Modeling central metabolism and energy biosynthesis across microbial life
© The Author(s). 2016
Received: 27 October 2015
Accepted: 6 July 2016
Published: 8 August 2016
Automatically generated bacterial metabolic models, and even some curated models, lack accuracy in predicting energy yields due to poor representation of key pathways in energy biosynthesis and the electron transport chain (ETC). Further compounding the problem, complex interlinking pathways in genome-scale metabolic models, and the need for extensive gapfilling to support complex biomass reactions, often results in predicting unrealistic yields or unrealistic physiological flux profiles.
To overcome this challenge, we developed methods and tools (http://coremodels.mcs.anl.gov) to build high quality core metabolic models (CMM) representing accurate energy biosynthesis based on a well studied, phylogenetically diverse set of model organisms. We compare these models to explore the variability of core pathways across all microbial life, and by analyzing the ability of our core models to synthesize ATP and essential biomass precursors, we evaluate the extent to which the core metabolic pathways and functional ETCs are known for all microbes. 6,600 (80 %) of our models were found to have some type of aerobic ETC, whereas 5,100 (62 %) have an anaerobic ETC, and 1,279 (15 %) do not have any ETC. Using our manually curated ETC and energy biosynthesis pathways with no gapfilling at all, we predict accurate ATP yields for nearly 5586 (70 %) of the models under aerobic and anaerobic growth conditions. This study revealed gaps in our knowledge of the central pathways that result in 2,495 (30 %) CMMs being unable to produce ATP under any of the tested conditions. We then established a methodology for the systematic identification and correction of inconsistent annotations using core metabolic models coupled with phylogenetic analysis.
We predict accurate energy yields based on our improved annotations in energy biosynthesis pathways and the implementation of diverse ETC reactions across the microbial tree of life. We highlighted missing annotations that were essential to energy biosynthesis in our models. We examine the diversity of these pathways across all microbial life and enable the scientific community to explore the analyses generated from this large-scale analysis of over 8000 microbial genomes.
One of the most important elements of an organism’s biochemistry is its ability to produce energy in the form of ATP from nutrients in the environment under a wide variety of environmental conditions. Energy production pathways are of fundamental importance because these pathways define much of the behavior of a microbe and have the greatest impact on the quantitative prediction of biomass and metabolite production yields . Cellular energy generation in microbes is a crucial aspect of metabolic modeling, which depends on environmental factors such as carbon source, electron donor, fermentation capability, presence of electron acceptors, and variations in the electron transport chain (ETC).
Metabolic models provide a valuable means for simulating and understanding energy metabolism based on annotated genome sequences . Recently, tools such as the Model SEED [3–5] have emerged to automate the generation of draft metabolic models to keep pace with the ever growing set of sequenced genomes. However, automatically reconstructed models, and even some curated models, struggle to represent energy biosynthesis accurately primarily for three reasons: (1) genome-scale models integrate complex interweaving pathways that, when under-constrained, can interact to form routes for energy production that are not biologically meaningful or even physically feasible; (2) poor representation of complex and diverse bacterial ETCs and the key pathways related to energy production; and (3) these models often require extensive gapfilling  that can lead to the inclusion of some pathways that are not actually present in the species being modeled.
Results and discussion
Core model reconstructions and patterns in pathway co-occurrence
Although the pathways included in CMMs are fundamental to energy generation, not all pathways are present in every genome. Individual pathways were annotated as present in as few as 106 (e.g. acetone fermentation) and as many as 6,694 (e.g. lactate fermentation) genomes. We examined pairwise relationships among all pathways present in CMMs in order to understand variation in core metabolism across this diverse set of microorganisms. In this analysis, we filtered out 4062 CMMs from our dataset because their associated genomes were overly close phylogenetically to other CMMs (many mapped to different versions of genomes with the same taxon ID). We found an overall pattern of positive co-occurrence (88 % of co-occurrences were positive; Fig. 2) among pathways suggesting that core metabolism is diverse, yet consists of a set of interdependent sub-modules. Once we controlled this analysis for CMM size (see Methods), we found slightly fewer positive co-occurrences, with small CMMs having 62 % positive co-occurrences, medium CMMs having 71 % positive co-occurrences, and large CMMs having 79 % positive co-occurrences. We found little evidence to support the idea of substrate competition among pathways , regardless of CMM size, despite many fermentation pathways deriving from the same substrate. To the contrary, the two strongest positive correlations were between pairs of pathways that branched from a single substrate: the butanol and butyrate pathways (r2 = 0.76; Fig. 2) and the acetate and ethanol pathways (r2 = 0.59; Fig. 2). Fermentation pathways deriving from the same substrate tended to have strong positive relationships among themselves and also tended to respond similarly to the presence or absence of other pathways (Fig. 2).
