Vol. 94, Issue 4, 1641-1649, April 2003
INNOVATIVE TECHNIQUES
Brain temperature measured by 1H-NMR in
conjunction with a lanthanide complex
Hubert K. F.
Trübel1,2,
Paul
K.
Maciejewski2,3,
Jacqueline H.
Farber4, and
Fahmeed
Hyder2,5,6
Departments of 1 Pediatrics,
2 Diagnostic Radiology, 3 Psychiatry,
4 Molecular Biophysics and Biochemistry,
5 Biomedical Engineering, and 6 Section
of Bioimaging Sciences, Magnetic Resonance Research Center, Yale
University School of Medicine, New Haven, Connecticut 06510
 |
ABSTRACT |
In vivo data on temperature
distributions in the intact brain are scarce, partly due to lack of
noninvasive methods for the region of interest. NMR has been
exploited for probing a variety of brain activities in vivo
noninvasively within the region of interest. Here we report the use of
a thulium-based thermometric sensor, infused through the blood, for
monitoring absolute temperature in rat brain in vivo by
1H-NMR and validated by direct temperature measurements
with thermocouple wires. Because the 1H chemical shifts
also demonstrate pH sensitivity, detection of multiple resonances was
used to measure both temperature and pH simultaneously with high
sensitivity. Examination of blood plasma and cerebral spinal fluid
samples removed from rats infused with the thermometric sensor suggests
that the complex, despite its negative charge, crosses the blood-brain
barrier to enter the extracellular milieu. In the future, the
thulium-based thermometric sensor may be used for monitoring
temperature (and pH) distributions throughout the entire brain,
examining response to therapy and evaluating changes induced by
alterations in neuronal activity.
metabolism; neural activity; perfusion; shift reagent; thulium
 |
INTRODUCTION |
THE BRAIN IS ONE
OF THE MOST active of all organs in the mammalian body in terms
of energy metabolism (40, 41). Increased neuronal activity
in the cerebral cortex leads to an increase in metabolic activity and
blood flow (3). A net change in brain temperature (T)
depends on two dominant processes: heat production during metabolic
activity and heat removal by blood flow (38). The ability
to measure brain T and relate changes to metabolic activity without
altering tissue structure and integrity is important, given the high
degree of microvascular network and organization in the brain
(54).
The classic way to measure absolute T in living organisms is by
thermocouple wires (55) directly inserted into the region of interest (ROI). This approach has been extensively applied for
studying brain T regulation and dynamics in animal subjects (14,
29, 45, 47) and human patients (8, 27, 42, 56).
Because chronic implantation of thermocouple wires can lead to
complications (e.g., infections; see Ref. 13), the method is best suited for acute measurements. Although the spatial resolution of the method can be extended to the micrometer range, the temporal resolution cannot be improved more than a few tenths of a second (e.g.,
see Refs. 22, 23). Thin thermocouple wires
are ideally suited for combining with other devices (e.g., oxygen
partial pressure or electrophysiology) for multimodal measurements of brain physiology (22). Although the tissue damage caused
by the insertion of the thermocouple wire into the ROI can be reduced by miniaturization of the probe (23), alternative
measurement sites (e.g., axilla, rectum, urinary bladder, pulmonary
artery, nasopharynx, temporal muscle, tympanic membrane, or esophagus) are used in routine clinical practice to reflect brain T (30, 33). Because measurements from these sites are well correlated with brain T at steady state, this alternative approach works well for
monitoring cerebral stability over long time periods noninvasively with
respect to the ROI. However, discrepancies of this correlation are
known to occur over transient changes (e.g., therapeutic induction of
hypothermia) in body or brain T (43).
Relative changes in brain surface T can be measured noninvasively by
infrared spectroscopy (6, 36), but information from deeper
layers of the brain cannot be easily detected with this method. In
contrast to thermocouples or infrared thermometry, NMR techniques can
provide information on T in different regions of the brain
noninvasively (i.e., within and outside the ROI). The earliest NMR
methods used changes in the longitudinal relaxation time
(T1) and the apparent diffusion coefficient of tissue water to map T differences in an NMR image (11). More recently,
another NMR imaging method that is based on assigning T-induced changes in the phase of the water signal has been developed (25,
35). Although these NMR approaches have relatively high spatial
and temporal resolutions (due to the high water concentration in
biological tissues), the methods are best suited for steady-state
measurements in acute settings.
