Abstract
Fluorine magnetic resonance spectroscopy (MRS) and magnetic resonance imaging (MRI) of chemical and physiological processes is becoming more widespread. The strength of this technique comes from the negligible background signal in in vivo19F MRI and the large chemical shift window of 19F that enables it to image concomitantly more than one marker. These same advantages have also been successfully exploited in the design of responsive 19F probes. Part of the recent growth of this technique can be attributed to novel designs of 19F probes with improved imaging parameters due to the incorporation of paramagnetic metal ions. In this review, we provide a description of the theories and strategies that have been employed successfully to improve the sensitivity of 19F probes with paramagnetic metal ions. The Bloch-Wangsness-Redfield theory accurately predicts how molecular parameters such as internuclear distance, geometry, rotational correlation times, as well as the nature, oxidation state, and spin state of the metal ion affect the sensitivity of the fluorine-based probes. The principles governing the design of responsive 19F probes are subsequently described in a “how to” guide format. Examples of such probes and their advantages and disadvantages are highlighted through a synopsis of the literature.
Fluorine MRS and MRI
Fluorine magnetic resonance imaging (MRI) was first reported in 1977, just four years after the development of 1H MRI, by Holland who acquired phantom images of NaF and perfluorotributylamine (Holland et al., ). In 1985, McFarland obtained the first 19F in vivo MR images of a rat using a fluorinated probe which accumulates in the liver, Fluosol-DA (McFarland et al., ). These pioneering studies demonstrated the key advantages of fluorine nuclei for magnetic resonance spectroscopy (MRS) and imaging (MRI). Today, these advantages are still exploited for monitoring a variety of biological analytes and processes.
The fluorine nuclei (19F, I = ) is attractive due to its 100% abundance and high receptivity (83% that of 1H). These attributes make it comparable to the 1H nuclei (Knight et al., ; Ruiz-Cabello et al., ). Further, the similar gyromagnetic ratios (γ) of 19F and 1H allow images to be collected on broadband 1H MRI scanners provided broadband amplifiers and dedicated radiofrequency coils are employed to accommodate the slower Larmor frequency of 19F (Stares et al., ). The primary advantage of 19F probes over 1H MRI contrast agents is that the background signal in 19F MRI is negligible. The body contains low amounts of fluorine that are primarily embedded in the solid matrices of bones and teeth. As a result, those fluorines have very short transverse relaxation times (T2) and very broad signals that are easily removed with appropriate pulse sequences (Yu et al., ). On the other hand, T1 (longitudinal relaxation times) and T2-based 1H MRI contrast agents, which are primarily gadolinium- and iron oxide nanoparticle-based, generate contrast by modulating the relaxation rates of the naturally-occurring water molecules. The significant background from the endogenous water can render certain imaging more difficult. In addition, 19F nuclei have a large chemical shift range, >300 ppm, that readily allows for the design of fluorine probes featuring two distinct resonances that can be independently imaged if they are sufficiently separated. As will be discussed later, this property is advantageous in the design of ratiometric responsive 19F MRI probes. Ratiometric probes can independently map the distribution of the probe and target analyte in vivo and enable tracking of different cell types or monitoring of multiple markers simultaneously.
Improving the sensitivity of 19F probes
Despite the advantages of 19F MRS and MRI, this field is limited by its low sensitivity that requires the use of high concentrations of probe, typically between 10 and 50 mM. In comparison, Gd-based T1 contrast agents can be readily detected in vivo at substantially lower concentrations (0.1 μM) (Helm et al., ). This low sensitivity is due in part to the fact that only the 19F nuclei of the probe are detected. Those nuclei are inherently less concentrated than the 1H of H2O used in 1H MRI, hence the lower sensitivity. This issue is usually addressed by increasing the local concentration of 19F nuclei. A second underlying problem of 19F probes, and particularly diamagnetic ones, is the long T1 relaxation times of 19F, typically 0.5–3 s for small diamagnetic compounds, which necessitate long image acquisition times in order to obtain sufficient signal-to-noise ratio (SNR). This issue is best addressed via the incorporation of appropriate paramagnetic metal ions that shorten the relaxation rates of the 19F nuclei.
Increasing sensitivity by increasing the density of 19F nuclei
The most straightforward approach to increasing 19F MRS/MRI signal intensity is simply to increase the local concentration of 19F nuclei. This is most often accomplished by increasing the number of 19F nuclei on the probe. Complications of this approach are attributed to the hydrophobicity of fluorine which decreases the solubility of a probe in water and affects biodistribution and clearance. Nonetheless, many perfluorocarbons have successfully been used as 19F MRS/MRI oximetry sensors and 19F cell tracking agents provided they are injected as stable emulsions formulated to optimize clearance (Janjic and Ahrens, ; Ruiz-Cabello et al., ). Highly fluorinated molecules are mostly inert and considered non-toxic, which has facilitated their use in vivo and translation to humans. For instance, fluorinated nano-emulsions are undergoing a phase I clinical trial for 19F MRI cell tracking applications (Ahrens and Zhong, ; Ahrens et al., ). However, not all fluorinated compounds can be assumed to be entirely non-toxic, especially at the high concentrations required for 19F MRS/MRI. For instance, perfluorooctane sulfonate (PFOS) and perfluorooctanoic acid (PFOA) are both known to affect the function of the pancreas, thyroid, and liver (Chang et al., ; Kamendulis et al., ).
An often overlooked complication of perfluorinated probes arise when their 19F nuclei are not chemically equivalent. Non-equivalent 19F nuclei of a probe that have small frequency differences between the 19F resonances result in blurry MR images that are the result of incomplete overlap of the images resulting from each 19F resonance (Janjic et al., ). This substantially complicates image acquisition, can lead to artifacts, and decreases SNR. It is thus best to increase the number of fluorines in such a way that they remain chemically equivalent.
