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# Measurement of lipogenic flux by deuterium resolved mass spectrometry

## Abstract

De novo lipogenesis (DNL) is disrupted in a wide range of human disease. Thus, quantification of DNL may provide insight into mechanisms and guide interventions if it can be performed rapidly and noninvasively. DNL flux is commonly measured by 2H incorporation into fatty acids following deuterated water (2H2O) administration. However, the sensitivity of this approach is limited by the natural abundance of 13C, which masks detection of 2H by mass spectrometry. Here we report that high-resolution Orbitrap gas-chromatography mass-spectrometry resolves 2H and 13C fatty acid mass isotopomers, allowing DNL to be quantified using lower 2H2O doses and shorter experimental periods than previously possible. Serial measurements over 24-hrs in mice detects the nocturnal activation of DNL and matches a 3H-water method in mice with genetic activation of DNL. Most importantly, DNL is detected in overnight-fasted humans in less than an hour and is responsive to feeding during a 4-h study. Thus, 2H specific MS provides the ability to study DNL in settings that are currently impractical.

## Introduction

De novo lipogenesis (DNL) is the synthesis of fatty acids from non-lipid nutrients, such as carbohydrates, and is essential for long-term calorie storage and the maintenance of cell membranes. This process occurs in the cytosol of most cells but is highest in liver and adipose tissues1. Lipogenic genes are regulated by sterol regulatory element-binding protein-1c (SREBP-1c)2 and carbohydrate-responsive element-binding protein (ChREBP)3 in response to cell signaling and glycolytic intermediates. Overactivation of these transcription factors during obesity and insulin resistance triggers non-alcoholic fatty liver disease4 (NAFLD) by elevating hepatic DNL5,6,7. NAFLD carries additional risk for dyslipidemia, cardiovascular disease, steatohepatitis, cirrhosis, and hepatocellular carcinoma8. DNL is also elevated in some types of cancer cells9, may be disrupted in central nervous tissue during neurological disease10, and plays a role in the transformation of immune cells11. In addition to its role in nutrient metabolism, DNL generates endogenous ligands essential for cell signaling pathways such as PPARα12,13, and small amounts of DNL in mitochondria are necessary for normal mitochondrial function14. Hence, the ability to monitor the function of DNL in settings ranging from organelles, cells, tissue biopsies, mouse models, and humans will facilitate the discovery of new molecular physiology and potential interventions for many different diseases.

As with most metabolic pathways, measuring DNL flux by isotope tracers requires that precursors and products of the pathway be well defined. DNL begins with the carboxylation of acetyl-CoA to malonyl-CoA by acetyl-CoA carboxylase. Fatty acid synthase (FASn) condenses acetyl-CoA and sequential units of malonyl-CoA and, after each elongation, reduces carbonyl groups by NADPH-dependent reductases and H+ captured from water. Thus, each 2-carbon unit of a new fatty acid originates from acetyl-CoA, and its hydrogens originate predictably from NADPH, H2O, and the original acetyl/malonyl-CoA methyl group (Fig. 1a)15. The primary product of FASn is palmitoyl-CoA, though elongase and desaturase enzymes can subsequently produce all non-essential fatty acids. In the liver, new fatty acyl-CoAs are largely converted to triglyceride (TG) and secreted into circulation as VLDL. Thus, palmitate isolated from liver TG or circulating TG is used as an analyte for hepatic DNL measurements.

