Glycolysis versus TCA Cycle in the Primate Brain as Measured by Combining 18 F-FDG PET and 13 C-NMR

Abstract

The glycolytic flux (cerebral metabolic rate of glucose CMRglc) and the TCA cycle flux (V_TCA) were measured in the same monkeys by ¹⁸F-fluorodeoxyglucose (¹⁸F-FDG) positron emission tomography (PET) and ¹³C NMR spectroscopy, respectively. Registration of nuclear magnetic resonance (NMR) and PET data were used for comparison of CMRglc and V_TCA in the exact same area of the brain. Both fluxes were in good agreement with literature values (CMRglc 0.23 ± 0.03 μmol/g min, V_TCA = 0.53 ± 0.13 μmol/gmin). The resulting [CMRglc/V_TCA] ratio was 0.46 ± 0.12 (n = 5, mean ± s.d.), not significantly different from the 0.5 expected when glucose is the sole fuel that is completely oxidized. Our results provide a cross-validation of both techniques. Comparison of CMRglc with V_TCA is in agreement with a metabolic coupling between the TCA cycle and glycolysis under normal physiologic conditions.

Keywords

glycolysis NMR PET primate brain TCA cycle

Introduction

Energy synthesis in aerobic organisms relies on two major metabolic pathways: glycolysis and TCA cycle (Stryer, 1975). In the mammal brain, the degree to which both pathways are coupled remains controversial. Under physiologic resting conditions, it is generally accepted that glucose and oxygen consumptions are coupled (Siesjö, 1978; Baron et al, 1984). Glucose being the main fuel for brain energy synthesis under physiologic conditions, the assumption of a coupling between glucose and oxygen consumptions would result in a 1:2 ratio between glycolysis and TCA cycle fluxes (one glucose giving rise to two pyruvates). In contrast, the metabolic coupling is questioned, whether under pathologic conditions (Baron et al, 1984; Schurr et al, 1988) or during focal brain activation (Fox et al, 1988; Prichard et al, 1991; Sappey-Marinier et al, 1992; Fellows et al, 1993), because of either enhanced anaerobic glycolysis or substrates other than glucose being oxidized. The independent measurement of metabolic fluxes through the two pathways would present a major interest in this particular context.

Since the early 1990s, ¹³C NMR spectroscopy has proven to be a unique tool to quantitatively measure the rate of the brain TCA cycle (V_TCA) (Mason et al, 1992; Gruetter et al, 2001; Chen et al, 2001; Chhina et al, 2001). This in vivo approach relies on intravenous infusion of glucose enriched with the nonradioactive ¹³C isotope. After transport of ¹³C-glucose through the blood—brain barrier, the ¹³C label is incorporated into glycolytic and TCA cycle intermediates through the same pathways as unlabeled glucose (Figure 1). V_TCA is derived from the time course of ¹³C incorporation into glutamate. Quantitative measurement of V_TCA relies on the unique property of nuclear magnetic resonance (NMR) spectroscopy to specifically identify the molecule and the atomic position in this molecule at which the isotopic label accumulates. This contrasts with nuclear techniques for which radioactivity is measured, independently of the metabolite to which the radioactive tracer is attached. The principle of V_TCA measurement by NMR is otherwise analogous to the measurement of cerebral metabolic rate of glucose (CMRglc) based on ¹⁸F-fluorodeoxyglucose (¹⁸F-FDG) detection by positron emission tomography (PET). For the PET measurement, ¹⁸F-FDG, a radioactive analog of glucose, is injected intravenously. Contrary to glucose, FDG is not metabolized any further after phosphorylation, leading to ¹⁸F accumulation in the brain pools of ¹⁸F-FDG and ¹⁸F-FDG-6-P (Figure 1). Because PET cannot identify the molecules in which ¹⁸F accumulates, it is essential for accurate data modeling to know which pools are labeled, and that their number stays limited. However, these measurements take advantage of the excellent spatial and time resolution of PET as compared with NMR.

Figure 1

Labeling strategy applied for the measurement of glycolytic and oxidative pathways in the primate brain. Positron emission tomography (PET) detection of ¹⁸F-FDG leads to CMRglc (gray arrow), while nuclear magnetic resonance (NMR) detection of ¹³C incorporation from ¹³C glucose into glutamate leads to the TCA cycle flux V_TCA (black arrows).