Seven negative relationships between pathways were identified, with five of these being consistent across CMM size classes. These consistent negative co-occurrences may represent physiological trade-offs between adaptation toward maximizing biomass yield and growth rate. A yield versus growth rate trade-off has been previously suggested [9, 10], and is supported by the multiple negative relationships with the Entner-Doudoroff (ED) pathway observed here. For example, we found a negative correlation between ED and glycolysis. ED is found in a wide range of genomes, despite having a lower ATP production efficiency . Meanwhile, glycolysis is more efficient with twice the ATP yield, but it incurs a greater enzymatic cost , potentially leading to slower growth than ED (Fig. 2, Additional file 1: Figure S1). ED also had non-positive relationships with fermentation pathways containing three or more reactions (Fig. 2). These longer fermentation pathways were found primarily in fermentative anaerobes expected to grow under energy-limited conditions, which have been shown to favour energy-efficient glycolysis . In these organisms, continued selection pressure for maximizing ATP production may have led to an overall negative relationship between these fermentation pathways and ED.
ETC variations, predictions and ATP yield in core models
Fermentation is an essential process for obligate anaerobes to produce ATP and for many facultative anaerobes, which use it to produce ATP when suitable exogenous electron acceptors are not present. It is also important for metabolic engineering applications, as it is a primary means of producing many biofuel molecules. Analysis of CMMs for the ability to produce fermentation products showed that obligate anaerobes and facultative anaerobes are able to use a variety of fermentation pathways when oxidizing sugars under anaerobic conditions. For example, FBA simulations of a taxonomically diverse set of organisms including facultative anaerobes and anaerobes grown in glucose solely by fermentation, show ATP yields around 2 mmol ATP/mmol of glucose for wide range of bacteria [1, 17] (Fig. 3, Additional file 2: Table S5). In our analysis we found that fermentation pathways, including formation of formate, ethanol, and acetate, are conserved in the classes Bacilli and alpha, gamma and beta preoteobacteria (Additional file 1: Figure S3). 91 % of acetate, 93 % of ethanol and 84 % of formate producing pathways are present in models belonging to one of those four classes. Volatile fermentation products such as acetone, butyrate, butanol, and 2,3 butanediol (BDOH) are conserved mostly in organisms belonging to the Bacilli and Clostridia classes. A complete list of FBA results from these simulations can be found in Additional file 2: Table S5. A complete list of the organisms and the presence and absence of fermentation pathways can be found in Additional file 2: Table S4.
Coverage of the core model template
Our reconstruction of CMMs for over 8000 microbial genomes provides a means of evaluating the extent to which the annotations and biochemistry comprising our core-model template are sufficient to capture at least one of the energy biosynthesis strategies for each sequenced organism used in this study. To conduct this evaluation, we simulated FBA on all CMMs in seven media conditions using ATP production as the OF. Our analysis shows that about 6,600 (80 %) of the CMMs have some type of aerobic electron transport chain (ETC), whereas about 5,100 (62 %) have an anaerobic ETC; and 1,279 (15 %) of CMMs do not have any ETC. Furthermore, we see that 5,291 models (65 %) were able to produce ATP in glucose minimal media aerobically, while up to 61 % of the CMMs were able to produce ATP with each of the alternate electron acceptors (AEA) examined here. 4,440 (54 %) CMMs were able to grow solely by fermentation when no electron acceptors were present. If AEAs were present in the medium, then CMMs with ETCs tended to use anaerobic ETCs via reduction of the terminal AEAs. This study demonstrates that using CMMs in standard FBA while maximizing energy production can produce accurate predictions for a wide range of organisms.
