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Modeling network dynamics: the lac operon, a case study.

We use the lac operon in Escherichia coli as a prototype system to illustrate the current state, applicability, and limitations of modeling the dynamics of cellular networks. We integrate three different levels of description (molecular, cellular, and that of cell population) into a single model, which seems to capture many experimental aspects of the system.

Animals↗

The inhibition of Escherichia coli lac operon gene expression by antigene oligonucleotides-mathematical modeling.

Gene transcription is regulated by transcription factors that can bind to specific regions on DNA. Antigene oligonucleotides (oligos) can bind to specific regions on DNA and form a triplex with the double-stranded DNA. The triplex can competitively inhibit the binding of transcription factors and, as a result, transcription can be inhibited. A genetically structured model has been developed to quantitatively describe the inhibition of the Escherichia coli lac operon gene expression by triplex-forming oligos. The model predicts that the effect of triplex-forming oligos on the lac operon gene expression depends on their target sites. Oligonucleotides targeted to the operator are much more effective than those targeted to other regulatory sites on the lac operon. In some cases, the effect of oligo binding is similar to that of a mutation in the lac operon. The model provides insight as to the specific binding site to be targeted to achieve the most effective inhibition of gene expression. The model is also capable of predicting the oligo concentration needed to inhibit gene expression, which is in general agreement with results reported by other investigators.

Computer Simulation↗

'Muprints' of the lac operon demonstrate physiological control over the randomness of in vivo transposition.

A method called Muprinting has been developed that uses PCR to generate a detailed picture of the bacteriophage Mu transposition sites in chosen domains of the bacterial chromosome. Muprinting experiments in Escherichia coli show that the frequency of phage integration changes dramatically near two repressor binding sites in the lac operon. When the lac operon was repressed, hotspots for Mu transposition were found near the O1 and O2 operators that are proposed to make a repression loop. When cells were grown in lactose, Mu transposition near these operators was greatly diminished. Striking changes in transposition frequencies were limited to the control region and were not found in a region of the lacZ gene lying beyond the O2 operator. Muprints of the bgl operon showed a different pattern; hotspots for Mu transposition detected in sequences upstream of the bglC promoter when the operon was silenced changed when the operon became activated by mutation. By targeting transposition to the regulatory regions around non-expressed genes, Mu may demonstrate a self-restraint mechanism that allows the virus to move through its host genome without disrupting the functions that contribute to a healthy cell physiology.

Bacteriophage mu↗

Transient repression of the lac operon - the effect of a lac promoter deletion.

Experiments have been done to show whether the lac promoter delection L1, which partly alleviates catabolite repression, also affects transient repression of lac. In stain L1/F'M15 all of the beta-galactosidase is synthesized from a chromosomal gene cis to L1, whereas 98% of the thiogalactosidase transacetylase is synthesized from an episomal gene cis to an intact i-p-o region. The addition of glucose to induced cultures of strain L1/F'M15 growing in glycerol medium caused extensive transient repression of transacetylase but almost no transient repression of beta-galactosidase. In control experiments with a diploid stain of genotype p(+)z(+)a(-)/F'p(+)z(-)a(+) the two enzymes suffered equal transient repression. Thus L1 substantially relieves transient repression.

Journal Article↗

Exogenous induction of the Escherichia coli hexose phosphate transport system defined by uhp-lac operon fusions.

The uhp-coded hexose phosphate transport system of Escherichia coli is normally induced by the presence of extracellular glucose-6-phosphate (G6P), whereas internally generated G6P does not provide a regulatory signal. Strains carrying uhp-lac operon fusions in which lac operon expression is under the control of the uhpT promoter were isolated. The direction of transcription of the uhp T gene was found to be counterclockwise on the E. coli chromosome map. The effects of added sugar phosphates on induction of beta-galactosidase and G6P uptake activities were compared in two fusion-carrying strains differing only in the presence of functional Uhp+ activity. Induction of uhp expression by G6P was equally effective in the two strains; accumulation of G6P diminished its ability to serve as an inducer. Mannose-6-phosphate was an effective competitive inhibitor of G6P uptake, but did not inhibit induction by G6P of uhp expression. No sugar phosphates were found that inhibited induction by G6P. Inorganic phosphate competitively inhibited induction by G6P whether G6P transport activity was present or not. Thus, the transport activity is not involved in the regulation of its synthesis, and these results strongly support the view that the uhp regulatory system senses only the external environment.

