginary spin moments defined above and

A₀≡α₀(1+i)∫ρ({right arrow over (r)})d³{right arrow over (r)}  (18)

is a global offset that is independent of k-space location. Using Eqs. 13, 16, and 18 in Eq. 17:

A({right arrow over (k)})=α₂∫ρ({right arrow over (r)})e^{−i{right arrow over (k)}·{right arrow over (r)}}d³{right arrow over (r)}.   (19)

Thus A(k) and ρ(r) are a Fourier-transform pair up to a scale factor. This result is quite striking. The inventors have shown that by measuring a set of time-independent count rates in a single longitudinal gamma detector, it is possible to construct an image of the polarized spin distribution.

Next is the consideration of how to interpret data from an arbitrarily oriented detector. The count rate in a longitudinal detector is constant following the second RF pulse, because the angle between the spin vector and detector orientation remains constant as the spin precesses about the longitudinal axis. By contrast, the angle between the spin vector and a non-longitudinal detector changes as the spin precesses, resulting in an oscillating count rate in this detector until coherence is lost. The time-averaged count rate will be focused on here.

To understand how to extract k-space data from non-longitudinal gamma emissions, consider a detector oriented at a polar angle θ_d with respect to the z axis and azimuthal angle ϕ_d with respect to the x axis. θ_eff(t) is defined to be the angle between the direction of that detector and a precessing spin that is described by a polar angle θ and an azimuthal angle ϕ(t). It is straightforward to show that

cos θ_eff(t)=cos θ_d cos θ−sin θ_d sin θ cos[ϕ(t)−ϕ_d]  (20)

The count rate is again given by Eq. 1, where cos 2θ is replaced by

cos 2θ_eff(t)=2[cos²θ_d cos²θ+2 cos θ_d cos θ sin θ_d sin θ cos(ϕ(t)−ϕ_d)+sin²θ^d sin² θ cos²(ϕ(t)−ϕ_d)]−1.   (21)

After some algebra, the time average of cos 2θ_eff is given by

cos 2θ_eff=¼[−1+cos(2θ_d)+(1+3 cos(2θ_d))cos(2θ)].   (22)

Following the same reasoning as that which led to Eq. 12, the time-averaged count rate in this case equals

W _c({right arrow over (k)},{right arrow over (r)})=α₀+¼α₂[cos(2θ_d)−1]+¼α₂[3 cos(2θ_d)+1]cos(2π{right arrow over (k)}·{right arrow over (r)}).   (23)

Comparing with Eq. 12, one can see that the count rate still contains spatial frequency information, but the analyzing power is lower due to the smaller coefficient of the cos(2πk·r) term and the larger constant term (a₂ is negative for ^131mXe). In the limit of θ_d=0, Eq. 23 reduces to Eq. 12. While there is clearly a benefit to using additional non-longitudinal gamma detectors to cover a larger solid angle, the reduced analyzing power indicated by Eq. 23 needs to be considered. For example, at θ_d=54.7° the analyzing power goes to zero.

It is worth noting the implications of Eq. 23 with regard to image quality under two scenarios that are referred to herein as the small-object and large-object limits. In the small-object limit, the object being imaged is small in comparison to the distance between the object and the detector. In this case, the size and position of a detector will influence its analyzing power, but will not limit the image resolution to the extent that terms in Eq. 1 with n>2 can be ignored. In the large-object limit, the object being imaged is large in comparison to the distance between the object and the detector. In this limit the angle θ_d, and hence the analyzing power, of the detector is different for different points in the object, effectively resulting in a different “brightness” for different points of the object. While this certainly affects image quality, notably related effects exist in MRI in which the signal magnitude as seen by the receive coils varies across the field of view.

Acquisition Methods for Polarized Nuclear Imaging

The phantom shown in FIG. 1b was imaged using the approach described in the previous section. The image was acquired as a two-dimensional projection; no slice selection was used. The two π/2 RF pulses were identical, each having 5 ms duration. Pulses of magnetic-field gradients, each of 28 ms duration, were applied simultaneously along the x and y directions during the time between the first and second RF pulses. The gradient pulse amplitudes were stepped in uniform increments through two nested loops, to evenly sample a 32-by-32 symmetric k space matrix at 3 mm pixel resolution. The extreme gradient moments were ±60 ms·mT/m, corresponding to a square gradient amplitude of 2.1 mT/m. Count rates were measured for two different delay times (t_delay=35 ms and 35.13 ms, which were much less than the transverse coherence time of 200 ms) in order to measure the real and imaginary spin moments, respectively, at each k-space location. The total number of excitations needed for a complete image was 2048. Data were acquired using all three detectors. When the sample was not polarized, the 164 keV gamma count rate was ˜13 kHz in each detector.

Prior to each k space acquisition, the ^131mXe sample was polarized for 90 seconds, reaching a polarization level of ˜65%. The counts in each detector were then measured for 10 seconds, providing normalization data that were used during image reconstruction. Next the laser beam was blocked, and the pulse sequence of FIG. 3b was applied. Counts were accumulated for 6 s after the completion of the second RF pulse. The laser was then unblocked, and the cycle was repeated. The image shown in FIG. 1a is the average of the images acquired during two complete imaging cycles, one immediately after the other, using a single sample of 1 mCi of ^131mXe.

Notably, at the maximum gradient strength of 2.1 mT/m, the maximum strength of the concomitant magnetic field over our sample is on the order of 0.06 mT, which is a significant fraction of the holding field strength of 0.7 mT. It is known that such concomitant fields can affect image quality of conventional MRI, particularly at low holding field strengths, and it is likely that concomitant fields would affect PNI in similar ways. However, the effects of concomitant fields on the disclosed PNI scheme were not explored here, and no special measures were taken to account for or minimize such effects. If performing conventional MRI, the inventors estimate that the maximum spatial mis-registration caused by the concomitant fields present during the phase-encoding gradients would be less than half the pixel size of 3 mm Therefore, it is likely that any image distortion or blurring due to concomitant fields would not be obviously noticeable in the PNI image shown in FIG. 1a.

It is also worth noting that any limits on image quality due to gas diffusion arise not from the 6-second data-acquisition time, but from the time period (˜30 milliseconds) the spins spend in the transverse plane during phase encoding. Assuming that the self-diffusivity of^131mXe atoms in the “middle” cell is 0.9 cm²/s, this implies that the mean one-dimensional diffusion distance during this time is 2 mm, which is also less than the PNI pixel size.

Image Reconstruction

Data from each detector were analyzed independently. For each point in k space, there were two 6 s data strings, corresponding to the real and imaginary spin moments. To compensate for the decline of ^131mXe activity during the long imaging procedure, as well as any other slow drifts affecting the average count rate, the number of counts registered during each 6 s data string was divided by the baseline count rate measured before the first RF pulse. A 32-by-32 k-space matrix was constructed for each detector, and the normalized counts measured for each delay time were entered as the real and imaginary components at the corresponding k-space location. Before taking the Fourier transform, a complex-valued offset A₀ (see Eq. 17) was subtracted from every k-space entry. The appropriate value of A₀ was estimated from the average count rates measured around the periphery of k space. The k-space data for the longitudinal detector is shown in FIGS. 6a and 6b. Finally, a set of three complex images (one for each detector) were calculated by taking the inverse Fourier transform of each k-space matrix, and these images (shown individually in FIGS. 7a, 7b, and 7c) were combined using the standard sum-of-squares method³² to arrive at the final magnitude image shown in FIG. 1a.

