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Journal of Bacteriology, August 2005, p. 5818-5830, Vol. 187, No. 16
0021-9193/05/$08.00+0 doi:10.1128/JB.187.16.5818-5830.2005
Copyright © 2005, American Society for Microbiology. All Rights Reserved.
Expanded Metabolic Reconstruction of Helicobacter pylori (iIT341 GSM/GPR): an In Silico Genome-Scale Characterization of Single- and Double-Deletion Mutants
Ines Thiele,
Thuy D. Vo,
Nathan D. Price, and
Bernhard Ø. Palsson*
Department of Bioengineering, University of California, San Diego, California
Received 14 December 2004/
Accepted 19 April 2005

ABSTRACT
Helicobacter pylori is a human gastric pathogen infecting almost
half of the world population. Herein, we present an updated
version of the metabolic reconstruction of
H. pylori strain
26695 based on the revised genome annotation and new experimental
data. This reconstruction,
iIT341 GSM/GPR, represents a detailed
review of the current literature about
H. pylori as it integrates
biochemical and genomic data in a comprehensive framework. In
total, it accounts for 341 metabolic genes, 476 intracellular
reactions, 78 exchange reactions, and 485 metabolites. Novel
features of
iIT341 GSM/GPR include (i) gene-protein-reaction
associations, (ii) elementally and charge-balanced reactions,
(iii) more accurate descriptions of isoprenoid and lipopolysaccharide
metabolism, and (iv) quantitative assessments of the supporting
data for each reaction. This metabolic reconstruction was used
to carry out in silico deletion studies to identify essential
and conditionally essential genes in
H. pylori. A total of 128
essential and 75 conditionally essential metabolic genes were
identified. Predicted growth phenotypes of single knockouts
were validated using published experimental data. In addition,
in silico double-deletion studies identified a total of 47 synthetic
lethal mutants involving 67 different metabolic genes in rich
medium.

INTRODUCTION
Helicobacter pylori is a human pathogen that is often associated
with gastric inflammation and peptic ulcer disease (
33). Interests
in studying this bacterium and its role in these diseases are
reflected by numerous biochemical and genetic studies (
14,
23,
27-
32,
36) and the sequenced genome (
44). In an effort to integrate
and reconcile these multiple data sources, an initial genome-scale
metabolic network of this bacterium was reconstructed 2 years
ago (
39). Since then, many new studies, including a revised
genome annotation (
1), have been reported and have significantly
enhanced the understanding of this pathogen. In order to account
for these new data and to improve the quality of the model,
we present here an updated and expanded reconstruction of the
H. pylori 26695 metabolic network, referred to as
iIT341 GSM/GPR.
This name was based on the convention introduced by Reed et
al. (
37), where the letter "
i" refers to an in silico strain,
"IT" is the initial of the principal author of the reconstruction,
and "341" is the number of genes included in the reconstruction.
Also, GSM stands for genome-scale model, and GPR stands for
gene-protein-reaction associations (
37).
In this study, every reaction was elementally and charge balanced and was assigned a confidence level. An accompanying metabolic map illustrates the connectivity among metabolites and reactions in the network (see Figure S1 in the supplemental data at http://gcrg.ucsd.edu/organisms/hpylori.html). This network was used to predict growth phenotypes of single-knockout mutants. Results of these predictions were validated with published experimental data. In addition, we identified potential conditional essential double-gene-deletion mutants and enzymatic reactions that are necessary for the production of each biomass constituent.

MATERIALS AND METHODS
Constraint-based modeling.
The reconstructed metabolic network was represented by a stoichiometric
matrix,
S (
m x n), where
m is the number of metabolites and
n is the number of reactions. Reactions within the network were
mass balanced such that
S ·
v = 0, where
v was a steady-state
flux vector (
9,
22). Additional constraints on each reaction
had the form
i
vi 
ß
i, where
i and ß
i represented
the lower and upper limits, respectively, of the corresponding
reaction flux.
i was set to zero for irreversible reactions,
whereas ß
i was set to measured uptake rates for transport
reactions or the
Vmax of the corresponding enzymes. The unit
for each reaction flux was defined to be mmol/h/g (dry weight),
in agreement with the typical unit of uptake rates and reaction
fluxes used for microorganisms (
8,
37). The growth rate was
therefore reported in units of 1/h.
