The Plant Journal (2009) 58, 220–234 doi: 10.1111/j.1365-313X.2008.03771.x The role of light in soybean seed filling metabolism Doug K. Allen*, John B. Ohlrogge and Yair Shachar-Hill Michigan State University, Plant Biology Department, East Lansing, MI 48824, USA Received 29 October 2008; revised 18 November 2008; accepted 27 November 2008; published online 27 January 2009. * For correspondence (fax +1 517 353 1926; e-mail [email protected]). Summary Soybean (Glycine max) yields high levels of both protein and oil, making it one of the most versatile and important crops in the world. Light has been implicated in the physiology of developing green seeds including soybeans but its roles are not quantitatively understood. We have determined the light levels reaching growing soybean embryos under field conditions and report detailed redox and energy balance analyses for them. Direct flux measurements and labeling patterns for multiple labeling experiments including [U-13C6]glucose, [U-13C5]-glutamine, the combination of [U-14C12]-sucrose + [U-14C6]-glucose + [U-14C5]-glutamine + [U-14C4]-asparagine, or 14CO2 labeling were performed at different light levels to give further insight into green embryo metabolism during seed filling and to develop and validate a flux map. Labeling patterns (protein amino acids, triacylglycerol fatty acids, starch, cell wall, protein glycan monomers, organic acids), uptake fluxes (glutamine, asparagine, sucrose, glucose), fluxes to biomass (protein amino acids, oil), and respiratory fluxes (CO2, O2) were established by a combination of gas chromatography-mass spectrometry, 13 C- and 1H-NMR, scintillation counting, HPLC, gas chromatography-flame ionization detection, C:N and amino acid analyses, and infrared gas analysis, yielding over 750 measurements of metabolism. Our results show: (i) that developing soybeans receive low but significant light levels that influence growth and metabolism; (ii) a role for light in generating ATP but not net reductant during seed filling; (iii) that flux through Rubisco contributes to carbon conversion efficiency through generation of 3-phosphoglycerate; and (iv) a larger contribution of amino acid carbon to fatty acid synthesis than in other oilseeds analyzed to date. Keywords: photosynthesis, seed metabolism, redox balance, isotopic labeling, metabolic flux analysis, soybean embryo, Rubisco. Introduction The proportions of oil, protein, and carbohydrate in soybean (Glycine max) seeds influence their value, and the control of their accumulation has been studied extensively. Maternally supplied substrates (Fabre and Planchon, 2000; Nakasathien et al., 2000; Pipolo et al., 2004) and seed genotype (Wilcox, 1998; Narvel et al., 2000; Hernandez-Sebastia et al., 2005) determine the oil and protein levels in the seed. Although the fatty acid composition of soybeans has been successfully engineered (Damude and Kinney, 2007), molecular attempts to modify the proportions of oil and protein have resulted in only a few successes for related legumes (Rolletschek et al., 2005a, 2007). In part this reflects the complexity of metabolic networks (Egli, 1998) and the uncertain relationship between seed composition and seed metabolism. One way to facilitate the study of seed metabolic networks is by growing embryos in vitro. The absence of a vascular connection between the seed coat and embryo (Thorne, 220 1980, 1981) implies that transfer of substrates from the plant to the embryo is apoplastic. Thus, by measuring the apoplastic contents surrounding the embryo, in planta conditions can be mimicked in vitro (Hsu and Obendorf, 1982; Obendorf and Wettlaufer, 1984). Using embryo cultures, numerous studies have explored the impact of altered medium composition or environmental conditions on growth and protein and oil production (Thompson et al., 1977; Holowach et al., 1984a, b; Saravitz and Raper, 1995; Hayati et al., 1996; Pipolo et al., 2004). These studies have not focused on the underlying metabolism nor considered the effect of light on seed metabolism. The greenness of soybean and other oilseed embryos implies the capacity to utilize light. For Brassica, a significant amount of light is transmitted to embryos (King et al., 1998; Ruuska et al., 2004). Studies of soybean seeds (Willms et al., 1999; Rolletschek et al., 2005b) and comparisons between ª 2009 The Authors Journal compilation ª 2009 Blackwell Publishing Ltd Role of light in soybean seed filling metabolism 221 linseed (green) and safflower (non-green) embryos (Browse and Slack, 1985) have led to the inference that light can play significant roles in providing free energy, reductant, and/or oxygen. Other studies on oilseed rape have correlated oil production with light-powered cofactor generation (Asokanthan et al., 1997). In fact, the photosynthetic rates in Brassica embryos (King et al., 1998) can meet the demands of fatty acid biosynthesis for reductant and ATP (Ruuska et al., 2004), and photosynthesis has been shown to contribute substantially to the carbon economy of these seeds (Schwender et al., 2004a; Goffman et al., 2005). Studies on the whole pod, seed, and cotyledons of soybean (Quebedeaux and Chollet, 1975; Sambo et al., 1977; Satterlee and Koller, 1984; Sugimoto et al., 1987; Willms et al., 1999), as well as other legumes (Flinn et al., 1977; Furbank et al., 2004), indicate photosynthetic reassimilation of CO2, although without a net photosynthetic capacity. Quantifying the contribution of photosynthetic electron transport and CO2 reassimilation to the economy of photoheterotrophic seeds is challenging, because CO2, oxygen, reductant and energy are simultaneously consumed and produced in many places during metabolism. Therefore all flows throughout the network of central metabolism must be considered in order to accurately report on their participation. Metabolic flux analysis (MFA) quantifies the flow of material through metabolic networks (Stephanopoulos et al., 1998; Roscher et al., 2000; Ratcliffe and Shachar-Hill, 2006; Dieuaide-Noubhani et al., 2007) utilizing the patterns of labeling in metabolites from isotopic labeling experiments together with uptake and output measurements to establish flux values. Through the quantification of metabolism at the systems level MFA facilitates metabolic engineering efforts (Libourel and Shachar-Hill, 2008; Schwender, 2008). The resultant flux maps offer insights into the carbon conversion processes of embryo metabolism and have been reported for embryos of rapeseed (Schwender et al., 2003, 2006), sunflower (Alonso et al., 2007), and soybean (Sriram et al., 2004). These studies have revealed higher carbon use efficiency in green (Schwender et al., 2004a) than in non-green (Alonso et al., 2007) embryos, and suggested that malate provides little carbon for fatty acid biosynthesis (Sriram et al., 2004; Schwender et al., 2006; Alonso et al., 2007). In some instances these models, which are based upon carbon balancing, have been partially validated by simplified energetic and redox considerations from the flux maps. However, independent experimentally derived redox balances that could add insight into the role of light were not performed. The present study examines the impact of light on the growth of soybean embryos and its role in their metabolism. We have determined the light levels reaching