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Phosphate Metabolite T1 Relaxation Times, ATP Hydrolysis Flux and Creatine Kinase Reaction Kinetics in the Human Skeletal Muscle.
Adil Bashir1, Jianyi Zhang2, and Thomas S Denney 1
1Electrical and Computer Engineering, Auburn University, Auburn, AL, United States, 2Biomedical Engineering, The University of Alabama at Birmingham, Birmingham, AL, United States

Synopsis

Long TR and low concentration makes the quantification of inorganic phosphate (Pi) difficult in 31P magnetization saturation transfer experiments. An indirect method to measure Adenosine Triphosphate (ATP) turnover was demonstrated in animal studies, which does not require quantification of Pi. We demonstrate the application and validation of this technique in human studies. We measured the fluxes of ATP production and hydrolysis reactions using the indirect approach and validated the results against direct measurements. We also report the intrinsic T1 of Phosphocreatine, ATP and Pi in skeletal muscle at 7T. This will facilitate future studies of impaired bioenergetics in vivo.

INTRODUCTION:

Various biochemical process generate the energy needed to support normal function and activity of tissues. Adenosine Triphosphate (ATP) metabolism is one of the most fundamental process for supporting various cellular activities in the living tissue. Impaired ATP production and utilization is potential biomarker of cellular function in variety of diseases1-5. Major high energy phosphorus metabolites detected by in vivo 31P-MRS include phosphocreatine (PCr), inorganic phosphate (Pi), and ATP with the γ-, α-, and β resonances. These metabolites compose a chemical exchange network $$$PCr\rightleftarrows ATP \rightleftarrows Pi$$$ catalyzed by the enzymes creatine kinase (CK) and ATP synthase (ATPase). 31P magnetization saturation transfer (MST) spectroscopy experiments have been extensively used to measure rate of CK forward flux ($$$ PCr \rightarrow ATP $$$) myocardium. However, measuring ATP hydrolysis ($$$ ATP \rightarrow ADP+Pi $$$) is problematic in heart because the level of Pi is too low and the peak attributed to Pi overlaps with the much larger peak for 2,3-disphosphoglycerate6,7. Recent reports in open chest animal heart have demonstrated that ATP turnover can indirectly by measuring total ATP utilization and subtracting out the measurable component that can be attributed to ATP flux via CK8,9. In this work, we demonstrate the feasibility of the technique in human skeletal muscle at 7T. Major aim of this work was to determine the validity of the technique by comparing indirect approach with direct measurement of ATP utilization in skeletal muscle where Pi peak is quantifiable.

METHODS:

Experiments were performed on a Siemens 7T Magnetom (Erlangen, Germany) using a dual tuned 31P/1H loop coil in healthy subjects (n=4). Subjects were placed supine in the scanner with the RF coil under the calf. 31P MR spectra were acquired with 2.56 ms adiabatic half passage RF pulse for excitation and selective saturation of γ-ATP or of both PCr and Pi was achieved by using the B1-insentitive train to obliterate signal (BISTRO) technique [10] (Figure 1). The complete protocol consisted of five experiments, (1) Fully relaxed control spectrum to determine Mo,PCr, Mo,Pi and Mo,γ-ATP (d1=12 s, averages=4). (2) Spectrum with γ-ATP saturated to determine Ms,PCr and Ms,Pi (d1=15 s, averages = 8). (3) Spectrum with both PCr and Pi saturated to determine Ms,γ-ATP (d1=6 s averages=8). (4) Inversion recovery experiment with both PCr and Pi saturated to measure the intrinsic T1 of γ-ATP (d1=4 s, TI=0.2, 0.4. 0.8, 1.2, 1.8, 2.6, 4 s, aveages=8) 11. (5) Progressive saturation transfer experiment with γ-ATP saturated to measure intrinsic T1 or PCr and Pi (d1 = 14s, Tsat=0.2, 0.4, 0.8, 1.4, 2.6, 5.0, 8.0s, averages=4). The spectral width was 6 kHz and 1024 data points were acquired. Spectra were processed offline using the jMRUI (Java-based magnetic resonance user interface) software to determine resonance areas for γ-ATP, PCr and Pi. The forward rate constants were determined by8,11 $$k_{PCr(Pi)\rightarrow ATP}=\left(\frac{M_{o,PCr(Pi)}-M_{s,PCr(Pi)}}{M_{o,PCr(Pi)}}\right)/T_{1,PCr(Pi)}^{app}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;(1) $$and the reverse rate constant $$k_{ATP,total}=\left(\frac{M_{o,\gamma ATP}-M_{s,\gamma ATP}}{M_{o,\gamma ATP}}\right)/T_{1\gamma ATP}^{app}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;(2)$$ where $$$ k_{ATP,total}=k_{ATP \rightarrow Pcr} + k_{ATP \rightarrow Pi} $$$. ATP hydrolysis rate constant $$$ k_{ATP \rightarrow Pi} $$$ is determined by subtracting $$$ k_{ATP \rightarrow PCr} $$$ from $$$ k_{ATP,total} $$$ where $$ k_{ATP \rightarrow PCr} =\frac{M_{o,PCr}}{M_{o,\gamma ATP}}k_{PCr \rightarrow \gamma ATP} \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;(3) $$ assuming CK reaction is in equilibrium. Energy fluxes were calculated by multiplying the rate constant with the previously reported metabolite concentrations11.

