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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fphy.2017.00021</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title><sup>13</sup>C MRS Studies of the Control of Hepatic Glycogen Metabolism at High Magnetic Fields</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Miller</surname> <given-names>Corin O.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/400893/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Cao</surname> <given-names>Jin</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Zhu</surname> <given-names>He</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/292766/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Chen</surname> <given-names>Li M.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/266895/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Wilson</surname> <given-names>George</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Kennan</surname> <given-names>Richard</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/426101/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Gore</surname> <given-names>John C.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/17761/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Translational Imaging Biomarkers, Merck &#x00026; Co., Inc.</institution> <country>Kenilworth, NJ, United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>Institute of Imaging Science, Vanderbilt University</institution> <country>Nashville, TN, United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Antonio F. Miguel, University of &#x000C9;vora, Portugal</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Michael Roden, Heinrich Heine Universit&#x000E4;t D&#x000FC;sseldorf, Germany; Martin Krssak, Medical University of Vienna, Austria</p></fn>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: Corin O. Miller <email>corin_miller&#x00040;merck.com</email></p></fn>
<fn fn-type="other" id="fn002"><p>This article was submitted to Interdisciplinary Physics, a section of the journal Frontiers in Physics</p></fn></author-notes>
<pub-date pub-type="epub">
<day>14</day>
<month>06</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>5</volume>
<elocation-id>21</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>03</month>
<year>2017</year>
</date>
<date date-type="accepted">
<day>29</day>
<month>05</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2017 Miller, Cao, Zhu, Chen, Wilson, Kennan and Gore.</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>Miller, Cao, Zhu, Chen, Wilson, Kennan and Gore</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract><p><bold>Introduction:</bold> Glycogen is the primary intracellular storage form of carbohydrates. In contrast to most tissues where stored glycogen can only supply the local tissue with energy, hepatic glycogen is mobilized and released into the blood to maintain appropriate circulating glucose levels, and is delivered to other tissues as glucose in response to energetic demands. Insulin and glucagon, two current targets of high interest in the pharmaceutical industry, are well-known glucose-regulating hormones whose primary effect in liver is to modulate glycogen synthesis and breakdown. The purpose of these studies was to develop methods to measure glycogen metabolism in real time non-invasively both in isolated mouse livers, and in non-human primates (NHPs) using <sup>13</sup>C MRS.</p>
<p><bold>Methods:</bold> Livers were harvested from C57/Bl6 mice and perfused with [1-<sup>13</sup>C] Glucose. To demonstrate the ability to measure acute changes in glycogen metabolism <italic>ex-vivo</italic>, fructose, glucagon, and insulin were administered to the liver <italic>ex-vivo</italic>. The C1 resonance of glycogen was measured in real time with <sup>13</sup>C MRS using an 11.7T (500 MHz) NMR spectrometer. To demonstrate the translatability of this approach, NHPs (male rhesus monkeys) were studied in a 7 T Philips MRI using a partial volume <sup>1</sup>H/<sup>13</sup>C imaging coil. NPHs were subjected to a variable IV infusion of [1-<sup>13</sup>C] glucose (to maintain blood glucose at 3-4x basal), along with a constant 1 mg/kg/min infusion of fructose. The C1 resonance of glycogen was again measured in real time with <sup>13</sup>C MRS. To demonstrate the ability to measure changes in glycogen metabolism <italic>in vivo</italic>, animals received a glucagon infusion (1 &#x003BC;g/kg bolus followed by 40 ng/kg/min constant infusion) half way through the study on the second study session.</p>
<p><bold>Results:</bold> In both perfused mouse livers and in NHPs, hepatic <sup>13</sup>C-glycogen synthesis (i.e., monotonic increases in the <sup>13</sup>C-glycogen NMR signal) was readily detected. In both paradigms, addition of glucagon resulted in cessation of glycogen synthesis and induction of glycogen breakdown. In the perfused liver, inclusion of insulin was able to dose-dependently block the effect of glucagon.</p>
<p><bold>Conclusion:</bold> Hepatic glycogen synthesis, as well as acute hormonally-induced changes thereof, can be measured using <sup>13</sup>C MRS at high magnetic fields both <italic>ex-vivo</italic> and <italic>in vivo</italic>. Measurements of this process represent novel, translatable biomarkers of glucagon action, and additionally may be useful for pharmacological targets which modulate glycogen metabolism.</p></abstract>
