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J Appl Physiol 94: 1641-1649, 2003. First published November 27, 2002; doi:10.1152/japplphysiol.00841.2002
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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
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

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
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

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
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

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 (delta H2 and delta H3) and the upfield (delta H6 and delta H1) peaks (delta ) 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 (delta H6 and delta H1; magnitude) or downfield (delta H2 and delta 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.

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 
&dgr;=m<SUB>T</SUB> × T<IT>+k</IT><SUB>T</SUB> (1A)

&dgr;=m<SUB>pH</SUB> × pH<IT>+k</IT><SUB>pH</SUB> (1B)

&dgr;=m<SUB>cation</SUB> × [cation]<IT>+k</IT><SUB>cation</SUB> (1C)
where delta , 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 (delta H6 and delta H1) and downfield (delta H2 and delta 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 
T<IT>=a</IT>1 (<IT>e</IT><SUP><IT>a</IT>2<IT> × </IT>pH</SUP>) ‖&dgr;<SUB><IT>X</IT></SUB><IT>‖</IT><SUP><IT>a</IT>3</SUP> (2A)

pH<IT>=b</IT>1<IT>+ </IT>(<IT>b</IT>2<IT>+b</IT>3<IT> × &dgr;<SUB>Y</SUB></IT>) T (2B)
The nominal values of the parameters (a1-a3, b1-b3) for each peak were estimated by regression procedures to fit T (delta X,pH) and pH (delta Y,T) by using measured values for T, pH, and delta X = delta 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 (delta X) and one from downfield (delta 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 delta , T, and pH. Equation 1 assumes that delta  is linearly related to T and pH, whereas Eq. 2 assumes a power law relationship among delta , 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 alpha -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 delta H2 and the delta 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
<FR><NU><LIM><OP>∫</OP></LIM> &dgr;<SUB>TSP</SUB> (in vitro)</NU><DE><LIM><OP>∫</OP></LIM> &dgr;<SUB>H2</SUB> (in vitro)</DE></FR><IT>=K </IT><FR><NU>[TSP<SUB>in vitro</SUB>]</NU><DE>[H2<SUB>in vitro</SUB>]</DE></FR> (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)
[H2<SUB>CSF / blood plasma</SUB>]<IT>=K</IT> <FR><NU><LIM><OP>∫</OP></LIM> &dgr;<SUB>H2</SUB>(CSF/blood plasma)</NU><DE><LIM><OP>∫</OP></LIM> &dgr;<SUB>TSP</SUB>(CSF/blood plasma)</DE></FR> [TSP<SUB>CSF / blood plasma</SUB>] (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 (delta H2 and delta H3) or the upfield (delta H6 and delta 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 (delta H2 and delta H3) and/or the upfield (delta H6 and delta H1) peaks were analyzed and corrected for blood pH effects (wherever necessary).


    RESULTS
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ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

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 delta H2 peak is graphically presented in Fig. 2. Although the delta 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 delta H6 peak, which also has a high-T sensitivity (0.93 ± 0.05 ppm/°C). The delta H2 and delta 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 delta 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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Table 1.   In vitro T and pH sensitivities of Na[TmDOTP5-] (Eq. 1)



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Fig. 2.   Dependence of changes in the chemical shift of the delta 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.

Because the downfield (delta H2 and delta H3) and upfield (delta H6 and delta 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 delta H6 and delta H3 peaks [temperature prediction (epsilon T) = ±0.3°C; pH prediction (epsilon pH) = ±0.1] or the delta H6 and delta H2 peaks (epsilon T = ±0.4°C; epsilon pH = ±0.1). The lowest accuracy for epsilon T and epsilon pH was obtained from either the delta H3 and delta H1 peaks (epsilon T = ±6.8°C; epsilon pH = ±0.9) or the delta H2 and delta H1 peaks (epsilon T = ±12.2°C; epsilon pH = ±1.9).

                              
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Table 2.   Uncertainties in simultaneous T and pH predictions in vitro (Eq. 2)

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 (delta H2 and delta 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 (delta H2 and delta 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 delta H6 and delta H1 "upfield" peaks (data not shown), the SNR of the delta 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 delta H2 and delta H3 downfield peaks.


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Fig. 3.   Comparison of the downfield (delta H2 and delta 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.

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 epsilon T by using either the downfield peaks (Eq. 1) or both the upfield and the downfield peaks together (Eq. 2), respectively. Both the downfield (delta H2 and delta H3) and the upfield (delta H6 and delta 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., delta H6 and delta 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 delta H2 peak, where the accuracy of epsilon T was reasonable (epsilon 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 delta H6 and delta H2 peaks used simultaneously, where the accuracy of the epsilon T was slightly improved (epsilon T = ±0.4°C) and the pH was predicted (see Fig. 4B, inset) simultaneously with good accuracy (epsilon pH = ±0.1) by using the empirical models (Eq. 2). The higher uncertainties in epsilon T and epsilon 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 delta 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 delta H6 and delta 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.


    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

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 delta H3 and delta 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 epsilon pH (±0.1) and epsilon T (±0.3°C) are obtained from simultaneous detection of the delta H6 (upfield) and delta 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.


    REFERENCES
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
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