One of the most efficient ways to ensure that each 19F nuclei is chemically equivalent is to incorporate high molecular symmetry in the design. Transition metal and lanthanide complexes with C3 or C4 symmetry are ideally suited for this application if the ligands are fluorinated appropriately. The macrocyclic DOTA (1,4,7,10-tetraazacyclododecane-1,4,7,10-tetraacetic acid) ligand, for instance, adopts a pseudo C4 symmetry in which the acetate arms are arranged in a propeller-like fashion above the plane of the coordinating nitrogen atoms. Four possible isomers exist for this system based on the combination of two macrocyclic ring configurations (square prismatic or square antiprismatic) and the two possible arrangements of the acetate arms (Caravan et al., ; Benetollo et al., ). The substituents on the acetate arms and the LnIII ion both influence the ratio of isomers observed by NMR such that one isomer can be favored over the others (Parker et al., ). The judicial choice of the macrocycle's arms has a notable impact on the 19F NMR spectra of this class of macrocycles and on their effectiveness to function as 19F MRS/MRI probes. Ln(F-DOTPME)− (1,4,7,10,-tetraazacyclododecane-1,4,7,10-tetrakis(methanephosphonic acid mono(2′,2′,2′-trifluoroethyl) ester)), the lanthanide complex of the tetra trifluoroethyl-substituted DOTMP (1,4,7,10-tetraazacyclododecane-1,4,7,10-tetrayl-tetrakis(methylphosphonic acid)) analog (1, Figure 1; Kim et al., ), for instance, exists in solution at room temperature as a mixture of all eight isomers, which results in the presence of eight distinct 19F peaks within a 12 (YbIII) to 70 ppm (TmIII) range. As discussed above, the presence of these different isomers limits the efficacy of these complexes to function as 19F MR probes. The metal complexes of the tetra substituted DOTA with aryl-CF3 groups (11, Figure 1; Chalmers et al., ) exist primarily as one isomer, whose proportion depends on the nature of the lanthanide ion. This ligand is therefore better suited for 19F MRI applications. The problem of multiple isomers is not limited to tetra-substituted macrocyclic derivatives. In fact, many DOTA analogs with only one or two fluorinated arms are present in solution as more than one isomer (2–4), the percentage of which varies according to the lanthanide (Kenwright et al., ; Chalmers et al., ; Placidi et al., ; Cakic et al., ).
Figure 1
Substitution of one or more carboxylate arms with bulky phosphinate groups or the introduction of substituent at the α-position to the ring nitrogen affects this dynamic process. For instance, Chalmers et al. reported two DOTA derivatives incorporating two trifluoroaryl groups and either two carboxylic acid or two glutaric acid substituents at the α-position to the ring nitrogen (5 and 6, Figure 1) (Chalmers et al.,
A single isomer for a tetra-substituted DOTA complex which exploits the symmetry of the ligand in order to maximize the number of equivalent fluorines can nonetheless be obtained. Examples include M-DOTAm-F12 (2,2′,2″,2‴-(1,4,7,10-tetraazacyclododecane-1,4,7,10-tetrayl)tetrakis(N-(2,2,2-trifluoroethyl)acetamide)) (12, Figure 1; Srivastava et al.,
Increasing sensitivity with paramagnetic metal ions
Increasing the number of 19F nuclei per agent can only go so far in terms of increasing the sensitivity of 19F probes. Ultimately, there is a limit to the number of 19F nuclei that can be added to a molecule in such a way that they are chemically equivalent all the while maintaining sufficient water solubility for in vivo applications. A complementary approach to increasing the number of 19F nuclei that is often used simultaneously is to decrease the T1 of the 19F nuclei. Diamagnetic molecules typically have T1 of 19F nuclei in the range of 0.5–3 s. For in vivo imaging applications, that are limited by time, the long T1 of diamagnetic fluorine probes hinders their sensitivity (Harvey et al.,
The effect of a paramagnetic metal ion on the T1 and T2 of a 19F nuclei is described by the Bloch-Wangsness-Redfield theory. A 19F nuclei adjacent to a paramagnetic center in a magnetic field can relax via five different mechanisms: (1) chemical shift anisotropy, (2) inter-nuclear dipole-dipole interaction, (3) electron-nucleus contact interaction, (4) electron-nucleus dipole-dipole interaction, and (5) Curie relaxation (Chalmers et al.,
where
In these equations, d is the distance separating the 19F nuclei from the paramagnetic metal ion, μ0 is the permeability of vacuum, γF is the gyromagnetic ratio of the 19F nuclei, T is the temperature in K, k is Boltzmann's constant, and ωF is the Larmor angular frequency of 19F. The effective magnetic moment, μeff, is proportional to the effective electron g-factor (gJ), the Bohr magneton (μB), and the electron angular momentum, J(J+1) according to Equation (3). The electron angular frequency (ωe) is a function of the magnetic field strength (B0) according to Equation (4) in which ℏ is the reduced Planck's constant. The τR+e term is dependent on the rotational correlation time (τR) and the electron spin longitudinal relaxation time (T1e) according to Equation (5).
In Equations (1) and (2), the first term represents the dipolar relaxation characterized by the stochastic electron magnetization of the electron-nucleus dipole-dipole interaction. The second term is the Curie relaxation arising from the interaction between the fluorine nuclear spin and the magnetic dipole induced by the applied magnetic field. Together, they relate R1 and R2 to the effective magnetic moment (μeff) of the paramagnetic metal, the 19F–metal distance (d), the rotational correlation time (τR), the applied magnetic field strength (B0), and the temperature (T). Optimizing the sensitivity of 19F MRS/MRI probes requires understanding each of these relationships.