embryos under field conditions and report the detailed redox balance and energetic analyses for growing plant embryos. Multiple labeling experiments and direct flux measurements were performed to give further insight into green embryo metab- olism during seed filling, to develop and validate a flux map, and to improve the identifiability of fluxes in different parts of the network (Libourel et al., 2007). Our results show: (i) that developing soybeans receive low but significant light levels that strongly influence growth; (ii) a role for light during seed filling in providing significant ATP but not net reductant; (iii) that flux through Rubisco contributes to carbon conversion efficiency (CCE) and makes a substantial portion of the 3-phosphoglycerate (PGA) generated; and (iv) a larger contribution of amino acid carbon to fatty acid synthesis than in other oilseeds studied to date, coupled with an increased supply of pyruvate from malic enzyme relative to pyruvate kinase. Results Developing soybean embryos receive moderate levels of light The potential contribution of photosynthesis to embryo metabolism depends on the amount of light transmitted to the embryo. We estimated the amount of light with wavelengths between 400 and 700 nm that is incident on developing embryos by measuring light transmission through the relevant plant tissues (Figure 1). Measurements in the field after canopy closure and flowering but before seed maturation showed that shading by leaves reduces the light levels by 80–94%, depending on the location of a fruit within the canopy (data not shown). Of the light reaching the fruit, approximately 30% is transmitted through the wall to the seed coat and the seed coat transmits approximately 50% of this to the embryo. At a latitude of 43º at noon in a typical soybean field we calculated that the light received by most embryos is in the range of 5–30 lE m)2 sec)1. Light is preferentially absorbed by plant tissues at higher and lower wavelengths, so that the penetrating light is enriched in the range 525–575 nm. Embryos used in subsequent experiments were at a post-mitotic stage where storage deposition was close to linear (i.e. approximately 10–15 mg dry weight, approximately 30–40 days after pollination in the R5–R5.5 reproductive stage of growth; Satterlee and Koller, 1984; Egli, 1998). Such pods are generally located higher on the plant relative to the canopy, resulting in higher light intensities. Therefore a 30–35 lE m)2 sec)1 light level was used for most cultures, with others at 5 or 100 lE m)2 sec)1 for comparison with a range of possible in planta conditions. Substrate uptake, biomass production, and carbon conversion efficiency Light may contribute to embryo development by providing reductant for the synthesis of reduced products and/or by providing free energy for transport, polymerization, and other endergonic processes in anabolism. To estimate the ª 2009 The Authors Journal compilation ª 2009 Blackwell Publishing Ltd, The Plant Journal, (2009), 58, 220–234 222 Doug K. Allen et al. Figure 1. Light transmittance to the embryo. During the growing season, sunlight in soybean growing regions can average 1000 lE m)2 sec)1 for daylight hours and reach 2000 lE m)2 sec)1. Transmission spectra for a soybean leaf, pod, and seed coat suggest the embryo may receive up to 39 lE m)2 sec)1 of light. Field measurements in central Michigan suggest values closer to 5–30 lE m)2 sec)1 depending upon planting density, pod location on the plant, and sunlight levels at the time of measurement. Spectra represent an average of two measurements over different areas of tissue; measurements on other parts of each tissue consistently gave similar values. extent to which light may be serving either of these needs requires measurements of substrate uptake and product synthesis. Such measurements are also needed to assess whether seeds are developing normally in culture and whether they are in metabolic steady state, which is a prerequisite for steady-state flux analysis. The predominant carbon and nitrogen substrates available to developing soybean embryos in the apoplastic space have been reported to be sucrose, glucose, glutamine, and asparagine (Hsu et al., 1984; Rainbird et al., 1984; Gifford and Thorne, 1985; Egli and Bruening, 2001). These were supplied in culture under conditions (see Experimental Procedures) that resulted in growth rates of 4.9–7.8 mg dry weight day)1 per embryo (Table S1 in Supporting Information). In planta growth rates are in the range of 5–7 mg dry weight day)1 per embryo (Rubel et al., 1972; Hsu and Obendorf, 1982; Egli et al., 1985). Triacylglycerol and protein levels in cultured embryos were measured to be 18.4 1.1% and 38.4 1.9% of total biomass, respectively, which is very similar to those of embryos that developed in planta (19.2 3.3% and 40.4 1.2%, respectively; Table S1a, Figure S1a,b). Embryos cultured for 8, 11, or 14 days gave similar oil, protein, and biomass accumulation rates, reflecting metabolic steady state and consistent with previously reported time profile reports for growth in planta (Rubel et al., 1972; Privett et al., 1973; Dahmer et al., 1991) and our unpublished results. The amino acid composition of total protein and the fatty acid profile of storage triacylglycerol (TAG) were determined using gas chromatography (oil) and a combination of C and N elemental analysis and amino acid analysis (protein) of embryo tissue. The amino acid and fatty acid profiles from cultured embryos were very similar to those from embryos that developed in planta (Figure S1a,b). Measurements of embryo composition and dry weight (see Experimental Procedures) were used to determine fluxes into biomass (Figure 2). Uptake fluxes were established by measuring the depletion of substrates from the medium (see Experimental Procedures). The uptake of glutamine accounts for 81 1.8% of all nitrogen utilized by the embryo, with asparagine providing the remainder. Sucrose and glucose provide 52 6.0% and 26 2.9%, respectively, of the organic carbon taken up (Figure 2). The rate of CO2 production was determined to be 70.4 5.0 lmol day)1 per embryo by measuring the 14CO2 emitted by embryos cultured in the presence of substrates that were uniformly labeled with 14C. Infrared gas analysis (IRGA) measurements were also consistent with this value (data not shown). Comparing substrate uptake with biomass and CO2 production yields estimates of carbon use efficiency of 82–83% (see Experimental Procedures), which compares with 85–95%, and 50% for developing embryos of oilseed rape (Brassica napus) and sunflower (Helianthus anuus), respectively, at physiological conditions (Goffman et al., 2005; Alonso et al., 2007). Biosynthesis of storage compounds requires light-driven ATP synthesis The oxidation state of carbon in substrates and products was compared using standard chemical redox state assignments ª 2009 The Authors Journal compilation ª 2009 Blackwell Publishing Ltd, The Plant Journal, (2009), 58, 220–234 Role of light in soybean seed filling metabolism 223 Measurement method Flux description Carbon dioxide production Oxygen Paramagnetic/GCMS consumption Plastidic acetyl GC-FID CoA for oil 14C Balance study Glucose uptake Sucrose uptake Glutamine uptake Asparagine uptake NMR medium depletion 7.0 6.5 6.0 5.5 Flux measured Amino (μmol day–1 embryo–1) acid Culture In Planta* (μmol day–1 Measurement method embryo–1) 70.4 ± 5.0 28.5 ± 14.0 35.2 ± 2.7 16.9 ± 3.0 17.0 ± 1.3 14.3 ± 1.0 3.4 ± 0.6 5.0 4.5 C:N & amino acid analysis proteinaceous amino acids* 4.0 His Ile Leu Lys Met Phe Pro Ser Thr Tyr Val Ala Arg Asp/Asn Cys Glu/Gln Gly 3.5 3.0 0.52 ± 0.03 1.03 ± 0.06 1.81 ± 0.12 1.40 ± 0.06 0.18 ± 0.03 0.92 ± 0.06 1.36 ± 0.11 1.27 ± 0.07 0.93 ± 0.03 0.39 ± 0.09 1.33 ± 0.06 1.57 ± 0.06 1.49 ± 0.28 2.70 ± 0.11 0.11 ± 0.04 3.59 ± 0.26 1.72 ± 0.08 2.5 0.43 ± 0.05 1.03 ± 0.05 1.67 ± 0.10 1.19 ± 0.01 0.23 ± 0.02 0.84 ± 0.07 1.21 ± 0.07 1.73 ± 0.09 1.11 ± 0.03 0.62 ± 0.10 1.14 ± 0.15 1.74 ± 0.33 1.34 ± 0.03 2.79 ± 0.26 0.26 ± 0.01 3.90 ± 0.17 1.82 ± 0.03 ppm Figure 2. Biosynthetic flux measurements. The tables list values of uptake, export, and storage deposition rates. Biosynthetic fluxes to biomass, uptake fluxes, and gas fluxes were measured as described in the Experimental Procedures and text. Figures S1(a) and (b) (protein derived amino acids and triacylglycerol-based fatty acids) show further comparisons with biomass composition in planta. Data for each of the glucose and glutamine labeling experiments (three replicates each) were modeled separately. Depletion of substrates from the medium was measured by NMR to determine uptake fluxes for carbon and nitrogen substrates and their standard deviations (n = 3). Gallic acid served as an internal standard. The spectrum shown is a representative 1H 500-MHz NMR spectrum of spent media. *In planta fluxes were calculated using reported amino acid compositions (Yazdi-Samadi et al., 1977) of growing embryos with standard deviations established from that study. (Supplement S2). The average oxidation state of carbon in the substrates is: glucose (0), sucrose (0), glutamine (+0.4), and asparagine (+1). From the measured uptake rates, sugars, glutamine, and asparagine represent 79%, 17%, and 4%, respectively, of carbon uptake. Therefore carbon taken up has an average oxidation state of +0.11. Based on the measured embryo composition, the average oxidation state for carbon was found to be )0.06 in protein amino acids, )1.55 in oil, and 0 for cell wall carbohydrates and starch. Therefore, for a soybean with a biomass composed of 39% protein, 18% oil, and 43% carbohydrate by weight (data from embryos from 13C experiments) and which converts 18% of the carbon taken up into CO2, the average oxidation state of carbon in products is +0.37. Since the carbon in metabolic products is on average more oxidized than in the substrates, there is no formal requirement for reductant produced by lightdriven oxidation of water. Indeed the difference implies the withdrawal of electrons, which is quantitatively consistent ª 2009 The Authors Journal compilation ª 2009 Blackwell Publishing Ltd, The Plant Journal, (2009), 58, 220–234 224 Doug K. Allen et al. consumption (Stephanopoulos et al., 1998). Thus metabolism of exogenous substrates cannot alone supply the ATP requirements of developing soybean embryos, implying a significant role for light in their ATP economy. with the observation that embryos cultured under these conditions consumed oxygen (measured to be 28.5 14 lmol day)1 per embryo (mean SD, n = 5) using gas chromatography-mass spectrometry (GC-MS) and confirmed with a paramagnetic response analyzer with independent culturing experiments (see Experimental Procedures). We next estimated the demands of biosynthesis for ATP assuming published stoichiometries for polymerization of storage products and cell walls (Supplement S3) as being approximately 168 lmol of ATP equivalents per day per embryo. Assuming that oxygen not used for fatty acid desaturation events is consumed to produce ATP via oxidative phosphorylation, and assuming a maximum feasible rate of substrate-level phosphorylation, we estimate the maximum ATP production from catabolism of sugars to be 171–178 lmol ATP day)1 per embryo (Supplement S3). A more realistic estimate of metabolic ATP production is obtained using the metabolic flux map determined for this system which shows a deficit of ATP production compared with the demands of biosynthesis (see below). In addition, ATP is used in the uptake of substrates, futile cycling, maintenance of cellular gradients, transport of metabolites across organelle membranes, turnover of proteins, and the synthesis and turnover of RNAs. These additional maintenance processes can account for over half of the cellular ATP P5P 30 PGA 20 Ser 10 Acetyl CoA High Plastid Serine Aromatics (d) Threonine 0.8 0.18 0.6 0.12 0.4 0.06 0.2 0 Cytosol 0 Low Med High Low Med High Low Med High PGA Rubisco CO 2 Ser CO2 Scaled specifc activity Med Calvin Cycle Rubisco CO 2 PYR 0 0.24 S7P/E4P Calvin Cycle 40 (b) P5P S7P/E4P 50 Low Scaled specifc activity The influence of light on seed metabolism was investigated by comparing growth and 14CO2 assimilation by embryos at low (5 lE), medium (30–35 lE), or high (100 lE) light levels. Moderate light levels significantly enhanced growth rates in culture compared with low light levels (Figure 3a) consistent with documented light–biomass correlations for soybeans (Satterlee and Koller, 1984). Biomass accumulation did not increase further in high light, suggesting that embryos may be optimized for biomass production at moderate light levels, consistent with the estimated in planta light intensities (Figure 1). Radioactivity levels in different metabolites were measured after 5 days of labeling with 14CO2 (see Experimental Procedures). Labeling levels were normalized to the specific activity of intracellular bicarbonate, which was estimated from the activity in the terminal carbon of arginine that is synthesized directly from this pool. This internal reference allows an analysis of the effect of light on the activities of (c) Total biomass made during culture (mg) (a) Light stimulates growth and carbon dioxide fixation 0.12 CO2 PYR Acetyl CoA Acetyl carbon groups 0.08 0.04 0 Low Med High Figure 3. The effect of light on growth and the incorporation of 14CO2 into embryo metabolites. Light levels used were: low (5 lE m)2 sec)1), medium/physiological (30–35 lE m)2 sec)1), and high (100 lE m)2 sec)1) with values plus standard deviations reported for triplicate samples. (a) Impact of light on biomass accumulation for embryos in culture. (b) The molar specific activity of 14C in amino acids made from 3-phosphoglycerate (PGA) (serine), phosphoenol pyruvate (PEP) (aromatics), and oxaloacetate (OAA) (threonine) scaled to the specific activity of internal inorganic carbon. (c) Illustration of 14CO2 incorporation by Rubisco (resulting in labeling of serine) and Calvin cycle activity (resulting in labeling in fatty acids). C-1 of serine is derived from C-1 of PGA which is where label from 14CO2 is incorporated, but label only reaches fatty acids (acetyl-CoA) after scrambling of the label via the aldolase and ketolase activities of the Calvin cycle or non-oxidative reactions of the pentose phosphate pathway. (d) The specific activity of 14C in fatty acids per acetyl group. ª 2009 The Authors Journal compilation ª 2009 Blackwell Publishing Ltd, The Plant Journal, (2009), 58, 220–234 Role of light in soybean seed filling metabolism 225 activity. However, this interpretation is not supported by the [U-13C5]-glutamine experiment described