However, the sensitivities of these NMR methods are low, and
calibrations are problematic (e.g., dependence on tissue perfusion and
tissue types). An alternative approach is T-induced variations in NMR
chemical shifts of a range of molecules. Although the chemical shift of
tissue water detected by 1H-NMR, which has a T sensitivity
of 0.01 parts per million (ppm)/°C (31), has been the
most popular endogenous thermometric sensor because of the abundance of
the molecule in biological tissues, the accuracy of the method is
affected by tissue fat content and macroscopic susceptibility
differences. Thus exogenous molecules with higher T sensitivity and
reliability, e.g., paramagnetic transition metal compounds, are being
tested as alternative NMR thermometric sensors. However, the T
sensitivity of paramagnetic transition metal compounds varies from one
complex to another. For example, the praseodymium complex of
10-(2-methoxyethyl)-1,4,7,10-tetraazacyclododecane-1,4,7-triacetate (9) and the ytterbium chelate with
tetra-methyl-1,4,7,10-tetraazacyclododecane-1,4,7,10-tetraacetic acid (1) with 1H-NMR have T sensitivities of
0.1 and 0.4 ppm/°C, respectively. In contrast, the complex between
the thulium ion and the macrocyclic chelate
1,4,7, 10-tetraazacyclododecane-N,N',N",N'"-tetra
(methylene phosphonate) (Na[TmDOTP5
]) has a
sensitivity of 1.2 ppm/°C (57) and allows the
possibility of simultaneous detection of changes in pH
(44) with 1H-NMR. In contrast to
thermocouples, infrared thermometry, or water-based NMR methods
mentioned above, the temporal and spatial resolutions of the
thermometric sensor-based NMR method are much lower due to the low
concentration of the infused sensor.
Although this thulium-based NMR thermometric sensor has been
successfully used to measure T changes in several organs (44, 57), it has not shown to be of much use in the brain (4, 24). Here we report the use of the thulium complex for T
measurements in rat brain in vivo by 1H-NMR. The previously
reported lack of 1H-NMR visibility of this substance in the
brain (4, 24) was probably due to poor sensitivity as a
result of its high rate of systemic clearance and low cell membrane
permeability. By combination of in vivo and ex vivo studies, we
demonstrate that the localized 1H-NMR signals of
Na[TmDOTP5
] in the brain are primarily due to its
presence in the extracellular space. We validated the NMR method by
direct comparisons with thermocouple-based T measurements from brain
tissue. Because the resonances of the sensor show pH sensitivity as
well, we describe an approach to simultaneously measure both absolute T
and pH. Other methodological concerns and future research directions
with Na[TmDOTP5
] are discussed.
 |
MATERIALS AND METHODS |
In vitro.
Aqueous solutions of Na[TmDOTP5
] (25 mM; Macrocyclics,
Dallas, TX) were prepared in 95% deuterated water (Cambridge Isotope Laboratories, Andover, MA) and 5% deionized water. Different samples with varying pH (7.0-7.8) and additional cationic presence
([Ca2+]: 0-10 mM; [K+]: 0-10 mM;
[Na+] 140-160 mM, where brackets denote
concentration) were prepared in 5-mm NMR sample tubes, where
3-trimethylsilyl[2,2,3,3,-D]propionate (TSP; Sigma
Chemical, St. Louis, MO), serving as an internal reference (1H chemical shift of 0.0 ppm), was added in each sample
(20 mM). The in vitro NMR data were acquired on an 11.7-T (500 MHz for 1H) Bruker vertical-bore spectrometer (Billerica, MA) with
a variable T controller in the radio-frequency (RF) probe.