Reconstruction of iIT341 GSM/GPR.
The previous metabolic network of H. pylori, here referred to as iCS291 (39), was used as a basis for the reconstruction of iIT341 GSM/GPR. Each gene and its associated reaction(s) in iCS291 were carefully curated and compared to the current biochemical and genomic data. Only reactions consistent with current data were retained from the previous reconstruction. These reactions were elementally and charge balanced before being included in iIT341 GSM/GPR. Reactions catalyzed by enzymes with putative gene assignments (1, 44) were also included. Reactions that did not agree with the most current data were either modified or omitted. Finally, we added reactions that were consistent with existing physiological data but for which no corresponding enzyme or loci have been found. We relied on information retrieved from the KEGG database (19, 20) for reactions gene products that have no specific biochemical characterization in H. pylori. The molecular formulas and charges for each metabolite in the model were determined based on a neutral intracellular pH (42). The reconstruction and functional analysis of iIT341 GSM/GPR were performed using the software package SimPheny (Genomatica Inc., San Diego, CA). A comprehensive list of all compounds and reactions of the metabolic network can be found in the supplemental material (http://gcrg.ucsd.edu/organisms/hpylori.html).
Medium composition.
The composition of the in silico media used in this study was adapted from that described by Schilling et al. (39) (Table 1). In order to determine the minimal medium needed by iIT341 GSM/GPR to fulfill the biomass requirement, each medium substrate was taken out of the rich medium containing all substrates for which corresponding transport systems had been defined. If the network was not capable of producing biomass without taking up a particular compound, that compound was deemed essential. The set of all essential compounds made up minimal medium I (Table 1). Minimal medium II contained D-glucose in addition to minimal medium I. Minimal medium III contained alternative carbon sources, which were also studied by Schilling et al. (39). Minimal medium IV contained all amino acids in addition to minimal medium III (Table 1). The uptake rates for protons and water were not constrained; the uptake rates of all other medium components were set to be maximally 20 mmol/h/g (dry weight). The oxygen uptake rate was set to be maximally 5 mmol/h/g (dry weight). These constraints were chosen arbitrarily, and they did not alter the observed growth phenotypes in single- and double-knockout deletions.
Deletion studies.
In each single-gene-deletion experiment, we removed any reaction(s)
associated with a particular gene from the network by constraining
the corresponding reaction flux values to zero and then maximizing
for growth. Gene deletion simulations that yielded a growth
rate of less than 10
6 mmol/h/g (dry weight) in the tested
medium were defined to be lethal. Each single-deletion experiment
was performed with five different in silico media (Table
1).
The reduction in growth rate upon deletion of a nonessential
gene was determined by normalizing the growth rate of the mutant
to that of the wild type in the same medium.
A double-deletion in silico experiment was performed by first identifying all reactions associated with two chosen genes and then setting the corresponding reaction fluxes to zero. Again, double-deletion mutants with growth rates less than 106 mmol/h/g (dry weight) in the tested medium were defined to be lethal. Double-deletion studies were carried out only in the rich medium, as the lethal double-knockout mutations found in this medium would also be lethal in the other media used in this study.
In this study, a gene was designated "essential" if its deletion resulted in a lethal mutation in all tested media. On the other hand, a "conditionally essential gene" was one whose deletion led to a lethal mutant in at least one medium but not in all. Last, we used the term "synthetic lethal genes" to describe pairs of genes whose double deletion rendered biomass production impossible but neither of whose single deletion affects cell viability.
Deletion studies on essential reactions for each biomass component.
We used the updated metabolic network to identify reactions that are necessary for the synthesis of each biomass constituent in H. pylori. This in silico experiment was carried out by sequentially removing every reaction from the network and then maximizing for the production of one biomass component at a time. A reaction was declared to be necessary with respect to a particular biomass component if the network was not able to produce that component in the absence of that reaction.