<kwd-group>
<kwd>glycogen</kwd>
<kwd><sup>13</sup>C MRS</kwd>
<kwd>liver</kwd>
<kwd>glucagon</kwd>
<kwd>insulin</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="0"/>
<equation-count count="0"/>
<ref-count count="35"/>
<page-count count="10"/>
<word-count count="6340"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Glycogen, the branched polymeric form of glucose (Figure <xref ref-type="fig" rid="F1">1</xref>), is the primary intracellular storage form of carbohydrates. While in most organs (e.g., muscle, brain) glycogen stores can only supply fuel to local tissue, hepatic glycogen serves as the primary short term energy reserve for the entire body as it can be broken down and released into the blood as glucose. This process occurs in a precisely regulated fashion to maintain appropriate circulating glucose levels, and to supply other tissues with glucose in response to energetic demands.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>The molecular structure of glycogen showing <bold>(A)</bold> the 1,4 linkages which polymerize the glucose moieties and the 1,6 linkages which confer the branch points and <bold>(B)</bold> the arrangement of the polymerized glucose into tiers. (Adapted from Roach et al. [<xref ref-type="bibr" rid="B1">1</xref>]).</p></caption>
<graphic xlink:href="fphy-05-00021-g0001.tif"/>
</fig>
<p>The metabolism of hepatic glycogen is controlled by several physiological factors and has been reviewed extensively elsewhere [<xref ref-type="bibr" rid="B2">2</xref>]. As glucose is the primary substrate for hepatic glycogen synthesis, the circulating glucose concentration is a key determinant of hepatic glycogen synthesis/breakdown. Indeed, the activities of the hepatic glucose transporter (GLUT2) and the hepatic glucose-phosphorylating enzyme (glucokinase) are highly glucose dependent, with little glucose uptake and metabolism below concentrations of 5 mM, and maximal uptake and metabolism above 15 mM [<xref ref-type="bibr" rid="B3">3</xref>, <xref ref-type="bibr" rid="B4">4</xref>]. The route of glucose delivery to the liver also plays a key role in glycogen metabolism. A positive differential in glucose concentration between the portal vein and hepatic artery, as results from feeding, increases hepatic glycogen synthesis. This so-called &#x0201C;portal signal&#x0201D; [<xref ref-type="bibr" rid="B5">5</xref>] has been observed in several species [<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B7">7</xref>] and has been shown to be likely neurally mediated [<xref ref-type="bibr" rid="B8">8</xref>]. Lastly, hepatic glycogen synthesis is under tight hormonal control. The hormones insulin and glucagon are the primary regulators of hepatic glycogen metabolism. They regulate glucose delivery to the circulation by converting glucose to and from glycogen, respectively. However, other hormones such as cortisol and epinephrine have been shown to also play a role under certain conditions [<xref ref-type="bibr" rid="B9">9</xref>].</p>
<p>As glycogen is completely confined to the intracellular space, robust, and reliable measurements of liver glycogen content have been a challenge. A tissue biopsy followed by biochemical assay of glycogen is the oldest measurement method [<xref ref-type="bibr" rid="B10">10</xref>]. The clinical utility of this approach, however, is limited by its invasive nature along with the potential confounding factor of regional variation within the liver [<xref ref-type="bibr" rid="B11">11</xref>]. The initial work demonstrating the feasibility of non-invasive detection of hepatic glycogen with <sup>13</sup>C MRS was published in humans &#x0007E;30 years ago [<xref ref-type="bibr" rid="B12">12</xref>]. Subsequent studies demonstrated 100% NMR visibility of glycogen [<xref ref-type="bibr" rid="B13">13</xref>], which was somewhat surprising given glycogen&#x00027;s macromolecular structure and many associated proteins. Additional work demonstrated the ability to detect changes in hepatic and muscle glycogen levels in real time (i.e., glycogen metabolism) [<xref ref-type="bibr" rid="B14">14</xref>]. These imaging and spectroscopic methods paved the way for key <italic>in vivo</italic> studies of glycogen metabolism which produced valuable insight into both the hormonal control of glycogen metabolism, and the role that defects in this process play in the pathophysiology of diabetes mellitus (see 15, for review).</p>