Although the first PET measurements of CMRglc were performed more than 25 years ago (Reivich et al, 1977; Kennedy et al, 1978; Phelps et al, 1979), no direct confrontation between NMR-derived V_TCA and PET-derived CMRglc had yet been realized. The objective of this study was to perform both measurements in the same monkeys under identical experimental conditions. Nuclear magnetic resonance measurement of V_TCA was based on the simultaneous detection of glutamate ¹³C4 and ¹³C3 to improve measurement accuracy (Henry et al, 2002; de Graaf et al, 2004). Nuclear magnetic resonance and PET data sets were registered so as to explore the same area of the brain. The purpose of this comparison was to provide a cross-validation of both techniques under normal physiologic conditions in which brain glycolysis and TCA cycle are expected to be coupled.

Materials and methods

Animal Preparation

All experimental procedures were performed in strict accordance with the recommendations of the European Community (86/609) and the French National Committee (87/848) for care and use of laboratory animals. Studies were conducted on five healthy male macaque monkeys (Macaca fascicularis, body weight ~7.0 kg) after they were fasted overnight. Primary anesthesia was induced by ketamine—xylazine injection. Femoral veins were then cannulated for blood sampling, glucose infusion, and intravenous anesthesia (~200 μg/kg min propofol). The head was positioned in a stereotaxic frame with bite-bar and ear rods, the body being in the sphinx position.

Nuclear Magnetic Resonance Acquisition

Nuclear magnetic resonance experiments were performed on a whole-body 3 Tesla system (Bruker, Ettlingen, Germany) equipped with a custom-made surface ¹H coil. Nuclear magnetic resonance measurement of V_TCA in the monkey brain has been described in detail elsewhere (Boumezbeur et al, 2004). Briefly, each study started with the acquisition of high-resolution T1-weighted NMR images (0.66 × 0.66 × 1.40 mm³) for proper positioning of the 30 × 10 × 13 mm³ voxel of interest (VOI) in the brain and for measurement of CSF/gray matter/white matter distribution within the VOI. Shimming was performed down to ~8Hz and a baseline ¹H PRESS spectrum was collected (TE/TR = 8/2,500 ms, 256 scans). ¹H PRESS spectra were then collected during an intravenous infusion of [U-¹³C₆]glucose. Infusion started with a 3-min bolus of 99% ¹³C-enriched glucose to rapidly achieve a three-fold increase in glycemia (~0.3 ml/kg min, 20% wt/vol). Then a 2:1 mixture of [U-¹³C₆] and nonlabeled glucose was infused continuously at a lower rate (~0.01 ml/kgmin, 20% wt/vol) for about 120 mins. As a result, ¹³C-fractional enrichment (FE) of plasma glucose reached ~60% to 65% after 5 mins of infusion and slowly stabilized around 55% to 60% until the end of infusion (Boumezbeur et al, 2004). Blood samples were collected 5, 20, 40, 60, and 100 mins into the infusion protocol. Glycemia was measured using a Onetouch glucose meter (Lifescan Inc., Milpitas, CA, USA) and glucose ¹³C FE was measured using high-resolution NMR spectroscopy on a vertical wide-bore 7T NMR spectrometer (Bruker, Ettlingen, Germany). Finally, a 3D proton density MR image (matrix 128 × 128 × 128, resolution 1 × 1 × 1 mm³) was acquired for registration with ¹⁸F-FDG PET images. Animals were monitored during NMR measurements using an MR compatible Maglife system (Schiller Médical SA, Wissembourg, France). Physiologic parameters remained stable within a normal range (36 to 37°C for body temperature, 50 to 60 mm Hg for noninvasive blood pressure as measured with an air-cuff placed around the arm, 90 to 110/min for cardiac frequency, 18 to 23/min for respiratory frequency and 35 to 40 mm Hg for expired CO₂ saturation). To compensate for the intrinsic lower sensitivity of NMR detection as compared with PET detection, each monkey underwent two NMR studies (V_TCA measurements). For each monkey, the 2nd NMR study was conducted ~2 weeks after the first one, under identical anesthetic conditions.