All calculations for this study were done using Matlab (Mathworks, Inc., Natick, MA), with Lindo (LINDO Systems Inc., Chicago, IL) as the linear-programming solver.

RESULTS
We present here an expanded genome-scale metabolic network of
H. pylori,
iIT341 GSM/GPR, reconstructed based on the previously
published network (
39), the revised genome annotation (
1), and
up-to-date biochemical and physiological data. Novel features
of
iIT341 GSM/GPR include (i) gene-protein-reaction associations,
(ii) elementally and charge-balanced reactions, (iii) more accurate
descriptions of isoprenoid and lipopolysaccharide metabolism,
and (iv) quantitative assessments of the supporting data for
each reaction. A detailed description of the network and a metabolic
map containing all network reactions can be found in the supplemental
data (see Table S2 and Figure S1 at
http://gcrg.ucsd.edu/organisms/hpylori.html).
Properties of the iIT341 GSM/GPR metabolic network.
The updated reconstruction of H. pylori, iIT341 GSM/GPR, accounts for 341 genes, 476 intracellular reactions, 78 exchange reactions, and 485 metabolites. Thus, this network includes 50 new gene loci, 88 new reactions, and 82 more metabolites than does iCS291 (Table 2). New gene loci were identified from careful searches of the literature and the PyloriGene database (created based on the revised genome annotation [1]). Most of the newly added reactions and metabolites resulted from introducing distinct steps for reactions that were lumped together in iCS291; examples are those in the lipopolysaccharide and isoprenoid pathways. After the existing data were reevaluated, five reactions present in iCS291 were completely removed and not included in iIT341 GSM/GPR. They included one enzymatic reaction (methionine synthase) and four transport reactions, for dipeptide, oligopeptide, polypeptide, and glycerol. The presence of the methionine synthase would enable the network to synthesize L-methionine, which was found to be an essential amino acid of H. pylori (34, 38). The transport reactions were removed because iIT341 GSM/GPR does not account for peptide metabolism, due to incomplete information about further peptide conversions in H. pylori.
Each reaction in
iIT341 GSM/GPR was assigned a confidence level
from 1 to 4 (see Table S2 in the supplemental data at
http://gcrg.ucsd.edu/organisms/hpylori.html)
to reflect the strength of the supporting data. The criteria
for assigning the confidence levels were designated as follows:
1, modeling purpose only; 2, sequence homology or physiological
data; 3, genetic or proteomic data; and 4, direct biochemical
data (
47). The average confidence level of the reactions in
iIT341 GSM/GPR is approximately 2.5.
A biomass equation is often used to represent all compounds that are thought to be required for the growth of an organism (45). In this study, the H. pylori biomass equation accounted for 52 metabolites (see Table S3 in the supplemental data at http://gcrg.ucsd.edu/organisms/hpylori.html). The fractional contribution of each of these compounds was adapted from the biomass composition of Escherichia coli (35), with exceptions for phospholipids (cardiolipin, phosphatidylethanolamine, phosphatidylglycerol, and phosphatidylserine) for which H. pylori-specific data were available (15). Thiamine, biotin, protoheme, and menaquinone were also included in the biomass equation, even though their fractional contributions to the biomass have not been measured. These compounds were assumed to have a fractional contribution of 6 x 106, which is equal to that of coenzyme A, the metabolite with one of the smallest fractional contributions in the biomass. Due to the nature of the linear-programming formulation, these assumed values may marginally affect the growth rate, but they usually do not change the result of a deletion experiment (46).
All metabolic pathways in the reconstruction were grouped into six different subsystems: central metabolism, amino acid metabolism, vitamin and cofactors, cell wall, nucleotide metabolism, and other (see Table S7 in the supplemental data at http://gcrg.ucsd.edu/organisms/hpylori.html). Analyses of gene distribution over subsystems showed that most genes can be found in the central metabolism subsystem (88 genes), followed by the vitamin and cofactor (62 genes) and the cell wall metabolism (60 genes) subsystems (Fig. 1A). The same scheme was employed to evaluate the distribution of reactions over subsystems (Fig. 1B). The vitamin and cofactor metabolism subsystem had the highest number of reactions (91 reactions). On the other hand, the central metabolism subsystem had the second-lowest number of reactions (61 reactions).