Considerations for In Vivo Applications

For non-biological applications, including nuclear physics studies where radiation dose is not an issue, there are numerous applications of the above-described embodiments, particularly with the ongoing construction of the U.S. Department of Energy Facility for Rare Isotope Beams³³. For biological studies, especially in vivo studies, where radiation exposure is a significant factor of concern, there are a number of items to consider with respect to the above-described approaches.

One issue relates to statistics and acquisition time. In the image presented in FIG. 1a, the acquisition of one complete set of k-space data took ˜60 hrs. Although most of this time was spent polarizing the ^131mXe, the total time during which k-space data were accumulated was ˜200 min for a single image, which is considerably longer than a clinical MRI or nuclear imaging scan. Similarly, the spectroscopic studies described above required considerable averaging, which required acquiring data for more than a day. One consideration, accordingly, is isotopes that provide for such in significantly less time.

As mentioned earlier, the isotope ^131mXe was largely used in the studies described above because it was accessible. One way to reduce required acquisition time would be to increase the count rate by starting with a larger quantity of ^131mXe than the 1 mCi used. Furthermore, the solid-angle coverage provided by the detector array was ˜6%. Even taking analyzing power into account, a factor of five improvement in counting statistics may be achieved by maximizing the solid-angle coverage. Thus, by using a 100 mCi sample of ^131mXe in combination with a full detector array, the data shown in FIG. 4b, which represents 500 averages, may be acquired in a single shot.

There are several characteristics to consider for isotopes to utilize in other implementations such as in vivo studies, rather than using ^131mXe. For in vivo studies, favorable isotopes would deliver higher statistics for a given radiation dose. The branching ratio of ^131mXe to the 161 keV gamma transition used in the above-described studies is about 2%, which means that 98% of the radioactive decays are not necessarily useful for imaging, although they do contribute to the total radiation dose. Furthermore, the biological half-life of xenon has been reported to be about five minutes, which is at least an order of magnitude longer than the expected lifetime of the nuclear polarization in vivo. Thus for ^131mXe, the radiation exposure to the subject would continue for much longer than the time during which useful statistics could be accumulated. In contrast, the isotopes ^127mXe (spin 9/2) and ^79mKr (spin 7/2) have gamma branching ratios of 38% and 27%, respectively^22,23, and radiological half-lives of around one minute, which are much shorter than their biological half-lives. These isotopes may thus provide around 50-100 times the counting statistics for a given radiation dose to the subject, compared with ^131mXe.

While further details on in vivo implementations will be provided below, in order to consider how image acquisition may proceed in vivo, it should be considered that it may be impractical to repolarize a sample of nuclei between acquisitions. While the point-by-point acquisition makes excellent use of the long half-life of ^131mXe, a more efficient strategy for sampling k space may be needed in vivo, for example by using echo techniques to obtain multiple lines of k space from each bolus of polarized nuclear tracer. One such acquisition strategy is described in the section “Alternative Imaging Approach” below. From the perspective of the number of counts alone, isotopes such as ^127mXe and ^79mKr can provide advantageous signal-to-noise (compared to FIG. 1a) with a medically acceptable dose of radiation.

The subject of spin relaxation in vivo will now be described. In the gas phase of the implementations and results discussed above, the T₁ measured for ^131mXe was often little different than the T₁ measured for ¹²⁹Xe in a similar vessel. It appears that the quadrupolar spin relaxation of the ^131mXe was at least partly offset by the fact that its gyromagnetic ratio, and hence dipolar relaxation, is an order of magnitude smaller than for ¹²⁹Xe. Duhamela et al.²⁹ measured the T₁ of ¹²⁹Xe in micro-bubbles to be 20 seconds. For enabling biomedical applications outside the lung, similar measurements may be made using ^131mXe. If ^131mXe is directly dissolved into an injectable liquid, however, the spin relaxation rate may be prohibitively fast because of its relatively large quadrupole moment³⁴. This challenge may be shared by the other noble-gas isomers that have spin >½.

If laser-polarized noble-gases with nuclear spin >½ are unlikely to have long T₁ values in solution, the same limitation does not necessarily apply to other elements that may be polarized using DNP. Nuclei with relatively small quadrupole moments, particularly when part of a molecule with sufficient symmetry, can have T₁ values that are tens of seconds in the dissolved phase. Another approach is to embed the isomer in a suitable nanoparticle, as was recently demonstrated for hyperpolarized MRI of ²⁹Si³⁵. In that case the ²⁹Si was found to have a T₁ of 600 seconds. While ²⁹Si has a nuclear spin of ½, there are certainly examples of nuclei with spin >½ with long values of T₁ in the solid state. For example, ¹³³Cs, which has a very small quadrupole moment, has been measured to have a T₁ of 330 seconds in CsH²⁸. The flexibility to choose an isomer with a long T₁ when in the solid state, and incorporate that isomer into a biocompatible nanoparticle, can significantly expand the range of candidate nuclei.

There has been considerable interest in performing magnetic resonance studies of various nuclei that have been cross-polarized by other hyperpolarized nuclei, including both ¹²⁹Xe and ¹³C^36,37,38. The stable isotope ¹³¹Xe can be readily cross-polarized when closely surrounded by polarized ¹²⁹Xe in solid form³⁹. An approach that would keep ¹²⁹Xe atoms in close proximity to atoms of an isomer such as ^131mXe or ^127mXe at body temperature can provide for delivering polarization in vivo using ¹²⁹Xe, and inducing cross-polarization of the target nucleus immediately before data acquisition. A small quantity of an appropriate radioactive xenon isomer may be included within a larger sample of hyperpolarized ¹²⁹Xe.

Further Discussion

A further discussion relating to PNI for in vivo settings, in accordance with some aspects of the present disclosure, will now be provided. As introduced in some detail above, there are challenges for medical diagnostic techniques in which a patient is exposed to radiation. When radiation plays a part in a medical diagnostic (as opposed to a medical treatment), it is necessary to limit the radiation to an acceptable level, that is, to a level that will not significantly increase the patient's probability to get cancer. At the very least, even if there is a slight increase, it is important to keep it to a minimum so that the benefits of the procedure outweigh the risk.

To address these challenges, in accordance with some embodiments of the present disclosure, the isotope selected for use in PNI is such that it has a large branching ratio to the gamma ray of interest. That is, when it radioactively decays, a large fraction of those decays should result in the gamma ray that will be detected when acquiring imaging data. For example, whereas the branching ratio for ^131mXe is only 2% to the gamma ray of interest, in contrast, the branching ratios to the gamma-ray of interest for ^79mKr and ^127mXe are 27% and 38% respectively. In choosing the isotope, it should be also selected such that the half-life is as short as practical, for example 10-20 seconds. Notably, certain nuclear medicine techniques use isotopes with half-lives that are in this range. For the cases of ^79mKr and ^127mXe, the half-lives are both right around one minute. While something even shorter may be contemplated and is within the scope of the present disclosure, in accordance with some embodiments, one minute is practical and allows for various practical aspects of the imaging to be more easily managed.

Further, as discussed in some detail above, it is known that nuclei with nuclear spin>½ in general have quadrupole moments, and that these quadrupole moments usually cause more rapid spin relaxation than is the case among nuclei for which the nuclear spin=½. This can be particularly pronounced when the atoms are in solution, or when the atoms are in a solid. In accordance with aspects of the present disclosure, there are several approaches that may be used to address this challenge. One such approach is to choose isotopes with very small quadrupole moments. Another approach is to choose isotopes that are imbedded in highly symmetric molecules. Also, isotopes may be chosen that have atomic properties which strike a good compromise between being sensitive to their chemical environment while not being so sensitive that they experience overly rapid spin relaxation. For example, ⁸³ Kr relaxes roughly 20 times more slowly when dissolved in n-Hexane than is the case for ¹³¹Xe.