Dependence on the nature of the metal ion
The effective magnetic moment (μeff) of the paramagnetic metal affects both the electron-nucleus dipole-dipole interaction and, to a greater extent, the Curie relaxation mechanism. The effective magnetic moment of transition metal complexes is a function of both their oxidation state and their ligand fields. Each lanthanide ion has a characteristic μeff value (Table 1).
Table 1
| Lanthanide ion | Ground state term | μeff (B.M.)a | μeff (exp)b | Bleany Constant (Cj)c | Electron relaxation time (T1e)/10−13 sd |
|---|---|---|---|---|---|
| CeIII | 2F5/2 | 2.56 | 2.55 | −6.3 | 0.90 |
| PrIII | 3H4 | 3.62 | 3.47 | −11.0 | 0.57 |
| NdIII | 4I9/2 | 3.68 | 3.69 | −4.2 | 1.15 |
| PmIII | 5I4 | 2.68 | 2.41 | 2.0 | Unknown |
| SmIII | 6H5/2 | 1.55–1.65 | 1.58 | −0.7 | 0.45 |
| EuIII | 7F0 | 3.40–3.51 | 3.4 | 4.0 | 0.09 |
| EuII | 8S7/2 | 7.6–8.0 | 0 | 104e | |
| GdIII | 8S7/2 | 7.94 | 7.63 | 0 | 104-105f |
| TbIII | 7F6 | 9.7 | 9.8 | −86 | 2.03 |
| DyIII | 6H15/2 | 10.6 | 10.3 | −100 | 2.99 |
| HoIII | 5I8 | 10.6 | 10.4 | −39 | 1.94 |
| ErIII | 4H15/2 | 9.6 | 9.4 | 33 | 2.38 |
| TmIII | 3H6 | 7.6 | 7.6 | 53 | 3.69 |
| YbIII | 2F7/2 | 4.5 | 4.3 | 22 | 1.37 |
Magnetic and relaxation properties of lanthanide(III) ions.
(Gysling and Tsutsui,
(Gysling and Tsutsui,
(Bleaney,
aqua ion, 2.1 T (Alsaadi et al.,
value for EuII was calculated using formula in Burai et al. (
Bertini et al. (
The effect of the nature of the transition or lanthanide ion on the relaxation rates of the 19F nuclei of fluorinated complexes and the sensitivity of the resulting fluorine probe has been explored via a series of non-responsive probes. Several fluorinated ligands have been investigated, which enables a more in-depth evaluation of the influence of the structure of the ligand on the 19F relaxation rates of the probe (Figure 1, Table 2). Studies by Parker and coworkers focused on a DOPA ([(4,7,-di{[hydroxyl(methyl)phosphoryl]methyl}-10-({[2-(trifluoromethyl)phenyl]carbamoyl}methyl)-1,4,7,10-tetraazacyclododecan-1-yl)methyl](methyl)phosphinic acid) ligand monosubstituted with ortho aryl-CF3 (7) and DOTA ligand scaffold tetra substituted with aryl-CF3 groups (11) (Chalmers et al.,
Table 2
| Ligand (B0) | LnIII | δ (ppm) | Δδ (ppm) | R1 (Hz) | T1 (ms) | R2 (Hz) | T2 (ms) | T2/T1 |
|---|---|---|---|---|---|---|---|---|
| 2 (7.0 T)a | EuIII | −61.8 | n.d. | 1.4 | 714 | 18h | 56 | 0.078 |
![]() | −61.4 | 1.4 | 714 | 19i | 53 | 0.074 | ||
| GdIII | −61.6 | n.d. | 182 | 5.5 | 385 | 2.6 | 0.47 | |
| TbIII | −65.2 | n.d. | 32h | 31 | 48h | 21 | 0.68 | |
| −55.6 | 12i | 83 | 28i | 36 | 0.43 | |||
| 3 (7.0 T)b | Ligand | −61.24 | n.d. | n.d. | n.d. | n.d. | n.d. | n.d. |
![]() | GdIII | −60.45 | n.d. | 322.6 | 3.1 | 500 | 2.0 | 0.65 |
| YbIII | −60.54 | n.d. | 3.7 | 273 | 238 | 4.2 | 0.015 | |
| 4 (9.4 T)c* | YIII | −62 | 0 | n.d. | n.d. | n.d. | n.d. | n.d. |
![]() | TbIII | −51.9 | 10.1 | 116 | 8.62 | 119 | 8.4 | 0.975 |
| DyIII | −64.9 | −2.9 | 139 | 7.19 | 220 | 4.55 | 0.632 | |
| HoIII | −64.2 | −2.2 | 109 | 9.17 | 151 | 6.62 | 0.722 | |
| ErIII | −64.8 | −2.8 | 65 | 15.38 | 157 | 6.37 | 0.414 | |
| TmIII | −77.4 | −15.4 | 51 | 19.61 | 91 | 10.99 | 0.56 | |
| 5 (9.4 T)c* | TbIII | −61.9 | n.d. | 2.8 | 357.14 | 132 | 7.58 | 0.021 |
![]() | DyIII | −99.8 | n.d. | 158 | 6.33 | 213 | 4.69 | 0.742 |
| HoIII | −57.7 | n.d. | 91 | 10.99 | 159 | 6.29 | 0.572 | |
| ErIII | −58.6 | n.d. | 81 | 12.35 | 164 | 6.10 | 0.494 | |
| TmIII | −68.2 | n.d. | 56 | 17.86 | 102 | 9.80 | 0.549 | |
| 7 (9.4 T)c | YIII | −61.2 | 0 | 15 | 66.7 | |||
![]() | TbIII | −47.7 | 13.5 | 147 | 6.8 | 267 | 3.75 | 0.55 |
| DyIII | −63.6 | −2.4 | 185 | 5.41 | 251 | 3.98 | 0.737 | |
| HoIII | −61.5 | −0.3 | 120 | 8.33 | 143 | 6.99 | 0.839 | |
| ErIII | −72.6 | −11.4 | 109 | 9.17 | 138 | 7.25 | 0.79 | |
| TmIII | −89.5 | −28.3 | 63 | 15.87 | 84 | 11.9 | 0.75 | |