Identification and analysis of dead ends in iIT341 GSM/GPR.
Metabolites that are only consumed or only produced within the
metabolic network are referred to as "dead ends" (
37). Dead
ends usually represent missing knowledge about the underlying
biochemical pathways in an organism. Experimental analyses of
these dead ends can help identify new reactions and pathways
(
37). Moreover, compounds that are experimentally verified to
be dead ends are also useful in studying pathway evolution.
In particular, they may suggest that either a complete pathway
existed in some ancestral bacteria or that the associated gene
was recently acquired but the entire pathway has not been completed.
The complete version of
iIT341 GSM/GPR contains 48 dead-end
metabolites (see Table S4 in the supplemental data at
http://gcrg.ucsd.edu/organisms/hpylori.html).
In the following paragraph, we describe the inconsistent data
for one of these dead ends and our decision on how to resolve
it. A more detailed discussion of other dead ends can be found
in the supplemental data (see section 1 at the above-cited website).
The synthesis of biotin is well studied in various organisms. Pimelate, a biotin precursor, is converted to biotin in five steps (Fig. 2). The third step is carried out by the adenosylmethionine-8-amino-7-oxononanoate transaminase (EC 2.6.1.62; abbreviated AMAOTr) (Fig. 2), which converts 8-amino-7-oxononanoate (8aonn) to 7,8-diaminononanoate (dann) and S-adenosyl-4-methylthio-2-oxobutanoate (amob). Stoner et al. suggested that amob may undergo a spontaneous reaction with hydroxide ions under alkaline conditions to form 5'-methylthioadenosine and 2-oxobut-3-enoate (43). However, even if this reaction takes place in the cell, the further use of 2-oxobut-3-enoate by the metabolic network is not clear. Therefore, in order for the biosynthesis of biotin to be used in the network, we created a reversible artificial reaction (sink_amob) to allow the network to consume and produce amob freely.
Minimal medium requirement of iIT341 GSM/GPR.
The minimal medium reported for
iCS291 contained 12 metabolites
(
39). We tested
iIT341 GSM/GPR to see whether the changes introduced
in the updated model led to a different minimum set of required
substrates. We found that, in contrast to
iCS291, our model
did not require cysteine or inorganic sulfate. Cysteine and
methionine each contain a sulfur group that can be used by the
network to synthesize sulfur-containing compounds such as biotin.
Changes introduced in the methionine metabolism in
iIT341 GSM/GPR
enabled it to utilize methionine as a sulfate source (see section
1 in the supplemental data at
http://gcrg.ucsd.edu/organisms/hpylori.html for details). In total, the minimal medium for
iIT341 GSM/GPR
differed from that of
iCS291 by only three compounds:
L-phenylalanine
and sulfate (or
L-cysteine) were required only in
iCS291, and
pimelate was required only in
iIT341 GSM/GPR, due to the changed
biomass definition.
Single-deletion study: essential and conditionally essential genes.
The presence of a large fraction of essential genes in a particular medium implies that H. pylori is especially adapted to its environment and has only limited ability to tolerate environmental disturbances (e.g., substrate supply, acidity, or mutagenic agents). In this study, we evaluated the fraction of genes that were essential in the five specified media. Our model predicted that a high percentage, 60%, of the total genes in the model were either essential or conditionally essential in minimal medium I. The percentage of genes found to be essential or conditionally essential decreased with increasing complexity of the medium and was lowest, 37.5%, in rich medium (Fig. 3). Notably, approximately 30% of the gene deletions were predicted to have no effect on the growth rate relative to that of the wild type in the same medium. In total, 128 genes out of 341 were predicted to be essential in all media tested. Another 75 conditionally lethal mutants were also identified in minimal medium I.
In classifying genes and reactions into subsystems, we were
curious to see if a certain subsystem showed a larger number
of essential genes than did others. As expected, most of the
essential genes belong to two subsystems: cell wall (51 genes,
39%) and vitamin and cofactor (33 genes, 26%). The remaining
44 essential genes (45%) were distributed rather evenly among
the other subsystems (Fig.