In our gapfilling analysis, we found that over 1000 organisms were missing an annotation for the anaplerotic reaction “Pyruvate carboxylase (EC 22.214.171.124)” that is required to supplement oxaloacetate during glucose oxidation in Gram positive bacteria . Among heavily gapfilled models, many of the organisms that were identified belonged to genera known for either parasitic or pathogenic lifestyles including Streptococcus, Clostridium, Lactobacillus, Bifidobacterium, Enterococcus, Helicobacter, and Campylobacter as well as more apparently parasitic bacteria with small genomes in the genera Rickettsia, Ureaplasma, Borrelia, Chlamydia, Treponema and Mycoplasma [22, 23] (Additional file 2: Table S7). These organisms lack the ability to synthesise a range of intermediates in central metabolic pathways, primarily in the TCA cycle, which prevent their growth in glucose. In addition, this analysis was able to capture the reactions and metabolites that are absent in these organisms due to a loss of genes in glycolysis, pentose phosphate pathway, and the TCA cycle, which are the key precursors for synthesis of amino acids, vitamins, cofactors and lipids  (Additional file 1: Figure S1). We suggest that this type of analysis is useful in screening likely parasitic organisms. A complete list of organisms and their gapfilling analysis is available in Additional file 2: Table S7.
Exploration and analysis of CMM pathways in a phylogenetic context
We explored the potential presence of annotation inconsistencies in our models by examining CMM biochemical pathways within a phylogenetic context (Fig. 2, Additional file 1: Figure S4). We found that missing or incorrect annotations can be systematically recognized and fixed with high accuracy when genome annotations are analysed in the context of biochemical pathways. Having the ability to visualize these pathways with respect to phylogenetic relationships (Additional file 1: Figures S4 and S5), annotators can see the propagation of incorrectly annotated pathways in closely related genomes in order to correct them. We also demonstrate the value of focusing on the most well curated pathways first, as with these pathways errors may be more easily separated from novel biology.
In our analysis we identified multiple missing or incorrect annotations including transporter genes, key genes in central metabolism and fermentation pathways. For instance, through our analysis we noticed an aerobic ETC present in obligate anaerobes belonging to the genus Bacteroides. This error was due to an incorrectly annotated “ubiquinol cytochrome oxidase” gene throughout this genus. Usually ubiquinol-based cytochrome oxidases could not be found in obligate anaerobes. We corrected this issue in our models. Additionally, we improved the specificity of our annotations where appropriate, such as “cytochrome O ubiquinol oxidase subunit IV (EC 1.10.3.-)” instead of “ubiquinol cytochrome oxidase”. We then integrated these new more-specific functions into our template. We also noticed that the genus Acinetobacter does not appear to have functional glycolysis or ED pathways for the degradation of glucose, yet previous studies have suggested that many Acinetobacter species are able to utilize the ED pathway for oxidization of glucose [24, 25]. We found that all enzymes in the ED pathway are consistently annotated in Acinetobacter except for the enzyme “Gluconolactonase 126.96.36.199”. This apparent inconsistency may in fact be biologically accurate, because the reaction catalysed by this enzyme has been shown to occur spontaneously, and thus the enzyme may not be necessary in every organism containing the broader pathway .
It has been known that some members of Streptococcus produce formate during fermentation , yet no annotations representing formate transporters were found within the Streptococcus genus. We also identified key missing gene-protein reaction associations within the CMM template, such as Polyphosphate glucokinase (EC 188.8.131.52), a gene that is abundant in many Actinobacteria . Annotation inconsistencies can be a result of multiple factors including poorly sequenced areas of the genomes, assembly errors, and missed or incorrectly assigned annotations. Through this study we also determined that the genome annotations associated with important reducing reactions for iron, chromium, sulphur, and sulphur derivatives are either not present or not fully propagated among the RAST annotated genomes. In RAST, the consistent propagation of functional annotations is driven by the creation, curation, and maintenance of annotation subsystems . Often, when a subsystem is missing, this is due to a lack of literature data required to accurately assign constituent functions across a diverse set of microbial genera. Proper annotation of these reducing reactions will ultimately permit the prediction of at least one energy production strategy for additional organisms, further improving the coverage of energy production by our CMMs. The approach we used in this study to explore and identify inconsistent or missing annotations in our CMMs by evaluating the coverage of our core model template, comparative analysis of complete biochemical pathways across the microbial tree of life, and gapfilling analysis all represent promising routes to producing consistent annotations.