below. different metabolic steps that incorporate inorganic carbon. Label in serine directly reflects labeling in plastidic PGA, from which it is made under non-photorespiratory conditions (Goffman et al., 2004). Therefore the specific radioactivity of serine reflects Rubisco-based carbon fixation (Figure 3b). Labeling in aromatic amino acids that are made from phosphoenol pyruvate (PEP) and erythrose-4P in the plastid, provide a further indication of CO2 incorporation via Rubisco (Figure 3b). Labeling in oxaloacetate-derived metabolites such as threonine and related amino acids can result from Rubisco-based fixation (if triose leaves the plastid) and/or from carboxylation of PEP. Labeling in threonine was found to be higher than in PGA-derived intermediates (Figure 3b) but was much less influenced by light level than labeling in plastidic metabolites. Rubisco activity results in incorporation of label from 14 CO2 into the first carbon position of PGA whereas label reaches the other positions of PGA after scrambling (Figure 3c). Fatty acids are derived only from the second and third positions of PGA, so that labeling in fatty acids (Figure 3d) reflects scrambling events and is consistent with Calvin cycle activity. For the two higher light conditions there is a much greater degree of labeling in fatty acids, consistent with increased Calvin cycle activity at higher light levels. An alternative interpretation is that labeling was due to a combination of fixation by PEP carboxylase (PEPC), import into the mitochondria, scrambling via fumarase, export to the cytosol, decarboxylation (PEPC kinase), import into the plastid, and pentose phosphate pathway (PPP) Contribution of amino acid uptake to biomass production To more fully resolve the patterns of metabolic flux in soybean we performed 13C labeling experiments in which the glutamine in the growth medium was replaced with 100% [U-13C5]-glutamine (Figure 4). The labeling in proteins, lipids, carbohydrates, and organic acids was analyzed by a combination of NMR and GC-MS. Malate was labeled on average to over 41% per carbon under these conditions, and labeling in threonine was similarly high. Both pools contained a substantial proportion of fully labeled molecules (isotopomers). This shows a high degree of labeling in C4 acid pools (malate and OAA). Thus the [U-13C5]-glutamine experiment allows us to test whether there is a significant flux from C4 acids into plastidic PGA, as required if scrambling via the PPP is to explain the labeling from 14CO2 into plastid-derived pools of PGA, PEP, or pyruvate (resulting in labeling of serine, fatty acids, and aromatic amino acids). There was no significant presence of multiply labeled molecules in these metabolite pools when embryos were labeled with [U-13C5]-glutamine, supporting the idea that Rubisco and the Calvin cycle rather than gluconeogenesis and PPP are responsible for the results of the 14CO2 experiment. Forty-one per cent of the total carbon from glutamine is converted into glutamate-derived amino acids in protein, 26% to carbon dioxide, and 14% to pyruvate-derived Fatty Acid Ala Val Leu Acetate 9.4% ± 1.4 9.5% ± 2.2 9.2% ± 4.6 9.7% ± 0.1 <1% Hexose/ Triose-derived 1% ± 0.2% CO2 26% ± 1.4% Pyruvate Pyruvatederived 14% ± 0.3% CO2 Thr 47.7% ± 0.6 Aspartatederived 11% ± 0.2% Lysine/ Isoleucine 7% ± 0.3% Glutamatederived 41% ± 0.9% CO2 Acetate 30.0% ± 0.1 Gly 5.5% ± 0.5 Asn Ala, Val, Leu, Fatty Acids CO2 Citrate 100% Isocitrate Malate 36.5% ± 2.2 40.4% ± 2.2 Malate Gln CO2 2-oxoglutarate C1 Glu 0% Met 36.8/44.3% ± 0.6/0.6* Succinate CO2 57.3% ± 4.8 Pro, Arg, Glx 76.8% ± 1.3 71.4% ± 0.3/ 81.4% ± 0.5 80.5% ±0.3* Figure 4. The distribution of label in different metabolic pools from cultures supplied with [U-13C5]-glutamine. Values are mean standard deviation (n ‡ 3). (a) Distribution of 13C from [U-13C5]-glutamine into different product pools. (b) Carbon transitions through the citrate cycle and into lipid. Each pie chart shows the average 13C enrichment in each metabolite. *For methionine and arginine the first number is based upon the average labeling in all carbons, while the second number discounts the carbon associated with CO2 or C1 metabolism respectively. ª 2009 The Authors Journal compilation ª 2009 Blackwell Publishing Ltd, The Plant Journal, (2009), 58, 220–234 226 Doug K. Allen et al. (Figure 5). Metabolic flux analysis requires that the system be in metabolic steady state (as shown above) and also in isotopic steady state (constant pattern of label distribution; Szyperski, 1998). We compared labeling patterns in storage proteins with those of free amino acids and found them to be very similar (Table S1b), which indicates that isotopic steady state had been reached during the 14 days of labeling in culture. Next we compared the ability of alternative models of central metabolism that are compatible with the literature to account for the biomass fluxes, 13C labeling data, and gas exchange measurements (Supplements S1 and S4). Labeling in plastidic (starch) and cytosolic (cell wall and proteoglycan) carbohydrate pools was found to be very similar (Figure S1d) and did not allow accurate resolution of glycolytic and nearby fluxes in these two compartments. The metabolic flux map representing the best estimate of forward and reverse fluxes is presented in Figure 5 and Table 1. Cofactor and overall nitrogen balances, not part of the modeling, were used to validate the results. Modeled fluxes for glutamine and asparagine uptake represent a nitrogen source and were compared with the modeled fluxes for protein amino acid generation. Protein synthesis fluxes account for 91% of all nitrogen consumed, consistent with protein being the primary nitrogen sink in soybean storage metabolism. Secondly, nitrogen measured by combined amino acid/C:N analysis represents 89% of the N uptake (NMR depletion), thus independently confirming metabolites (Figure 4a). Aspartate-derived amino acids become moderately labeled but represent small fluxes that require relatively little (11%) of the carbon taken up as glutamine. Nearly 10% of the carbon in fatty acids is labeled, indicating a significant flow from malate into pyruvate, which serves as the precursor to fatty acid synthesis (Figure 4b). Since malate becomes labeled to over 40%, a 10% labeling in fatty acids implies that approximately a quarter of fatty acid carbon is derived from this pool, and if it is made through plastidic malic enzyme it could potentially be a significant source of plastidic NADPH. The hexose-derived products (starch and cell wall) show little or no detectable labeling, indicating a lack of gluconeogenic activity in expanding soybean embryos in the light. The lack of multiple labeling in glycerol, histidine, aromatic amino acids, and serine from [U-13C5]-glutamine (Table S1c, Figure S1c, d) support the same conclusion. Metabolic flux analysis The findings described above point to roles for light and Rubisco in biomass production by developing soybean seeds. To quantify these roles we performed steady-state metabolic flux analysis (Zupke and Stephanopoulos, 1994; Schmidt et al., 1997; Wiechert et al., 2001; Ratcliffe and Shachar-Hill, 2006) using the uptake, efflux, and 13C labeling data already described together with additional data from steady-state [U-13C6]-glucose labeling experiments Sugars 