<p>Early application of <sup>13</sup>C MRS <italic>in vivo</italic> helped delineate the mechanisms by which glucose and insulin control hepatic glycogen breakdown [<xref ref-type="bibr" rid="B16">16</xref>], and also revealed the tight regulation of hepatic glycogen metabolism by insulin and glucagon [<xref ref-type="bibr" rid="B17">17</xref>]. Further application of <sup>13</sup>C MRS to diabetic humans revealed insight into the defects of glycogen metabolism associated with types I and II diabetes. Measurement of muscle glycogen synthesis under conditions which simulated that following a meal showed that this pathway was a major route of glucose disposal, and was defective in type II diabetic patients [<xref ref-type="bibr" rid="B18">18</xref>]. This observation was recapitulated in a more acute paradigm where an increase in plasma free fatty acid levels from a lipid infusion similarly reduced muscle glycogen synthesis in healthy subjects [<xref ref-type="bibr" rid="B19">19</xref>], and implicated muscle glucose transport and phosphorylation as the locus of this defect. Similar findings of defective glycogen synthesis in liver following a mixed meal challenge were reported in both type I [<xref ref-type="bibr" rid="B20">20</xref>], and type II diabetics [<xref ref-type="bibr" rid="B21">21</xref>]. Taken together, the results from these initial studies demonstrated that glycogen metabolism is under exquisite control by many factors <italic>in vivo</italic>, and that defects in these controls are present in both type I and II diabetes.</p>
<p>Underscoring the importance of hepatic glycogen metabolism in whole body glucose homeostasis, recent work in the pharmaceutical industry has demonstrated that modulation of processes involved in hepatic glycogen metabolism can elicit therapeutic benefits (i.e., reductions) in the elevated blood glucose levels (hyperglycemia) associated with T2DM. For example, the development of glucagon receptor antagonists [<xref ref-type="bibr" rid="B22">22</xref>], glycogen phosphorylase inhibitors [<xref ref-type="bibr" rid="B23">23</xref>], and hepato-selective glucokinase activators [<xref ref-type="bibr" rid="B24">24</xref>] have all achieved proof of concept (POC) for reduction of hyperglycemia either in the clinic, or in preclinical models of T2DM. For all these pharmacological targets, hepatic glycogen represents a proximal, functional biomarker of target engagement. Thus, techniques allowing for the measurement of hepatic glycogen <italic>in vivo</italic> would be valuable in the development of these therapies, as they would likely yield superior measures of target engagement compared to the standard practice of measuring circulating glucose alone.</p>
<p>The aim of these studies, therefore, was to develop measurements of hepatic glycogen metabolism at UHF, both <italic>ex vivo</italic> (11.7 T) and <italic>in vivo</italic> (7 T). Furthermore, we sought to use varying experimental conditions such as with or without glucagon interference, to allow for the detection of changes in hepatic glycogen metabolism in real time. This work demonstrates POC for the use of these MR based measurements as translatable biomarkers.</p>
</sec>
<sec sec-type="methods" id="s2">
<title>Methods</title>
<sec>
<title>Perfused liver studies</title>
<p>Animals were studied under the purview of Institutional Animal Care and Use Committee (IACUC) of Merck &#x00026; Co., Inc., Kenilworth, NJ USA, and all applicable regulations and laws pertaining to the use of laboratory animals were followed. Initial studies were performed in isolated perfused mouse livers to gain a better understanding of the inherent characteristics of hepatic glycogen synthesis in the absence of external hormonal input. A detailed description of the perfused liver technique can be found elsewhere [<xref ref-type="bibr" rid="B25">25</xref>]. Briefly, lean, C57/Bl6 mice (20&#x02013;30 weeks old) were anesthetized (Pentobarbital IP, 100 mg/kg), the portal vein was cannulated and tied off, and the liver was excised and perfused with a pre-oxygenated Krebs-bicarbonate buffered solution. The liver was then placed into a 20 mm NMR tube and the combined assembly was inserted into a 11.7 T (500 MHz) wide bore NMR spectrometer (Bruker, Billerica, MA) equipped with a 20 mm <sup>1</sup>H/<sup>13</sup>C/<sup>31</sup>P TXO probe (Figure <xref ref-type="fig" rid="F2">2</xref>). <sup>31</sup>P NMR spectra were initially obtained in each study to measure levels of ATP and inorganic phosphate (Pi) as an overall check of liver viability. For selected studies, a <sup>31</sup>P NMR spectrum was also acquired at the end of the study and used to verify the following: (1) &#x0003C;10% change in the intensity of the ATP resonances and (2) a lack of upfield shift of the chemical shift of the Pi resonance (which would indicate a decrease in intracellular pH and poor liver viability).</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Essential components of the perfused liver apparatus.</p></caption>
<graphic xlink:href="fphy-05-00021-g0002.tif"/>
</fig>