Still another approach is to transport the isotope in vivo by encapsulating it in micro bubbles (or nanobubbles), a technique that has been demonstrated in normal MRI using hyperpolarized ¹²⁹Xe (which is spin ½, but the principle is the same), or to transport the isotope in vivo by embedding it in a nanoparticle. Transportation via a nanoparticle has been demonstrated in normal MRI using hyperpolarized ²⁹Si (which again is spin ½). The nanoparticle approach can be particularly attractive because, for example, very long spin relaxation times of ¹³³Cs in a CsH salt have been shown²⁸. Yet another approach is to not polarize the nuclei until they are already at the biological site of interest. The nuclei may be polarized using cross-polarization techniques in which appropriate RF pulses are applied to move polarization from a long-lived nuclear species to the radioactive isotope to be used for PNI. Cross polarization can work quite well when using nanoparticles.

A discussion of particular NMR properties of ⁸³Kr and its use in PNI will now be provided. While the above-described studies were performed using ^131mXe, ^79mKr has attributes that make it an advantageous choice. Like both ^131mXe and the stable isotope ¹²⁹Xe (which has been used extensively for noble-gas imaging), ^79mKr may be readily polarized by spin-exchange optical pumping (SEOP). It is well established that the stable isotope ⁸³Kr can be polarized using SEOP, and the relevant parameters for doing so have been measured by Schaefer, Cates and Happer⁴⁰. The isotope ⁸³Kr has also been used in the past to image rodent lungs²⁴. One observation by Schaefer, Cates and Happer⁴⁰ is that the T1 of ⁸³Kr in the gaseous state was quite long in the samples that were studied, between 466 and 872 seconds in the small spherical glass cells that were used in the studies. These values of T1 are significantly longer than is typical for small glass cells containing ¹²⁹Xe. Since the atomic (as opposed to nuclear) properties of krypton are quite central to determining T1, the T1 of ^79mKr may also be quite long. In the dissolved state, ⁸³Kr has been measured to have a T1 of over 700 milliseconds in n-Hexane. Although a longer T1 would also be considered desirable, this is much longer than the T1 of ¹³¹Xe (also in n-Hexane) of tens of milliseconds, another noble gas isotope with a non-zero quadrupole moment.

As mentioned in some detail above, one approach to addressing the short T1 of noble-gas nuclei with non-zero quadrupole moments when in solution is in vivo imaging using microbubbles. For the case of ¹²⁹Xe, the imaging of perfusion in rat brain was investigated by Duhamela et al.²⁹ using ¹²⁹Xe that was both dissolved in a lipid suspension as well as contained in microbubbles. The T1 of the ¹²⁹Xe in microbubbles was measured to be 20 seconds, more than long enough for in-vivo imaging, even when considering working with human subjects. The T1 of ⁸³Kr has been found to be significantly longer than what can be observed under similar conditions when working with ¹²⁹Xe. A microbubble may be an effective means of introducing ^79mKr into living subjects when interested in biological compartments beyond the lungs.

In accordance with one embodiment, an apparatus provides for imaging both gaseous noble-gas nuclei and also dissolved-phase noble-gas nuclei. The apparatus can be used to image dissolved phase ¹²⁹Xe, and dissolved-phase images have been produced at dramatically lower magnetic fields than has ever been done previously. The apparatus has also been used to study ⁸³Kr, and gas-phase images have been successfully made. The apparatus can also be used to produce dissolved phase images of ^79mKr where signal-to-noise can be boosted by huge factors, perhaps as much as one million. Another embodiment of the apparatus can be used to investigate the imaging of ^79mKr in microbubbles, for in vivo studies using ^79mKr outside of the lung.

In accordance with some embodiments, an apparatus has sealed glass cells in which either ¹²⁹Xe or ⁸³Kr is polarized using SEOP while simultaneously allowing the gas to come into contact with sunflower oil. The cell may also be spun back and forth by a computer-controlled motor to agitate the oil and insure that the noble gas is mixed in with the oil more efficiently than would be the case from diffusion alone. An example of one of the cells is shown in FIG. 8. The cell was mounted in such a way that the upper portion can be illuminated by a laser (to polarize the noble gas), while the lower portion resided inside a small well-shielded solenoid coil that was used to perform pulsed NMR. Shielding was of importance because of the operation at low magnetic fields.

The cell was illuminated by roughly 80 Watts of light from spectrally-narrowed high-power diode-laser arrays in order to optically pump Rb vapor in the upper portion of the cell. After a period of one to several minutes, substantial nuclear polarization was achieved in the ¹²⁹Xe or ⁸³Kr, and pulsed NMR data were acquired. The cycle of polarizing the sample and acquiring pulsed NMR data may be repeated as many times as desired, making it able to acquire averaged spectra as well as images. Some aspects of the apparatus, such as configuration of the coils used to apply magnetic-field gradients, are described in Zheng, Y. et al.¹⁵

For the case of ¹²⁹Xe, the NMR frequencies of the gas-phase and dissolved-phase signals were quite well separated, by roughly 200 ppm, as is indicated in FIG. 9. For imaging, a fully phase-encoded pulse sequence was used, making it possible to produce images of nuclei that were exclusively in either in the gas phase or the dissolved phase. Two dimensional images of the bottom portion of cells such as those shown in FIG. 8 were produced. An example of several images is shown in FIG. 10. Two pairs of images are shown, taken with and without agitation respectively. The first two images of FIG. 10 show the gas-phase and dissolved-phase images resulting when no agitation of the sample occurred. The interface between the gas and oil is clearly visible. It is also apparent that in the absence of agitation, the ¹²⁹Xe penetrated only superficially into the oil. The second set of images in FIG. 10 corresponds to what resulted when agitation was used. It can clearly be seen that in this case the ¹²⁹Xe was distributed much more extensively within the oil.

Alternative Imaging Approach

A discussion of further aspects and embodiments of the present disclosure that relate to polarized nuclear imaging will now be described along with corresponding FIGS. 12 and 13.

The above discussion with respect to certain implementations and results of certain embodiments of the present disclosure shown in FIGS. 1-11, describes the ability to image an intricate polarized spin distribution using only gamma detection, by using what amounts to a fully-phase-encoded acquisition scheme to sample individual points in k space and then applying the inverse discrete Fourier transform to reconstruct the image. This scheme, which was heavily informed by the inventors' knowledge of MRI, utilizes an initial 90° RF pulse to tip the spins into the transverse plane, followed by magnetic field gradients to generate sensitivity to a point in k space, and finally another 90° RF pulse to tip the spins back to longitudinal orientation for signal acquisition.

The inventors have developed an alternative strategy for image acquisition that is advantageously suited for in vivo use. A key feature of PNI is that imaging data (in the form of gamma count rates) can be acquired simultaneously with the application of RF, something that is generally not done in ordinary MRI. Moreover, in PNI it is not necessary to make use of MR spin precession in the transverse plane to encode spatial information. Instead, one can use spatially varying RF fields (which will be referred to herein as “B₁ gradients”) to encode spatial-frequency information into the longitudinal orientation of the magnetization during Rabi oscillations. This approach takes advantage of the long coherence times observed during Rabi precession (on the order of seconds), as compared with the much shorter coherence times the inventors observed during free precession decay (on the order of hundreds of milliseconds).