Nonlocalized, water-suppressed 1H spectra were acquired
with the following parameters: flip angle = 75°; recycle time
(TR) = 500 ms; number of experiments = 128-1,024; dummy
scans = 32. The T fluctuations in the sample throughout an entire
experimental run (as measured by the T sensor in the RF probe) were
negligible (±0.01°C), despite the fact that square-shaped RF pulses
with short duration, high amplitude, and short TR were used. Figure
1 shows the chemical structure of the
complex along with portions of its 1H spectrum (fully
relaxed). The four visible peaks emanate from four (out of six)
1H's marked in the molecule. Note that, while typical in
vitro and in vivo 1H-NMR experiments operate around a
bandwidth of ±5 ppm centered around 4.7 ppm (1H chemical
shift of water), the detection of the complex requires a much wider
bandwidth (±200 ppm). Due to the high efficiency of the in vitro RF
coil, both the downfield (
H2 and
H3) and the upfield (
H6 and
H1) peaks (
) were
observed simultaneously with a wide spectral bandwidth (±200 ppm).

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Fig. 1.
1H NMR spectrum of Na[TmDOTP5 ] in vitro
under fully relaxed conditions (at 500 MHz), and a structural depiction
of the molecule. The observed upfield ( H6 and
H1; magnitude) or downfield ( H2 and
H3; phased) peaks were detected with a wide spectral
bandwidth [±200 parts/million (ppm)]. The other 2 1H
peaks could not be detected under the present experimental settings
because their chemical shifts were beyond the current spectral
bandwidth. Tm3+, thulium ion.
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|
First, we examined the effects of T, pH, and presence of different
cations on the chemical shifts of peaks labeled in Fig. 1. Here we
applied a linear regression analysis (for each peak) by plotting
chemical shift changes vs. alterations in T, pH, and cation
concentrations ([cation]), as shown in Eq. 1
|
(1A)
|
|
(1B)
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|
(1C)
|
where
, m, and k are the chemical
shift, slope, and intercept (for each peak), respectively. Second, the
data were fitted to two empirical models so that T and pH could be
determined simultaneously. It should be noted that Eqs. 2A and 2B are strictly empirical relations. This analysis
differs from above because both T and pH affect the chemical shift of
upfield and downfield peaks in different ways (44).
Because changes in the chemical shifts induced by either T or pH for
both of the upfield (
H6 and
H1) and
downfield (
H2 and
H3) peaks are in the
same direction (44), to predict T and pH simultaneously,
both an upfield and a downfield peak are required, as shown in
Eq. 2
|
(2A)
|
|
(2B)
|
The nominal values of the parameters
(a1-a3, b1-b3)
for each peak were estimated by regression procedures to fit T
(
X,pH) and pH (
Y,T)
by using measured values for T, pH, and
X =
Y (i.e., the same peak) measured in
vitro. These optimized parameters for each peak were then used
for all possible combinations of using two separate peaks, one from
upfield (
X) and one from downfield
(
Y), in an iterative manner to determine the
accuracy within which T and pH could be predicted simultaneously.
Equations 1 and 2 represent two alternative approaches to establish the relationship among
, T, and pH.
Equation 1 assumes that
is linearly related to T and pH,
whereas Eq. 2 assumes a power law relationship among
, T,
and pH. The error analysis in Eq. 1 assumes that, when T
changes, the pH remains constant (and vice versa), whereas the error
analysis in Eq. 2 assumes that T and pH both can change simultaneously.
Animal preparation.
Male Sprague-Dawley rats (150-300 g) were tracheotomized and
artificially ventilated (70% N2O-30% O2).
Intraperitoneal lines (Becton-Dickinson, Parsippany, NJ) were used for
injections of
-chloralose (40 mg · kg
1 · h
1;
Sigma-Aldrich, St. Louis, MO) and d-tubocurarine chloride
(0.05 mg · kg
1 · h
1;
Sigma-Aldrich). Femoral arterial and venous lines (Becton-Dickinson) were used to measure systemic physiology (blood pressure, pH, gases)
and infuse Na[TmDOTP5
]. Both renal arteries were
ligated through an abdominal midline incision to minimize the renal
excretion of Na[TmDOTP5
] (57). Two
(out of 12) experiments were abandoned due to hemodynamic instability
(i.e., systolic blood pressure of <80 mmHg) caused by
Na[TmDOTP5
] infusion. In the experimental rats
(n = 10), ~1.5 mmol/kg of an 100 mM aqueous solution
of Na[TmDOTP5
], with a total volume of 2-4 ml, was
infused at a rate adjusted to stable physiology (as measured by blood
pressure, blood pH, blood gases), according to an infusion
protocol reported by Winter and Bansal (49) to keep the
animal within the autoregulatory range of cerebral perfusion
(15).