Carbon isotope (13C and 14C) labeled substrates that form acetyl-CoA or hydrogen isotopes (2H and 3H) of body water are candidate tracers of DNL1,15,16. Lipogenic 14C-substrates that form acetyl-CoA (e.g., glucose, acetate, etc.) detect DNL with high sensitivity, but quantification is complicated since dilution of the lipogenic acetyl-CoA pool is difficult to assess. More sophisticated 13C approaches, such as mass isotopomer distribution analysis (MIDA), provide acetyl-CoA dilution and fractional DNL by a statistical analysis of palmitate mass isotopomers17. However, the method requires constant infusion to maintain steady-state precursor enrichment, which is impractical for extended experimental periods. Hydrogen isotope tracers of water overcome this limitation because its enrichment diminishes very slowly following initial administration and can be maintained for months with enriched drinking water6. When present, hydrogen isotopes of body-water incorporate into new palmitate at known positions and stoichiometry (Fig. 1a). Measuring tritium (3H) labeled FAs is sensitive and straightforward18, but safety and logistical considerations limit the use of radiolabeled tracers in preclinical models and virtually prohibit their use in humans. In contrast, administration of 2H2O is safe, inexpensive, convenient, and has been used extensively to estimate DNL in vivo1.

Gas chromatography-electron ionization-MS (GC-EI-MS) detects palmitate (as methyl palmitate, C17H34O2) with high sensitivity, and 2H incorporation is commonly measured as mass shifts in the spectra (i.e., M + 1, M + 2, M + 3, etc.)16. The 2H labeling of a new lipid molecule is a function of DNL flux, body-water enrichment, and the total number of exchangeable hydrogens. Palmitate has 31 hydrogens, but only 22 are exchangeable during synthesis19. Hence, the 2H fractional enrichment of the palmitate pool increases over time towards a maximum enrichment that is proportional to DNL and 22 x body-water enrichment. Typical 2H2O doses in mice enrich body-water to ~5%20, but ~0.5% enrichment is more common in human studies6,19. To reach this body-water enrichment, human subjects must drink ~200 mL of 70% 2H2O, which is usually divided over several hours to avoid nystagmus and nausea21. This staggered administration prolongs the study period, limits throughput, and convolutes the first several hours of labeling during an acute 2H2O study. Here, we investigate the use of high-resolution Orbitrap gas chromatography mass spectrometry (HR-Orbitrap-GC–MS) to resolve 2H and 13C fatty acid mass isotopomers. We report that this approach allows 2H2O doses that are 50-times lower than the typical mouse dose and two times lower than the typical human dose, and that tracer incorporation into plasma TG-fatty acids can be detected 1-h after administration. The combination of lower doses and rapid detection will allow DNL flux to be investigated in clinical and basic studies that were previously impractical.

## Results

### 2H-palmitate and body water measurement by HR-Orbitrap-GC–MS

The low natural abundance of 2H (0.015%) makes tracer doses of less than 0.5% theoretically possible, but quantitation of low 2H enrichment by GC–MS is limited by natural abundance isotopes of other nuclei in the analyte16. Most notably, the 1.1% natural abundance of 13C produces a background M + 1 that is ~18% of the M + 0 palmitate ion. Natural abundance correction algorithms provide reliable 2H mass enrichments, if excess enrichment in the mass isotopomer distribution can be detected16. Under ideal conditions, this approach is limited to >0.1% molar excess 2H in palmitate19. A binomial model of 2H enrichment16 predicts that a fractional DNL flux of 10% in the presence of 0.3% body water will produce 0.7% molar excess 2H enriched palmitate, which is consistent with previous DNL measurements in humans under these parameters19. However, the challenge of making this measurement is illustrated by simulation data that predicts nearly imperceptible increases in M + 1 (+3%) and M + 2 (+5%) as the fraction of new lipid (fractional DNL) ranges from 0 to 10% (Fig. 1b).

In principle, palmitate 13C1 and 2H1 (M + 1) mass shifts can be resolved with a minimum resolving power of 165,00022. Baseline separation of 13C1 and 2H1 has been demonstrated for palmitate and peptides using Fourier transform ion cyclotron resonance mass spectrometry23, an instrument that can achieve a resolution >600,000, but requires long scan times (~4 s), a high-field superconducting magnet, and is generally restricted to MS technology development laboratories. More recently, high-resolution Orbitrap MS detection has become commercially available, making it feasible to resolve 13C and 2H mass shifts in metabolism labs. To establish whether this approach provides an advantage over unit resolution MS, we simulated ultra-high-resolution MS (HRMS) mass isotopomers of 2H-palmitate across a 0–10% range of fractional DNL and a 0.3% body water enrichment. In contrast to unit resolution M + 1 (Fig. 1b), the 2H1 M + 1, 2H2 M + 2, and 2H3 M + 3 signals increase robustly across this range (Fig. 1c). Thus, HRMS provides a major theoretical advantage for detecting DNL at very low precursor and product enrichments.