The approach described in detail below allows an entire line of conjugate space to be read out one at a time. The term “conjugate space” is used herein to represent the spatial frequencies of the polarization distribution, rather than “k space”, because the inventors believe it is more natural to base image reconstruction on the discrete cosine transform (DCT) rather than the Fourier transform, an approach that has been that has been suggested for MRI⁴¹ but that has seen its widest applications in the area of image compression. Practical implementation of this alternative imaging strategy involves modifications to previous PNI apparatus described with respect to some embodiments discussed in earlier sections of this disclosure. The mathematical basis of the strategy is outlined next.

1D Imaging

The spatially anisotropic gamma emission probability W from a polarized nuclear tracer depends on the polar angle θ with respect to the direction of spin orientation: W(θ)≈α₀+α₂ cos 2θ. Hence for a spatial distribution of spin isochromats ρ({right arrow over (f)}), each of which is oriented at an angle θ({right arrow over (r)}) with respect to the longitudinal axis, the mean statistical count rate in a longitudinally oriented gamma detector is proportional to the integral of W(θ) over the sample:

R∝∫[α₀+α₂ cos(2θ({right arrow over (r)}))]ρ({right arrow over (r)})d{right arrow over (r)}.

Next considered is the effect of a resonant B₁ field, with spatially varying amplitude, on the observed count rate. The magnitude of the B₁ field can be written:

B ₁ =B ₁ ⁰ +{right arrow over (G)} ₁ ·{right arrow over (r)}, where B₁⁰ is a constant and

${\overrightarrow{G}}_1\equiv \frac{\partial B_1}{\partial x}\hat{x}+\frac{\partial B_1}{\partial y}\hat{y}$

represents the B₁ gradient.In the rotating frame, the spins precess about B₁ leading to a spatially dependent time-variation of the polar angle θ({right arrow over (r)}, t)=γB₁t=γt(B₁⁰+{right arrow over (G)}₁·{right arrow over (r)}). That is, the Rabi precession frequency is a function of position in the transverse plane. The resulting time-dependent count rate in the longitudinal detector is given by

R(t)∝∫[α₀+α₂ cos(2γ(B₁⁰+{right arrow over (G)}₁·{right arrow over (r)})t)]ρ({right arrow over (r)})d{right arrow over (r)}.

The term 2γB₁⁰t in the argument of the cosine can be viewed as the Rabi precession “carrier frequency,” and needs to be eliminated in order to proceed with image reconstruction. For example, in a process somewhat akin to demodulation, B₁⁰ can be set to an integer multiple of π/γΔt, where Δt is the readout time for each k-space sample. This causes the spins precess by an integral number of cycles during each time interval Δt, essentially locking the carrier frequency to the readout. Notably, every γ-ray count is recorded individually, so the subtleties of demodulation can also be examined retrospectively. Dropping the term with B₁⁰, and defining the vector quantity {right arrow over (k)}₁ to be the time integral of the B₁-gradient amplitude according to:

${\overrightarrow{k}}_1\equiv 4\frac{\gamma }{2\pi }\int {\overrightarrow{G}}_1\left(t\right)\mathrm{dt},$

results in:

R({right arrow over (k)}₁)∝α₀∫ρ({right arrow over (r)})d{right arrow over (r)}+α₂∫cos(π{right arrow over (k)}₁·{right arrow over (r)})ρ({right arrow over (r)})d{right arrow over (r)}, which has the discrete analogy:

R(k₁)=α₀Σ_n=1^Nρ(n)+α₂Σ_n=1^Nρ(n)cos(πk₁n)   (24),

where n represents the spatial position along the direction of the gradient. This expression is strikingly similar to the 1-dimensional inverse discrete cosine transform (DCT):

$x\left(p\right)=\frac{1}{\sqrt{N}}X\left(1\right)+\sqrt{2\text{/}N}\sum _{n=2}^NX\left(n\right)\cos \left[\frac{\pi \left(p-\frac{1}{2}\right)\left(n-1\right)}{N}\right]$

where x(p) corresponds to R(k₁) and X(n) corresponds to ρ(r). Thus by sampling the longitudinal count rate in the presence of a B₁-gradient of amplitude G₁ at the N time points t=½Δt, 3/2Δt, . . . , (N−½)Δt, a 1D image can be reconstructed of the spin density distribution at the N spatial points x=Δx, 2Δx, . . . , NΔx, by computing the DCT of the acquired k₁-space data. The relationship among G₁, Δt, Δx, and N satisfies

$4N\frac{\gamma }{2\pi }G_1·\Delta x·\Delta t=1.$

Anisotropic vs. Isotropic Gamma-Ray Emission

Equation 24 shows that there will always be two components of the detector signal: a time-dependent part due to rotating polarized spins (corresponding to anisotropic emission) and a background due to unpolarized spins (corresponding to isotropic emission). This background count rate will increase as the polarization declines. The form of the cosine transform allows this background to be absorbed into the zero-frequency terms, which only affect the pixels at the upper and left edges of the image and are easily cropped out of the field of view. In effect, the DCT only “sees” the polarized component which is relevant to imaging.

Although this constant background does not necessarily interfere with the measurement of spatial frequencies in k₁-space, it does not contribute to their measurement either. In performing PNI, therefore, it is advantageous to keep the polarization decay rate as low as possible, both to enhance and maximize the useful (anisotropic) part of the detector signal and to minimize the unuseful (isotropic) part, which does not contribute to the PNI image acquisition but nonetheless contributes to the radiation dose to the subject. Furthermore, ^131mXe is probably not the ideal isotope for PNI, due to both its long half-life (12 days) and the fact that its branching ratio to the gamma-ray associated with anisotropic emission is only 2%. Thus 98% of the radioactive decays are not capable of anisotropic emission, and therefore contribute to the radiation dose but are not useful for PNI. An isotope with a larger branching ratio and shorter radiological half-life would be more favorable. One example is ^127mXe, which has a branching ratio of about 30% and a radiological half-life of about one minute²³, for which the useful count rates would be orders of magnitude higher for the same quantity of material.

2D Imaging

The two-dimensional inverse DCT is given by:

$x\left(p,q\right)=\sum _{m=1}^M\sum _{n=1}^NA_mA_nX\left(m\right)X\left(n\right)\cos \left[\frac{\pi \left(p-\frac{1}{2}\right)\left(m-1\right)}{M}\right]\cos \left[\frac{\pi \left(q-\frac{1}{2}\right)\left(n-1\right)}{N}\right]$

where A₁=1/√{square root over (N)}, and A_j=√{square root over (2/N)} for j>1. The one-dimensional acquisition scheme can be extended to allow two dimensional imaging by applying B₁ gradients along the perpendicular direction in the x-y plane, akin to phase encoding in MRI, before executing the readout B₁ gradient. The extension to two dimensions in PNI, however, has a complication. If θ_x is the phase accrued during the readout gradient G_1,x and θ_y is the phase accrued during the perpendicular “phase-encode” gradient G_1,y, then the count rate will be proportional to cos θ=cos(θ_x+θ_y), whereas the cosine transform involves the product cos θ_x cos θ_y. (A similar issue does not exist in MRI, because e^iφ1e^iφ2=e^i(φ1+φ2).) But by invoking the trigonometric identity 2 cos(α) cos(β)=cos(α+β)+cos(α−β), the inventors have found that the necessary product can be constructed by acquiring the same k_1,y line twice, with opposite gradient amplitudes, and simply adding the data. The 2D image can then be reconstructed by applying the 2D DCT to the fully sampled k₁-space matrix.