Ex vivo (n = 8).
After an infusion period of ~3 h, 5- to 10-µl samples of clear
cerebral spinal fluid (CSF) were collected through a suboccipital puncture with a small 30G needle (51). Periodic blood
samples (50 µl) were removed for analysis of gases and pH, and
portions were saved for determining the concentration of the
thermometric sensor in the blood plasma. After dilution of the CSF and
blood plasma samples by 1:10 in deuterated water, 1H
spectra were acquired (see In vitro above for NMR
acquisition parameters) with a known concentration of TSP. The
concentration of Na[TmDOTP5
] in CSF or blood plasma and
in a fresh in vitro sample (see In vitro above for sample
preparation), both with known concentrations of TSP in each sample,
were measured at 500 MHz by comparison of peak integrals. The integral
bandwidths of the
H2 and the
TSP peaks
were chosen to be ±4.0 and ±0.4 ppm, respectively, due to the wide
and narrow bases of each peak attributed mainly to their vastly
differing transverse relaxation times (58). A factor
K (Eq. 3) was calculated from the in vitro
sample because the two peak integrals are proportional to
concentrations of Na[TmDOTP5
] and TSP
|
(3)
|
The ex vivo concentrations of Na[TmDOTP5
] (in
CSF or blood plasma) were calculated by using K determined
above (Eq. 3) and by comparison of the ex vivo peak
integrals (Eq. 4)
|
(4)
|
Tests of Na[TmDOTP5
] concentration prediction
for in vitro samples (see In vitro above) using Eq. 4 showed excellent accuracy (±5%) and worked equivalently well
for the other peaks, although the values of K in Eqs.
3 and 4 were different and the largest uncertainty
(±15%) was with the H1 peak. The value of K incorporates differences in T1 relaxation for 1H's in TSP
and Na[TmDOTP5
]. If the same pulse sequence parameters
are used for acquisition of in vitro and ex vivo data, the combined use
of Eqs. 3 and 4 for quantification of
Na[TmDOTP5
] concentration is justified because the
T1 saturation effects are normalized.
In vivo (n = 2).
The rat's scalp was retracted to expose the skull, and either a
100-µm (Oxford Optronix, Oxford, UK) or a 300-µm (Physiotemp, New
Jersey, NJ) thermocouple probe was placed through a craniotomy window
and fixed with bone cement on the right hemisphere (1 mm anterior and 4 mm lateral from bregma; depth of 1 mm at layer 4). The in
vivo NMR data were acquired on a 7.0-T (300 MHz for 1H)
Bruker horizontal-bore spectrometer (Billerica, MA) with a 1H resonator/surface-coil RF probe
(18). High-resolution anatomic images were
obtained to guide the localized NMR spectroscopic measurements (see
Ref. 19 for details). Outer volume suppression (37) was used to select a 4 × 4 × 4-mm3 voxel in the cortex (1 mm posterior and 0 mm lateral
from bregma; depth of 2 mm from brain surface, strictly avoiding the
sagittal sinus). Thus the 64-µl volume was devoid of NMR artifacts
induced by the placement of the thermocouple. Localized,
water-suppressed 1H spectra were acquired with the
following parameters: flip angle = 75°; TR = 500 ms; number
of experiments = 128-512; dummy scans = 32. Due to the
low efficiency of the in vivo RF coil (in comparison to the in vitro RF
coil), either the downfield (
H2 and
H3)
or the upfield (
H6 and
H1) peaks were
observed (at any one experimental run) with a narrow spectral bandwidth
(±25 ppm). Because square-shaped RF pulses with short duration, high
amplitude, and short TR were used, we measured the possibility of
RF-induced heating of the sample. The same pulse sequence parameters
(on the 7.0-T system) used on an in vitro sample showed that the T
fluctuations in the sample throughout an entire experimental run (as
measured by a thermocouple wire attached to the sample) could be
neglected (±0.03°C). An additional baseline in vivo spectrum of
metabolites was collected (see Ref. 17 for details) to
assign N-acetyl aspartate as the internal reference
(1H chemical shift of 2.01 ppm) for the in vivo spectra of
Na[TmDOTP5
]. Small volumes of blood samples (50 µl)
were removed periodically to monitor systemic physiology. A
water-heating blanket was used to alter the rat's body T. Chemical
shifts of the downfield (
H2 and
H3)
and/or the upfield (
H6 and
H1) peaks were
analyzed and corrected for blood pH effects (wherever necessary).
 |
RESULTS |
In vitro measurements.