44.4 ± 1.8 15.3 CO2 72.4 ± 1.7 Cell Wall Starch ± 3.5 HP 25.7 ± 1.8 C1, CO2 ± <0.1 Gly, Ser, Cys 2.1 2.1 ± 0.1 ± 0.2 X5P R5P ± 0.1 ± 0.5 CO2 1.3 ± 1.1 ± 0.1 Phe, Tyr 7.8 44.2 ±0.4 ± 1.5 CO2 Ala, Val, Leu CO2 Pyruvate CO2 Lysine + CO2 2.1 10.7 ± 1.2 Fatty Acids 37.0 CO2 Citrate 7.7 ± 0.5 1.4 ± 0.1 ± 1.9 Fatty Acid Elongation 7.5 ± 0.5 7.5 ±0.5 Malate 2.6 ±0.4 Asx 1.2 ± 0.3 Glutamine Isocitrate ± 0.1 Asparagine His C1 7.0 PEP 6.0 Threonine ± <0.1 2.1 PGA CO2 ± <0.1 0.5 Ru5P ± 0.1 ± 2.7 1.0 ± ~0 3.4 S7P 52.7 Isoleucine 0.1 X5P E4P ± 2.6 3.9 ± 0.1 Fatty Acid Elongation T3P 42.6 1.0 5.5 ± 0.4 ± 0.1 Glycerol T3P T3P 1.3 2-oxoglutarate C1 0.2 ± <0.1 Methionine ±0.7 ± 0.7 Succinate ± 0.5 6.9 ± 0.2 14.4 14.4 13.2 CO2 Glutamate 6.3 ± 0.4 CO2 Pro, Arg, Glx Figure 5. Metabolic flux map of developing soybean embryos as determined from least squares fitting with 755 measurements of uptake, export, and product deposition rates and 13C labeling results (see Experimental Procedures). Values represent the optimum values 90% confidence intervals. All fluxes are reported as lmol metabolite per day per embryo. Reversible fluxes are listed in Table 1. ª 2009 The Authors Journal compilation ª 2009 Blackwell Publishing Ltd, The Plant Journal, (2009), 58, 220–234 Role of light in soybean seed filling metabolism 227 Table 1 Forward and backward fluxes for reversible fluxes through metabolism of developing soybean embryos Flux values (lmol metabolite day)1 per embryo) Flux or rate description Aldolase Transketolase one Transaldolase Transketolase two Glyceraldehyde-3-P to 3-phosphoglycerate Enolase PEP to OAA Isocitrate dehydrogenase Glutamine to glutamate Glutamate to 2-oxoglutarate Fumarase Forward Reverse 67.5 26.6 26.6 24.7 70.1 41.8 24.5 24.5 21.4 27.6 52.7 6.6 14.3 12.8 43.8 33.9 0.0 0.6 6.8 0.5 36.9 19.5 PEP, phosphoenolpyruvate; OAA, oxaloacetate. experimental and modeling results. A separate validation using the oxygen measurements is described in Supplement S2. The flux map allows one to quantify the maximum metabolic ATP production rate by assuming that all NAD(P)H and FADH produced is consumed via oxidative phosphorylation to make ATP at stoichiometries of 2.3–2.5 and 1.4–1.5 ATP per NAD(P)H and FADH, respectively (Hinkle, 2005). This yields a synthesis rate of 124–136 lmol ATP day)1 per embryo, a deficit of 27–39 lmol day)1 per embryo compared with biosynthetic needs, confirming that light is needed for ATP production. A light level of 30 lE m)2 sec)1 can provide approximately 125–195 lmol ATP day)1 per embryo, assuming stoichiometries estimated in the literature for photosynthetic ATP synthesis of 1 ATP per 3.0–4.7 protons (Arnon, 1984; Steigmiller et al., 2008; Zhu et al., 2008). Metabolic flux analysis also supports a role for Rubisco in the metabolism of soybean embryos, as was indicated by 14 CO2 and 13C labeling data. Models that include Rubisco are better able to account for the 14C labeling, and CO2 efflux data (Supplement file S4) than those in which the oxidative pentose phosphate pathway is a major flux. However, at the moderate light levels received by developing soybeans in the field, the role of Rubisco is more modest than in B. napus embryos. The flux map in Figure 5 estimates that Rubisco assimilates 11% of the CO2 released by the tricarboxylic acid (TCA) cycle and in fatty acid synthesis, compared with 39% in B. napus. Reassimilated CO2 therefore contributes to carbon use efficiency in the embryo. The flux map shows that mitochondrial metabolism operates in a conventional mode, with the TCA cycle consuming 17% of the carbon taken up in the form of sugars and amino acids, and accounting for 41% of the net CO2 production. This contrasts with developing B. napus embryos where there is no significant TCA cycle flux (Schwender et al., 2006) and with sunflower where the TCA cycle consumes 40% of the substrates and accounts for 71% of the CO2 production. The low proportion of fatty acids with chain lengths above 18 in soybean oil means that much less citrate is withdrawn from the mitochondrion to provide acetyl-CoA units in the cytosol relative to Brassica. Despite the net forward cyclic flux through the TCA cycle enzymes, the flux map indicates a high degree of reversibility between oxaloacetate and fumarate. The C4 dicarboxylic acids are therefore treated as a single pool (Schwender et al., 2006; Junker et al., 2007). Labeling with [U-13C5]-glutamine results in a significant degree of penta-labeled (M + 5) citrate, which indicates that isocitrate dehydrogenase, conventionally regarded as catalyzing an irreversible decarboxylation, is operating reversibly (Figure 6). The MFA analysis confirmed this conclusion and yields a ratio of approximately 2:1 for forward to reverse flux. Schwender et al. (2006) also observed reversible flow through isocitrate dehydrogenase in developing B. napus embryos, though the result was even more pronounced with net flux in the direction of carboxylation. Metabolic flux analysis also provides evidence for a significant contribution to threonine turnover and glycine synthesis by threonine aldolase. This conclusion rests on a comparison of labeling in glycine on the one hand and serine and threonine on the other in the [U-13C5]-glutamine labeling experiment. Under non-photorespiratory conditions, such as those in developing soybean embryos (Goffman et al., 2004), glycine is made from serine via serine hydroxymethyl transferase or from threonine via threonine aldolase (Jander et al., 2004). Flux analysis indicates that 6% of threonine made from aspartate is broken down via threonine aldolase, contributing 5% of glycine synthesis. Discussion Soybean embryos receive light for growth and metabolism Soybean embryos in agricultural fields are shaded from direct sunlight but nevertheless receive physiologically significant amounts of light. Our results indicate that most embryos receive 5–30 lE m)2 sec)1 during the day in a temperate climate (Figure 1) and that these amounts of light increase their growth (Figure 3a) and have significant impacts on their metabolism including an increase in the incorporation of carbon derived from CO2 fixation into oil and other biomass components (Figure 3b, d). The percentage transmittance of light through soybean siliques is similar to that in a previous report for B. napus (Ruuska et al., 2004), although rapeseed embryos are more exposed to sunlight in planta because their pods are located above the leaf canopy. Indeed the shading of soybean embryos in agricultural settings may not be typical of the environment ª 2009 The Authors Journal compilation ª 2009 Blackwell Publishing Ltd, The Plant Journal, (2009), 58, 220–234 228 Doug K. Allen et al. 0.5 Measured Calculated without reversibility Modeled with reversibility 0.4 0.3 1 4 3 2 2 1 0.2 + 1 0.1 [M+6]+ [M+5]+ [M+4]+ [M+3]+ Citrate [M+2]+ 1 2 3 4 5 0 [M+1]+ AcCoA [M]+ [M+2]+ [M+1]+ 1 2 [M]+ 0.9 0.6 0.3 0 0.8 2-oxoglutarate [M+1]+ Glutamate (Proline) [M+5] + 1 2 3 4 5 [M+4]+ CO2 0.8 0.6 0.4 0.2 0 0 [M+3]+ [M+4]+ [M+3]+ [M+2]+ [M+1]+ 0 [M]+ 0.2 0.4 [M+2]+ 0.4 [M]+ CO2 1 [M+1]+ Malate 1 2 3 4 [M]+ 0.6 Figure 6. Labeling in tricarboxylic acid (TCA) cycle intermediates after culturing with [U-13C]-glutamine. Values are mean SD (n ‡ 3). Simplified TCA cycle with histograms representing the distribution of mass isomers measured for each