Pulse Sequence Design

An appropriate pulse sequence for the 2D acquisition scheme is shown in FIG. 12. There are several notable differences from a two-dimensional pulse sequence for MRI: (1) Excitation and spatial encoding are part of the same process, so there is not a separate excitation RF pulse before the encoding gradients are applied. Moreover, data is acquired concurrently with RF application; (2) There is no pre-phaser lobe on the readout gradient G_1,x, because the cosine transform does not involve negative frequency components; (3) The data acquired using negative G_1,y amplitudes are added to the data from the corresponding positive amplitudes; and (4) The amplitudes of the PE gradients follow the sequence (½, 3/2, 5/2, . . . ) rather than (0, 1, 2, . . . ).

Numerical Simulation

To validate the mathematical framework described above, MATLAB code was developed that simulates the time evolution of a given spin distribution under the pulse sequence described above, and computes the resulting k₁-space data for a given detector arrangement. The DCT2 function in MATLAB is then applied to reconstruct the simulated image of the spin distribution. By assuming the number of emissions seen by each detector in each time interval is governed by Poisson statistics, the image SNR can be predicted under different conditions (including voxel size, sampling time, polarization level, decay rate, and absolute particle density). In FIG. 13, (a) shows an assumed spin density sampled on a 16-by-16 grid; (b) shows the k₁-space data matrix generated using our simulation of a 16-line acquisition with a total imaging time of 10 seconds, for a 10 mCi sample of ^131mXe; (c) shows the reconstructed image; and (d) shows the SNR improvement if a 100 mCi sample is assumed.

Hardware Implementation

As described earlier, spatial gradients are introduced into the RF field rather than into the static magnetic holding field. The scheme is based on the ability to produce a circularly polarized RF field whose magnitude is a well-defined function of position in the transverse plane. This ensures that the Rabi precession frequency, in the presence of gradients, is a function of position. A straightforward way to accomplish this is to have two pairs of Helmholtz-like RF coils, aligned along the x- and y-axes respectively, which produce the spatially homogeneous RF field B₁⁰, along with four gradient coils, which collectively produce the gradients of B₁ along the x and y directions. The x- and y-axis RF coils each need two gradient coils in order for the magnitude of B₁ to be time independent and a function solely of x and y.

The following briefly summarizes an arrangement that provides a spatial gradient in the magnitude of B₁. In short, each primary RF coil (x or y), that by itself produces a linearly polarized RF field, is equipped with two gradient coils so that the magnitude of the linearly polarized RF field can be a function of both x and y. One of these gradient coils can be nothing more than a few extra (counter-wound) turns on the primary coils producing the RF. The other gradient coil is oriented at the so-called “magic angle” θ_M=54.7° (the angle for which cos²θ=⅓) with respect to the axis of the primary RF coil. The fact that coils with these orientations will provide the desired gradient tensors is discussed in detail by Cates et al.⁴². If the RF coils oriented along the x- and y-axes respectively are both equipped in this manner, and the magnitude of the gradients being produced by the different coils are all equal to one another, the desired control of the magnitude of B₁ is achieved. The x- and y-axis RF coils are run 90° out of phase with one another to produce circularly polarized RF.

Polarization System

^131mXe is polarized in a manner suitable for dispensing from the polarization cell. For hyperpolarized gas MRI, considerable effort has gone into developing viable techniques for polarizing liter quantities of ¹²⁹Xe^43,44. Because the amount of ^131mXe needed for PNI is so small, however, a simple glass sphere, 2-3 cm in diameter, illuminated with a single 40 W spectrally narrowed diode laser array, is entirely sufficient to polarize the desired quantity to greater than 60%. The ^131mXe polarization used to produce FIG. 1 was approximately 65%. A polarization system may include a simple oven to bring the cell to operating temperature, and a single NaI γ-detector to monitor polarization. The cell may have an input and output port, both of which may extend outside the oven. A dose may be dispensed by flushing the polarized ^131mXe out of the polarization cell with a buffer gas such as N₂ or helium to yield a dose of ^131mXe mixed with the buffer gas. Flushing is necessary because the polarization cell would likely operate below 1 atm.

Computing System

FIG. 14 is a computer architecture diagram showing a general computing system capable of implementing aspects of the present disclosure in accordance with one or more embodiments described herein. A computer 1400 may be configured to perform one or more functions associated with embodiments illustrated in one or more of FIGS. 1-13. One or more components of the computer 1400 may be operatively coupled to the systems and apparatus shown in or associated with FIGS. 2, 3, and/or 8. It should be appreciated that the computer 1400 may be implemented within a single computing device or a computing system formed with multiple connected computing devices. The computer 1400 may be configured to perform various distributed computing tasks, in which processing and/or storage resources may be distributed among the multiple devices.

As shown, the computer 1400 includes a processing unit 1402 (“CPU”), a system memory 1404, and a system bus 1406 that couples the memory 1404 to the CPU 1402. The computer 1400 further includes a mass storage device 1412 for storing program modules 1414. The program modules 1414 may be operable to perform functions associated with embodiments illustrated in one or more of FIGS. 1-13 discussed above. The program modules 1414 may include an application 1418 for performing functions for obtaining and processing data, for example to obtain and process imaging and/or spectroscopic data associated with a subject, as described herein in accordance with various embodiments of the present disclosure. Further, the computer 1400 may be configured to control the various system and/or apparatus used for polarization of nuclei, application of RF magnetic fields and/or spatially varying magnetic fields, detection of gamma rays, and obtaining and/or processing imaging data and/or spectroscopic data in accordance with embodiments of the present disclosure described herein.

The computer 1400 can be configured to process data obtained by the gamma detector(s) in order to reconstruct an image of the spatial distribution of the tracer inside the subject and/or perform measurements of magnetic resonance properties of the tracer in the given environment, and the computer 1400 can be configured to, based on the obtained data, evaluate and diagnose various biological, chemical, or other processes or conditions of a subject, for example. The computer 1400 can include a data store 1420 for storing data that may include obtained imaging data 1422 and/or spectroscopic data 1424.

The mass storage device 1412 is connected to the CPU 1402 through a mass storage controller (not shown) connected to the bus 1406. The mass storage device 1412 and its associated computer-storage media provide non-volatile storage for the computer 1400. Although the description of computer-storage media contained herein refers to a mass storage device, such as a hard disk, it should be appreciated by those skilled in the art that computer-storage media can be any available computer storage media that can be accessed by the computer 1400.

By way of example and not limitation, computer storage media (also referred to herein as “computer-readable storage medium” or “computer-readable storage media”) may include volatile and non-volatile, removable and non-removable media implemented in any method or technology for storage of information such as computer-storage instructions, data structures, program modules, or other data. For example, computer storage media includes, but is not limited to, RAM, ROM, EPROM, EEPROM, flash memory or other solid state memory technology, CD-ROM, digital versatile disks (“DVD”), HD-DVD, BLU-RAY, or other optical storage, magnetic cassettes, magnetic tape, magnetic disk storage or other magnetic storage devices, or any other medium which can be used to store the desired information and which can be accessed by the computer 1400. “Computer storage media”, “computer-readable storage medium” or “computer-readable storage media” as described herein do not include transitory signals.

According to various embodiments, the computer 1400 may operate in a networked environment using connections to other local or remote computers through a network 1416 via a network interface unit 1410 connected to the bus 1406. The network interface unit 1410 may facilitate connection of the computing device inputs and outputs to one or more suitable networks and/or connections such as a local area network (LAN), a wide area network (WAN), the Internet, a cellular network, a radio frequency (RF) network, a Bluetooth-enabled network, a Wi-Fi enabled network, a satellite-based network, or other wired and/or wireless networks for communication with external devices and/or systems.