The T and pH sensitivities of the four observed peaks of
Na[TmDOTP5
] determined by linear regression analysis
(see Eq. 1) are summarized in Table
1. The summary of the T and pH
sensitivities of the
H2 peak is graphically presented in
Fig. 2. Although the
H1 peak showed the largest changes in chemical shift with T alterations (1.17 ± 0.06 ppm/°C), its low-peak intensity (see Fig. 1)
provides a poor signal-to-noise ratio (SNR) compared with the
H6 peak, which also has a high-T sensitivity (0.93 ± 0.05 ppm/°C). The
H2 and
H3 peaks
showed slightly lower T sensitivities (0.55 ± 0.03 and 0.43 ± 0.02 ppm/°C, respectively). The pH sensitivities of all four peaks
were approximately the same (~3 ppm/pH). There were no measurable
changes in chemical shifts of any of the peaks with varying
concentrations of Ca2+ (0-7.5 mM), Na+
(140-160 mM), and K+ (0-10 mM). Spectral data of
Na[TmDOTP5
] without and with the cations (at these
concentrations) showed no statistically significant differences. In
fact, the T and pH sensitivities of the four peaks (Table 1) were not
statistically different from sensitivities determined in the presence
of the cations (data not shown). However, some precipitation was
observed with Ca2+ concentrations higher than 7.5 mM.
Because the influence of cations on our in vitro calibration of each
peak can be neglected, the effects of T and pH on the chemical shift,
as shown in Fig. 2 (for the
H2 peak), can be readily
applied to the in vivo data (see below), because the chemical shift
dependencies of the thulium-based sensor are field independent
(44, 57).

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Fig. 2.
Dependence of changes in the chemical shift of the
H2 peak at different brain temperature (T) and pH
values. The in vitro measurements were performed using (at 500 MHz).
See Tables 1 and 2 as well as RESULTS for other
details.
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Because the downfield (
H2 and
H3) and
upfield (
H6 and
H1) peaks showed changes
in chemical shift in opposite directions with alterations in both T and
pH (Table 1), simultaneous determination of T and pH was possible by
using chemical shifts of two separate peaks, one each from upfield and
downfield, by using empirical models (see Eq. 2). Using the
nominal values of the parameters (a1-a3,
b1-b3) for Eq. 2, eight possible
combinations of the four peaks were tested to determine the combination
(of two separate peaks) that resulted in the highest accuracy for
simultaneously predicting T and pH (Table
2). The most accurate predictions were
obtained from using either the
H6 and
H3
peaks [temperature prediction (
T) = ±0.3°C; pH
prediction (
pH) = ±0.1] or the
H6 and
H2 peaks (
T = ±0.4°C;
pH = ±0.1). The lowest accuracy for
T and
pH was obtained from either the
H3 and
H1 peaks (
T = ±6.8°C;
pH = ±0.9) or the
H2 and
H1 peaks (
T = ±12.2°C;
pH = ±1.9).
Ex vivo and in vivo measurements.
The concentration of Na[TmDOTP5
] in paired blood plasma
and CSF samples was 5.9 ± 1.4 and 0.7 ± 0.5 mM,
respectively, as determined from Eqs. 3 and 4.
Figure 3 shows ex vivo spectra
(
H2 and
H3 "downfield" peaks) for
typical blood plasma and CSF samples removed from a rat being infused
with Na[TmDOTP5
] for 181 ± 65 min
(n = 10). A typical in vivo spectrum (
H2
and
H3 downfield peaks) from a 64-µl voxel in rat
brain after an infusion time of slightly longer than 3 h is shown
at the bottom of Fig. 3. Although similar spectra were obtained for the
H6 and
H1 "upfield" peaks (data not
shown), the SNR of the
H1 peak was significantly
compromised in both the in vivo and ex vivo data. The comparison of the
in vitro, ex vivo, and in vivo spectra of Na[TmDOTP5
]
in Fig. 3 shows good agreement for the chemical shift difference between the
H2 and
H3 downfield peaks.

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Fig. 3.