intermediate. Labeling in citrate usually reflects that of malate and acetyl-CoA precursors. However, the labeling pattern in citrate was found to have a high number of molecules with five 13C atoms ([M + 5]+ peak) which implies that isocitrate dehydrogenase is operating reversibly. in which ancestral strains evolved; ancestral soybean (Glycine soja) has a vine-like morphology (Saitoh et al., 2004a, b). The observation that the light levels reaching embryos enhance growth suggests possible opportunities for enhanced yield through selection of plants with more exposed seeds. Yield is a reflection of duration of seed growth and seed growth rate (Egli, 1998) and these are affected by the daylight characteristics (geographical location) as well as leaf canopy, pod wall, and seed coat transmittances. Though the seed filling time frame of our cultures represents only a portion of the total filling period, silique and seed coat chlorophyll contents (Quebedeaux and Chollet, 1975) and transmittances (Furbank et al., 2004) can change during the entire span of reproductive development in legumes and could represent logical starting points for increasing yield. Photosynthesis produces ATP for biomass accumulation Soybeans require large amounts of ATP for protein and oil biosynthesis and are dependent upon light to partially fulfill this demand. Based upon the measured fluxes to biomass we estimated the ATP requirement for storage protein polymerization and storage triacylglycerol fatty acid elongation processes. The uptake fluxes of sugars that are not used in generation of storage carbohydrate can be used to calculate a maximal rate of substrate level phosphorylation; the oxygen consumption not required for desaturation of fatty acids gives a maximal estimate of oxidative phosphorylation (Supplement file S3). This analysis suggests, and flux mapping (Figure 5) confirms, that soybean embryos produce insufficient ATP from oxidative and substrate-level phosphorylation for their anabolic and other physiological needs. The light levels reaching developing soybean embryos in planta are sufficient to meet this need (Supplement file S3). For oilseed rape embryos, metabolic flux analysis has demonstrated a role for light in providing ATP and reductant for fatty acid synthesis (Schwender et al., 2006). In developing sunflower seeds, which lack photosynthetic pigments, catabolism provides these cofactors (Alonso et al., 2007). Our analysis of the oxidation state of substrates taken up and products formed shows that metabolism provides enough reductant for biosynthesis. This suggests that cyclic photophosphorylation, which does not produce reductant or O2 (Allen, 2003), is used more than non-cyclic photophosphorylation. Cyclic photophosphorylation produces ATP which is consistent with the evidence presented for a role for light in ATP production. Non-cyclic photophosphorylation would produce more NADPH than the redox balance analysis shows is needed. It would also produce more O2 than indicated by the gas exchange measurements. The respiratory O2 consumption predicted by the flux map agrees with the net O2 consumed (Supplement S2). However, non-cyclic photophosphorylation cannot be excluded from our results, since excess NADPH produced by this process in the chloroplast could be used to reduce NAD to NADH which could be consumed by mitochondrial respiration together with the excess O2. Cyclic photophos- ª 2009 The Authors Journal compilation ª 2009 Blackwell Publishing Ltd, The Plant Journal, (2009), 58, 220–234 Role of light in soybean seed filling metabolism 229 phorylation has previously been suggested to occur in legumes (Willms et al., 1999; Furbank et al., 2004), and shown to be significant in the bundle sheath chloroplasts of C4 plants (Shikanai, 2007). We found that seeds exposed to higher light levels produced biomass with a lower net oxygen consumption per tissue weight (data not shown). Thus non-cyclic photophosphorylation may be more important at higher light levels. This would be consistent with the suggestion that photosynthesis in soybeans does produce oxygen (Rolletschek et al., 2005b). That suggestion was made on the basis of measurements of O2 levels in soybeans exposed to higher light levels than those used in this study. Experiments using 18O and/or fluorescence spectroscopy would be of interest to establish the contributions of cyclic and non-cyclic photosynthesis to filling seeds and biomass accumulation at different light levels. We have included reversible pentose phosphate reactions with carboxylation by Rubisco in the representation of seed metabolism in soybeans because this model was best able to account for the CO2 flux measurement as well as labeling information (see Supplement S4). In green tissues, Calvin cycle and oxidative pentose phosphate pathway (OPPP) activities are reciprocally regulated at several biochemical levels, including the light-induced pH change of stroma and thylakoid compartments (Werdan et al., 1975) as well as the reduction state of thioredoxin which modulates glucose-6-phosphate dehydrogenase (G6PDH), Rubisco, and PPP/Calvin cycle enzyme activities (reviewed in Buchanan, 1980). Ruuska et al. (2004) showed that in developing soybeans growing in planta in the light, the activation state of plastidic enzymes is comparable to illuminated leaves, which is consistent with this aspect of our model. Rubisco contributes to the carbon economy of developing soybeans Fatty acids are partially made from carbon imported as amino acids The combination of CO2 efflux measurement, flux mapping (Figure 5), and 14CO2 labeling patterns (Figure 3) supports a role for Rubisco-based carbon reassimilation. In particular, labeling in fatty acids from 14CO2 suggested a role for Rubisco and other Calvin cycle enzymes, especially at elevated light levels, but could also have been due to an indirect route involving the sequential action of PEPC, import to mitochondrion, reversible flux to fumarate and back (resulting in label scrambling), export to cytosol, and decarboxylation to PEP and thence to PGA. However, the results of the steady-state 13C glutamine labeling experiments were not consistent with the idea that this indirect route accounts for the results of the 14CO2 experiment. Alternative flux models with an oxidative pentose phosphate pathway can account for the 13C labeling data but do not account for the CO2 efflux rates recorded. The flux mapping results (Figure 5 and Table 1) indicate that at 30–35 lE m)2 sec)1 Rubisco in soybean embryos refixes 11% of the CO2 released by lipid synthesis and the TCA cycle. At 100 lE m)2 sec)1 the contribution of Rubisco to soybean metabolism appears to be substantially higher (Figure 3). Such light levels would meet or exceed those typically experienced by embryos developing near the top of the plant (with little leaf cover). Rubisco was shown to be present and activated in soybean embryos (Sugimoto et al., 1987; Ruuska et al., 2004) but it has not been included in a previous metabolic flux model of developing soybeans (Sriram et al., 2004; Iyer et al., 2008). In B. napus embryos, which are exposed above the leaf canopy, Rubisco refixes 39% of CO2 released by oil synthesis (Schwender et al., 2004a). This increases the carbon conversion efficiency (Goffman et al., 2005), making it much higher than