The computer 1400 may also include an input/output controller 1408 for receiving and processing input from any of a number of input devices and outputting data to output devices. Input devices may include one or more of keyboards, mice, stylus, touchscreens, microphones, audio capturing devices, and image/video capturing devices. An end user may utilize such input devices to interact with a user interface, for example a graphical user interface on one or more display devices such as display screens, for managing various functions performed by the computer 1400. The input/output controller 1408 may be configured to manage output to one or more output devices, including local or remote display devices such as display screens for presenting visual representations of data, and audio and/or video output devices.

The bus 1406 may enable the processing unit 1402 to read code and/or data to/from the mass storage device 1412 or other computer-storage media. The computer-storage media may represent apparatus in the form of storage elements that are implemented using any suitable technology, including but not limited to semiconductors, magnetic materials, optics, or the like. The computer-storage media may represent memory components, whether characterized as RAM, ROM, flash, or other types of technology. The computer storage media may also represent secondary storage, whether implemented as hard drives or otherwise. Hard drive implementations may be characterized as solid state, or may include rotating media storing magnetically-encoded information. The program modules 1414, which include the application 1418, may include instructions that, when loaded into the processing unit 1402 and executed, cause the computer 1400 to provide functions associated with one or more embodiments illustrated in FIGS. 1-13. The program modules 1414 may also provide various tools or techniques by which the computer 1400 may participate within the overall systems or operating environments using the components, flows, and data structures discussed throughout this description.

CONCLUSION

The specific configurations, choice of materials and the size and shape of various elements can be varied according to particular design specifications or constraints requiring a system or method constructed according to the principles of the present disclosure. Such changes are intended to be embraced within the scope of the present disclosure. The presently disclosed embodiments, therefore, are considered in all respects to be illustrative and not restrictive. The patentable scope of certain embodiments of the present disclosure is indicated by the appended claims, rather than the foregoing description, and all changes that come within the meaning and range of equivalents thereof are intended to be embraced therein.

REFERENCE LIST

• [1] Lauterbur, P. C. Image Formation by Induced Local Interactions: Examples Employing Nuclear Magnetic Resonance. Nature 242, 190-191 (1973).
• [2] Brown, R. W., Cheng, Y.-C. N., Haacke, E. M., Thompson, M. R., and Venkatesan, R. Magnetic Resonance Imaging: Physical Principles and Sequence Design (Wiley-Blackwell, Hoboken, 2014).
• [3] Cherry, S. R., Sorenson, J. A., and Phelps, M. E. Physics in Nuclear Medicine (Elsevier Saunders, Philadelphia, 2012).
• [4] Walker, T. G., and Happer, W. Spin-exchange optical pumping of noble-gas nuclei. Rev. Mod. Phys. 69, 629-642 (1997).
• [5] Rabi, I. I., Zacharias, J. R., Millman, S. and Kusch, P. A New Method of Measuring Nuclear Magnetic Moment. Phys. Rev. 53, 318 (1938).
• [6] Spiers, J. A. Angular Distribution of Radioactive Disintegration Products. Nature 161, 807-809 (1948).
• [7] Tolhoek, H. A. and Cox, J. A. M. Angular distribution and polarization of gamma radiation emitted by oriented nuclei. Physica 19, 101-119 (1953).
• [8] Jastram, P. S., Sapp, R. C. and Daunt, J. G. Angular Correlation of Gamma Radiations from Oriented Nuclei. Phys. Rev. 101, 1381-1388 (1956).
• [9] Cappeller, U. and Mazurkewitz, W. Anisotropy and time modulation of γ-radiation emitted by optically aligned ²⁰³Hg nuclei. J. Magn. Reson. 10, 15-21 (1973).
• [10] Rodriguez, J., Bonn, J., Huber, G., Kluge, H.-J. and Otten, E. H. Determination of Spin, Magnetic Moment and Isotopic Shift of Neutron Rich ²⁰⁵Hg by Optical Pumping. Z. Physik A 272, 369-374 (1975).
• [11] Bonn, J., Huber, G., Luge, H.-J., Otten, E. W. and Lode, D. Orientation of ^199mHg by Optical Pumping Detected by γ-Radiation Anisotropy. Z. Physik. A 272, 375-380 (1975).
• [12] Calaprice, F. P. et al. Nuclear Alignments and Magnetic Moments of ¹³³Xe, ^133mXe, ^131mXe by Spin Exchange with Optically Pumped ⁸⁷Rb. Phys. Rev. Lett. 54, 174-177 (1985).
• [13] Ernst, R. R. Nuclear Magnetic Resonance Fourier Transform Spectroscopy (Nobel Lecture). Angew. Chem. Int. Ed. Engl 31, 805-930 (1992).
• [14] Yamazaki, T. Tables of coefficients for angular distribution of gamma rays from aligned nuclei. Nucl. Data Sect. A 3, 1-23 (1967).
• [15] Zheng, Y., Cates, G. D., Tobias, W. A., Mugler, J. P. and Miller, G. W. Very-Low-Field MRI of Laser Polarized Xenon-129, J. Magn. Reson 249, 108-117 (2014).
• [16] Rabi, I. I. Space Quantization in a Gyrating Magnetic Field. Phys. Rev. 51, 652-654 (1937).
• [17] Wu, Z., Happer, W. and Daniels J. M. Coherent Nucler-Spin Interactions of Adsorbed ¹³¹Xe gas with surfaces. Phys. Rev. Lett. 59. 1480-1483 (1987).
• [18] Albert, M. S. et al. Biological Magnetic Resonance Imaging Using Laser-Polarized ¹²⁹Xe. Nature 370, 199-201 (1994).
• [19] Mugler, J. P. and Altes, T. A. Hyperpolarized ¹²⁹Xe MRI of the human lung. J. Magn. Reson. Imaging 37, 313-331 (2013).
• [20] Swansson, S. D., Rosen, M. S., Coulter, K. P., Welsh R. C., and Chupp T. E. Distribution and dynamics of laser-polarized ¹²⁹Xe magnetization in vivo. Magn. Reson. Med. 42, 1137-1145 (1999).
• [21] Spence, M. M. et al. Functionalized xenon as a biosensor. Proc Natl Acad Sci U.S.A. 98, 10654-10657 (2001).
• [22] Myers W. G., Dahl, J. R., and Graham, M. C. Krypton-79m: A New Radionuclide For applications in Nuclear Medicine. J. Nucl. Med. 27, 1436-1441 (1986).
• [23] Myers, W. G., Dahl, J. R., and Graham, M. C. Xenon-127m: A New Radionuclide for Applications in Nuclear Medicine. J. Nucl. Med. 31, 489-492 (1990).
• [24] Galina E. Paviovskaya et al., Hyperpolarized krypton-83 as a contrast agent for magnetic resonance imaging, Proc. Natl. Acad. Sci. U.S.A. 102, 18275-18279 (2005).
• [25] Luhmer, M. and Reisse, J., Quadrupole NMR relaxation of the noble gases dissolved in simple liquids and solutions: A critical review of experimental data in light of computer simulation results, Progress In Nucl. Mag. Res. Spectroscopy 33, 57-76 (1998).
• [26] Jain, A. K. et al. Atlas of Nuclear Isomers, Nuclear Data Sheets 128, 1-130 (2015).
• [27] Manfred Holz, New Developments in NMR of Simple Electrolyte Solutions, Progress in NMR Spectroscopy 18, 327-403 (1986).
• [28] Saam, B., Pulse-NMR Studies of Spin Relaxation Relevant to Laser-Polarized Noble Gases, Ph.D. thesis, Princeton University (1995).
• [29] Duhamela, G., Choquetb, P., Grillona, E., Leviela, J.-L., Zieglera, A. and Constantinescob, A., Mesures de la perfusion cérébrale chez le rat à l'aide de la RMN du ¹²⁹Xe hyperpolarisé: étude de luids biologiques vecteurs du ¹²⁹Xe, Comptes rendus de l'Académie des sciences, Paris, Chemie 4, 789-794 (2001).
• [30] Wu, Z., Happer, W., Kitano, M., and Daniels, J. Experimental studies of wall interactions of adsorbed spin-polarized ¹³¹Xe nuclei. Phys. Rev. A. 42, 2774-2784 (1990).
• [31] Zheng, Y., Low Field MRI and the Development of Polarized Nuclear Imaging (PNI)—A New Imaging Modality, Ph.D. thesis, University of Virginia (2014).
• [32] Roemer, P. B., Edelstein, W. A., Hayes, C. E., Souza, S. P., and O. M. Mueller, O. M., The NMR Phased Array. Magn. Reson. Med. 16, 192-225 (1990).
• [33] Reaching for the Horizon: The 2015 Long Rang Plan for Nuclear Science, publication of the U.S. Department of Energy, available at science.energy.gov.
• [34] Stone, N. J., Table of nuclear magnetic dipole and electric quadrupole moments, Atomic Data and Nuclear Data Tables 90, 75-176 (2005).
• [35] Atkins, T. M., Cassidy, M. C., Lee, M., Ganguly, S., Marcus, C. M. and Kauzlarich, S. M., Synthesis of Long T₁ Silicon Nanoparticles for Hyperpolarized ²⁹Si Magnetic Resonance Imaging, ACS Nano 7, 1609-1617 (2004).
• [36] Long, H. W. et al., High-Field Cross Polarization NMR from Laser-Polarized Xenon to a Polymer Surface, J. Am. Chem. Soc. 115, 8491-8492 (1993).
• [37] Navon, G. et al., Enhancement of Solution NMR and MRI with Laser-Polarized Xenon, Science 271, 1848-1851 (1996).
• [38] Moreno, K. M. et al., Transfer of hyperpolarization from long T₁ storage nuclei to short T₁ neighbors using FLOPSY-8, Journal of Magnetic Resonance 213, 187-191 (2011).
• [39] Gatzke, M., Cates, G. D., Driehuys, B., Fox, D., Happer, W., and Saam, B., Extraordinarily Slow Nuclear Spin Relaxation in Frozen Laser-Polarized ¹²⁹Xe, Phys. Rev. Lett. 70, 690-693 (1993).
• [40] Schaefer, S. R., Cates, G. D., and Happer, W., Determination of spin-exchange parameters between optically pumped rubidium and ⁸³Kr. Phys. Rev. A 41, 6063 (1990).
• [41] Hossein-Zadeh, G. and Soltanian-Zadeh, H. DCT acquisition and reconstruction of MRI. Proc. SPIE, Vol. 3338, Medical Imaging 1998: Image Processing, ed. Kenneth M. Hanson, 398-407 (1998).
• [42] Cates, G. D., White, D. J., Chien, T., Schaefer, S. R., Happer, W. Spin relaxation in gases due to inhomogeneous static and oscillating magnetic fields. Phys. Rev. A. 38, 5092 (1988).
• [43] Driehuys, B., Cates, G. D., Miron, E., Sauer, K., Walter, D. K., Happer, W. High-volume production of laser-polarized ¹²⁹Xe. Appl. Phys. Lett. 69:1668-1670 (1996).
• [44] Ruset, I. C., Ketel, S., Hersman, F. W., Optical pumping system design for large production of hyperpolarized ¹²⁹Xe. Phys. Rev. Lett. 96:053002 (2006).