<p>To understand the effects of the circulating glucose concentration on hepatic glycogen metabolism, varying concentrations of [1-<sup>13</sup>C] Glucose were presented in the perfusate to the livers for 50&#x02013;60 min for each concentration, using multiple concentrations within a single study (Figure <xref ref-type="fig" rid="F3">3B</xref>, for example). Consecutive <sup>13</sup>C NMR spectra were acquired using the following parameters: 30&#x000B0; pulse, TR &#x0003D; 560 ms, NS &#x0003D; 800 averages, broadband GARP <sup>1</sup>H decoupling, 11 min/spectrum. Spectral processing was performed using zero filling and exponential filtering with 20 Hz line broadening, and the conversion of [1-<sup>13</sup>C] Glucose (96.8 ppm) to [1-<sup>13</sup>C] glycogen (100.6 ppm), and [6-<sup>13</sup>C] glycogen (61.6 ppm) (via the so-called direct and indirect pathways, respectively) was detected in real time via an increase of the glycogen <sup>13</sup>C NMR resonances. The integrals of the <sup>13</sup>C-glycogen and <sup>13</sup>C-glucose NMR signals were then calculated by fitting the resonances to a Lorentzian line shape model using in house developed curve fitting routines in Matlab (The Mathworks Inc., R2016a, Natick, MA). These areas were converted to absolute units (&#x003BC;moles) by comparison to integrals from <sup>13</sup>C NMR spectra of standard solutions acquired under identical conditions. The slope of the <sup>13</sup>C-glycogen signals vs. time was then used to calculate the rate of glycogen synthesis. To demonstrate the ability to detect increases in glycogen synthesis, the above protocol was repeated with 1 mM (unlabeled) fructose in the perfusate. Fructose has been previously shown to increase hepatic glucose uptake and glycogen synthesis via increases in cytosolic glucokinase [<xref ref-type="bibr" rid="B26">26</xref>].</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Sample <sup>13</sup>C NMR spectrum <bold>(A)</bold> of perfused liver after 50 min with 20 mM [1-<sup>13</sup>C] Glucose. Visible signals include [1-<sup>13</sup>C] Glycogen (100.6 ppm), [1-<sup>13</sup>C] Glucose (&#x003B2;-anomer 96.8 ppm, &#x003B1;-anomer 93 ppm), [6-<sup>13</sup>C] Glucose (61.6 ppm) from indirect glycogen synthesis, and [3-<sup>13</sup>C] Lactate (21.1 ppm) from glycolysis. Time course <bold>(B)</bold> of <sup>13</sup>C-glycogen from a single perfused liver study under three different concentrations of [1-<sup>13</sup>C] glucose, 2.5, 10, and 25 mM.</p></caption>
<graphic xlink:href="fphy-05-00021-g0003.tif"/>
</fig>
<p>To demonstrate the ability to detect glycogen breakdown as well as the acute, direct effects of hormones thereof, the above protocol was modified as follows: For 60 min the liver was presented with 20 mM [1-<sup>13</sup>C] glucose, then this was switched to either 5 mM [1-<sup>13</sup>C] glucose alone, 5 mM [1-<sup>13</sup>C] glucose plus 10 pM glucagon, or 5 mM [1-<sup>13</sup>C] glucose plus 10 pM glucagon plus varying concentrations of insulin for another 60 min. Sample data from individual studies for each of these cases is shown in <bold>Figure 5A</bold>. Rates of glycogen breakdown were calculated as the average (negative) slope of the time course of <sup>13</sup>C-glycogen following glucagon administration. This approach assumes a &#x0201C;last in, first out&#x0201D; model of glycogen synthesis and degradation and has been previously confirmed in the perfused liver system (unpublished observations) by showing that independent measurements of total perfusate glucose following complete glucagon-induced <sup>13</sup>C-glycogen breakdown, and liver <sup>13</sup>C-glycogen just prior to glucagon administration yield the similar values (i.e., for the time scale in <bold>Figure 5A</bold>, only the <sup>13</sup>C-glycogen is degraded, not endogenous glycogen).</p>
</sec>
<sec>
<title>NHP studies</title>
<p>All procedures were approved by the Institutional Animal Care and Use Committee of Vanderbilt University. To demonstrate the potential for translation of this approach into larger species, two NHPs (male rhesus macaques, 14&#x02013;17 kg) were studied in a 7 T whole body MRI scanner (Philips Healthcare, Best, the Netherlands) using a dual-tuned partial volume <sup>1</sup>H/<sup>13</sup>C imaging coil (25 cm W &#x000D7; 18 cm L &#x000D7; 11 cm D). Subjects were initially sedated with a ketamine/atropine mixture, and then anesthetized with 1&#x02013;1.5% isoflurane delivered with pure oxygen. Before the imaging session, the subjects were intubated, and three IV lines were placed in superficial leg veins for fluid support and infusate administration and sampling. The subjects were then transported to the MRI, and placed on a ventilator with 1&#x02013;2% isoflurane anesthesia over oxygen. Coil placement to image the liver was accomplished using a sagittal fast gradient echo multi-slice sequence (256 &#x000D7; 256, 20 slices, flip angle &#x0003D; 30&#x000B0;, TE/TR &#x0003D; 5/175 ms, scan time &#x0003D; 45 s). Each subject was studied during two separate sessions and coil position was marked on each subject. In the first session, an IV infusion of [1-<sup>13</sup>C] glucose (20 mg/kg/min for 10 min, followed by a variable infusion to maintain blood glucose at 3-4x basal), along with a constant infusion of fructose (1 mg/kg/min) was performed for 150 min (See Section Discussion for the rationale behind this choice of conditions). In the second session, the same protocol was used, but with the addition of a glucagon infusion (1 &#x003BC;g/kg bolus followed by 40 ng/kg/min constant infusion) starting &#x0007E;90 min into the study. Increases in the C<sub>1</sub> resonance of glycogen (100.6 ppm) were measured in real time with a pulse-acquire <sup>13</sup>C sequence (70&#x000B0; flip angle, TR &#x0003D; 0.5 s, narrow band <sup>1</sup>H decoupling, NSA &#x0003D; 1,024, 10 min total). Absolute quantification of [1-<sup>13</sup>C] glycogen was accomplished using a 250 ml reference solution of 250 mM glycogen dissolved in phosphate-buffered saline (pH &#x0003D; 7.4). This solution was placed in the imaging coil at the approximate position of the liver and NMR spectra were acquired using identical parameters to that used <italic>in vivo</italic>. Additional saline bags were placed around the glycogen phantom to mimic coil loading <italic>in vivo</italic>.</p>