Here we present CMMs and comparative analysis for over 8,000 completely sequenced genomes in diverse phylogenetic groups that are derived from a manually curated core model template. Unlike the complexity of genome scale models, CMMs are simpler, offering a quick and accurate way of determining: (i) respiration type(s) (Additional file 1: Figure S5 and Additional file 2: Table S8) and ATP yield predictions (Fig. 3), (ii) electron acceptors that can be reduced during anaerobic respiration (Additional file 2: Table S5), (iii) ability to produce useful fermentation products (Additional file 1: Figure S3 and Additional file 2: Table S4), (iv) presence/absence of functional pathways in central metabolism (Additional file 1: Figure S4 and Additional file 2: Table S4) and (v) evaluate ability to produce key pathway intermediates in central metabolism which are precursors of essential biomass compounds (Additional file 2: Table S7). Having integrated a set of highly curated reactions that represent ETCs, fermentation, and central metabolic pathways, CMMs are able to predict ATP yield variations under aerobic and anaerobic conditions mediated by anaerobic electron acceptors present in the growth medium (Fig. 3) [18, 30]. Using glucose or glycerol as the sole carbon source, we found ~30 % (2,495) of the genomes (Additional file 2: Table S6) used in this study could not be simulated to produce ATP solely based on existing RAST annotations due to incomplete or missing annotations that mapped to reactions comprising the energy producing pathways and ETCs. A major piece of missing ETCs consisted of key reducing reactions for inorganic electron acceptors including iron, chromium, and sulphur that are not consistently annotated across the prokaryotic tree of life. Annotation inconsistencies and missing annotations identified in this study evaluate the quality of RAST annotations and highlight the areas where more attention is needed. Metabolic pathway determination data (Additional file 2: Table S4) and respiration type determinations (Additional file 2: Table S8) are a valuable resource in recognizing inconsistent annotations across the tree of life, even at short phylogenetic distances. Using pathway determinations we identified patterns in pathway co-occurrence and identified potential physiological trade-offs that may influence the ability of organisms to maintain individual central metabolic pathways (Fig. 2). While these tools and analyses were developed specifically to examine central metabolism, the approach is easily scalable to consider the entire metabolic network or other subsets of metabolism of interest enabling researches to address specific research goals.
Core model reconstruction pipeline
CMMs were built on the previously developed metabolic modeling tool Model SEED , where the model construction pipeline begins with gene annotations of microbial genomes provided by RAST . This combined use of RAST annotation and Model SEED reconstruction results in high-quality genome annotations, enzyme identification, reaction network assembly, and thermodynamic analysis of reaction reversibility. Our reconstructions of CMMs were achieved by creating a “core model template” (CMT), which consists of a highly curated set of biochemical reactions derived from a well-studied, phylogenetically diverse set of model organisms including E. coli, B. subtilis, Pseudomonas aeroginosa, Clostridium acetobutylicum, and Paracococcus denitrificans [1, 17, 31–35].
In total, we selected ~200 unique reactions (Additional file 2: Table S3) comprising glucose oxidation pathways (glycolysis, ED, TCA cycle, and pentose phosphate pathway) and fermentation pathways (producing end products: lactate, acetate, formate, ethanol, 2,3-butanediol, butyrate, butanol, and acetone) linked directly to central carbon metabolism  (Additional file 1: Figure S1) as well as variations in bacterial ETCs [37–46]. These pathways were chosen because they are found across a phylogenetically diverse group of organisms and are relatively well studied and consistently annotated in RAST. We excluded some ETC variants known to be important to energy biosynthesis in some organisms (e.g. sulphate reduction pathways) because they were either not broadly distributed or not consistently annotated by RAST. Absence of these variations of ETCs may result in an inflated number of organisms unable to grow in our FBA simulations due to exclusion of these pathways of known importance, resulting in a conservative estimate of CMM coverage.
In the initial step of the pipeline, genome annotations generated by RAST are applied in combination with our CMT to generate a set of gene protein-reaction (GPR) associations used to reconstruct each CMM (Additional file 2: Table S2). This automated reconstruction process is explained in detail in Henry, DeJongh et al. (2010). The paired CMT and GPR associations were then applied to build CMMs for 8,179 genomes using the Model SEED model construction service. This service has recently been made publicly available for users through KBase (www.kbase.us) services, which was built, in part, from RAST and Model SEED. The core metabolic model construction pipeline with supporting commentary can be accessed through KBase Narrative interface at https://narrative.kbase.us/narrative/ws.15253.obj.1. The reconstruction of all models was completed in less than 24 h. It is important to note the flexibility of the model construction process. In this study we designed a CMT supported by RAST annotations, yet additional templates may be constructed based on other annotation databases with their own annotation ontologies. These templates can then be used to construct metabolic models specifically tailored to address unique research goals.