Claims

1. A method for examining a target area of interest of a living subject, comprising: polarizing nuclei of a radioactive substance such that the spins of the nuclei are oriented in a specific direction, to generate a polarized radioactive tracer with anisotropic gamma ray emission, wherein the radioactive substance is selected such that the degree of anisotropy is enhanced;introducing the tracer into a living subject for delivery to a target area of interest in the subject, wherein the tracer is delivered such that nuclear spin relaxation of the tracer is inhibited during transport of the tracer to the target area of interest;detecting gamma rays from the gamma ray emission; andobtaining, based on the detected gamma rays and properties associated with the anisotropic gamma ray emission, at least one of imaging data and spectroscopic data associated with the tracer in the subject.

2. The method of claim 1, wherein delivering the tracer to the target area of interest such that nuclear spin relaxation of the tracer is inhibited during transport comprises encapsulating the tracer in microbubbles or nanobubbles and transporting the tracer while encapsulated in the respective microbubbles or nanobubbles.

3. The method of claim 1, wherein delivering the tracer to the target area of interest such that nuclear spin relaxation of the tracer is inhibited during transport comprises embedding the tracer in a nanoparticle and transporting the tracer while embedded in the nanoparticle.

4. The method of claim 1, wherein the radiological half-life of the radioactive substance is no more than several times the T1 in vivo and such that the radioactive substance is polarized to generate the polarized radioactive tracer and the radioactive tracer is delivered to the target area of interest in no more than several half lives.

5. The method of claim 1, wherein the radioactive substance has a radiological half-life of about 1 minute or less.

6. The method of claim 1, wherein the radioactive substance is selected such that the fraction of radioactive decays resulting in a gamma ray being used for obtaining the at least one of the imaging data and spectroscopic data is maximized.

7. The method of claim 1, wherein the radioactive substance has a branching ratio of at least about 27 percent to a gamma ray with anisotropic emission probability.

8. The method of claim 1, wherein the radioactive substance has a branching ratio of at least about 38 percent to a gamma ray with anisotropic emission probability.

9. The method of claim 1, wherein the tracer has a nuclear spin greater than ½.

10. The method of claim 1, wherein the radioactive substance is an isotope of a noble gas.

11. The method of claim 1, wherein the radioactive substance is 79mKr.

12. The method of claim 1, wherein the radioactive substance is 127mXe.

13. The method of claim 1, wherein polarizing the nuclei of the radioactive substance comprises spin-exchange optical pumping.

14. The method of claim 1, wherein polarizing the nuclei of the radioactive substance comprises dynamic nuclear polarization.

15. The method of claim 1, wherein polarizing the nuclei of the radioactive substance comprises accumulating the output of a polarized atomic beam.

16. The method of claim 1, further comprising reconstructing at least one image of the target area of interest based on the obtained imaging data.

17. The method of claim 16, wherein reconstructing the at least one image comprises performing a cosine transform on the obtained imaging data.

18. The method of claim 16, wherein reconstructing the at least one image comprises performing a Fourier transform on the obtained imaging data.

19. The method of claim 1, further comprising, based on the obtained at least one of imaging data and spectroscopic data, determining one or more characteristics of a physiological function or anatomical structure in the target area of interest of the subject.

20. The method of claim 1, further comprising applying at least one of radio frequency oscillating magnetic fields and spatially varying magnetic fields to the tracer.

21. The method of claim 20, wherein the at least one of the radio frequency oscillating magnetic fields and spatially varying magnetic fields applied to the tracer are configured to manipulate the orientation of the spins such as to manipulate the directional dependence of gamma ray emission from the tracer.

22. The method of claim 20, wherein the strength of the radio frequency oscillating magnetic fields varies spatially.

23. The method of claim 22, wherein the spatially varying radio frequency oscillating magnetic fields constitute radio frequency magnetic field gradients.

24. The method of claim 23, wherein the method comprises encoding spatial information associated with the polarized spin distribution using the radio frequency magnetic field gradients.