| 10 (11.7 T)d | ligand | −71.2 | 0.752 | 1330 | 1.43 | 701 | 0.53 | |
![]() | YIII | −71.1 | 0 | 0.66 | 1514 | 1.28 | 783 | 0.52 |
| GdIII | −66.6 | −4.5 | 236 | 4.24 | 602 | 1.66 | 0.39 | |
| TbIII | −63.3 | −7.8 | 13.8 | 72.6 | 24.0 | 41.7 | 0.57 | |
| 11 (9.4 T)e | YIII | −61.6 | 0 | 0.78 | 1282 | 2.9 | 345 | 0.27 |
![]() | TbIII | −53.9 | 7.7 | 185 | 5.41 | n.d. | n.d. | n.d. |
| HoIII | −59 | 2.6 | 192 | 5.21 | n.d. | n.d. | n.d. | |
| ErIII | −63.5 | −1.9 | 109 | 9.17 | n.d. | n.d. | n.d. | |
| TmIII | −65.1 | −3.5 | 59.7 | 16.8 | n.d. | n.d. | n.d. | |
| 12 (7.0 T)f | ligand | −72.7 | 1.1 | 880 | 1.5 | 680 | 0.77 | |
![]() | LaIII | −72.1 | 0 | 1.8 | 570 | 2.5 | 400 | 0.70 |
| EuIII | −72.4 | −0.3 | 2.8 | 360 | 24 | 41 | 0.11 | |
| GdIII | −72.0 | 0.1 | 83 | 12 | 7100 | 0.14 | 0.01 | |
| TbIII | −54.1 | 18.0 | 160 | 6.3 | 770 | 1.3 | 0.21 | |
| DyIII | −52.4 | 19.7 | 170 | 5.9 | 450 | 2.2 | 0.37 | |
| HoIII | −61.8 | 10.3 | 130 | 7.6 | 190 | 5.4 | 0.71 | |
| ErIII | −76.5 | −4.4 | 71 | 14 | 110 | 8.8 | 0.63 | |
| TmIII | −83.3 | −11.2 | 39 | 26 | 63 | 16 | 0.62 | |
| YbIII | −75.9 | −3.8 | 7.7 | 130 | 18 | 55 | 0.42 | |
| FeII | −70.1 | 2.0 | 180 | 5.7 | 180 | 5.6 | 0.98 | |
| 13 (7.0 T)g | ligand | −68.9 | 2000 | 0.5 | 20 | 50 | 0.1 | |
![]() | NiII | −26 | n.d. | 357 | 2.8 | 1111 | 0.9 | 0.32 |
19F chemical shift and relaxation properties for non-responsive paramagnetic fluorine probes.
Data listed for major isomers in solution.
(Cakic et al.,
(Placidi et al.,
(Chalmers et al.,
(Jiang et al.,
(Chalmers et al.,
(Srivastava et al.,
(Blahut et al.,
Major isomer.
Minor isomer.
Recently, our lab reported the relaxation properties of the FeII and LnIII complexes of another macrocyclic ligand, DOTAm-F12 (12) (Srivastava et al.,
The sensitivity of an agent, estimated by comparing SNR of solutions of complexes at the same concentration, is dependent not only on T1 but also on T2. The line-broadening characteristic of the shorter T2 of the fluorines of certain paramagnetic complexes significantly affect the sensitivity of the probe. An extreme example being the GdIII complex of DOTAm-F12 that has such a short T2 that the complex could not be observed by MRI. Note that for such complexes with rapid transverse relaxation, the use ultrashort TE (UTE) and zero TE (ZTE) acquisition pulse sequences can sometimes increase the SNR in 19F-MRI (Kislukhin et al.,
Not all paramagnetic metals affect T2 to the same degree as T1. Therefore, the most sensitive metal-based probes are not those whose metal ions have the highest μeff, but those whose 19F have the highest T2/T1 ratio. For M-DOTAm-F12 in water, these are FeII, HoIII, TmIII, and YbIII. Importantly, the media also has a substantial effect on the relaxation times, and particularly on the transverse one. The T2 of all M-DOTAm-F12 complexes decrease substantially in blood. This affects the sensitivity of all metal complexes. HoIII-DOTAm-F12, for instance, is the most sensitive probe in water, yet it could not be detected in blood. The lower T2 value of M-DOTAm-F12 complexes in blood in comparison to water could be due to different parameters. Coordination to albumin or other serum proteins and the resulting increase in rotational correlation time can affect both T1 and T2. Blood is also more viscous than water, and this increase in viscosity also affects τR, T1, and T2. One should therefore not assume that a probe that is sensitive in water is necessarily appropriate for in vivo applications where it will accumulate in blood or tissues. It is therefore recommended that the sensitivity of probes be evaluated not only in water but also in the media in which they are intended to be used. Also note that the greatest effect is not necessarily obtained with lanthanide ions. In blood, the most sensitive probe is FeII-DOTAm-F12 whose limit of detection (300 μM) is more than an order of magnitude lower than that of small diamagnetic probes.