<p>Blood glucose was measured in real time every 15&#x02013;20 min for adjustment of the [1-<sup>13</sup>C] glucose infusion with an iStat blood chemistry analyzer. Circulating glucagon was measured at the same time points via radioimmunoassay kit (Millipore GL-32K).</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec>
<title>Perfused liver studies</title>
<sec>
<title>Kinetics of glycogen synthesis</title>
<p>A sample <sup>13</sup>C NMR spectrum, as well as the time course of the [1-<sup>13</sup>C] glycogen signal from a typical study, is shown in Figures <xref ref-type="fig" rid="F3">3A,B</xref>, respectively. Despite the close proximity of the signals from the &#x003B1; and &#x003B2; anomers of [1-<sup>13</sup>C] glucose (93 and 96.8 ppm, respectively) to the signal from [1-<sup>13</sup>C] glycogen (100.6 ppm), the high magnetic field used in this study allowed for very good resolution of the peaks (Figure <xref ref-type="fig" rid="F3">3A</xref>). Figure <xref ref-type="fig" rid="F3">3B</xref> clearly demonstrates the glucose-dependent nature of hepatic glycogen synthesis. For this particular study, the slope of the <sup>13</sup>C-glycogen vs. time curve (i.e., the glycogen synthesis rate) is negligible at 2.5 mM [1-<sup>13</sup>C] Glucose, 0.36 &#x003BC;mol/g/min at 10 mM and 0.95 &#x003BC;mol/g/min at 25 mM. This approach is an efficient way to study hepatic glycogen synthesis since multiple concentrations of glucose can be investigated in a single study.</p>
<p>The titration of the hepatic glycogen synthesis rate vs. the concentration of [1-<sup>13</sup>C] Glucose with (red) and without (blue) 1 mM fructose is shown in Figure <xref ref-type="fig" rid="F4">4</xref>. A sigmoidal fit of this data results in EC<sub>50</sub> values of 6.9 and 10.9 mM glucose with and without fructose, respectively, and V<sub>max</sub> (i.e., maximal glycogen synthesis rate) values of 1.05 and 0.94 &#x003BC;mol/g/min, respectively. This demonstrates that the inclusion of fructose in the perfusate increases hepatic glycogen synthesis in the physiological range of glucose concentrations (5&#x02013;15 mM), resulting in a left shift of the titration (i.e., reduced EC<sub>50</sub>). Fructose, however, did not appear to significantly affect V<sub>max</sub>, the maximal glycogen synthesis rate.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>The glucose dependence of glycogen synthesis in perfused liver with and without 1 mM fructose in the perfusate.</p></caption>
<graphic xlink:href="fphy-05-00021-g0004.tif"/>
</fig>
</sec>
</sec>
<sec>
<title>Acute effectors of glycogen synthesis</title>
<p>The ability to acutely modulate and detect changes in hepatic glycogen metabolism with the hormones glucagon and insulin is demonstrated in Figure <xref ref-type="fig" rid="F5">5A</xref>. When the perfusate concentration of [1-<sup>13</sup>C] glucose is changed from 20 to 5 mM at <italic>T</italic> &#x0003D; 0 (green), the hepatic glycogen synthesis rate (i.e., slope) decreases as expected from Figure <xref ref-type="fig" rid="F4">4</xref>. When 10 pM glucagon is added to the perfusate in addition to changing to 5 mM [1-<sup>13</sup>C] glucose (black), glycogen synthesis stops and shifts to glycogen breakdown. When 0.3 nM insulin is added to the perfusate in addition to the 10 pM glucagon (red), much of this glycogen breakdown is reversed. A plot of the titration of glycogen breakdown rate vs. insulin concentration (using 10 pM glucagon is all cases to stimulate glycogen breakdown) is shown in Figure <xref ref-type="fig" rid="F5">5B</xref>. This data demonstrates that insulin has an approximate EC<sub>50</sub> of 0.3 nM and a steep dose titration with its entire effect being manifest over the 0.1&#x02013;1 nM range. The overall pharmacology shown in Figure <xref ref-type="fig" rid="F5">5</xref> is consistent with what is known about the control of hepatic glycogen metabolism by insulin and glucagon <italic>in vivo</italic>. Note that adding insulin alone during the 5 mM <sup>13</sup>C-glucose period (green) has minimal effect on <sup>13</sup>C-glycogen synthesis as insulin only increases hepatic glycogen synthesis in the presence of hyperglycemia and/or a portal signal.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>Time courses <bold>(A)</bold> of <sup>13</sup>C-glycogen from three sample individual studies showing the effect of changing glucose concentrations (green), the addition of 10 pM glucagon (black), and the addition of 10 pM glucagon plus 0.3 nM insulin (red). The titration <bold>(B)</bold> of insulin&#x00027;s effect on glucagon stimulated glycogen breakdown using the experimental paradigm depicted in <bold>(A)</bold>.</p></caption>
<graphic xlink:href="fphy-05-00021-g0005.tif"/>