25. The method of claim 1, wherein detecting the gamma rays is performed using a single gamma detector.

26. The method of claim 1, wherein detecting the gamma rays is performed using a plurality of gamma detectors.

27. The method of claim 1, wherein obtaining the at least one of imaging data and spectroscopic data associated with the tracer comprises determining count rates corresponding to the rate at which the gamma rays are detected.

28. The method of claim 1, wherein obtaining the spectroscopic data comprises measuring Rabi precession frequencies in the subject.

29. The method of claim 1, wherein the spectroscopic data is associated with nuclear magnetic resonance spectroscopy and comprises at least one of chemical-shift frequencies, spectral intensities, and spin-relaxation rates.

30. A method for examining a target area of interest of a living subject, comprising: delivering a radioactive substance to a target area of interest in the subject;polarizing nuclei of the radioactive substance, following delivery of the radioactive substance to the target area of interest, such that the spins of the nuclei are oriented in a specific direction, to generate a polarized radioactive tracer with anisotropic gamma ray emission;detecting gamma rays from the gamma ray emission; andobtaining, based on the detected gamma rays and properties associated with the anisotropic gamma ray emission, at least one of imaging data and spectroscopic data associated with the tracer in the subject.

31. The method of claim 30, wherein the radioactive substance is selected such that the degree of anisotropy is enhanced.

32. The method of claim 30, wherein polarizing the nuclei of the radioactive substance comprises cross-polarization.

33. The method of claim 32, wherein the cross-polarization comprises polarizing the nuclei of the radioactive substance by proximately located hyperpolarized nuclei of another substance.

34. The method of claim 32, wherein the cross-polarization comprises applying radio frequency pulses configured to transfer polarization between sets of nuclei following delivery of the radioactive substance to the target area of interest.

35. A system for examining a target area of interest of a living subject, comprising: a polarizing system configured to polarize nuclei of a radioactive substance such that the spins of the nuclei are oriented in a specific direction, to generate a polarized radioactive tracer with anisotropic gamma ray emission, wherein the radioactive substance is selected such that the degree of anisotropy is enhanced;a delivery system configured to introduce the tracer into a living subject for delivery to a target area of interest in the subject, wherein the tracer is delivered such that nuclear spin relaxation of the tracer is inhibited during transport of the tracer to the target area of interest;at least one gamma detector configured to detect gamma rays from the gamma ray emission; anda data acquisition system configured to obtain, based on the detected gamma rays and properties associated with the anisotropic gamma ray emission, at least one of imaging data and spectroscopic data associated with the tracer in the subject.

36. The system of claim 35, wherein delivering the tracer to the target area of interest such that nuclear spin relaxation of the tracer is inhibited during transport comprises encapsulating the tracer in microbubbles or nanobubbles and transporting the tracer while encapsulated in the respective microbubbles or nanobubbles.

37. The system of claim 35, wherein delivering the tracer to the target area of interest such that nuclear spin relaxation of the tracer is inhibited during transport comprises embedding the tracer in a nanoparticle and transporting the tracer while embedded in the nanoparticle.

38. The system of claim 35, wherein the radiological half-life of the radioactive substance is no more than several times the T1 in vivo and such that the radioactive substance is polarized to generate the polarized radioactive tracer and the radioactive tracer is delivered to the target area of interest in no more than several half lives.

39. The system of claim 35, wherein the radioactive substance has a radiological half-life of about 1 minute or less.

40. The system of claim 35, wherein the radioactive substance is selected such that the fraction of radioactive decays resulting in a gamma ray being used for obtaining the at least one of the imaging data and spectroscopic data is maximized.

41. The system of claim 35, wherein the radioactive substance has a branching ratio of at least about 27 percent to a gamma ray with anisotropic emission probability.

42. The system of claim 35, wherein the radioactive substance has a branching ratio of at least about 38 percent to a gamma ray with anisotropic emission probability.

43. The system of claim 35, wherein the tracer has a nuclear spin greater than ½.

44. The system of claim 35, wherein the radioactive substance is an isotope of a noble gas.

45. The system of claim 35, wherein the radioactive substance is 79mKr.

46. The system of claim 35, wherein the radioactive substance is 127mXe.

47. The system of claim 35, wherein polarizing the nuclei of the radioactive substance comprises spin-exchange optical pumping.

48. The system of claim 35, wherein polarizing the nuclei of the radioactive substance comprises dynamic nuclear polarization.

49. The system of claim 35, wherein polarizing the nuclei of the radioactive substance comprises accumulating the output of a polarized atomic beam.

50. The system of claim 35, further comprising an imaging system configured to reconstruct at least one image of the target area of interest based on the obtained imaging data.

51. The system of claim 50, wherein reconstructing the at least one image comprises performing a cosine transform on the obtained imaging data.

52. The system of claim 50, wherein reconstructing the at least one image comprises performing a Fourier transform on the obtained imaging data.

53. The system of claim 35, configured to, based on the obtained at least one of imaging data and spectroscopic data, determine one or more characteristics of a physiological function or anatomical structure in the target area of interest of the subject.

54. The system of claim 35, further comprising a system configured to apply at least one of radio frequency oscillating magnetic fields and spatially varying magnetic fields to the tracer.

55. The system of claim 54, wherein the at least one of the radio frequency oscillating magnetic fields and spatially varying magnetic fields applied to the tracer are configured to manipulate the orientation of the spins such as to manipulate the directional dependence of gamma ray emission from the tracer.

56. The system of claim 54, wherein the strength of the radio frequency oscillating magnetic fields varies spatially.

57. The system of claim 54, wherein the spatially varying radio frequency oscillating magnetic fields constitute radio frequency magnetic field gradients.

58. The system of claim 57, wherein the radio frequency magnetic field gradients are used to encode spatial information associated with the polarized spin distribution.

59. The system of claim 35, wherein the at least one gamma detector is a single gamma detector.

60. The system of claim 35, wherein the at least one gamma detector comprises a plurality of gamma detectors.

61. The system of claim 35, wherein obtaining the at least one of imaging data and spectroscopic data associated with the tracer comprises determining count rates corresponding to the rate at which the gamma rays are detected.

62. The system of claim 35, wherein obtaining the spectroscopic data comprises measuring Rabi precession frequencies in the subject.

63. The system of claim 35, wherein the spectroscopic data is associated with nuclear magnetic resonance spectroscopy and comprises at least one of chemical-shift frequencies, spectral intensities, and spin-relaxation rates.

64. A system for examining a target area of interest of a living subject, comprising: a delivery system for delivering a radioactive substance to a target area of interest in the subject;a polarizing system configured to polarize nuclei of the radioactive substance, following delivery of the radioactive substance to the target area of interest, such that the spins of the nuclei are oriented in a specific direction, to generate a polarized radioactive tracer with anisotropic gamma ray emission;at least one gamma ray detector configured to detect gamma rays from the gamma ray emission; anda data acquisition system configured to obtain, based on the detected gamma rays and properties associated with the anisotropic gamma ray emission, at least one of imaging data and spectroscopic data associated with the tracer in the subject.

65. The system of claim 64, wherein the radioactive substance is selected such that the degree of anisotropy is enhanced.

66. The system of claim 64, wherein polarizing the nuclei of the radioactive substance comprises cross-polarization.

67. The system of claim 66, wherein the cross-polarization comprises polarizing the nuclei of the radioactive substance by proximately located hyperpolarized nuclei of another substance.

68. The system of claim 66, wherein the cross-polarization comprises applying radio frequency pulses configured to transfer polarization between sets of nuclei following delivery of the radioactive substance to the target area of interest.