in nongreen oilseeds such as sunflower (Alonso et al., 2007). Flux measurements and 13C labeling results, particularly those where [U-13C5]-glutamine was supplied, show that close to 20% of all stored carbon, including 10% of fatty acid carbon, is imported as glutamine (Figure 4). When incorporated into flux modeling analysis, these data indicate that the import of malate and/or pyruvate made from malate into the plastid plays a greater role in oil biosynthesis in soybeans than in rapeseed or sunflower, (Schwender et al., 2004b, 2006; Alonso et al., 2007). Our work suggests that in soybeans 20% of total pyruvate is made by malic enzyme. For plants that are capable of providing their seeds with large amounts of amino acids (i.e. reduced carbon and nitrogen), such as legumes, amino acid carbon may play a larger role in the final storage carbon distribution. Furthermore, nitrogen-fixing plants may partially offset demands from the embryo for reductant by delivery of these reduced forms of nitrogen and through their subsequent metabolism in the embryo by malic enzyme. The TCA cycle reactions carry fluxes intermediate between other green and non-green seeds Flux mapping indicates that flux around the TCA cycle in the mitochondria of soybean embryos fuels oxidative phosphorylation and yields enough ATP to meet 77–83% of the ATP demands of biosynthetic metabolism (Supplement S3). In rapeseed, by contrast, there is no net flux round the TCA cycle and oxidative phosphorylation accounts for less than 22% of ATP needed for biosynthesis (Schwender et al., 2006). In sunflower embryos the TCA cycle carries a large cyclic flux, with the flux through citrate synthase being 85% of glucose uptake and mitochondrial respiration accounting ª 2009 The Authors Journal compilation ª 2009 Blackwell Publishing Ltd, The Plant Journal, (2009), 58, 220–234 230 Doug K. Allen et al. for over 100% of biosynthetic ATP demand (Alonso et al., 2007). Thus the importance of the TCA cycle in providing ATP in different oilseeds is inversely related to the availability of, and the capacity to harness, light. Soybean embryos exhibit a significant exchange flux through isocitrate dehydrogenase, which is conventionally thought to be an irreversible step. This reversibility has been observed in developing rapeseed embryos (Schwender et al., 2006) where a large demand for acetyl groups involved in fatty acid elongation in the cytosol result in a substantial flux of citrate out of the mitochondrion and a net flux from alpha ketoglutarate to citrate. This is not the case in soybean embryos, and the net flux through isocitrate dehydrogenase is in the direction of decarboxylation (Figure 6 and Table 1). Additional technical considerations on the metabolic flux analysis and the potential limitations that arise in its application to this system are given in Supplements S5 and S6. Experimental procedures Chemicals [U-13C6]-glucose, [U-13C5]-glutamine, as well as [U-14C4]-asparagine (208 mCi mmol)1) radioisotope were purchased from Sigma (http:// www.sigmaaldrich.com/) and [U-14C12]-sucrose (495 mCi mmol)1), [U-14C6]-glucose (245 mCi mmol)1), [U-14C5]-glutamine (219 mCi mmol)1) from Amersham Biosciences (http:// www5.amershambiosciences.com/). using gas chromatography-flame ionization detection (GC-FID), GCMS, and NMR as previously described (Allen et al., 2007; and Supplement S7). Briefly, oil was quantified as FAMEs using GC-FID, proteinaceous amino acid levels were determined using a combination of C:N analysis and HPLC-based amino acid analysis, with the remaining biomass dry weight was presumed to be carbohydrates. Depletion of carbon and nitrogen sources from the medium was determined using NMR to compare the medium before and after culturing using gallic acid as an internal standard (for more details see Supplement S7 and Allen et al., 2007). Production of CO2 was measured by trapping and counting 14CO2 produced during a 5-day experiment in which all organic substrates were labeled to the same specific activity, as described previously (Goffman et al., 2005). Analysis of labeling 14 C levels were analyzed by scintillation counting following the isolation of metabolic products. Protein amino acids were hydrolyzed from biomass under vacuum at 110C in the presence of 6N HCl, extracted in 20 mM HCl and run with standards on HPLC (Supplement S7). For 13C labeling protein amino acids and organic acids were converted to their tert-butyl-dimethylsilyl derivatives and analyzed with GC-MS as were butylamide derivatives of fatty acids from triacylglycerol (Allen et al., 2007). Starch and cell walls were hydrolyzed using amylase/amuloglucosidase or trifluoroacetic acid (TFA), respectively to monosaccharides that were peracetylated before GC-MS, or converted to the monoacetone glucose derivative and evaluated via NMR as described in Allen et al. (2007). Gas exchange measurements Greenhouse cultivation and embryo culturing of soybeans with labeled organic substrates has been previously described (Allen et al., 2007; see Supplement S7) . For 14CO2 labeling experiments, unlabeled culture medium was prepared and 14CO2 was released by addition of HCl to a vial of NaH14CO3 in the flask. Flasks were sealed with air-tight closures containing septa. Harvested embryos were rinsed, dried and stored at )20C until analysis. Cultures were grown in 7.5 ml of medium in 120-ml serum bottles resting on their sides. Five cultures were incubated in each of four light conditions (0, 5, 30, and 100 lmol m)2 s)1. Embryos were grown for 3 days in unsealed bottles, after which the medium was replaced and bottles were sealed. Oxygen levels in headspace samples were measured after 3 or 5 days using GC-MS. The mass spectrometer (Agilent MSD 5975, http://www.agilent.com/) was sensitively tuned for low molecular weight measurement using water, oxygen, and argon in air by adjusting repeller and electron voltages and the atomic mass unit gain and offset. Argon was used as an internal standard to adjust for small system leaks, temperature, pressure, and loading differences. Oxygen consumption was confirmed independently using a paramagnetic oxygen analyzer. From the flask cultures, 0.1 ml of the headspace gas was withdrawn and analyzed for oxygen and CO2 using, respectively, a paramagnetic O2 detector (Series 1100, Servomex Co., http://www.servomex.com/) and an infrared CO2 detector (ADC 255-MK3, Analytical Development Co.) connected in series with N2 as a carrier gas with a flow rate of 100 ml min)1 (Lakakul et al., 1999). The oxygen and CO2 concentrations were calculated relative to a certified gas standard (Matheson Gas Products, http://www.matheson-trigas.com/) containing 0.979 lLL)1 ethylene, 4.85% CO2, and 1.95% O2 balanced with N2 as previously described (Mir et al., 2001). Carbon dioxide measurements by IRGA were used to verify the 14CO2 trapping measurements described above. Substrate uptake and product formation rates Flux modeling Oil, alcohol soluble extracts, protein, and starch were extracted successively from cultured embryos and prepared and analyzed Direct flux measurements of substrate uptake and biomass and CO2 production rates and labeling data from separate [U-13C6]-glucose Light levels and transmission Sunlight and the effect of the leaf canopy were measured using a quantum meter (QMSS, Apogee