Comparison of the downfield ( H2 and
H3; phased) peaks under similar experimental conditions
with respect to T and pH. The in vitro, ex vivo (blood), and ex vivo
[cerebral spinal fluid (CSF)] spectra were obtained at 500 MHz,
whereas the in vivo spectrum was acquired at 300 MHz. See
RESULTS for other details.
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Figure 4 shows the comparison of the
brain T estimated from Na[TmDOTP5
] with the T measured
by a thermocouple wire inserted into the brain. The NMR and
thermocouple measurements were made simultaneously from the same rats,
where each data point represents the averaged value over the total
data-acquisition period. Because the data points at the end of the
experiments were taken after the rats were no longer alive (brain T
~25°C), no removal of Na[TmDOTP5
] through
perfusion could occur. Figure 4, A and B,
demonstrates the precision of the NMR
T by using either
the downfield peaks (Eq. 1) or both the upfield and the
downfield peaks together (Eq. 2), respectively. Both the
downfield (
H2 and
H3) and the upfield (
H6 and
H1) peaks could not be observed
simultaneously on the 7.0-T system (with a wide spectral bandwidth of
±200 ppm) due to the low efficiency of the in vivo RF coil. Thus the
fewer data points in Fig. 4B represent the few times that
both the upfield and the downfield peaks (e.g.,
H6 and
H2 peaks) were measured sequentially in the same rat
(n = 1), whereas the larger number of data points in
Fig. 4A represent the cases in which only the downfield (or
the upfield; data not shown) peaks were measured (n = 2). It is important to note that the entire range of T covered in Fig.
4 spans from physiological to extremely nonphysiological conditions
(e.g., data points at ~25°C were from dead rats). Figure 4A shows the calibration of the
H2 peak,
where the accuracy of
T was reasonable
(
T = ±0.4°C), by using a linear regression analysis (Eq. 1), and it was necessary to assume the brain
pH from the measured plasma pH. In contrast, Fig. 4B shows
the calibration of the
H6 and
H2 peaks
used simultaneously, where the accuracy of the
T was
slightly improved (
T = ±0.4°C) and the pH was
predicted (see Fig. 4B, inset) simultaneously
with good accuracy (
pH = ±0.1) by using the
empirical models (Eq. 2). The higher uncertainties in
T and
pH in vivo than in vitro (Table 2)
may be attributed to the longer data-acquisition times required for
sampling both the upfield and downfield peaks.

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Fig. 4.
In vivo calibration of the NMR-based T data from rat
brain (300 MHz; 64-µl voxel) with direct T measured with a
thermocouple wire (Oxylite or Physiotemp). A: calibration of
the H2 peak by using a linear regression analysis
(Eq. 1), where the brain pH was assumed to be the same as
plasma pH. B: calibration of the H6 and
H2 peaks used simultaneously by using the empirical
models (Eq. 2), where the brain pH was not assumed for the
prediction of temperature. Comparison of the predicted pH and the
plasma pH are shown in the inset. See RESULTS
for other details.
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 |
DISCUSSION |
The observation of concomitant 1H-NMR signals of
Na[TmDOTP5
] in blood plasma and CSF from ex vivo
samples strongly suggests that the observed in vivo signals (Fig. 3)
emanate from the thermometric sensor in the brain tissue. Our NMR
visibility of Na[TmDOTP5
] in the brain stands in
contrast to previous results (4, 24). This discrepancy may
be partly attributed to lack of NMR sensitivity at lower magnetic field
strengths of the prior studies in contrast to the present studies,
which were conducted at a much higher field strength. Because the prior
studies (4, 24) used Ca2+ to counteract
hemodynamic side effects during Na[TmDOTP5
] infusion,
it is possible that precipitation of the compound (see
RESULTS and Ref. 2) may have confounded their
experimental protocol as well as results. In this study, no extra
Ca2+ infusion was necessary because we used a slower
Na[TmDOTP5
] infusion protocol tapered toward a constant
systemic blood pressure throughout the experiment within the
autoregulatory range (15). Furthermore, the rats in the
previous studies (4, 24) were not nephrectomized, so that
loss of Na[TmDOTP5
] through renal clearance, the main
route of its excretion from the body, may have attributed to low
sensitivity by compromised presence of the sensor in the blood reaching
the brain.