To experimentally evaluate the approach, we first determined whether 13C1 and 2H1 M + 1 in [1-2H1] palmitate standards are resolved by HR-Orbitrap-GC–MS with 240,000 resolution (FWHM, m/z 200). Pentafluorobenzyl bromide was used to derivatize palmitate prior to analysis in electron capture negative ion (ECNI) mode. ECNI detection of the pentafluorobenzyl ester produced an unfragmented palmitate-ion (C16H31O2, exact mass 255.2324) with higher efficiency and a 1000-fold higher sensitivity than EI detection of the methyl ester (Supplementary Fig. 1). It was recently noted that Orbitrap detectors develop analytical artifacts when automatic gain control (AGC) target settings saturate the detector with ions, or when scan windows are too large22. Thus, we analyzed palmitate standards using full scan and targeted-selected ion monitoring (t-SIM) at different AGC targets (2e4, 2e5, and 3e6). The M + 1 of 2H1 and 13C1 of palmitate standards were well-resolved by both methods (illustrated for t-SIM in Fig. 2a). Next, we evaluated the linearity of the various methods in unlabeled and 2H1-palmitate standards. Small amounts of 2H natural abundance were corrected using an unlabeled standard and a matrix algorithm24. As previously reported22, there was a loss of ions in full scan mode, as indicated by a slope less than 1 (Fig. 2b). Examination of the raw data (Supplementary Fig. 2) confirmed that full scan data are vulnerable to loss of ions, particularly at high AGC target values, consistent with space charge effects. Palmitate 2H was detected in t-SIM mode with good accuracy (94-107%) and precision (coefficient of variation <10%) (Supplementary Table 1). The natural abundance distribution of 13C, 2H, and 18O could be detected, but with lower than expected 2H abundance (Fig. 2c), which might indicate some ion loss at very low enrichment (Supplementary Fig. 3). Nevertheless, palmitate standards produced a near ideal response (slope = 1), with no AGC target effect (Fig. 2d). Linearity and slope were maintained at enrichments <0.05% palmitate 2H (Fig. 2e), which is 20-fold lower than palmitate enrichments detected in humans during a 2H2O study25, and 2-fold lower than the limit of precision for unit resolution MS19. Thus, resolving 2H and 13C isotopologues allow 2H enrichment in palmitate to be determined with high sensitivity and precision.

In addition to detecting 2H palmitate at low enrichment, quantifying low 2H body-water during a 2H2O experiment presents separate challenges for DNL measurements. Isotope ratio mass spectrometry (IRMS)26 and 2H NMR27 can detect 2H in water at, or below, natural abundance, but compared to GC–MS, these specialized instruments are uncommon in metabolism labs. A simplified technique allows 2H2O enrichment to be measured following base-catalyzed hydrogen exchange into acetone, with subsequent detection of deuterated acetone by GC–MS28,29. Again, the sensitivity of this approach is limited by background 13C (~3% total) natural abundance28. However, HR-Orbitrap-GC–MS easily meets the minimum resolution (18,000) required to resolve 2H and 13C isotopomers of acetone22. The 2H of water could be detected as M + 1 2H1 acetone at natural abundance levels (Fig. 2f). Standard curves resulted in a stoichiometric slope with excellent linearity at both high enrichment (0–6%) (Fig. 2g) and low enrichment (0–0.3%) ranges (Fig. 2h). To confirm the reliability of body-water 2H2O detection, mice were injected with 1–20 µL/g body-weight doses of 2H2O (saline), and 5 µL blood samples were examined. The 2H2O dose equilibrated with body-water nearly completely in 0.5-h (Fig. 2i), and body-water 2H2O enrichment was precisely proportional to injection volumes (Fig. 2j). The 1 µL/g 2H2O dose was easily detected as a ~0.15% body-water enrichment, which is 2 to 3-fold less than the body-water enrichment used in humans. Thus, HR-Orbitrap GC–MS detects both plasma TG/palmitate and body-water at low 2H enrichments necessary for in vivo determination of DNL flux.