4A). Closer examinations of the distribution
of conditionally essential mutations showed that a large number
of conditionally essential mutations can be found in the amino
acid (27%) and central metabolism (25%) subsystems, but only
few in the cell wall subsystem (4%) (Fig.
4B).
Validation of predicted single-deletion growth phenotypes with experimental data.
We used
iIT341 GSM/GPR to compute the essentiality of every
gene in the network and compared the results with reported experimental
data to assess the predictive capability of the model. Experimental
data were available for 72 out of 341 mutants for comparison
(Table
3). These experiments were usually carried out with rich
media containing an agar base with either horse or sheep blood
and antibiotics, but the detailed chemical compositions of the
media were not reported (Becton, Dickinson and Company, Franklin
Lakes, NJ). We therefore felt that it was most appropriate to
compare these data with our results with minimal medium IV and
with rich medium (Table
3). The model correctly predicted 73%
and 75% of gene deletion experiments for the 72 mutants when
compared to the results with minimal medium IV and rich medium,
respectively.
Predictive capability of iIT341 GSM/GPR compared to that of previous reconstruction iCS291.
To verify that
iIT341 GSM/GPR represents a more accurate description
of
H. pylori metabolism than does
iCS291, we quantitatively
evaluated its improvement on gene essentiality prediction. We
first identified common genes in both reconstructions for which
experimental gene essentiality data were available (Table
3).
Then, we applied the same medium conditions to both models to
calculate the effect of these genes on growth rates. In total,
iIT341 GSM/GPR predicted 44 out of 59 (75%) deletion experiments
correctly, while
iCS291 was correct only in 41 out of 59 cases
(69%); both results were with minimal medium IV. In rich medium
iIT341 GSM/GPR predicted 42 phenotypes (71%) correctly, while
iCS291 achieved only 37 (63%) correct predictions. Taken together,
these results show that
iIT341 GSM/GPR is more accurate at predicting
gene essentiality.
Analysis of false predictions.
The analysis of false predictions by the models is also informative and can be used to either update the model or reevaluate experimental data. For example, both models failed to predict the essentiality of HP1100 (6-phosphogluconate dehydratase [EDD]) and HP1099 (2-dehydro-3-deoxy-phosphogluconate aldolase [EDA]), which have been found essential by Chalker et al. (3). However, Wanken et al. were able to grow HP1100 mutants (49). The gene products of HP1100 and HP1109 are part of the Entner-Doudoroff pathway, which H. pylori can use as an alternative to the glycolytic pathway to metabolize D-glucose (25, 30). Other experimental observations (25, 31) also showed that H. pylori is not dependent on D-glucose as a carbon source. Our model predictions were found to be consistent with the last three studies mentioned.
In addition, our model did not predict HP0832 to be essential. Chalker et al. suggested that HP0020 (carboxynorspermidine decarboxylase) could replace HP0832 in catalyzing the last step of the spermidine biosynthesis pathway in H. pylori (3). However, HP0020 was not included in the reconstruction, since its function as spermidine synthetase (SPMS) was not confirmed experimentally. Last, in contrast to iCS291, our model did not correctly predict the essentiality of HP0808 (acyl carrier protein synthase [ACPS]). The reason for this is that two steps of the pantheonate biosynthesis were lumped together in iIT341 GSM/GPR (EC 2.7.87 and 3.1.4.14) to avoid including an apoprotein. As a consequence, this reaction does not account for the acyl carrier protein, rendering the gene nonessential in silico.
For certain knockout mutants, the in silico predictions were false for only a subset of tested media. In order to determine which compounds in the media rendered these phenotype switches, we carried out a more detailed analysis. Each compound was added separately to minimal medium I, and then the deletion experiments in silico were repeated. For example, HP0086 (malate dehydrogenase; EC 1.1.99.16) was essential only when L-aspartate, L-asparagine, or L-threonine was not available in the in silico medium (Table 3, last column). Interestingly, we found that the mutant with deleted pyruvate dehydrogenase (PDH2; encoded by HP1108 to HP1111) was viable when both thymidine and acetate were added to the medium. Therefore, differences in medium conditions might explain the conflicting experimental results by Chalker et al. (3) and Hughes et al. (16) for the pyruvate dehydrogenase mutants. The complete list of results of this deletion study can be found in Tables S5 and S6 of the supplemental data at http://gcrg.ucsd.edu/organisms/hpylori.html).