Similar trends have been observed with other lanthanide complexes, such as 2–5, 7, and 10–12 (Figure 1, Table 2). In general, the stronger relaxing metals with the higher μeff near 10, TbIII, DyIII, and HoIII decrease both T1 and T2 the most. Lanthanides such as ErIII, TmIII, and in the extreme case GdIII, have lower T2/T1 ratio and hence lower sensitivity (Table 2) (Chalmers et al.,
Even at greater 19F–M distances, the effect of the paramagnetic metal ion on the relaxation rates of the fluorine nuclei can be notable. The fluorinated complex of Jiang (10, Figure 1) is a DOTA-based complex containing three equivalent trifluoromethyl groups separated by a polyethylene glycol linker that positions the 19F nuclei more than 10 Å away from the paramagnetic metal ion. Despite this great distance, paramagnetic metals such as TbIII, DyIII, HoIII, ErIII, GdIII, FeIII, NiII, and CuII reduce T1 and T2 by >95% (Jiang et al.,
Dependence on the 19F-metal distance
From the Bloch-Wangsness-Redfield Equations (1–5) given above, both the R1 and the R2 of the fluorine nuclei have a steep dependence on the distance d separating the 19F nuclei from the metal ion. The 19F–M distance is a key parameter in determining the sensitivity of metal-based fluorine probes. The effect of the paramagnetic metal ion on R2 extends to longer distances than that of R1. Both too long and too short a distance can be detrimental. Too long a 19F–M distance and the effect of the paramagnetic metal ion on the relaxation times of the fluorine nuclei is severely diminished. Too short a distance, and the substantial shortening of T2 decreases the sensitivity of the fluorine probe. A higher T2/T1 ratio and thus a more sensitive fluorine probe is obtained if the 19F nuclei are positioned between 4.5 and 7.5 Å from the metal ion (Harvey et al.,
Within this range, even minor changes in 19F–M ion distance can have an impact on the relaxation rates of fluorine nuclei and the sensitivity of the agent. One such example are the lanthanide complexes containing a single aryl-CF3 moiety positioned either on an acetate-based DOTA (4, Figure 1) or a phosphinate-based DOPA (7, Figure 1) scaffold. The DOTA complexes (4) exists in solution as a mixture of multiple isomers with the primary species representing only 50% of the fluorine signal intensity by NMR. On the other hand, the principal isomer of the phosphinate analog (7) accounts for 87% of the total 19F signal intensity (Chalmers et al.,
The effect that such minor modifications of the ligand and the structure of the complex have on the T2/T1 ratio and the sensitivity of the probe has been observed with other complexes. The YbIII -DO3A (1,4,7,10-tetraazacyclododecane-1,4,7-tris(acetic acid))-based complex with a fluorinated aryl phosphonate of Angelovski, (3, Figure 1) positions the 19F nuclei 7 Å from the metal, a 19F–Yb distance 0.7 Å greater than in Yb-DOTAm-F12 (Placidi et al.,
Supramolecular self-assembly enables more facile synthesis of paramagnetic fluorine probes via the formation of ternary complexes. Given the hardness of lanthanide ions, fluorinated carboxylate ligands are particularly well-suited for this approach (8 and 9, Figure 1) (Davies et al.,
Similarly, paramagnetic metals have also been employed to increase the relaxation rates of fluorine nuclei in perfluorinated emulsions. Perfluorocarbon-based emulsions present an advantage over monomolecular complexes in that they contain a higher density of fluorine nuclei which increases their sensitivity. The design and application of perfluorocarbon tracers for 19F MRI have been reviewed elsewhere. (Knight et al.,
Figure 2

Schematic representations of paramagnetic perfluorocarbon nanoparticles. Gd-complexes are embedded into lipid monolayers that encapsulate perfluorocarbon cores (14, Neubauer et al.,
These previous examples positioned the paramagnetic metal ions on the surface of the nanoparticles and, thus, a significant distance away from the 19F nuclei. To resolve this issue Kislukhin et al. designed nanoparticles that incorporated the paramagnetic metal ions directly into the fluorous core, thereby decreasing the 19F–M distance (Kislukhin et al.,
Dependence on the magnetic field strength
As the Bloch-Wangsness-Redfield theory indicates, both the R1 and R2 of fluorine nuclei depend on the strength of the magnetic field (Figures 3A,B, respectively). The magnetic field dependencies of R1 and R2 are also a function of the μeff of the metal ion and as such, different metal ions are better suited for either low field or high field experiments. A steeper increase in R1 with respect to magnetic field strength is observed for DyIII and HoIII complexes of para-hydroxyl derivative of 4 than for its TmIII and TbIII, and ErIII complexes (Chalmers et al.,
Figure 3

Effect of applied magnetic field, B, and the rotational correlation time, τR on (A) longitudinal relaxation rate (R1) and (B) transverse relaxation rate (R2) of 19F nuclei in [Tm-DOTAm-F12]3+. The analysis is based on Equation (1) for R1 or (2) for R2 and is done at 37°C using the mean 19F–TmIII distance determined from X-ray crystallography (6.26 Å), assuming a magnetic moment, μeff, of 7.6 BM and an electronic relaxation time, τe, of 0.20 ps, values typical of TmIII complexes.
