Diffusion of transcription factors can drastically enhance the noise in gene expression

We study by Green's Function Reaction Dynamics the effect of the diffusive motion of repressor molecules on the noise in mRNA and protein levels for a gene that is under the control of a repressor. We find that spatial fluctuations due to diffusion can drastically enhance the noise in gene expression. After dissociation from the operator, a repressor can rapidly rebind to the DNA. Our results show that the rebinding trajectories are so short that, on this timescale, the RNA polymerase (RNAP) cannot effectively compete with the repressor for binding to the promoter. As a result, a dissociated repressor molecule will on average rebind many times, before it eventually diffuses away. These rebindings thus lower the effective dissociation rate, and this increases the noise in gene expression. Another consequence of the timescale separation between repressor rebinding and RNAP association is that the effect of spatial fluctuations can be described by a well-stirred, zero-dimensional, model by renormalizing the reaction rates for repressor-DNA (un) binding. Our results thus support the use of well-stirred, zero-dimensional models for describing noise in gene expression. We also show that for a fixed repressor strength, the noise due to diffusion can be minimized by increasing the number of repressors or by decreasing the rate of the open complex formation. Lastly, our results emphasize that power spectra are a highly useful tool for studying the propagation of noise through the different stages of gene expression.     

Role of residue 147 in the gene regulatory function of the Escherichia coli purine repressor.

The crystal structures of corepressor-bound and free Escherichia coli purine repressor (PurR) have delineated the roles of several residues in corepressor binding and specificity and the intramolecular signal transduction (allosterism) of this LacI/GalR family member. From these structures, residue W147 was implicated as a key component of the allosteric response, but in many members of the LacI/GalR family, position 147 is occupied by an arginine. To understand the role of this tryptophan at position 147, three proteins, substituted by phenylalanine (W147F), alanine (W147A), or arginine (W147R), were constructed and characterized in vivo and in vitro, and their structures were determined. W147F displays a decreased affinity for corepressor and is a poor repressor in vivo. W147A and W147R, on the other hand, are super repressors and bind corepressor 13.6 and 7.9 times more tightly, respectively, than wild-type. Each mutant PurR-hypoxanthine-purF operator holo complex crystallizes isomorphously to wild-type. Whereas the apo corepressor binding domain (CBD) of W147F crystallizes under those conditions used for the wild-type protein, neither the apo CBD of W147R nor W147A crystallizes, although screened extensively for new crystal forms. Structures of the holo repressor mutants have been solved to resolutions between 2.5 and 2.9 A, and the structure of the apo CBD of W147F has been solved to 2.4 A resolution. These structures provide insight into the altered biochemical properties and physiological functions of these mutants, which appear to depend on the sometimes subtle preference for one conformation (apo vs holo) over the other.     

Cleavage of Bacteriophage λ cI Repressor Involves the RecA C-Terminal Domain

The SOS response to DNA damage in Escherichia coli involves at least 43 genes, all under the control of the LexA repressor. Activation of these genes occurs when the LexA repressor cleaves itself, a reaction catalyzed by an active, extended RecA filament formed on DNA. It has been shown that the LexA repressor binds within the deep groove of this nucleoprotein filament, and presumably, cleavage occurs in this groove. Bacteriophages, such as λ, have repressors (cI) that are structural homologs of LexA and also undergo self-cleavage when SOS is induced. It has been puzzling that some mutations in RecA that affect the cleavage of repressors are in the C-terminal domain (CTD) far from the groove where cleavage is thought to occur. In addition, it has been shown that the rate of cleavage of cI by RecA is dependent upon both the substrate on which RecA is polymerized and the ATP analog used. Electron microscopy and three-dimensional reconstructions show that the conformation and dynamics of RecA's CTD are also modulated by the polynucleotide substrate and ATP analog. Under conditions where the repressor cleavage rates are the highest, cI is coordinated within the groove by contacts with RecA's CTD. These observations provide a framework for understanding previous genetic and biochemical observations.     