</fig>
</sec>
<sec>
<title>NHP studies of glycogen synthesis <italic>in vivo</italic></title>
<p>A stacked plot of spectra from a sample NHP study is shown in Figure <xref ref-type="fig" rid="F6">6A</xref>. Here, the <sup>13</sup>C-glycogen signal is undetectable at <italic>T</italic> &#x0003D; 0 (i.e., before the infusion of [1-<sup>13</sup>C] glucose) and increases over the next 2&#x02013;3 h. Despite the incomplete <sup>1</sup>H decoupling, the glycogen-C1 resonance maintained the same apparent triplet shape throughout the study and was sufficiently resolved from the coupled glucose-C1 &#x003B2; and &#x003B1; signals, which increased rapidly following the initial bolus of [1-<sup>13</sup>C] glucose, and then remained constant for the rest of the study. The integral of the [1-<sup>13</sup>C] glycogen signal increases linearly with time as shown for subject &#x00023;1 in Figure <xref ref-type="fig" rid="F6">6B</xref>. The slope of this line for Study 1, and for the time before glucagon addition in Study 2, represents the average hepatic <sup>13</sup>C-glycogen synthesis rate for each study. These values were &#x0007E;2 mg/kg/min for each study. The acute effect of glucagon added for the final 60 min of the study for each subject is shown in Figure <xref ref-type="fig" rid="F7">7</xref>, along with average circulating levels of glucose and glucagon before and after the glucagon infusion. In both cases, glucagon markedly reduced hepatic glycogen synthesis. In subject &#x00023;2, glycogen breakdown was observed, likely caused by the higher observed circulating glucagon levels than in subject &#x00023;1. Accordingly, circulating glucose levels in Subject &#x00023;2 were higher than in subject &#x00023;1 during the glucagon infusion portion of the study. While it was not possible to perform a quantitative comparison of spectra between our data and earlier studies [<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B14">14</xref>], a visual comparison shows a significant gain in SNR with our data at 7 T vs. the original data at 2.1 T.</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>Stacked plot <bold>(A)</bold> of <sup>13</sup>C NMR spectra from a sample single NHP study. Note the absence of <sup>13</sup>C-glycogen signal at <italic>T</italic> &#x0003D; 0 min and the increase over the next 2&#x02013;3 h. Time course <bold>(B)</bold> of the integral of the <sup>13</sup>C-glycogen signal for this single study showing a linear increase in time.</p></caption>
<graphic xlink:href="fphy-05-00021-g0006.tif"/>
</fig>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Time courses of <sup>13</sup>C-glycogen and corresponding average values of circulating glucose and glucagon for individual studies performed with and without glucagon infusions for subject &#x00023;1 <bold>(A)</bold> and subject &#x00023;2 <bold>(B)</bold>. In both subjects, the glucagon infusion resulted in marked increases in circulating glucagon levels, and accordingly, suppression of hepatic glycogen synthesis.</p></caption>
<graphic xlink:href="fphy-05-00021-g0007.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>To develop an <italic>ex vivo</italic> system allowing for the investigation of hepatic glycogen metabolism, we used a perfused liver approach combined with <sup>13</sup>C MRS at 11.7 T. The high SNR and spectral dispersion associated with the UHF used in these studies allowed for accurate resolution of the [1-<sup>13</sup>C] glycogen resonance from the [1-<sup>13</sup>C] glucose resonances, and also detection of the [6-<sup>13</sup>C] glycogen and [3-<sup>13</sup>C] lactate resonances (Figure <xref ref-type="fig" rid="F3">3</xref>). The time resolution of &#x0007E;10 min/spectrum used here could easily be improved to capture more complex kinetics in other experimental paradigms. Additionally, while not totally visible in Figure <xref ref-type="fig" rid="F3">3</xref> due to the truncated Y-axis scale, the high SNR of the [1-<sup>13</sup>C] glucose signal allowed for measurement of net hepatic glucose uptake via the decrease in this signal. This is noteworthy since the expected maximal change of this signal over each of the 11 min acquisitions is only &#x0007E;1% (15 mM of glucose in a perfusate volume of 70 ml &#x0003D; 1,050 umol, and a maximal rate of glucose uptake of 1 umol/g/min for a 1 g liver for 10 min &#x0003D; 10 umol, or &#x0007E;1%). Indeed, comparison of the net decrease in the [1-<sup>13</sup>C] glucose signal with the sum of the signals from [1-<sup>13</sup>C] glycogen, [6-<sup>13</sup>C] glycogen, and [3-<sup>13</sup>C] lactate (i.e., all the detectable disposal products of [1-<sup>13</sup>C] glucose) in each perfused liver experiment generally yielded consistent results (data not shown).</p>