The higher relaxation rates of fluorine nuclei of paramagnetic complexes allow for the collection of more data per unit time. Consequently, PRE increases both the spectral sensitivity and the SNR of paramagnetic fluorine agents compared to their diamagnetic analogs. Chalmers et al. demonstrated that the DyIII of fluorinated DOPA complex (7) increased the image SNR ~ 13-fold compared to the diamagnetic YIII analog (Chalmers et al.,
The effect of the rotational correlation time, τR
Both the R1 and R2 of fluorine nuclei are affected by their rotational correlation time (τR) as well as by the field strength of the instrument (B0) and the temperature of the sample. Both R1 and R2 increase as the magnetic field strength (B0) increases. This increase is far more significant if the rotational correlation time, τR, is also optimized. Macromolecules, which tumble more slowly (longer τR), have higher R2. As can be seen in Figure 3B, R2 increases drastically for 19F nuclei with τR > 1,000 ps, especially at high magnetic field (>7 T). The resulting extreme line broadening explains why fluorines embedded in bones and teeth in the body are not visible by MRI. The effect of τR on R1 is more complicated (Figure 3A). R1 increases to a maximum when the tumbling rate of the M-19F vector () equals the Larmor frequency of the 19F nuclei; i.e., when = 1 (Modo and Bulte,
There are limited examples in the literature of macromolecular fluorinated probes that feature a paramagnetic center. They are mostly used to increase the number of 19F nuclei per unit. For example, the polymeric DyIII-chitosan conjugate, 21 (Figure 4), increases the relaxation rates of the fluorines via the PRE effect (De Luca et al.,
Figure 4

Non-responsive polymeric paramagnetic fluorine probes (21–23, De Luca et al.,
One should note that although macromolecular paramagnetic fluorine probes are rare, their diamagnetic analogs are more common. Several macromolecular structures based on hyperbranched polymers, dendrimers, or nanoparticles that incorporate a high number of 19F nuclei have been described (Du et al.,
Exploiting the metal ion to design responsive fluorine probes
Applications of the bloch-wangsness-redfield theory to the design of responsive fluorine probes
Advantageously, a paramagnetic metal ion that alters T1 and T2 of the fluorine nuclei can also modulate their chemical shift (19FΔδ). Since variations in each of these three variables can readily be observed both by MRS and by MRI, paramagnetic fluorine complexes offer unique mechanisms for the development of responsive MR probes that often yield much greater response than their purely organic analogs (Yu et al.,
The PRE effect described in the previous section of this review is the basis for the improved sensitivity on a per 19F basis of paramagnetic probes as compared to their organic counterparts. It is the substantial shorter T1 and higher T2/T1 ratio of paramagnetic fluorinated complexes that enables more scans to be acquired in the same amount of time thereby yielding higher SNR both by 19F MRS and MRI. Analysis of the Bloch-Wangsness-Redfield Equations (1–5) indicate that at constant applied magnetic field (the same scanner) and for the same metal ion, T1 and T2 are a function of primarily one parameter: the distance d separating the 19F nuclei from the metal ion. This parameter can be altered significantly by binding to or reacting with a substrate. Herein lies a substantial advantage of paramagnetic metal ions in fluorine probes: they readily enable the design of responsive and ratiometric molecular probes.
The dependence of T1 and T2 on the distance separating the fluorine nuclei from the lanthanide ion has already been applied to the design of responsive paramagnetic fluorine probes. As depicted in Figure 5, this distance can be altered either by reacting with a target or by induced conformational change upon binding to the desired analyte. The former approach yields an irreversible response, although one that can enable the detection of targets such as enzymes that are present at lower concentrations. The latter approach can lead to a reversible response but given the enduring limits in the sensitivity of fluorine probes, it is more appropriate for biological analytes present at substantially higher concentrations such as pH or certain small molecules or metal ions.
Figure 5

Modulating the response of 19F-paramagnetic metal probes by altering the distance separating the lanthanide ion from the 19F nuclei: (A) cleavage of the 19F-M distance spacer by the analyte and release of the fluorinated moiety; (B,C) analyte-triggered conformational change of the probe upon binding or reacting with the spacer.
Current examples of this class of responsive probes use for the most part GdIII. As described in the previous section, GdIII has a notable effect on the T1 of nearby nuclei, and, importantly, a substantially more pronounced one on T2. Indeed, among the lanthanides, GdIII typically offers the lowest T2/T1 ratio (Table 2). As a result of this very low ratio, the peaks of 19F nuclei near GdIII ions broaden to the point of no longer being observable neither by MRS nor by MRI. Increasing the distance between the 19F nuclei and the GdIII increases T2; this enables the 19F signal to reappear.
A greater effect will be observed if the linker separating the 19F nuclei from the GdIII ion is completely cleaved by the target (Figure 5A). As the fluorinated moiety diffuses away from the GdIII complex, its relaxation times increase by orders of magnitude and, consequently, so does the 19F signal intensity. This approach is particularly well-suited for the detection of enzymes that cleave peptides or sugars. Indeed, the first example reported by Kikuchi and coworkers targeted caspase 3 (24, Figure 6). Adroit positioning of the 19F nuclei on the amino acid substrate of the enzyme that was directly tethered to the GdIII complex resulted in a complete off/on response (Mizukami et al.,
Figure 6

Responsive fluorinated probes whose signals are modulated by the paramagnetic relaxation enhancement effect of GdIII (24, Mizukami et al.,
This approach was recently extended by both the Kikuchi and the Engelmann groups to other enzymes, β-galactosidase (26 and 27) (Keliris et al.,
Similar responses can be obtained with paramagnetic transition metals. Yu and Mason reported three fluorinated probes for β-galactosidase that use the same principle but in the opposite direction (31–33, Figure 7) (Yu et al.,
Figure 7

Responsive fluorine probes whose signals are modulated via the paramagnetic relaxation enhancement effect upon complexation of (A) FeIII following cleavage by β-galactosidase (31, Yu et al.,
The same approach readily leads to the development of fluorine probes for paramagnetic metal ions. An example for MnII is 34 developed by Datta and coworkers (Figure 7B) (Sarkar et al.,
By extension, this strategy can readily be adjusted to design probes that signal the redox potential of their surroundings. If the metal is chosen correctly, a change in its oxidation state enables it to switch between a diamagnetic and a paramagnetic state (Figure 8). In the paramagnetic state, the metal attenuates the 19F signal by substantially decreasing their T2. Conversion to the diamagnetic state lengthens T2 resulting in a “turn on” response. Early examples that utilize metal redox state to modulate the relaxation of 19F nuclei, and in turn signal intensity, were reported by Chujo's lab (Tanaka et al.,
Figure 8

Modulating the response of 19F-paramagnetic metal probes by altering the effective magnetic moment of the metal ion.