Nuclear Magnetic Resonance Processing

Difference ¹H PRESS spectra (baseline minus infusion) exhibit signal changes at 2.35 and 2.09 p.p.m. corresponding to the protons bonded to ¹²C carbons of glutamate in positions C4 and C3, respectively. A signal change of opposite sign originates from ¹³C-coupled protons (satellite peaks appearing 135 Hz away from each other), corresponding to the incorporation of ¹³C label into glutamate. The time course of glutamate C4 and C3 FE was derived from difference ¹H PRESS spectra (Boumezbeur et al, 2004). A conventional metabolic model describing the incorporation of ¹³C from blood glucose into brain glutamate was implemented (Mason et al, 1992; Henry et al, 2002). Parameters for glucose transport through the blood—brain barrier were derived from human studies (Gruetter et al, 1998). Blood glucose concentration and FE were used as input functions for the model and glutamate C4 and C3 FE were adjusted, leading to the absolute TCA cycle flux V_TCA. To avoid potential error on V_TCA, no assumption was made on the exchange rate V_X between the TCA cycle intermediate α-ketoglutarate (α-KG) and glutamate (Boumezbeur et al, 2004).

Positron Emission Tomography Acquisition

Positron emission tomography experiments were performed on an ECAT EXACT HR + tomograph (Siemens-CTI, Knoxville, TN, USA), providing simultaneous acquisition of 63 slices with an isotropic intrinsic resolution of 4.5 mm. After completing a transmission scan with a ⁶⁸Ga–⁶⁸Ge source for attenuation correction, PET emission scans were collected for 60mins after ¹⁸F-FDG injection intravenously (94×29 MBq). A total of 24 emission scans was obtained. During the first 3 mins of acquisition, arterial blood samples were collected every 15th second and after that at 5, 7, 10, 15, 20, 30, 40, and 50 mins. They were drawn to measure arterial radioactivity in a cross-calibrated γ-counter (Cobra Quantum D5003, Perkin-Elmer, France). Plasma time—activity curves were corrected for ¹⁸F decay from the time of injection. Glycemia was measured at the beginning and at the end of the protocol. Body temperature, cardiac frequency, and expired CO₂ saturation were monitored during PET experiments and remained stable within the range measured during NMR experiments. Each monkey underwent one PET study (CMRglc measurement).

¹³C-NMR and ¹⁸F-FDG Positron Emission Tomography Registration

Three-dimensional proton density MR images were registered with 3D reconstructed PET scans using rapid, robust and fully automated rigid registration method. Proper image superimposition was achieved by maximization of mutual information (Viola and Wells, 1997). Registration allowed one to accurately localize the NMR-detected VOI within PET images. This VOI was extracted from the 24 PET images and the corresponding time-activity curve was generated with regional activity calculated for each frame and plotted versus time.

Positron Emission Tomography Processing

CMRglc was obtained by applying the three-compartment autoradiographic model introduced by Sokoloff et al (1977) and extended for use in humans with ¹⁸F-FDG as a tracer by Phelps et al (Kennedy et al, 1978; Reivich et al, 1979; Phelps et al, 1979). In the case of gray/white matter mixture, simulation studies have shown that ¹⁸F time—activity curves are best modeled using the irreversible phosphorylation assumption (k*₄ = 0), leading to a 3K model (Schmidt et al, 1991; Schmidt et al, 1995). Tissue vascular fraction was set to 5% and FDG lumped constant was derived from human studies (LC = 0.42 (Phelps et al, 1979)). Arterial plasma radioactivity and glucose concentrations were used as input functions. Model constants (k₁*, k₂*, and k₃*) were identified with a nonlinear least-squares fitting procedure under Pmod (PMOD Technologies, Zürich, Switzerland) (Burger and Buck, 1997) and the cerebral metabolic rate of glucose was derived from: CMRglc = G₀/LC × k₁*k₃*/(k₂* + k₃*), where G₀ is the arterial glucose concentration.

Results

Nuclear Magnetic Resonance Data

Figure 2 presents a T1 scout image acquired in one monkey superimposed to an ¹⁸F-FDG PET image, showing the position of the VOI. The mean VOI composition as determined by image segmentation was 7.4% CSF, 50.6% gray matter, and 42.0% white matter. On average, blood glucose concentration during the 2-h ¹³C-glucose infusion was 6.8 ± 1.3mmol/L (8.5 ± 2.0 mmol/L after 5 mins of infusion and 5.6 ± 1.3 mmol/L at the end of infusion). For each study, glutamate ¹³C4 and ¹³C3 time courses were fitted. Figure 3A shows time courses collected in one monkey, showing a good agreement of experimental data with the metabolic model. The resulting fluxes in the VOI were V_TCA = 0.53 ± 0.13 μmol/g min and V_X = 6.4 ± 5.1 μmol/g min (n = 10, mean ± sd).