Nonlethal single-knockout mutants with reduced growth rates.
The reduction in growth rates of the mutants relative to that of the wild type in the same medium reflects the importance of the deleted genes within the metabolic network (Fig. 5). The knockout of genes involved in the respiratory chain (genes for BC10, CYOO_HP, and ATPS4r) was not strictly essential but led to reduced growth rates of the mutants relative to that of the wild type in the same medium (Fig. 5). This observation indicated that the network was mainly using the respiratory chain for ATP production under substrate-limiting conditions, while the presence of other carbon sources enabled it to produce energy via pathways other than oxidative phosphorylation. We found that the amount of reduction in the growth rate decreased with the increasing complexity of the medium. Reduced growth of the mutant relative to the wild type in the same medium also allowed for the evaluation of substrate usage. For example, the deletion of HP1100 or HP1103, whose gene products (EDD and HEX1) are necessary to metabolize D-glucose, led to a 60% decrease in growth rate relative to that of the wild type in minimal medium II (which contained D-glucose in addition to minimal medium I). The addition of alternate carbon sources (as in minimal medium III) restored 90% of the growth rate observed in the wild type. This result indicated that the mutant, as well as the wild type, can metabolize alternate carbon sources efficiently. In fact, experimental studies found that H. pylori uses D-glucose only when most other energy sources have been depleted (31).
Double-deletion mutants of iIT341 GSM/GPR.
Double-deletion experiments are generally difficult to perform
on a large scale in vivo. In silico models provide tools to
rapidly predict the phenotype of such double-knockout mutants
in various media. Here we carried out double-deletion studies
in rich medium for every pair of genes identified as nonessential
in single-deletion studies (Table
4). In total, more than 22,000
possible double-knockout mutants were screened. We identified
47 conditionally lethal double mutants, involving 64 different
metabolic genes, for
iIT341 GSM/GPR. These synthetic essential
genes represented almost 18% of all genes included in the model
and 30% of all nonessential genes in rich medium. Most lethal
synthetic mutants were found when a gene of a particular pathway
and a gene for the transport for either the precursor or product
of this pathway were deleted. For example, deletion of urease
(HP0067 to HP0070, HP0072, and HP0073) and the urea transporter
(HP0071) together led to a lethal synthetic mutant (Table
4).
This result was interesting because neither did
H. pylori require
urea in media nor was urease (UREA, HP0067 to HP0070, HP0072,
and HP0073) found essential in rich medium (Table
3).
Required reactions for the production of each biomass compound.
We carried out reaction deletion studies to determine which
network reactions are necessary for the production of each biomass
constituent. Here, we simulated reaction deletions instead of
gene deletions, so that we could also consider non-gene-associated
reactions in the network. We removed one reaction at a time
from the network and then maximized the production of each biomass
compound. Biomass compounds were grouped based on the reactions
needed for their syntheses. The first cluster accounted for
46 out of 52 biomass compounds. The syntheses of compounds in
this cluster required 90 reactions on average, with a minimum
of 80 reactions (Table
5). The second cluster included mostly
phospholipids. Their synthesis required a common set of 17 metabolic
reactions, with an average of 19 reactions. There were two biomass
compounds, 5-methyltetrahydrofolate (5mthf) and lipopolysaccharide
(lps_hp), that did not have the same set of required reactions
as the other two groups of biomass compounds. The syntheses
of 5mthf and lps_hp required 34 and 45 reactions, respectively;
these two sets of reactions did not overlap. It is notable that
only two biomass compounds, spermidine (sprm) and 5mthf, required
oxygen uptake (O2tr) for their production.
In some cases, only one reaction in a pathway was required for
the synthesis of a particular biomass constituent (Table
5),
as was the case for malate synthase (MALS) (tricarboxylic acid
cycle) in the synthesis of 5mthf. This suggests that such reactions
are also involved in pathways other than those with which they
have been traditionally associated. In many other cases, however,
all reactions in the entire pathway were needed for the synthesis
of a biomass constituent. Examples are reactions in the menaquinone
biosynthesis and methionine salvage pathways (Table
5).