<p>The perfused liver platform captured the essential features of glycogen metabolism and its hormonal controls. The perfused liver was able to capture the inherent glucose-responsive nature of hepatic glycogen synthesis as demonstrated by the sigmoidal titration of glycogen synthesis vs. perfusate [1-<sup>13</sup>C] glucose concentration. Maximal observed rates of hepatic glycogen synthesis (Figure <xref ref-type="fig" rid="F4">4</xref>, V<sub>max</sub>) were &#x0007E;1 &#x003BC;mol/g/min which is consistent with published rates from <italic>in vivo</italic> studies [<xref ref-type="bibr" rid="B5">5</xref>], assuming a typical liver to body weight ratio of 2&#x02013;3%. The V<sub>max</sub> and EC<sub>50</sub> of this relationship are consistent with the kinetic properties of the glucose transport (GLUT2) and phosphorylating enzyme (glucokinase) in the liver [<xref ref-type="bibr" rid="B3">3</xref>, <xref ref-type="bibr" rid="B4">4</xref>].</p>
<p>The effects of compounds known to increase and decrease hepatic glycogen synthesis were also recapitulated in the perfused liver system. Inclusion of fructose (1 mM) in the perfusate increased glycogen synthesis while inclusion of glucagon (10 pM) suppressed glycogen synthesis and stimulated glycogen breakdown. Both of these effects occurred at perfusate concentrations consistent with values shown to be effective <italic>in vivo</italic>. Additionally, the direct effect of insulin in the perfused liver was captured in this system. Perfusate insulin concentrations of 100 pM and above were able to block the effects of glucagon to stimulate glycogen breakdown, and consistent with <italic>in vivo</italic> data [<xref ref-type="bibr" rid="B5">5</xref>], the titration of insulin effect on the liver was very steep, transitioning from no effect to maximal effect over only one order of magnitude concentration range (Figures <xref ref-type="fig" rid="F5">5A,B</xref>). These observations relating to the behavior of insulin are noteworthy as in many <italic>in vitro</italic> systems, the effect of insulin on hepatocytes or other liver-derived cell lines is observed only at supra-physiological concentrations [<xref ref-type="bibr" rid="B27">27</xref>, <xref ref-type="bibr" rid="B28">28</xref>], or sometimes not at all [<xref ref-type="bibr" rid="B29">29</xref>]. In summary, we were able to use <sup>13</sup>C MRS at UHF to develop a perfused liver model capable of measuring hepatic glycogen synthesis in real time and observing modulation of glycogen synthesis due to known effectors at physiological plausible concentrations. The results acquired from this model mirrored those of <italic>in vivo</italic> studies but with a more economical experimental setup to facilitate drug development.</p>
<p>To demonstrate the ability to measure <italic>in vivo</italic> hepatic glycogen metabolism in higher species, and the effects of modulators thereof, we used <sup>13</sup>C MRS in NHPs combined with infusions of [1-<sup>13</sup>C] glucose and glucagon at 7 T. As with the perfused liver studies, UHF resulted in excellent SNR and resolution of the [1-<sup>13</sup>C] glycogen signal, despite the inability to achieve complete <sup>1</sup>H decoupling (Figure <xref ref-type="fig" rid="F6">6A</xref>). Nonetheless, we are confident that the partially decoupled <sup>13</sup>C-glycogen signal accurately reflects total liver <sup>13</sup>C-glycogen for the following reasons: (1) In spectra obtained from reference glycogen phantoms, we observed the exact same pattern of partial decoupling, (2) The integral of this partially decoupled signal was the same as the integral of the <sup>13</sup>C-glycogen signal with decoupling turned off, (3) The coupled [1-<sup>13</sup>C] glucose signals appear quickly following the start of the <sup>13</sup>C-glucose infusion and remain steady for the duration of the study, further allowing us to distinguish these signals from <sup>13</sup>C-glycogen. Thus, the lack of complete decoupling did not result in any errors in the detection or calculation of the integral of the <sup>13</sup>C-glycogen signal. Future work could focus on the optimization of decoupling schemes at UHF to further improve the SNR and spectral resolution of the <sup>13</sup>C-glycogen resonance. Improved coil design may be useful as well, as complete decoupling of the glycogen C1 NMR signal, along with improved resolution from the two glucose C1 signals has was recently reported using a modified coil design [<xref ref-type="bibr" rid="B30">30</xref>].</p>
<p>In order to achieve maximal rates of hepatic glycogen synthesis, we aimed to design our experimental protocol to satisfy three essential conditions: (1) increased blood glucose; (2) increased circulating insulin; (3) a portal signal (see Section Introduction and 8). Elevated blood glucose levels were achieved via clamping glucose at 3-4x basal (&#x0007E;60 mg/dl; Figure <xref ref-type="fig" rid="F7">7</xref>). Lean, healthy, and non-diabetic subjects were used so their normal homeostatic response to hyperglycemia ensured an increase in pancreatic insulin secretion. While we could not provide a portal signal to the liver because our infusions were peripheral IV only (a portal signal would have required surgical manipulation for the additional infusion of glucose directly into the portal vein), we chose to include a high dose of fructose in the infusion, which has been shown previously to stimulate hepatic glucose uptake and glycogen synthesis [<xref ref-type="bibr" rid="B26">26</xref>], as does the portal signal. The slope of <sup>13</sup>C-glycogen vs. time for each subject for all of study 1, and for the time