The other reasons for the low sensitivity for NMR visibility of
Na[TmDOTP5
] in the brain may be attributed to issues
concerning the sensor's distribution volume throughout the body and
the permeability across the blood-brain barrier. This sensor has been
used in a variety of organs (as well as tumor models) with high NMR
visibility (5, 34, 50, 53), except the normal brain
tissue. Because the present infusion protocol results in a steady-state
Na[TmDOTP5
] concentration of ~6 mM in the plasma with
an infusion dose of ~2 mM/kg, the apparent volume of distribution
(48) throughout the entire body would be ~0.3 l/kg.
Because the body's intravascular and extracellular compartments
together comprise a smaller total volume, it can be suggested that
the large distribution volume of Na[TmDOTP5
] is due
to the accumulation of the substance in specific organs. The present
data, therefore, suggest that Na[TmDOTP5
] has a large
distribution volume throughout the rest of the body besides the brain.
Furthermore, Na[TmDOTP5
] is also used as an NMR shift
reagent, which affects the chemical shift of target molecules in the
extracellular space, because the reagent does not readily cross the
cellular membrane. Therefore, we suggest that the low NMR visibility of
Na[TmDOTP5
] may be partly due to its high-distribution
volume throughout the body and low permeability across the cell membrane.
Our results suggest that Na[TmDOTP5
] can cross the
blood-brain barrier into the interstitial space and remains at a
concentration slightly higher than 10% of the concomitant blood plasma
level (Fig. 3). To achieve the high blood plasma levels of
Na[TmDOTP5
], we and others (44, 49, 57)
chose to perform a functional nephrectomy. Further studies are needed
to evaluate the renal disposal mechanism of
Na[TmDOTP5
], because it would be advantageous to
circumvent the excretion by limiting the renal clearance (e.g.,
pharmacologically). If specific transporters are involved in the
elimination of Na[TmDOTP5
], these potentially could be
blocked by using a pharmacological approach.
Although a negatively charged molecule such as
Na[TmDOTP5
] is not an ideal compound to cross the
blood-brain barrier under physiological conditions, the observation of
the substance in the CSF (Fig. 3) suggests that the blood-brain barrier
"is not an absolute barrier" (7), which may also
explain why a range of NMR agents (e.g., gadolinium) can cross the
intact blood-brain barrier into the CSF (32). When the
integrity of the blood-brain barrier is compromised under pathological
situations (7), then the thulium-based sensor may enter
the extracellular space more readily to enhance the SNR of this NMR
method for T quantification. However, it should be emphasized that the
calibration of the thulium-based sensor is not concentration dependent
(57, 58). If we assume that all of the NMR-observable
signal of Na[TmDOTP5
] is due to its presence in the
extracellular milieu, then the concentration of the sensor after ~3 h
of infusion is ~1 mM (see RESULTS).
Therefore, Na[TmDOTP5
] can serve as an extracellular
thermal probe and be employed to detect absolute T changes in the rat brain. Although the comparison of in vitro, ex vivo, and in vivo spectra of Na[TmDOTP5
] (Fig. 3) shows very good
agreement for the chemical shift differences between peaks, there is a
notable difference in the peak widths observed in vivo (~3 ppm) and
in vitro (~1.5 ppm). Because the static line-broadening effect
induced by large magnetic field inhomogeneities in the 64-µl voxel
(see ref. 21) would be negligible given the natural line broadening of
the peaks due to the extremely short transverse relaxation time values
(see Ref. 58), we suspect that the broadness of the in
vivo peaks may be partly due to a distribution of T as well as pH
values in the 64-µl voxel. Another possibility for this broadening
effect of the in vivo peaks, however, may be due to contributions of
Na[TmDOTP5
] present in blood. Although the
concentration of Na[TmDOTP5
] in the intravascular space
is approximately six times higher than in the extracellular space (see
RESULTS), the intravascular space is ~20 times smaller
than the extracellular space. Thus the largest contribution from blood
would be ~20% of the in vivo observed signal. This fraction could be
reduced even more if paramagnetic effects of hemoglobin in blood are
included. Therefore, it is more likely that the broadening effect of
the in vivo peaks is due to T and pH distributions across different
brain regions.