Figure 9

Responsive fluorine probes which function by altering either (A) the oxidation state of a redox active metal (35, Tanaka et al.,
Allen's laboratory used an analogous approach with Eu in the design of their temperature and redox responsive 19F probe (39, Figure 9A). This Eu-DOTAm (1,4,7,10-tetrakis(carbamoylmethyl)-1,4,7,10-tetraazacyclododecane) complex with a p-trifluoromethylphenyl arm, has 12 equivalent fluorine nuclei (Basal et al.,
This approach also enables direct detection of reactive oxygen species. Oxidation of Co-NODA-CF3 (2,2′-(7-(2-oxo-2-((2,2,2-trifluoroethyl)amino)ethyl)-1,4,7-triazonane-1,4-diyl)diacetic acid) (40, Figure 9A) with H2O2 from paramagnetic CoII (d7) to diamagnetic CoIII (d6) shifts the 19F signal by 3.6 ppm and increases the T1 and T2 of the 19F nuclei 60- and 121-fold, respectively (Yu et al.,
There are two main disadvantages to using paramagnetic metals that primarily affect T2 in the design of responsive fluorine probes. The first, as mentioned above, is that such probes are not ratiometric. A lack of signal can be attributed both to a lack of target and to a lack of probe. Similarly, signal intensity is not a direct measure of the concentration of the target as it is equally affected by the concentration of the probe. The second disadvantage is that upon release, the organic fluorine moiety regains its very long T1. Such probes are thus plagued by the same sensitivity issue as the purely organic fluorinated probes (Yu et al.,
Applications of the mcconnell-robertson theory to the design of responsive fluorine probes
One of the first applications of lanthanides in NMR spectroscopy was as induced shift reagents (Sanders et al.,
This shift is the sum of the contributions from the contact shift, δc, and the pseudocontact shift, δpc (Peters et al.,
Figure 10

Model of M-DOTAm-F12 illustrating (A) the distance, d, between the 19F nuclei and the metal ion and the angle, θ, between the 19F–M vector and the principle magnetic dipolar axis of the metal ion; and (B) the positive (red) and negative (blue) regions of the pseudocontact shift field, , surrounding the metal ion.
Where d is the 19F–metal distance, θ is the angle between the principal magnetic dipolar axis of the metal ion and 19F nuclei, is the second order crystal field coefficient that is dependent on the coordination environment of the metal ion, and Cj is the Bleaney coefficient for the specific metal. Both the direction and magnitude of the shift are dependent on the identity of the metal ion as denoted by its Bleaney coefficient (Table 1). One can thus rank metals by relative pseudocontact shift (PCS) strength, which in turn indicates their efficacy as 19FLIS agents. DyIII and TbIII are undeniably excellent shift agents. However, given the necessity to maintain as high a T2/T1 ratio as possible to maximize 19F sensitivity (see above), TmIII and HoIII are the best choices in the design of 19FLIS probes for MRI.
According to the McConnell-Robertson equation, the design of responsive fluorinated lanthanide MR probes can be based on three parameters: the distance separating the 19F nuclei from the metal ion, d (Figure 5), the angle θ between the main dipolar magnetic axis of the metal and the metal—19F vector (Figure 11A), and the second order crystal field coefficient, , which is a function of the direct coordination environment of the metal (Figures 11B,C).
Figure 11

Modulating the response of fluorinated paramagnetic probes by altering (A) the angle θ between the 19F–M vector and the principle magnetic dipolar axis of the metal ion, (B) the lanthanide coordinating environment and thus the second order crystal field coefficient, through chelation of the analyte that partially decomplexes the metal or direct coordination of the analyte onto the lanthanide that displaces one or more water molecules, (C) the angle θ, , and the 19F–M distance, d, through analyte induced changes in the coordination environment.
The second order crystal field coefficient, , which is a function of the direct coordination environment of the lanthanide or transition metal, has been used in the design of responsive fluorine probes. Advantageously, this approach enables the use of ligands of similar chemical structure as those used with gadolinium-based responsive contrast agents. Swapping GdIII for TmIII, HoIII, or DyIII and adding a fluorinated moiety within 4–7 Å of the metal is often all that is necessary. For example, the Parker group developed citrate-responsive 19F probes, which are essentially fluorinated versions of Ln-DO3A (43 and 44, Figure 12A) (Harvey et al.,
Figure 12

Responsive 19F-Ln probes that induce a chemical shift (19FΔδ) by (A) modulating the coordination environment of the LnIII and hence its second order crystal field coefficient, , (43–44, Harvey et al.,
The same approach was used to design the CaII responsive fluorine probes 45 and 46 (Figure 12A). These probes are derivatives of a GdIII-based responsive contrast agent which displays a change in longitudinal proton relaxivity, r1, in the presence of calcium (Harvey et al.,
The Parker group used a similar approach to develop four pH responsive probes. In 47 and 48 (Figure 12B) (Senanayake et al.,
The other two pH probes, 49 and 50, also rely on protonation of a coordinating arm, but in these cases the aryl amide does not release the lanthanide at acidic pH (Figure 12B) (Kenwright et al.,
The chemical shift of fluorine nuclei can also be modulated by altering the spin state of the metal ion. A recent example exploits the temperature induced transition of FeII from low spin (S = 0) to high spin (S = 2) in hexadentate triazacyclonone ligands with fluorinated 2-picolyl substituents (41 and 42, Figure 9B) to image temperature by 19F MRI (Thorarinsdottir et al.,
The standard approaches that are used in the design of diamagnetic fluorine probes can also be applied to their paramagnetic analogs. An example is the α-chymotrypsin esterase probe 51 (Figure 12C). Hydrolysis of the ester, followed by self-immolation of the linker, yields a carboxylated fluorine moiety whose 19F nuclei signal is positioned 6.2 ppm away from the starting material (Harvey et al.,
Although this review has focused on 19F MR imaging, a significant advantage of 19F probes is their ability to also function in other modalities. Fluorinated polyaminocarboxylate-based complexes, for instance, can also be effective chemical exchange saturation transfer (CEST) MR contrast agents. Such dual-modalities are particularly well-suited for the design of ratiometric agents. False negatives are more readily avoided if one of the two modalities is responsive to the targeted marker while the other one is not. This enables the distribution of the contrast agent to be mapped independently of that of the marker. Two examples of dual 19F-CEST agents have been reported. A fluorinated Eu-DOTAm-Gly complex with two trans trifluoromethyl groups (2, Figure 1) generated sufficient 19F and CEST contrast in vitro despite multiple isomers in solution (Cakic et al.,
Fe-DOTAm-F12 which was developed in our lab, has 12 equivalent fluorine nuclei and one isomer in solution (12, Figure 1). It functions both as a 19F MR probe and a paraCEST contrast agent. Importantly, whereas the 19F signal intensity is independent of pH, the CEST signal is modulated by pH. The % saturation transfer of the complexes increases 5-fold between pH 4 and 6.2. The complex accurately determines the pH independently of the concentration of the contrast agent between pH 6.9 and 7.4, a range that is relevant to cancer diagnosis. Advantageously, the similar sensitivity of the agent in both modalities facilitates ratiometric determination of pH.