DISCUSSION
In this study, we presented an updated reconstruction of the
metabolism of the human pathogen
H. pylori based on the revised
genome annotation (
1) and new experimental data. This reconstruction
represents a detailed review of the current knowledge about
H. pylori, integrating biochemical and genomic data in a comprehensive
framework including gene-protein-reaction associations. The
reconstruction was used to perform genome-scale single- and
double-deletion studies and to determine required reactions
for the synthesis of each biomass compound.
H. pylori is a fastidious organism with a small genome. The small number of predicted open reading frames (approximately 1,600) (1) reflects its adaptation to its natural niche of the human stomach, where the pathogen does not encounter much competition from other microorganisms (33). Results of our single- and double-deletion studies support this notion, as the high number of essential genes indicates a low redundancy in the metabolic network. More than half of the included metabolic genes were found to be required in tested minimal medium, suggesting a weak ability of the metabolic network to accommodate changes in acidity, nutrients, and temperature in the environment.
Gene deletion experiments yield information about the function of the deleted genes with respect to the overall metabolism of an organism. The model failed to correctly predict growth phenotypes of a subset of single-knockout deletions (Table 3). Various reasons could explain these false predictions. For example, the genome of H. pylori has a large number of hypothetical annotated open reading frames that may encode enzymes that either catalyze some of the non-gene-associated reactions or perform undiscovered functions in H. pylori. Therefore, it is possible that not all metabolic capabilities of H. pylori were included in iIT341 GSM/GPR. False-negative predictions often reflect such incomplete or missing pathways. iIT341 GSM/GPR predicted five false-negative growth phenotypes, which were associated with five different pathways (in minimal medium IV and rich medium) (Table 3). In contrast, false-positive predictions often suggest missing knowledge in the biomass function. In our comparison, six single-deletion growth phenotypes were false positive, which were again associated with six different pathways. In addition, results for conditionally essential mutations were strongly dependent on the composition of the tested medium (Table 3). The compositions of media used in in vivo experiments are usually not well documented in the literature. Without this knowledge, it is difficult to analyze the false predictions made by the network, as the source of the discrepancy can lie in either the compositions of the media or the contents of the network.
The knowledge about in silico-predicted double-knockout mutants can help to reduce time and costs in designing in vivo experiments, and no such study is currently found in the literature for H. pylori. A genome-scale screening for such double-knockout mutants would be extremely difficult, since 213 out of 341 metabolic genes included in the model were not essential in at least one of the tested media. Thus, more than 22,000 double mutants would have to be tested in vivo to identify all lethal double-knockout mutants. These numbers highlight the value of in silico modeling for experimental design.
In this study, we provided an example of how a mathematical and systemic approach to data integration can be useful in predicting results for genome-scale experiments and in assessing properties of a metabolic network as a whole. This study also highlighted gaps in H. pylori metabolism where our knowledge is incomplete. We envision that additional studies on less-characterized pathways, such as those in norspermidine or molybdate metabolism, or the inclusion of regulatory elements in the computational models will greatly improve the model's predictive capability in the future and expand knowledge about H. pylori metabolism.

ACKNOWLEDGMENTS
We acknowledge Jennifer Reed, Andrew Joyce, Scott Becker, and
Jason Papin for help and advice with the reconstruction process.
Funding for this work was provided by the Thieles and the San Diego Fellowship to T.D.V.
B.Ø.P. serves on the Scientific Advisory Board of Genomatica, Inc.

FOOTNOTES
* Corresponding author. Mailing address: Department of Bioengineering, University of CaliforniaSan Diego, 9500 Gilman Dr. 0412, La Jolla, CA 92093-0412. Phone: (858) 534-5668. Fax: (858) 822-3120. E-mail:
palsson{at}ucsd.edu.

These authors contributed equally to this work. 

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Journal of Bacteriology, August 2005, p. 5818-5830, Vol. 187, No. 16
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