Figure 2

Superimposition of T₁ MR image and ¹⁸F-FDG positron emission tomography (PET) image after registration. The 3.9 mL voxel of interest is shown (white rectangle).

Figure 3

Nuclear magnetic resonance (NMR)-measured and positron emission tomography (PET)-measured labeling time courses. (A) Glutamate ¹³C4 and ¹³C3 time courses measured by NMR in one experiment and best fits. (B) ¹⁸F-FDG PET time—activity curve measured in the same voxel and best fit by the three-compartment model. Modeled contributions of FDG and FDG-6-P are shown.

Positron Emission Tomography Data

A registered ¹⁸F-FDG PET image was superimposed to T1 MRI in Figure 2. Image color was scaled with higher radioactivity to the reds and lower to the violet-blues. Plasma glucose concentration remained stable during PET experiments (5.2 ± 1.2 mmol/L). The time—activity curve measured in one monkey in the NMR-detected VOI is plotted in Figure 3B together with the best fit by the three-compartment model. ¹⁸F-FDG and ¹⁸F-FDG-6-P contributions to tissue radioactivity are represented. ¹⁸F-FDG uptake analysis resulted in an average CMRglc of 0.23 ± 0.03 μmol/g min (n = 5, mean ± s.d.).

[CMRglc/VTCA] Ratio

For each monkey, the two NMR-measured V_TCA were averaged. Then the [CMRglc/V_TCA] ratio was calculated, resulting in 0.46 ± 0.12 (n = 5, mean + s.d.).

Discussion

Absolute Values of VTCA and CMRglc

The results presented here for the TCA cycle rate (0. 53 μmol/g min) and the cerebral metabolic rate of glucose (0.23 μmol/g min) are in the lower range of literature values (Noda et al, 2002; Shulman et al, 2004). One possible explanation includes the contribution of white matter to our VOI (Mason et al, 1999), as well as species differences and effects of anesthetics.

Nuclear Magnetic Resonance versus Positron Emission Tomography Physiologic Conditions

Because NMR and PET measurements were not performed simultaneously, it was essential to verify that physiologic conditions were similar during both experiments. Physiologic parameters monitored during experiments did not show any significant difference. A particular concern was the glycemic status of monkeys, since NMR experiments require significantly more ¹³C glucose than the trace amount of ¹⁸F-FDG used in PET. Glycemia as measured during NMR experiments (7.3 mmol/L at the beginning of glucose infusion and 6.0 mmol/L at the end) was slightly higher than during PET experiments (5.6 ± 1.3 mmol/L). However, it is widely accepted that the glucose plasma level—within reasonable limits—has a negligible effect on brain oxidative metabolism (Hasselbalch et al, 1994; Hasselbalch et al, 1996; van Zijl et al, 1997). Thus, from the standpoint of brain metabolism, NMR and PET experiments were conducted under similar physiologic conditions.

Nuclear Magnetic Resonance versus Positron Emission Tomography Metabolic Models

Comparison of V_TCA and CRMglc relies on the assumption that metabolic models used for deriving both fluxes are consistent. For both data types, simple and widely accepted models were used. To parameterize NMR and PET models, human data were taken for glucose transport parameters (K_m, V_max) and for the FDG lumped constant, respectively (Phelps et al, 1979; Gruetter et al, 1998). The use of parameters derived from human studies, which is because of the absence of accurate data on the macaque brain, is commonly accepted for studies on infra-human primates.

Glycolytic versus TCA Cycle Flux

The [CMRglc/V_TCA] ratio (0.46 ± 0.12) is consistent with the 0.5 ratio between glycolytic and TCA cycle fluxes, arguing in favor of a metabolic coupling between glycolysis and TCA cycle under mild anesthesia. For proper interpretation of this ratio, it must be kept in mind that V_TCA as measured using ¹³C-labeled glucose includes the contribution of all possible substrates of acetyl coenzyme A oxidation. In this context, possible explanations for the [CMRglc/V_TCA] ratio being smaller than 0.5 include the contribution of other substrates to the TCA cycle, although measurement accuracy does not allow accurate quantification of this contribution.