Metabolic models generally require an OF  that is optimized during flux balance analysis to predict flux profiles. In our CMMs, we explored two OFs: a biomass biosynthesis objective function and an ATP hydrolysis objective function. While CMMs do not include the amino acids, nucleotides, lipids, and cofactors that are typically included in the biomass biosynthesis objective function of genome-scale models, they do include the central carbon precursor metabolites for these compounds. Thus the biomass biosynthesis OF for our CMMs was constructed based on the biomass precursor stoichiometry derived by Varma and Parlsson  and used in one of the earliest models of E. coli [48, 49] (Additional file 1: Figure S1). Coefficient values for NADPH and Erythrose-4-Phosphate have been modified in our OF from the original source material (Additional file 2: Table S12). When analysing CMMs using the biomass biosynthesis OF, we found that occasionally gapfilling was required to enable synthesis of all essential biomass precursors (Fig. 4). To permit a focused study of energy biosynthesis in our models without gapfilling, we developed a second OF for our CMMs consisting only of the ATP hydrolysis reaction: ATP + H2O - > ADP + Pi + H+. Using this OF, we computed ATP production yields in all models without any gapfilling; hence, these computations were based solely on reactions derived from existing RAST annotations.
Integration of electron transport chains into core models
Many current metabolic models have a simplified version of ETC, lacking representation of multiple steps of proton pumping reactions or lacking reactions that are related to the reduction of anaerobic electron acceptors (e.g. nitrate, dimethyl solfuxide) resulting in inaccurate prediction of ATP production. These issues persist because of difficulties integrating ETCs into models. In designing ETCs for the CMMs, we incorporated well-studied variations of ETCs in model organisms that were supported by consistent RAST annotations, and we integrated these variations into our CMT (Additional file 2: Table S3). This CMT includes new GPR associations for ETCs to facilitate diverse proton pumping reactions, terminal electron acceptor reducing reactions, and key fermentation pathways, which increased the accuracy of the ATP yield predictions (Fig. 3). As more consistent annotations become available representing a broader range of ETC variations, those GPR associations will be added to our template to expand the coverage of ETC by our CMMs. Organisms that contain at least one type of respiration chain are classified as aerobic or anaerobic, while organisms that contain both aerobic and anaerobic respiration chains are classified as facultative (Additional file 1: Figure S5 and Additional file 2: Table S8).
Pathway determination in central metabolism
One of the key advantages of metabolic models is the ability to predict phenotypes based solely on genomic sequence. We have examined microbial phenotypes through comparative analysis of the presence or absence of 12 key energy biosynthesis-related pathways (Fig. 2) and respiration types (Additional file 1: Figure S2 and Additional file 2: Table S8). We developed a set of Boolean rules to determine the presence and absence of each pathway based on reactions present in the CMM. The Boolean rules allow for alternative reactions within an individual step of each pathway, but every step of each pathway must be annotated in order for the pathway to be classified as present. Next, we organized all CMMs by their taxonomic groups against pathway presence and absence data (Fig. 2). Taxonomic groups that are displayed in the horizontal axis of Fig. 2 were sorted sequentially as they appear in a 16S rRNA based phylogenetic tree (see Generation of Phylogenetic Trees and Pathway Visualization). As a result, we were able to analyse the distribution patterns of these key pathways among major phylogenetic groups.
Pairwise comparisons of the presence or absence of individual pathways were conducted using the Hmisc  and corrgram  packages in R  version 2.15.1 to examine pathway co-occurrence patterns across CMMs. Co-occurrence analysis was performed after the removal of models associated with identical 16S sequences from the dataset; this criterion was applied strictly, with only one representative model selected for each sequence analysed (n = 4117). To control for the increased likelihood of positive co-occurrences with larger CMM size, all analysis were performed on three size classes: small (<93 reactions, n = 1353), medium (93-133 reactions, n = 1416), and large (>133 reactions, n = 1348), as well as the entire non-redundant dataset. Boolean vectors containing presence/absence information for each of the 12 key energy biosynthesis pathways was used to examine the diversity of pathway combinations present within the CMMs. Pathway presence and absence data is included for all CMMs in Additional file 2: Table S4.