C-Terminal Deletions Can Suppress Temperature-Sensitive Mutations and Change Dominance in the Phage Mu Repressor

Mutations in an N-terminal 70-amino acid domain of bacteriophage Mu's repressor cause temperature-sensitive DNA-binding activity. Surprisingly, amber mutations can conditionally correct the heat-sensitive defect in three mutant forms of the repressor gene, cts25 (D43-G), cts62 (R47-Q) and cts71 (M28-I), and in the appropriate bacterial host produce a heat-stable Sts phenotype (for survival of temperature shifts). Sts repressor mutants are heat sensitive when in supE or supF hosts and heat resistant when in Sup° hosts. Mutants with an Sts phenotype have amber mutations at one of three codons, Q179, Q187, or Q190. The Sts phenotype relates to the repressor size: in Sup° hosts sts repressors are shorter by seven, 10, or 18 amino acids compared to repressors in supE or supF hosts. The truncated form of the sts62-1 repressor, which lacks 18 residues (Q179-V196), binds Mu operator DNA more stably at 42° in vitro compared to its full-length counterpart (cts62repressor). In addition to influencing temperature sensitivity, the C-terminus appears to control the susceptibility to in vivo Clp proteolysis by influencing the multimeric structure of repressor.     

Mutational analysis of the arginine repressor of Escherichia coli

Arginine biosynthesis in Escherichia coli is negatively regulated by a hexameric repressor protein, encoded by the gene argR and the corepressor arginine. By hydroxylamine mutagenesis two types of argR mutants were isolated and mapped. The first type is transdominant. In heterodiploids, these mutant polypeptides reduce the activity of the wild-type repressor, presumably by forming heteropolymers. Four mutant repressor proteins were purified. Two of these map in the N-terminal half of the protein. Gel retardation experiments showed that they bind poorly to DNA, but they could be precipitated by l -arginine at the same concentration as the wild-type repressor. The other two mutant repressors map in the C-terminal half of the protein. They are poorly precipitated by L-arginine and they bind poorly to DNA. In addition, one of these mutants appears to exist as a dimer. The second type of argR mutant repressor consists of super-repressors. Such mutants behave as arginine auxotrophs as a result of hyper-repression of arginine biosynthetic enzymes. They map at many locations throughout the argR gene. Three arginine super-repressor proteins were purified, in comparison with the wild-type repressor, two of them were shown to have a higher DNA-binding affinity in the absence of bound arginine, while the third was shown to have a higher DNA-binding affinity when bound to arginine.     

DNA-binding site of lac repressor probed by dimethylsulfate methylation of lac operator.

In order to compare the structures of the DNA-binding sites on variants of the lac repressor, we have studied the influence of these variants on the dimethylsulfate methylation of the lac operator. Since a bound protein changes the availability of specific purines in the operator to this chemical attack, comparisons of the methylation patterns will show similarities or differences in the protein DNA contacts. We compared lac repressor, induced lac repressor (repressor bound to the gratuitous inducer isopropyl-β-d-thiogalactoside), mutant repressors having increased operator affinities (X86, I12 and the X86-I12 double mutant) and repressor peptides (long headpiece, residues 1 to 59 and short headpiece. residues 1 to 51). All of these repressors and repressor peptides exhibit the same general pattern of protection and enhancement in the operator; however, the short headpiece pattern differs most from that of the repressor while the induced repressor and the long headpiece show intermediate patterns that are strikingly similar to each other. The mutant repressors do not show an isopropyl-β-d-thiogalactoside effect but otherwise are almost indistinguishable from wild-type repressor. These results demonstrate that all molecules bind to the operator using basically the same protein-DNA contacts; they imply that (1) most and possibly all repressor contacts to operator lie within amino acids 1 to 51, (2) inducer weakens many contacts rather than totally disrupting one or even a few and (3) the tight-binding mutants do not make additional contacts to the DNA.These results are consistent with a model in which the amino-terminal portions of two repressor monomers make the DNA contacts. We show that one can understand the affinity of binding as related to the accuracy of the register of the two amino-terminal portions along the DNA. Furthermore, the action of inducer and the behaviour of the tight binding mutants can be accomodated within a two-state model in which the strongly or weakly binding states correspond to structures in which the amino-terminal regions are rigidly or loosely held with respect to each other.