### Quantifying DNL in mice

We next tested whether these 2H2O doses (1, 2.5, 5, and 20 µL/g body weight) could be used to quantify DNL in mice. Mice were fasted overnight and refed their normal chow diet 2-h before the administration of 2H2O. Plasma was collected at 0.5,1, 2, 2.5, 3, 4, and 24-h. HR-Orbitrap-GC–MS provided excellent resolution of palmitate 13C1 and 2H1 isotopomers of M + 1 (Fig. 3a), and 13C2, 13C12H1, 2H2, and 18O1 isotopomers of M + 2 (Fig. 3b). 2H isotopomers evolved proportionally with dose and duration of exposure (Fig. 3c). Most palmitate 2H enrichment arose from 2H1 at lower doses, but ~30% 2H2 and 10% 2H3 contributions were observed at the highest dose (20 µL/g) (Fig. 3d). This distribution will be further shifted to higher 2Hx at higher doses, in accordance with a binomial distribution16. DNL was determined from palmitate enrichment, body-water enrichment (determined by 2H exchange into acetone as described above), and the number of exchangeable hydrogens on palmitate. This latter value was estimated to be ~22 from the ratio of fractional 2H1 (0.091) to 2H2 (0.027) in palmitate for the 20 µl/g group (Fig. 3d), which was consistent with the previous studies19. The 2H2O dose had no effect on the rate of DNL (Fig. 3e), confirming that larger doses did not alter feeding. Since clinical applications must assume that plasma TG enrichment reflects liver TG enrichment, DNL was measured in TG-palmitate from mouse liver extracts 24-h after 2H2O administration (Fig. 3f). There was an excellent correlation (R2 = 0.987) between 2H palmitate enrichment in plasma and liver TGs, suggesting that TG-palmitate sampled from blood reflects hepatic DNL in mice.

While palmitate is the primary product of FASn, and the most common fatty acid analyte used to determine hepatic DNL, the synthesis of other non-essential fatty acids in plasma TG was also detected (Supplementary Fig. 4). As expected, palmitate, the major product of FASn and stearate (18:0), a single elongation of palmitate, had the highest, M + 1 2H1 enrichments. Desaturase products, like palmitoleate (16:1) and oleate (18:1) had roughly half the M + 1 2H1 enrichments compared to their saturated counterparts (Supplementary Fig. 4). Although we focus primarily on palmitate as the principal analyte of DNL, other FA species can be detected and may provide insight into downstream processes like elongation and desaturation, which also contribute to the triglyceride pool.

### DNL in response to feeding and genetic activation in mice

To test whether the method detects DNL flux altered by nutritional or genetic interventions, we examined the effect of overnight feeding and genetic activation of DNL in mice. Overnight DNL, regardless of dose, was increased ~2-fold compared to daytime DNL (Fig. 4a), consistent with the expected effect of nocturnal feeding in mice. To induce a more dramatic phenotype, we measured DNL in mice overexpressing a constitutively active form of SREBP-1a18. To further confirm the accuracy of the method, liver samples were obtained from mice 1-h after either 3H2O or 2H2O administration (Supplementary Fig. 5a), and lipids were analyzed by scintillation counter or HR-Orbitrap-GC–MS. SREBP-1a transgenic mice had 2.5-fold more 2H incorporation into palmitate (Supplementary Fig. 5b), 2.4-fold elevated TG-palmitate content (Supplementary Fig. 5c) and an overall 6-fold increase in total DNL flux compared to control mice (Fig. 4b). It is important to note that the total content of 2H labeled TG-palmitate measured in this manner is analogous to the 3H lipid content measured by scintillation counter and is dependent on both the accuracy of the 2H detection and the TG extraction efficiency. Although the extraction approach used here was based on other well-validated methods, there were minor modifications to the solvent ratio and extraction duration which were not systematically evaluated for yield. Nevertheless, DNL measured by HR-Orbitrap-GC–MS closely matched the parallel experiment performed using 3H2O (Fig. 4b). Thus, DNL flux measurements by HR-Orbitrap-GC–MS can be performed using very low doses of 2H2O, short experimental times, detects serial changes across nutritional intervals, and provides similar results as ultra-sensitive 3H radio-detection.