Biological Transport↗

opp-lac Operon fusions and transcriptional regulation of the Escherichia coli trp-linked oligopeptide permease.

The transcriptional regulation of the Escherichia coli trp-linked opp operon that encodes the oligopeptide permease was investigated by using lambda plac Mu51-generated lac operon fusions. Synthesis of beta-galactosidase by strains harboring oppA-lac, oppB-lac, and oppD-lac fusions occurred at a basal level when the fusion-containing strains were grown in minimal medium. The addition of L-leucine or L-alanine to exponentially growing, aerobic cultures or shifting the aerobic fusion-containing strains to anaerobic growth medium increased the synthesis of beta-galactosidase from all opp-lac fusions. When transcription of the opp operon was induced by L-leucine, the differential rate of beta-galactosidase synthesis from each opp-lac fusion increased 8- to 10-fold; this increased rate of lacZ expression from the opp-lac fusions resulted in a 5- to 6-fold increase in total beta-galactosidase activity after maximum expression was achieved. Importantly, when F'123 derivatives harboring independently isolated E. coli opp-lac operon fusions were introduced into E. coli and Salmonella typhimurium, the data clearly demonstrated that the E. coli opp operon was expressed identically and responded to the same transcriptional regulatory signals in both E. coli and S. typhimurium. A comparison of beta-galactosidase synthesis by E. coli strains harboring an opp-lac operon fusion and either an oppE+ locus or an oppE mutation demonstrated that the reduction in peptide transport produced by the oppE mutation does not result from a decrease in the level of opp operon transcription.

Alanine↗

Catabolite repression of the lac operon. Separt epressionof two enzymes.

1. Catabolite repression of beta-galactosidase and of thiogalactoside transacetylase was studied in several strains of Escherichia coli K 12, in an attempt to show whether a single site within the structural genes of the lac operon co-ordinately controls translational repression for the two enzymes. In all experiments the rate of synthesis of the enzymes was compared in glycerol-minimal medium and in glucose-minimal medium. 2. In a wild-type strain, glucose repressed the synthesis of the two enzymes equally. 3. The possibility that repression was co-ordinate was investigated by studies of mutant strains that carry deletions in the genes for beta-galactosidase or galactoside permease or both. In all of the strains with deletions, the repression of thiogalactoside transacetylase persisted, and it is concluded that there is no part of the structural gene for beta-galactosidase that is essential for catabolite repression of thiogalactoside transacetylase. 4. Subculture of one strain through several transfers in rich medium greatly increased its susceptibility to catabolite repression by glucose. It is concluded that unknown features of the genotype can markedly affect sensitivity to catabolite repression. 5. These results make it clear that one cannot draw valid conclusions about the effect of known genotypic differences on catabolite repression from a comparison of two separate strains; to study the effect of a particular genetic change in a lac operon it is necessary to construct a partially diploid strain so that catabolite repression suffered by one lac operon can be compared with that suffered by another. 6. Four such partial diploids were constructed. In all of them catabolite repression of beta-galactosidase synthesized by one operon was equal in extent to catabolite repression of thiogalactoside transacetylase synthesized by the other. 7. Taken together, these results suggest that catabolite repression of beta-galactosidase and thiogalactoside transacetylase is separate but equal.

Acyltransferases↗

Structure of the lac operon galactoside acetyltransferase.