Instruments, http://www. apogee-inst.com/) at midday during the soybean growing season with plants at the R5–R5.5 reproductive stage of development near East Lansing, MI. Silique, pod, and seed transmission spectra were recorded with a S2000 fiber optic spectrometer (Ocean Optics, http://www.oceanoptics.com/), using a probe source and tungsten lamp with a paper diffuser. Spectra were measured by placing the sample tissue immediately before a 300-lm optical fiber. Plant material and culturing conditions ª 2009 The Authors Journal compilation ª 2009 Blackwell Publishing Ltd, The Plant Journal, (2009), 58, 220–234 Role of light in soybean seed filling metabolism 231 and [U-13C5]-glutamine experiments were fitted to a stoichiometric steady-state model (Supplement S8), employing the cumomer formalism (Wiechert et al., 1999; Wiechert and Wurzel, 2001). The analysis of fluxes in steady-state MFA relies on ‘retrobiosynthesis’ (Szyperski, 1995, 1998) whereby labeling in products is used to infer labeling in metabolic intermediates in the steady state. Here the amino acids of protein, organic acids, fatty acids of triacylglycerol, and monosaccharides of starch and cell walls were analyzed. Measuring substrate uptake rates and product synthesis rates, together with isotopomer mass balancing of intermediates, allows for flux and sensitivity estimation. Models were generated on PC machines using the 13CFLUX suite of software provided by W. Wiechert, Department of Simulation, University of Siegen, Germany (Wiechert et al., 2001 and references therein), and run in the Linux environment (Supplement S8). Best estimates for fluxes were obtained by using Donlp2 (a sequential quadratic programming optimizer; Spellucci, 1998) to minimize the difference between simulated and experimental measurements by varying the flux values while maintaining stoichiometric constraints. Optimizations were initiated from random starting values for the free flux variables that were constrained to be within the feasible solution space (Schuster and Schuster, 1993). Initial, randomly generated starting points, many of which lie outside of the feasible space, were orthogonally projected to the nearest feasible point using the lsqlin function in Matlab and supplying the stoichiometric, equality, and inequality constraints as matrix inputs to generate 600 feasible starting points. Statistical analysis Though all experiments were replicated at least three times and additional technical replicates were made to verify measurement precision, triplicate sampling falls far short of the 30 samplings required to reliably estimate the standard deviation of a population. Moreover, the measurements were modeled independently as three separate models. This makes the sample SD unsuitable for use in weighting input measurements for modeling. Therefore, model simulations were performed by assigning a 1% error to each of the GC-MS and NMR label measurements. A 1% error was chosen by considering the measured differences among multiple MS signals containing the same metabolite or fragment (e.g. M-85 and M-159) similar to previous findings (McKinlay et al., 2007). A 1% error was a conservative estimate compared with standards corrected for natural abundance (Antoniewicz et al., 2007, and our unpublished results). For several compounds, the correction for naturally occurring heavy isotopes resulted in potential errors of over 1%. In these cases the actual error measured for the standard was used if it was less than 3%, while no data were used from compounds or fragments for which the standards failed to correct to within 3%. Similarly, measurements of fluxes into amino acid synthesis were modeled with a 2.5% error because this allowed for the individual modeling of each of three sets of fluxes, and is consistent with the potential inaccuracies involved in amino acid analysis, while the GC-FID measurements of flux to oil were used to constrain each of the three models. Substrate uptake and gas exchange measurements were used directly in model evaluation. The [U-13C5]-glutamine and [U-13C6]-glucose labeling experimental replicate datasets were randomly paired and used for fitting. The differences among the resulting three sets of optimized fluxes reflect combined biological variability, technical precision in the measurements, and the optimization process giving 90% confidence intervals for each parameter (Figure 5, Table 1). Acknowledgements The authors gratefully acknowledge: Dr Dan Jones and Beverly Chamberlin (MSU Mass Spectrometry Facility), Dr Daniel Holmes (Max T Rogers NMR Facility), Dr Joe Leykam (Macromolecular Structure, Sequencing and Synthesis Facility), William Cook (Duke Environmental Stable Isotope Laboratory), Dr Randy Beaudry (Postharvest Biology and Technology Lab, MSU, IRGA/O2 paramagnetic analysis), and Dr Denis Proshlyakov (optic spectroscopy) for help with instrumentation; Drs Mike Pollard, Igor Libourel, Jörg Schwender, and Ana Alonso for valuable discussions; Dr Hart Poskar for Perl script programming; the Michigan Soybean Promotion Committee, Biotechnology Research and Development Corporation, USDA grant 2006-35318-16661, the DOE Great Lakes Bioenergy Research Center and DOE contract DE-FG02-87ER13729 for financial support. Additionally the authors thank the editor and anonymous referees for helpful comments and suggestions that have improved the manuscript. Supporting Information Additional Supporting Information may be found in the online version of this article: Supplement S1. Biomass composition and 13C labeling results. Figure S1a. Amino acid profile of soybean embryo storage protein. Figure S1b. Fatty acid profile of soybean embryo triacylglycerol. Figure S1c. Starch labeling from [U-13C5]-glutamine experiment. Figure S1d. Cell wall, protein glycan, and starch labeling for [U-13C6]-glucose experiment. Table S1a. Biomass accumulation in soybean embryos. Table S1b. Free and protein amino acid average labeling data. Table S1c. 13C isotopomer abundances for [U-13C5]-glutamine and glucose labeling experiments measured by GC-MS. Table S1d. 13C enrichments and bond connectivity for [U-13C5]glutamine and glucose labeling experiments measured by NMR. Supplement S2. Redox balance of seed metabolism. Figure S2a. Redox state of glutamine. Table S2a. Amino acid redox/oxidation states in soybeans. Table S2b. Oxidation state for soybean storage triacylglycerol. Supplement S3. The ATP calculations. Table S3a. The ATP polymerization events. Table S3b. Redox requirements for biosynthesis of amino acids from primary metabolism using imported glutamine and asparagine. Supplement S4. The oxidative pentosephosphate pathway (OPPP) versus the Calvin/TCA cycle. Figure S4a. Flux map with the oxidative pentosephosphate pathway (OPPP). Figure S4b. Flux map with TCA cycle. Supplement S5. Flux analysis in complex systems. Supplement S6. Potential limitations of using metabolic flux analysis (MFA) to analyze plant tissues. Supplement S7. Extended experimental procedures. Supplement S8. Metabolic network. Please note: Wiley-Blackwell are not responsible for the content or functionality of any supporting materials supplied by the authors. Any queries (other than missing material) should be directed to the corresponding author for the article. References Allen, J.F. 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