### Rapid determination of DNL in humans

Finally, we tested whether the method detects DNL flux during a short-term and low dose 2H2O experiment in humans. Subjects (Supplementary Table 2) consumed an oral dose of 2H2O at ~1 g/kg body weight after a self-monitored overnight fast. This dose (roughly equal to 75 mL) is 1.5 to 9-fold lower than doses used in other human studies6,25 and produced a body water enrichment of ~0.2% (Fig. 4c). The lower dose improves logistics by eliminating divided doses and reduces the occurrence of side effects like nystagmus and nausea21. Remarkably, DNL flux was detected in overnight fasted humans 1-h after 2H2O administration (Fig. 4d). Measuring this flux required detecting 0.03-0.07% mole excess 2H palmitate enrichment, which is ~3-fold lower than the detection limit of unit resolution GC–MS25. Previous human studies required more than 12-h of 2H2O exposure and were typically performed after palmitate enrichment reached its zenith6,25,30.

To test the responsiveness of DNL, subjects were provided a liquid mixed meal (32 g carbohydrate, 9 g protein, 6 g fat) at the 2-h time-point. This intervention caused a transient decline in fractional DNL, likely due to absorption and esterification of meal fat, and was followed by resumption of palmitate 2H labeling 2-h after the meal (Fig. 4d). The lower 2H2O doses and much shorter protocols allowed by HR-Orbitrap-GC–MS will greatly expand clinical applications of DNL flux measurements.

## Discussion

In this study we introduce a HR-Orbitrap-GC–MS approach, which resolves 2H mass enrichment from other isotopes, to study lipogenesis. Direct detection of 2H mass isotopomers in palmitate prevents convolution with 13C natural abundance at low enrichments. Thus, near-natural abundance 2H can be detected, which is not possible using unit resolution MS. DNL could be detected in 1-h and with lower doses of 2H2O than previously feasible. The dose can likely be lowered another 3-fold, if longer experimental durations are used. Thus, lipogenesis can be evaluated during a short clinical examination, providing the opportunity for large-scale translational studies, or using ultra low doses in vulnerable patient populations. The capacity to collect detailed kinetic data will provide insights into pool sizes and turnover that are lost in a single fractional DNL measurement6, particularly if taken outside of steady-state30. It is also significant that high-resolution detection allows simultaneous 13C and 2H tracer experiments without mass interference. We note that new fatty acid incorporation into specific high molecular weight subclasses of lipid esters (i.e. phospholipids and triglycerides, etc.) can be detected by HR-LC-MS or direct infusion analyses with HR accurate MS31,32,33. Recently DNL was determined from the 2H enrichment of fatty acyl fragments in the MS/MS spectra of some of these lipid esters, providing insight into the synthesis of specific bioactive lipids33. However, the general application of HR-LC-MS to DNL is complicated compared to HR-GC–MS analysis due to the many combinations of fatty acid species and lipid backbones that are detected32. While less applicable to large complex lipids, the HR-Orbitrap-GC–MS is simple and generalizable to all FAs, sterols or other metabolites that form fragments below ~300 Da. The ability to measure 2H incorporation at very low enrichment without 13C interference will allow 2H tracer approaches to be used in metabolic studies that were previously impractical.