The galactoside acetyltransferase (thiogalactoside transacetylase) of Escherichia coli (GAT, LacA, EC 2.3.1.18) is a gene product of the classical lac operon. GAT may assist cellular detoxification by acetylating nonmetabolizable pyranosides, thereby preventing their reentry into the cell. The structure of GAT has been solved in binary complexes with acetyl-CoA or CoA and in ternary complexes with CoA and the nonphysiological acceptor substrates isopropyl beta-D-thiogalactoside (IPTG) or p-nitrophenyl beta-D-galactopyranoside (PNPbetaGal). A hydrophobic cleft that binds the thioisopropyl and p-nitrophenyl aglycones of IPTG and PNPbetaGal may discriminate against substrates with hydrophilic substituents at this position, such as lactose, or inducers of the lac operon. An extended loop projecting from the left-handed parallel beta helix domain contributes His115, which is in position to facilitate attack of the C6-hydroxyl group of the substrate on the thioester.

Acetyltransferases↗

Specific destruction of the second lac operator decreases repression of the lac operon in Escherichia coli fivefold.

The second operator of the lac operon, located within the 5'-coding region of the lacZ gene, was specifically destroyed by means of oligonucleotide-directed mutagenesis. Eight of its bases were exchanged without altering the wild-type amino acid sequence of beta-galactosidase. The mutation was transferred onto an F'lac+I+O+Z+pro+ episome. We observed a fivefold decrease in repression of beta-galactosidase expression compared to that in the wild-type.

Enzyme Repression↗

Paradoxical effect of weak inducers on the lac operon of Escherichia coli.

Previously, we reported the existence of a group of compounds whose function in the regulation of the lac operon was "paradoxical" in that they acted as either inducers or repressors depending on the circumstances. We now show that this group of compounds does not repress the lac operon by catabolite repression, transient repression, or by preventing the uptake of inducers. A model is presented which shows that "paradoxical" behavior is to be expected if a weak inducer is present at a concentration that is high relative to its binding affinity for the regulatory macromolecule. This model depends on the assumptions that the regulatory macromolecule is an allosteric protein which undergoes a transition between two conformational states and that the rate of enzyme synthesis depends on the fraction of protein molecules in each state. The previous observations on the responses of lac regulatory mutants to weak inducers have been extended to a series of such mutants. Weak inducers repress beta-galactosidase synthesis in several i(-) mutants. When this happens, enzyme synthesis can be reinduced by using a strong inducer such as isopropyl-beta-d-thiogalactoside. These compounds induce operator constitutives and the i(t) mutant more easily than they induce a wild-type strain.

Enzyme Induction↗

[Construction of the hybrid crp-lac operon and study of the role of CRP-cAMP complex in its regulation in Escherichia coli].

Phage Mu d1(Ap,lac) was used to construct the hybrid crp-lac operon in Escherichia coli cells possessing crps mutation which increases sensitivity of bacterial growth to exogenous cAMP. Transcription of the structural lac genes in this hybrid operon was initiated from the promoter region of the crp gene. By measuring levels of beta-galactosidase enzyme, the maximal transcription of the crp gene was obtained in strains with cya or crp mutations causing inactivation of the CRP - cAMP complex. Restoration of cya+crp+ genotype resulted in 5 to 7 times decrease of the lacZ gene activity. At the concentration of exogenous cAMP which induces catabolic derepression in the wild-type strain, the expression of crp-lac operon increased 2-3 times. Using F'ts114lac-mediated chromosome mobilization, the direction of transcription of the crp gene was found to be counterclockwise, relative to the E. coli genetic map.

Escherichia coli↗

Bacteriophage Mu d1(Apr lac) generates vir-lac operon fusions in Shigella flexneri 2a.