In conclusion, this work is the first reported combination of ¹³C-NMR spectroscopy and ¹⁸F-FDG PET performed on the same animals. The resulting [CMRglc/V_TCA] ratio was not significantly different from the 0.5 expected under normal physiologic conditions, showing that NMR and PET approaches provide highly consistent results when performed in the same animals under similar physiologic conditions. Therefore, this work can be interpreted as a cross-validation of both imaging techniques. This approach should prove useful for exploring possible uncoupling between glycolytic and oxidative pathways during focal cerebral activation or brain disease.

Footnotes

Acknowledgements

The authors thank Dr Claire Wary for careful rereading of this manuscript.

References

Baron

Rougemont

Soussaline

Bustany

Crouzel

Bousser

Comar

(1984) Local interrelationships of cerebral oxygen consumption and glucose utilization in normal subjects and in ischemic stroke patients: a positron tomography study. J Cereb Blood Flow Metab 4:140–9

Boumezbeur

Besret

Valette

Vaufrey

Henry

P-G

Slavov

Giacomini

Hantraye

Bloch

Lebon

(2004) NMR measurement of brain oxidative metabolism in monkeys using ¹³C-labeled glucose without a ¹³C radiofrequency channel. Magn Reson Med 52: 33–40

Burger

Buck

(1997) Requirements and implementation of a flexible kinetic modeling tool. J Nucl Med 38:1818–33

Chen

Zhu

Gruetter

Seaquist

Adriany

Ugurbil

(2001) Study of tricarboxylic acid cycle flux changes in human visual cortex during hemifield visual stimulation using (1)H-[(13)C] MRS and fMRI. Magn Reson Med 45:349–55

Chhina

Kuestermann

Halliday

Simpson

Macdonald

Bachelard

Morris

(2001) Measurement of human tricarboxylic acid cycle rates during visual activation by (13)C magnetic resonance spectroscopy. J Neurosci Res 66:737–46

de Graaf

Mason

Patel

Rothman

Behar

(2004) Regional glucose metabolism and glutamatergic neurotransmission in rat brain in vivo. Proc Natl Acad Sci USA 101:12700–5

Fellows

Boutelle

Fillenz

(1993) Physiological stimulation increases nonoxidative glucose metabolism in the brain of the freely moving rat. J Neurochem 60:1258–63

Fox

Raichle

Mintun

Dence

(1988) Nonoxidative glucose consumption during focal physiologic neural activity. Science 241:462–4

Gruetter

Seaquist

Ugurbil

(2001) A mathematical model of compartmentalized neurotransmitter metabolism in the human brain. Am J Physiol Endocrinol Metab 281:E100–12

10.

Gruetter

Ugurbil

Seaquist

(1998) Steady-state cerebral glucose concentrations and transport in the human brain. J Neurochem 70:397–408

11.

Hasselbalch

Knudsen

Holm

Hageman

Capaldo

Paulson

(1996) Transport of d-glucose and 2-fluorodeoxyglucose across the blood—brain barrier in humans. J Cereb Blood Flow Metab 16:659–666

12.

Hasselbalch

Knudsen

Jakobsen

Hageman

Holm

Paulson

(1994) Brain metabolism during short-term starvation in humans. J Cereb Blood Flow Metab 14:125–31

13.

Henry

Lebon

Vaufrey

Brouillet

Hantraye

Bloch

(2002) Decreased TCA cycle rate in the rat brain after acute 3-NP treatment measured by in vivo 1H-[¹³C] NMR spectroscopy. J Neurochem 82:857–66

14.

Kennedy

Sakurada

Shinohara

Jehle

Sokoloff

(1978) Local cerebral glucose utilization in the normal conscious macaque monkey. Ann Neurol 4:293–301

15.

Mason

Pan

Chu

Newcomer

Zhang

Orr

Hetherington

(1999) Measurement of the tricarboxylic acid cycle rate in human grey and white matter in vivo by ¹H-[¹³C] magnetic resonance spectroscopy at 4.1T. J Cereb Blood Flow Metab 19:1179–88

16.

Mason

Rothman

Behar

Shulman

(1992) NMR determination of the TCA cycle rate and alphaketoglutarate/glutamate exchange rate in rat brain. J Cereb Blood Flow Metab 12:434–47

17.