## Methods

### Animals for kinetic experiments

Animal protocols complied with and were approved by the Institutional Animal Care and Use Committee at the UT Southwestern Medical Center (APN: 2018-102548). The optimal 2H2O dose and timing for palmitate 2H measurements in plasma TG were determined in C57BL/6 J mice purchased from the UT Southwestern Mouse Breeding Core. Mice were maintained on a 12-h/12-h dark/light cycle, in a room with an average temperature of 22 degrees Celsius, 50-70% humidity and unrestricted access to food and water unless otherwise noted. Male mice, 16-18 weeks of age, were fasted 16 h prior to being refed by providing ad libitum access to standard chow (Teklad Diet 2016; Harlan Laboratories). After 2 h of refeeding, mice received IP injections of either 20, 5, 2.5, or 1 μL/g body weight of 2H2O (n = 5 per group). Animals were provided access to 2H2O labeled drinking water (3, 0.75, 0.375, or 0.15%) corresponding to the expected body-water enrichment estimated from previous studies20. Blood was collected from the tail vein at 0, 30, 60, 120, 150, 180, and 240 min after tracer administration. At 24-h post injection, mice were anesthetized with isoflurane, the liver was excised, flash-frozen in liquid nitrogen, and a final blood sample was collected.

### Sample preparation

Plasma samples (5 µL) were treated with 2 mL (1:1, v/v) methanol/dichloromethane (DCM) to precipitate proteins and extract triglycerides, similar to previously reported methods34,35. Samples were vortexed for 1 min and then centrifuged for 5 min at 1635 × g. The DCM layer was transferred to a new tube and dried under N2. Samples were saponified with 1 mL 0.5 M KOH in methanol at 80 °C for 1 hr. Resulting FAs were extracted with 2 mL DCM/water (1:1, v/v) for 1 min, and the solvent was evaporated under N2. Dried lipid extract was resuspended in 50 µL of 1% triethylamine/acetone and reacted with 50 µL of 1% PFBBr/acetone for 30 min at room temperature. To this solution, 1 mL of isooctane was added before MS analysis.

Approximately ~20 mg of the liver was weighed and homogenized with 1 mL methanol/DCM (1:1, v/v) for 1 min in 2.0-mL pre-filled Bead Ruptor Tubes (2.8 mm ceramic beads, Omni International, Kennesaw, GA, USA). The tubes were washed twice with 1 mL methanol/DCM and all solutions were combined. In a new tube, a known amount of [U-13C] palmitate was added to the equivalent of 1 mg of liver extract for concentration assays when applicable. Samples were dried under N2 before saponification, fatty acid extraction, and derivatization were performed as described above for plasma samples.

### Analysis of samples by HR-Orbitrap-GC–MS

The 2H‐enrichment of palmitate (M + 0, M + 1, M + 2, M + 3 mass isotopomers) was determined using a Q Exactive GC-Orbitrap MS (Thermo Scientific). A 1 μL sample was injected onto a HP-5ms capillary column (60 m × 0.32 mm i.d., 0.25 µm film thickness) in split mode. The helium gas flow rate was 1 mL/min for 13 min, followed by 0.4 mL/min for 3 min and then 1 mL/min for the remainder of the run. The GC injector temperature was 250 °C and the transfer line was 290 °C. The column temperature program was 150 °C for 1 min, followed by a 30 °C/min ramp to 250 °C for 12 min, and finally 5 min at 310 °C. Samples were analyzed at 70 eV in ECNI mode with methane gas at 1.5 mL/min. Full scan and t-SIM methods were investigated at different AGC target values (2e4, 2e5, and 3e6) at 240,000 (FWHM, m/z 200) resolution to determine the accuracy and repeatability of palmitate enrichment measurements. In full scan, a scan range of m/z of 250-265 was selected. In t-SIM method, the quadrupole was set to pass ions between m/z 254.2 and 260.2. For both methods, the maximum injection time was 54 ms.