Previous studies have demonstrated that expression of virulence in Shigella spp. is controlled by growth temperature. To study the regulation of virulence (vir) genes, we set out to develop a rapid, easily-assayed phenotype with which to measure expression of virulence. This report described a procedure for isolating vir-lac operon fusions in S. flexneri 2a by using the specialized transducing bacteriophage Mu d1(Apr lac) of Casadaban and Cohen (M. Casadaban and S. N. Cohen, Proc. Natl. Acad. Sci. U.S.A. 76:4530-4533, 1976). Mu d1(Apr lac) lysogens were isolated and screened for loss of virulence and for temperature-dependent expression of the lactose genes on Mu d1(Apr lac). A recombinant plasmid carrying the Mu immunity gene was also introduced into lysogens of interest to stabilize the Mu d1(Apr lac) insertion and prevent possible thermal induction at 37 degrees C. The mutant which we isolated failed to penetrate tissue culture cells in the assay for virulence and produced almost 15-fold more beta-galactosidase when grown at 37 degrees C than when grown at 30 degrees C. The site of insertion of Mu d1(Apr lac) in this strain was shown to be in the 140-megadalton plasmid pSf2a140, which is known to be associated with virulence. P1L4-mediated transduction of the insertion into a virulent recipient demonstrated genetic linkage of Mu d1(Apr lac) with loss of virulence and temperature-dependent expression of beta-galactosidase. All of these features fulfill the phenotype expected for a Mu d1(Apr lac)-induced vir-lac operon fusion. This mutant provides us with a means of measuring expression of a gene function required for virulence by assaying for beta-galactosidase. The insertion will also serve as a starting point for mapping of genes on pSf2a140 which are necessary for expression of virulence.

Bacteriophage mu↗

Molecular analysis of the lac operon encoding the binding-protein-dependent lactose transport system and beta-galactosidase in Agrobacterium radiobacter.

The genes coding for the binding-protein-dependent lactose transport system and beta-galactosidase in Agrobacterium radiobacter strain AR50 were cloned and partially sequenced. A novel lac operon was identified which contains genes coding for a lactose-binding protein (lacE), two integral membrane proteins (lacF and lacG), an ATP-binding protein (lacK) and beta-galactosidase (lacZ). The operon is transcribed in the order lacEFGZK. The operon is controlled by an upstream regulatory region containing putative -35 and -10 promoter sites, an operator site, a CRP-binding site probably mediating catabolite repression by glucose and galactose, and a regulatory gene (lacl) encoding a repressor protein which mediates induction by lactose and other galactosides in wild-type A. radiobacter (but not in strain AR50, thus allowing constitutive expression of the lac operon). The derived amino acid sequences of the gene products indicate marked similarities with other binding-protein-dependent transport systems in bacteria.

Amino Acid Sequence↗

Anomalous expression of the E. coli lac operon in Proteus mirabilis. II. Effects of lacI and lacP mutations.

The lac operon introduced into Proteus mirabilis shows two anomalies of expression: the maximal induced level is reduced by about an order of magnitude, and the basal level becomes about 100 times higher than in E. coli, as a result of which the induction ratio appears very small, around 2-5 in contrast to as much as 1000 in E. coli. It was suggested by Baumberg and Dennison (1975) that the two anomalies might be manifestations of a single effect whereby some exogenous promoters give poor expression in this host, since they could result from poor expression of the lacZYA and lacI promoters respectively. We show here that when the lacP class II promoter mutation L305 was transferred on an F-prime into P. mirabilis, its effect on lac expression was much as in E. coli. However, when Flac bearing the IQ1 up-promoter mutation was introduced into P. mirabilis, the basal level decreased by three orders of magnitude, in accord with poor expression of lacI+ being responsible for the usual low induction ratio. These results are consistent with the hypothesis of Baumberg and Dennison (1975) but do not prove it: poor expression of lacI and/or lacZYA could also result from weak translation initiation, problems of continuation of transcription or translation (e.g. due to pause sequences or differences in codon use), or diminished mRNA stability.

Escherichia coli↗

Catabolite repression of the lac operon. The contribution f trascriptional repression.