Future NMR studies of chemical shift imaging (CSI) with multiple
smaller voxels representing the entire 64-µl voxel (see Ref. 19) may help address the issue of T and pH distributions
across different brain regions. Although the
Na[TmDOTP5
] concentration is lower than previously
studied molecules with CSI (e.g., glutamate in Ref. 19),
the extremely short T1 values of the thulium-based
sensor (58) favor significantly more signal averaging for
typical sampling periods needed for CSI experiments. Thus
1H CSI experiments of Na[TmDOTP5
] with <4
µl voxels are very realistic, with modest SNR enhancements via RF
modifications (26, 28, 52). Because the in vivo
spectra of Na[TmDOTP5
] reported here were acquired
in <5 min of signal averaging with a SNR of 15-20 (for
H3 and
H2 peaks), some SNR can be
compromised to improve the temporal resolution even more.
The NMR visibility of Na[TmDOTP5
] in vivo allowed the
calibration of the thermometric sensor to direct and simultaneous
measurements of brain T by using thermocouple wires (Fig. 4). Because
either the upfield or downfield peaks could be detected in a single in vivo experiment due to technical limitations (see MATERIALS AND METHODS), we applied the linear regression analysis results from our in vitro data (Table 1; Eq. 1) to most of our in vivo
data (Fig. 4A). The use of the in vitro results toward the
in vivo data was justified, given the fact that Ca2+,
Na+, and K+ had negligible effects on the
chemical shift of Na[TmDOTP5
] as well as T sensitivity
(see RESULTS). Although the T calibration accuracy with
this analytical approach was acceptable, it was necessary to assume the
brain pH from measured plasma pH. This assumption was removed by use of
the empirical models (Table 2; Eq. 2), where both the
upfield and downfield peaks were detected in sequential NMR experiments
(conducted on the same rat), and the results (Fig. 4B)
suggest that T (and pH) could be predicted with good accuracy. Future
NMR studies with concurrent experiments (see Ref. 20) of
both the upfield and downfield peaks may remove the concerns of T
changes during sequential NMR experiments. Because the best
pH (±0.1) and
T (±0.3°C) are obtained
from simultaneous detection of the
H6 (upfield) and
H3 (downfield) peaks with ~5 min of temporal
resolution (see RESULTS; Table 2), with moderate signal
averaging it would be possible to detect changes in brain pH (12,
46) and T (6, 23) during functional activation (16, 39).
Conclusion.
We have shown that Na[TmDOTP5
] can be used to measure T
in rat brain in vivo. Using ex vivo and in vivo 1H-NMR
experiments, we showed that this substance crosses the blood-brain barrier into the interstitial space. Our calibration of the NMR signals
from Na[TmDOTP5
] in the extracellular space with
thermocouple measurements of T suggests that this substance can be used
as a noninvasive thermometric sensor in vivo with good accuracy. Future
applications of this method in neurobiological models may provide
insight into mechanisms of T as well as pH distributions throughout the
entire brain, changes induced by alterations in neuronal activity, and
regulation in response to therapy.
 |
ACKNOWLEDGEMENTS |
The authors thank engineers T. Nixon, P. Brown, and S. McIntyre for
maintenance of the spectrometer and the RF probe design; B. Wang for
technical support; and I. Kida (Yale University), D. L. Rothman
(Yale University), C. S. Zuo (Beth Israel Deaconess Medical
Center), J. C. LaManna (Case Western Reserve University), and
J. D. Glickson (University of Pennsylvania) for helpful discussions.
 |
FOOTNOTES |
We gratefully acknowledge grant support from the National Institutes of
Health (NS-037203, DC-003710, and MH-067528 to F. Hyder; NS-044316 to
P. K. Maciejewski) and National Science Foundation (DBI-0095173 to
F. Hyder). We also appreciate the helpful comments from the anonymous referees.
Address for reprint requests and other correspondence: F. Hyder, 126 MRC, 330 Cedar St., Yale Univ., New Haven, CT 06510 (E-mail: fahmeed.hyder{at}yale.edu).
The costs of publication of this
article were defrayed in part by the
payment of page charges. The article
must therefore be hereby marked
"advertisement"
in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.
First published November 27, 2002;10.1152/japplphysiol.00841.2002
Received 13 September 2002; accepted in final form 25 November
2002.
 |
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