### Enrichment determination

2H-mol fraction excess standards for validation experiments were prepared by mixing weighed samples of unlabeled and 99.9% enriched 2H1-palmitate. Biologically labeled palmitate 2H enrichment was determined from mass isotopomers M + 1 (2H1), M + 2 (2H2) and M + 3 (2H3). A small correction for 2H1 natural abundance was made using the MID of a biological sample (collected before 2H2O administration) and a matrix correction algorithm24. Palmitate 2H enrichment = 2H1 + (2H2 x 2) + (2H3 x 3). Higher mass isotopomers may also contribute to body water enrichments above 5% (Fig. 3d). Each sample was measured in triplicate and the average was used for the value of the sample.

Palmitate concentrations were calculated from the ratio of peak areas corresponding to palmitate (m/z 255) and to [U-13C] palmitate internal standard (m/z 271 and 270); standard curves containing known concentration ratios of unlabeled and internal standards were run with the samples.

### Methyl palmitate analysis by GC–MS

Methyl palmitate was prepared as previously described36 for direct comparison to the palmitate pentafluorobenzyl ester derivative (Supplementary Fig. 1) used for the analysis described above, using the same instrument. Briefly, palmitate was derivatized to the methyl ester in H2SO4/methanol at 100 °C for 2 hr. The derivatives were then extracted with a hexane-water mixture. The GC oven temperature was programmed to ramp from 100 °C (isothermal for 1 min) to 250 °C at a rate of 20 °C/min, then to 275 °C at a rate of 10 °C/min. The final temperature was held for 3 min. Helium was used as the carrier gas at a flow rate of 1 mL/min. GC–MS analysis, with 70 eV EI, was carried out in full-scan acquisition mode over a m/z range of 100–300 at 15,000 mass resolution.

### Simulations

High resolution data was simulated as a binomial distribution of 2H species dependent on body water enrichment, the number of exchangeable hydrogens and the theoretical natural abundance of 13C and 2H as a function of %DNL. A spreadsheet with the calculations shown in Fig. 1b, c is provided as Source Data.

### Body water enrichment measurement

Plasma and acetone were incubated under alkaline conditions as previously reported28,29. Briefly, 5 μL of plasma, 2 μL of 10 M sodium hydroxide, and 5 μL of acetone were added to a GC vial with a PTFE/silicone threaded cap. Samples were incubated overnight at room temperature prior to analysis. Calibration standards of known 2H-mol fraction excess were prepared by mixing weighed samples of naturally labeled and of 99.9% 2H2O.

Negative chemical ionization mode (NCI) was used with t-SIM acquisition (m/z 55.5-60.5) and 60,000 mass resolution (FWHM, m/z 200) on the same Q Exactive GC-Orbitrap MS instrument as described above. 1 μL of headspace acetone gas from the GC vial was injected in split mode. The column temperature program was 2 min at 60 °C, increased by 30 °C/min to 200 °C for 2 min. The transfer line temperature was 250 °C leading into the ion source (250 °C), which was operated with a methane reaction gas at 1.5 mL/min. The Orbitrap AGC target was set to 5e4 with a maximum injection time of 54 ms.

### Data extraction from HRMS MS/MS spectra

Thermo Scientific Xcalibur (version 4.2.47) Data System was used for data collection. Extraction of individual high-resolution m/z values representing each isotopomer ion (palmitate and acetone) was performed using TraceFinder 4.1 (Thermo Scientific) with 4 ppm mass tolerance.

### DNL calculations

The contribution of DNL to the pool of total circulating palmitate was determined as previously described25. Briefly, 2H2O quickly equilibrates with the total body water pool, DNL is measured based on the incorporation of 2H into palmitate following the administration of 2H2O. The contribution of palmitate synthesis was determined using Eq. 1:

$${DNL}=\frac{{palmitate}\,{enrichment}}{({BW}\times n)}\times 100$$
(1)

where DNL is the fraction of palmitate that was newly made since the administration of 2H2O, palmitate enrichment is expressed as described above, BW (body water) is the fraction 2H2O in plasma, and “n” represents the number of exchangeable hydrogens. The value for n was measured to be 22 using 2H1 and 2H2 enrichments and Eq. 2 in 24-h plasma samples as previously reported19.

$$\frac{{\rm{m}}2}{{\rm{m}}1}=\frac{\left(n-1\right)}{2}\times \frac{{BW}}{1-{BW}}$$
(2)

DNL/hr is determined by dividing by the time since the administration of 2H2O. Absolute palmitate synthesis rates in the liver were determined by multiplying DNL by tissue TG-palmitate concentration where noted.