Noda

Ohba

Kakiuchi

Futatsubashi

Tsukada

Nishimura

(2002) Age-related changes in cerebral blood flow and glucose metabolism in conscious rhesus monkeys. Brain Res 936:76–81

18.

Phelps

Huang

Hoffman

Selin

Sokoloff

Kuhl

(1979) Tomographic measurement of local cerebral glucose metabolic rate in humans with (F-18)2-fluoro-2-deoxy-d-glucose: validation of method. Ann Neurol 6:371–88

19.

Prichard

Rothman

Novotny

Petroff

OAC

Kuwabara

Avison

Howseman

Hanstock

Shulman

(1991) Lactate rise detected by ¹H NMR in human visual cortex during physiologic stimulation. Proc Natl Acad Sci USA 88:5829–31

20.

Reivich

Kuhl

Wolf

Greenberg

Phelps

Ido

Casella

Fowler

Gallagher

Hoffman

Alavi

Sokoloff

(1977) Measurement of local cerebral glucose metabolism in man with ¹⁸F-2-fluoro-2-deoxy-d-glucose. Acta Neurol Scand Suppl 64:190–1

21.

Reivich

Kuhl

Wolf

Greenberg

Phelps

Ido

Casella

Fowler

Hoffman

Alavi

Som

Sokoloff

(1979) The [¹⁸F]fluorodeoxyglucose method for the measurement of local cerebral glucose utilization in man. Circ Res 44:127–37

22.

Sappey-Marinier

Calabrese

Fein

Hugg

Biggins

Weiner

(1992) Effect of photic stimulation on human visual cortex lactate and phosphates using ¹H and 31P magnetic resonance spectroscopy. J Cereb Blood Flow Metab 12:584–92

23.

Schmidt

Mies

Sokoloff

(1991) Model of kinetic behavior of deoxyglucose in heterogeneous tissues in brain: a reinterpretation of the significance of parameters fitted to homogeneous tissue models. J Cereb Blood Flow Metab 11:10–24

24.

Schmidt

Mies

Dienel

Cruz

Crane

Sokoloff

(1995) Analysis of time courses of metabolic precursors and products in heterogeneous rat brain tissue: limitations of kinetic modeling for predictions of intracompartmental concentrations from total tissue activity. J Cereb Blood Flow Metab 15:474–84

25.

Schurr

West

Rigor

(1988) Lactate-supported synaptic function in the rat hippocampal slice preparation. Science 240:1326–8

26.

Shulman

Rothman

Behar

Hyder

(2004) Energetic basis of brain activity: implications for neuroimaging. Trends Neurosci 27:489–95

27.

Siesjö

(1978) Brain energy metabolism. New York: John Wiley and Sons

28.

Sokoloff

Reivich

Kennedy

DesRosiers

Patlak

Pettigrew

Sakurada

Shinohara

(1977) The [¹⁴C]deoxyglucose method for the measurement of local cerebral glucose utilization: theory, procedure, and normal values in the conscious and anesthetized albino rat. J Neurochem 28:897–916

29.

Stryer

(1975) Biochemistry. New York: Freeman

30.

van Zijl

Davis

Eleff

Moonen

Parker

Strong

(1997) Determination of cerebral glucose transport and metabolic kinetics by dynamic MR spectroscopy. Am J Physiol 273:E1216–27

31.

Viola

Wells

(1997) Alignment by maximization of mutual information. Int J Comput Vis 24: 137–154

Glycolysis versus TCA Cycle in the Primate Brain as Measured by Combining 18 F-FDG PET and 13 C-NMR

Abstract

Keywords

Introduction

Materials and methods

Animal Preparation

Nuclear Magnetic Resonance Acquisition

Nuclear Magnetic Resonance Processing

Positron Emission Tomography Acquisition

13C-NMR and 18F-FDG Positron Emission Tomography Registration

Positron Emission Tomography Processing

Results

Nuclear Magnetic Resonance Data

Positron Emission Tomography Data

[CMRglc/VTCA] Ratio

Discussion

Absolute Values of VTCA and CMRglc

Nuclear Magnetic Resonance versus Positron Emission Tomography Physiologic Conditions

Nuclear Magnetic Resonance versus Positron Emission Tomography Metabolic Models

Glycolytic versus TCA Cycle Flux

Footnotes

Acknowledgements

References

¹³C-NMR and ¹⁸F-FDG Positron Emission Tomography Registration