before glucagon addition in study 2, represents the average hepatic <sup>13</sup>C-glycogen synthesis rate for each study. These values were &#x0007E;2 mg/kg/min. Note that to calculate the <italic>total</italic> hepatic glycogen synthesis rate, measurements of the <sup>13</sup>C enrichment in blood glucose are needed. While we did not make these measurements, we predict an approximate value of 75% enrichment based on studies using similar <sup>13</sup>C-glucose infusion protocols [<xref ref-type="bibr" rid="B17">17</xref>&#x02013;<xref ref-type="bibr" rid="B19">19</xref>]. This predicts a total glycogen synthesis rate of 2.5&#x02013;3 mg/kg/min, which is in line with measurements made in other studies in humans [<xref ref-type="bibr" rid="B21">21</xref>] and large animals [<xref ref-type="bibr" rid="B31">31</xref>] allowing for differences in experimental conditions such as initial fasting status, inclusion of a portal signal (i.e., glucose and fructose infused directly in to the portal vein), and control of hormonal concentrations.</p>
<p>To demonstrate the ability to acutely modulate and detect changes in hepatic glycogen metabolism, we infused glucagon on the second study date for each subject. Our high dose of glucagon resulted in plasma levels much higher than those previously reported in other hyperglucagonemic studies [<xref ref-type="bibr" rid="B32">32</xref>]. These studies, however, were done under basal glucose and insulin conditions without the inclusion of fructose, whereas our studies were done under conditions of elevated glucose, insulin, and fructose, all of which served to increase glycogen synthesis and provide a higher than usual barrier to show the effects of glucagon. Future studies could focus on modifying this protocol to include a return to basal glucose levels prior to the glucagon infusion which would allow for the use of lower, more physiologically relevant doses of glucagon. However, that we were able to detect changes in hepatic glycogen metabolism in real time <italic>in vivo</italic> is significant as this demonstrates the ability to use this paradigm to develop non-invasive, translatable biomarkers for pharmacological effectors of glycogen metabolism. Additionally, the application of recently reported <sup>1</sup>H-based MRI approaches to measure glycogen, such as chemical exchange saturation transfer (CEST) [<xref ref-type="bibr" rid="B33">33</xref>, <xref ref-type="bibr" rid="B34">34</xref>] and spin-lattice relaxation in the rotating frame (T1&#x003C1;) [<xref ref-type="bibr" rid="B35">35</xref>], may allow for mapping of glycogen synthesis rates within the liver, and regional variations thereof. These techniques can also be readily incorporated into most clinical scanners and thus may also lead to increased availability of these measurements.</p>
</sec>
<sec sec-type="conclusions" id="s5">
<title>Conclusions</title>
<p>We have shown that it is possible to use <sup>13</sup>C MRS at UHF to measure hepatic glycogen synthesis in real time, and to investigate the acute changes in hepatic glycogen metabolism produced by different hormonal and experimental conditions. We were able to recapitulate the essential features of these measurements made <italic>ex vivo</italic> in perfused mouse livers in a non-invasive fashion in NHPs, thus demonstrating overall translatability for the measurement of hepatic glycogen metabolism with <sup>13</sup>C MRS. These techniques should be applicable to the evaluation of novel pharmacological targets whose mechanism of action is to ameliorate Diabetes via modulation of hepatic glycogen metabolism. In summary, measurements of hepatic glycogen metabolism represent a translatable biomarker whose measurement via <sup>13</sup>C MRS is well-suited for high magnetic fields due to the increased SNR and spectral dispersion.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>CM designed and performed perfused liver studies, designed and performed NHP studies, analyzed the data, and wrote the manuscript. JC performed perfused liver studies. HZ designed and performed NHP studies. LC designed and performed NHP studies, GW performed NHP Studies, RK designed perfused liver and NHP studies, JG designed NHP studies.</p>
</sec>
<sec id="s7">
<title>Ethics statement</title>
<p>Perfused mouse liver study protocols were approved by the Institutional Animal Care and Use Committee of Merck &#x00026; Co., Inc., Kenilworth, NJ, USA. NHP study protocols were approved by the Institutional Animal Care and Use Committee of Vanderbilt University. All applicable regulations and laws pertaining to the use of laboratory animals were followed.</p>
<sec>
<title>Conflict of interest statement</title>
<p>CM, JC, and RK were employees of Merck &#x00026; Co., Inc. at the time this work was performed. Merck &#x00026; Co., Inc. funded the NHP studies performed at VUIIS. The other authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
</sec>
</body>
<back>
<ack><p>We acknowledge the VUMC Hormone Assay and Analytical Services Core (supported by NIH grants DK059637 and DK020) for providing support for the circulating glucagon measurements.</p>
</ack>
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