### Comparison of 2H2O and 3H2O DNL measurements

Validation of DNL measurements by 2H2O and 3H2O was performed using mice that express a transgenic, constitutively active form of SREBP-1a (n = 3) and littermate controls (n = 3), generated as previously described18. 11- to 12-week-old mice were maintained ad libitum on Teklad 2018 chow diet. Food was removed 3-h before mice were injected intraperitoneally with 500 µL of either 50 mCi of 3H2O or 99.9% of 2H2O. After 1-h, mice were anesthetized for plasma and tissue collection. Hepatic DNL measurements by 2H2O were performed as described above. To compare these results to DNL measured using the 3H2O method18, fractional DNL was multiplied by the total amount of liver TG content.

### Human DNL measurements

Human subjects (n = 4, Supplementary Table 2) were studied after approval by the UT Southwestern Institutional Review Board. All participants were provided written informed consent before participation. Healthy volunteers were studied after a self-managed overnight fast. A baseline blood sample was drawn prior to 2H2O administration. Subjects consumed a single oral dose of 70% 2H2O at 2 g/kg body-water (where body-water was estimated to be 0.6 x body weight in men and 0.5 x body-weight in women), or roughly ~1 g/Kg body weight. Blood samples were collected at 0.5, 1, 1.5, and 2-h. Following the 2-h collection, subjects consumed a liquid meal consisting of 8 ounces of Ensure®, which contains 220 Kcal, 6 g fat, 32 g carbohydrates, 15 g sugar and 9 g protein (Abbot Labs, Columbus OH). Blood collections continued at 2.5, 3, 3.5, and 4-h.

### Statistics, reproducibility, and study design

Results are expressed as means ± standard errors of the mean (SEM). Sample sizes were chosen based on previous experience but without power analysis. All MS data were collected in duplicate or triplicate. Analysis was performed without blinding. Replication of analytical performance is expressed in Supplemental Table 1 as accuracy and precision and was also observed by proportional responses to multiple doses of 2H2O in mice. Significant differences (p < 0.05) were determined using a two-tailed t-test. Significant correlations were determined using a two-tailed Pearson correlation. All statistics and graph preparation were performed in Prism 8 (Graph Pad Software Inc.).

### Reporting Summary

Further information on research design is available in the Nature Research Reporting Summary linked to this article.

## Data availability

The source data underlying each figure and table are provided as a Source Data file. Flux data has been uploaded to Kimosys.org access Data EntryID 129 (mouse) and 130 (human). Source data are provided with this paper.

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## Acknowledgements

The authors are grateful for support from NIH R01DK078184 (SCB), R01DK128168 (SCB), P41EB015908 (SCB, SD), the Robert A. Welch Foundation I-1804 (SCB) and the UT Southwestern Center for Human Nutrition.

## Author information

Authors

### Contributions

X.F. and S.C.B. wrote the manuscript. X.F., S.D., J.A.F., and S.C.B. designed and performed all data analyses. N.N.A. and M.A.M. contributed the sample preparation. G.V., J.D.B., J.D.H., J.G.M., and M.A.M reviewed and edited the manuscript. S.C.B and J.D.H. supervised the study.

### Corresponding author

Correspondence to Shawn C. Burgess.

## Ethics declarations

### Competing interests

The authors declare no competing interests.

Peer review information Nature Communications thanks Catherine Postic, and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.

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Fu, X., Deja, S., Fletcher, J.A. et al. Measurement of lipogenic flux by deuterium resolved mass spectrometry. Nat Commun 12, 3756 (2021). https://doi.org/10.1038/s41467-021-23958-4

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