Generation of phylogenetic trees and pathway visualization
We constructed a phylogenetic tree for all CMM genomes using the SEED server tools . Specifically, we extracted all copies of 16S ribosomal RNA sequences from the complete list of 8,179 genomes. This was done by blasting these genome contigs against a curated database of 92 diverse 16S references. For each genome, the matched sequence with the best bit score was kept (8 genomes were removed because they did not produce a 16S hit that passed the quality threshold). The remaining sequences were aligned using the MAFFT aligner  and a phylogenetic tree was built using the FastTree2 program . The resulting phylogenetic tree was collapsed at an evolutionary distance of 0.01 under the general time-reversible model of nucleotide evolution. That is, for each maximal subtree where all the pairwise leaf distances are below 0.01, the leaf that corresponds to the genome with the highest sequence quality (based on assembly and annotation metrics) in the group was chosen to represent the subtree. This process is akin to clustering genomes into operational taxonomic units (OTU98.5) and resulted in a representative tree of 1,864 genomes.
We then mapped presence/absence information of subsets of the key pathways to each genome as a Boolean vector (e.g., “Glycolysis: yes, Gluconeogenesis: no, Entner-Doudoroff: yes” or Aerobic: yes, Anaerobic: yes, Facultative: yes) and drew circular trees using the iTOL tree visualization tool . The tree branches are color coded by the pathway vector, and the leaves are labeled by species names at the outer ring (Additional file 1: Figures S4 and Figure S5). The visual juxtaposition of species phylogeny and their core pathway profiles (reflected in the figures as color changes) allows visual discernment of metabolic diversity across the tree, as well as identifying potential annotation errors when the metabolic profile of a single genome varies distinctly from all close neighbors.
Tools for CMM comparison and analysis
We developed a web resource for exploring, comparing, and analysing our CMMs, called the Core Model Viewer (http://coremodels.mcs.anl.gov). In this tool, a list of models and links to associated genomes, media, and FBA results can be found under “Models”. Once on a model page, comprehensive tables of model reactions, compounds, gapfilled reactions, and ETC diagrams are made available. Tables of genome, media, and FBA data are organized similarly. For comparative analysis, a subset of FBA results can be selected from the models page and compared side-by-side on a heat-map (Additional file 1: Figure S6) or on metabolic pathway maps derived from KEGG [57, 58]. These tools permit the comparison of gene presence/absence, gapfilled reactions, FBA analyses, and ETC data for the selected models and enable researchers to further explore the models and results presented here.
AEA, alternate electron acceptors; BDOH, 2,3 butanediol; CMM, core metabolic models; CMT, core model template; ED pathway, Entner-Doudoroff pathway; ETC, electron transport chain; FBA, flux balance analysis; GPR, gene protein-reaction; OF, objective function; OTU, operational taxonomic units
This material was based upon work supported by the U.S. Department of Energy, Office of Biological and Environmental Research; under contract DE-AC02-06CH11357 as a part of the DOE Knowledgebase project, and by the National Science Foundation grant number MCB-1153357. We acknowledge the RAST annotation and development team for producing the annotations and computational infrastructure that make this work possible. We thank Gary Olsen for the insight provided on generating phylogenetic trees. We thank Matt DeJongh and Aaron Best for proofreading the manuscript and providing us with valuable feedback.
This material was based upon work supported by the U.S. Department of Energy, Office of Biological and Environmental Research; under contract DE-AC02-06CH11357 as a part of the DOE Knowledgebase project, and by the National Science Foundation grant number MCB-1153357.
Availability of data and material
The data sets supporting the results of this article are included within the article, in supplementary material submitted with the article and through the public website http://coremodels.mcs.anl.gov. The core metabolic model construction pipeline with supporting commentary can be accessed through KBase narrative interface at https://narrative.kbase.us/narrative/ws.15253.obj.1.
Phylogenetic data have been deposited to Dryad database and are accessible via the URL: http://dx.doi.org/10.5061/dryad.gs51v.
Additional supporting data are included as supplementary/additional files.
JNE, PW and CSH designed and executed the model generation and analysis with assistance from all other authors. JNE designed the model template and the media conditions for the analysis. NC contributed significantly to Core Model Viewer website development. RO contributed in determining linear pathways. FX contributed in generating phylogenetic trees and visualizing pathway data. RLS contributed to the design and staging of our modeling infrastructure. All authors contributed to the writing and revision of the manuscript. CSH conceived of and oversaw this project. All authors have read and approved the final manuscript.
The authors declare that they have no competing interests.
Consent for publication
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