1. Experiments were carried out to distinguish the contributions of transcriptional and translational repression to catabolite repression of the lac operon. 2. In strain EZ16-3-G of Escherichia coli the synthesis of thiogalactoside transacetylase is directed by a gene situated on an episome, and the operator, promotor and regulator genes that lay cis to this gene have been deleted, so that the normal mechanism for controlling transcription is abolished. The extent of catabolite repression in this strain was much less than that in wild-type strains. 3. The same episome is responsible for the synthesis of thiogalactoside transacetylase in strain RM32/F'd25, and in this strain a second lac operon directs the synthesis of beta-galactosidase under the control of a wild-type operator-promotor-regulator system. The extent of catabolite repression of thiogalactoside transacetylase in strain RM32/F'd25 was substantially more than in strain EZ16-3-G, but less than that of beta-galactosidase in strain RM32/F'd25. 4. Since the synthesis of thiogalactoside transacetylase in these organisms is presumably subject to translational repression only, it is concluded that in strain RM32/F'd25 the synthesis of beta-galactosidase is subject to both transcriptional and translational repression. It is also concluded that the extent of translational repression varies between strains.

Acyltransferases↗

Detection in vivo of protein-DNA interactions within the lac operon of Escherichia coli.

Studies of the sequence-specific binding of proteins to DNA have so far relied on in vitro experiments using cloned restriction fragments containing the relevant DNA sequences. We have applied the genomic sequencing technique of Church and Gilbert to show that the interactions observed in vitro occur in vivo. We use this approach to study the binding of regulatory proteins to the lac operon in vivo and detect changes in the reactivity (inhibition or enhancement) of guanines to methylation by dimethyl sulphate caused by the proximity of proteins to the N-7 atom of these guanines. We can detect the simultaneous binding of the catobolite gene activator protein (CAP) and the Lac repressor to their specific recognition sequences, and following induction of the lac operon we observe effects that are related to RNA polymerase binding or RNA elongation. We have successfully used oligonucleotide probes as short as 17 bases to display genomic sequence.

Base Sequence↗

ack::Mu d1-8 (Apr lac) operon fusions of Salmonella typhimurium LT2.

Several ack::Mu d1-8 insertions were isolated from Salmonella typhimurium on MacConkey-glucose-trimethylamine oxide medium. They could not produce gas from glucose in the absence of exogenous formate. Two of the mutants expressed beta-galactosidase activity and were shown to be ack::Mu d1-8 fusions by genetic analysis. These insertions were characterized and located on the genetic map at the ack locus by co-transduction with zei::Tn10. The gene order zei::Tn10-ack-pta was established. The direction of transcription of ack was clockwise on the genetic map. Expression of the lac operon in ack::Mu d1-8 was increased twofold by anaerobiosis. Addition of formate, pyruvate, and acetate did not affect the anaerobic expression of the lac operon in ack::Mu d1-8.

Acetate Kinase↗

Genomic hsd-Mu(lac) operon fusion mutants of Escherichia coli K-12.

Genomic (chromosomal)hsd-Mu(lac) operon fusions have been constructed in two strains of Escherichia coli K-12 for the three hsd genes, hsdRK, hsdMK and hsdSK, using MudX and lambda placMu53. Expression of hsdK mutants ranged from 16 to 74 units (u) (with a mean of 52 u) for fusions to promoter pres and ranged from 26-75 u (also with a mean of 52 u) for fusions to promoter pmod. The expression of the two hsdK promoters was measured in different stages of growth. The pres fusion mutant showed a lag in beta-galactosidase (beta Gal) production, as compared to the pmod fusion mutant. One r-Km-K mutant (JR205) showed more than ten times the beta Gal activity of other insertion mutants. The activity of this mutant decreased by 20-fold upon the transfer of F101-102, which includes the wild-type hsd region. Positive gene-dosage effect was observed using F' plasmids containing the hsd-lacZ region.

Bacteriophage mu↗