Outlook
The development of paramagnetic fluorine probes over the last decade mirrors, in many ways, that of paraCEST agents, the paramagnetic derivatives of CEST contrast agents. The introduction of paramagnetic metal ions in the design of fluorine probes, most notably lanthanides, iron, and cobalt, offer several advantages. Those include increased sensitivity of the fluorine probes due to decreased R1 of the fluorine nuclei and increased chemical shift spectral window due to the paramagnetic induced shift.
Advantageously, both the effects on relaxation rates and chemical shift offer new approaches to the development of responsive fluorine probes that are not available with their diamagnetic counterparts, and these strategies lead to a significantly greater response. Indeed, paramagnetic fluorinated complexes can be readily designed such that the chemical shifts and/or the relaxation times T1 and T2 of the fluorine nuclei change substantially upon binding to or reacting with a desired analyte. This causes either the appearance, disappearance or notable chemical shift of the 19F peaks. Moreover, the absence of background signal in 19F MRI is an added advantage of this class of probes over the more common Gd-based and iron oxide nanoparticle-based contrast agents which have to contend with the signal of endogenous water. The recent work published on paramagnetic fluorine probes, backed by accurate theoretical models, enable scientists to design molecules with maximum sensitivity by optimizing the nature, specially the oxidation and spin state, of the paramagnetic ion and its distance from the fluorine nuclei all while maximizing the number of chemically equivalent 19F nuclei. Those same parameters are used in the design and optimization of responsive probes. Notably, the large spectral windows of paramagnetic fluorine probes enable the design of ratiometric responsive probes which can independently report on both the distribution of a probe and that of its targeted analyte. Paramagnetic fluorine probes are also uniquely suited to multicolor, or multifrequency, imaging, which enables the tracking of different types of cells.
Paramagnetic fluorine probes have drawbacks too that should be kept in mind. The increase in sensitivity due to lower R1 induced by the paramagnetic ion is minimal at high magnetic fields. These probes are better suited for use with scanners of low and medium magnetic field strengths, below 6 T. The structure and conformation of the probe in solution, parameters that can be more difficult to predict, have a significant impact on the properties of the probe. Complexes existing as a single isomer in solution with all fluorine nuclei chemically equivalent are more sensitive and easier to image, but many lanthanide complexes exist in solution as interconverting isomers. The potential toxicity of the complex should also be kept in mind, especially given the high concentrations of probes required for in vivo imaging. Although the toxicity and pharmacological properties of this new class of probes has not yet been evaluated, conclusions drawn from Gd-based contrast agents are likely to extend to paramagnetic fluorine probes. Kinetically labile lanthanide complexes, for instance, are expected to present higher toxicity. Nonetheless, we foresee that these first generation of paramagnetic fluorine probes will open avenues for many more applications for in vivo imaging. In particular, the ability of these probes to track different cells and biomarkers, and their response to different stimuli, render them particularly promising for molecular imaging.
Statements
Author contributions
VP, KP, and KS: searched and analyzed the literature; VP, KP, and KS: co-wrote the manuscript.
Acknowledgments
This work was supported by the National Science Foundation Grant CAREER 1151665 and NSF INFEWS N/P/H2O:SusChEM CHE-1610832.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
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Summary
Keywords
fluorine, lanthanide, iron, magnetic resonance imaging, magnetic resonance spectroscopy, contrast agent, molecular probe, responsive probe
Citation
Peterson KL, Srivastava K and Pierre VC (2018) Fluorinated Paramagnetic Complexes: Sensitive and Responsive Probes for Magnetic Resonance Spectroscopy and Imaging. Front. Chem. 6:160. doi: 10.3389/fchem.2018.00160
Received
27 February 2018
Accepted
20 April 2018
Published
23 May 2018
Volume
6 - 2018
Edited by
Lorenzo Tei, Università degli Studi del Piemonte Orientale, Italy
Reviewed by
Francesca Garello, Università degli Studi di Torino, Italy; Amnon Bar-Shir, Weizmann Institute of Science, Israel; Lothar Helm, École Polytechnique Fédérale de Lausanne, Switzerland
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© 2018 Peterson, Srivastava and Pierre.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Valérie C. Pierre pierre@umn.edu
This article was submitted to Inorganic Chemistry, a section of the journal Frontiers in Chemistry
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