RESULTS:

Typical MST spectra are displayed in Figure 2 and 3. Results from experiments 4 and 5 are used to calculate the intrinsic T1s for PCr (6.4±0.3 s), γ-ATP (1.9±0.4 s) and Pi (7.25±1.9 s). The declines in PCr and Pi that occurred in response γ-ATP saturation (Experiment 1 and 2) were used to calculate the forward rate constants for the PCr→ATP (kPCr→ATP=0.25±0.03 s-1) and Pi→ATP (kPi→ATP=0.03±0.01 s-1) using Eq 1. The decrease in γ-ATP that occurred due to double saturation of PCr and Pi (Experiments 1 and 3) was used to calculate the reverse rate constant for the combined ATP→PCr and ATP→Pi reactions (kATP,tot=1.32±0.10 s-1) using Eq 2 and 3. The total ATP production flux (10.18±0.9 mM.s-1) calculated by conventional MST approach with saturation on γ-ATP ( sum of the fluxes of PCr→ATP and Pi→ATP reactions) matched the total ATP utilization flux (10.23±0.67 mM.s-1) i.e. combined ATP→PCr and ATP→Pi reactions measured by indirect approach thus demonstrating the validity of the technique.

DISCUSSION:

We have demonstrated and validated a method to measure ATP utilization flux without need to quantify Pi. Specifically, we measured the forward chemical exchange flux of the CK and ATPase reaction and compared it with the reverse chemical exchange flux of ATP hydrolysis and CK at 7T in human skeletal muscle. The two fluxes are in agreement thus validating the double saturation approach. Similar fluxes have been reported using inversion transfer MST approach13. The indirect 31P MRS-MST method has the potential to significantly reduce the scan time by eliminating the need to quantify Pi levels.

CONCLUSION:

The indirect methods to quantify ATP hydrolysis flux has direct application in cardiac studies where Pi resonance is not measureable. This may provide important insights into biological mechanisms of impaired bioenergetics associated with heart diseases. The method can be applied to organs where Pi is visible with improved SNR since Pi concentration is low and has longer TR.

Acknowledgements

We would like to thank Dr. Ronald Beyers and Sultan Zaman Mahmud for helpful discussion with experimental setup and analysis.

References

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Figures

Figure 1: (a) BISTRO based saturation transfer pulse sequence. Tsat is the saturation time and d1 for relaxation of magnetization. TR = Tsat + d1 (b) Simulation of single saturation (green) and dual saturation (blue) BISTRO RF pulse at various power levels overlaid over spectrum from skeletal muscle demonstrating saturation of γ-ATP (single saturation) and PCr and Pi (dual saturation) frequencies.

Figure 2: Three representative spectra from magnetization saturation transfer experiment to measure myocardial ATP turnover rate. Control spectrum (middle) without saturation pules to measure Mo,PCr, Mo,Pi and Mo,γ-ATP. Single resonance (γ-ATP) saturated spectrum (left) to quantify Ms,PCr and Ms,Pi. Dual resonance (PCr and Pi) saturated spectrum (right) to quantify Ms,γ-ATP. The results are combined with T1 measurements (Fig 3) to calculate γ-ATP production and utilization.

Figure 3: Measurements of apparent T1s. (a) Progressive MST spectra with γ-ATP saturation. (b) Inversion-recovery spectra with PCr and Pi double saturation. The respective magnetizations were plotted against (c) Tsat - saturation time, (d) TI - inversion time. The data was fit with an exponential model to retrieve the corresponding apparent T1s. Red symbols are measured data points and green lines are the best fit.

Proc. Intl. Soc. Mag. Reson. Med. 28 (2020)
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