Importance of tetramer formation by the nitrogen assimilation control protein for strong repression of glutamate dehydrogenase formation in Klebsiella pneumoniae

Fundamentals and Exceptions of the LysR-type Transcriptional Regulators

LysR-type transcriptional regulators (LTTRs) are emerging as a promising group of macromolecules for the field of biosensors. As the largest family of bacterial transcription factors, the LTTRs represent a vast and mostly untapped repertoire of sensor proteins. To fully harness these regulators for transcription factor-based biosensor development, it is crucial to understand their underlying mechanisms and functionalities. In the first part, this Review discusses the established model and features of LTTRs. As dual-function regulators, these inducible transcription factors exude precise control over their regulatory targets. In the second part of this Review, an overview is given of the exceptions to the "classic" LTTR model. While a general regulatory mechanism has helped elucidate the intricate regulation performed by LTTRs, it is essential to recognize the variations within the family. By combining this knowledge, characterization of new regulators can be done more efficiently and accurately, accelerating the expansion of transcriptional sensors for biosensor development. Unlocking the pool of LTTRs would significantly expand the currently limited range of detectable molecules and regulatory functions available for the implementation of novel synthetic genetic circuitry.

LysR-type transcriptional regulators: state of the art

The LysR-type transcriptional regulators (LTTRs) are DNA-binding proteins present in bacteria, archaea, and in algae. Knowledge about their distribution, abundance, evolution, structural organization, transcriptional regulation, fundamental roles in free life, pathogenesis, and bacteria-plant interaction has been generated. This review focuses on these aspects and provides a current picture of LTTR biology.

DbdR, a New Member of the LysR Family of Transcriptional Regulators, Coordinately Controls Four Promoters in the Thauera aromatica AR-1 3,5-Dihydroxybenzoate Anaerobic Degradation Pathway

The facultative anaerobe Thauera aromatica strain AR-1 uses 3,5-dihydroxybenzoate (3,5-DHB) as a sole carbon and energy source under anoxic conditions using an unusual oxidative strategy to overcome aromatic ring stability. A 25-kb gene cluster organized in four main operons encodes the anaerobic degradation pathway for this aromatic. The dbdR gene coding for a LysR-type transcriptional regulator (LTTR), which is present at the foremost end of the cluster, is required for anaerobic growth on 3,5-DHB and for the expression of the main pathway operons. A model structure of DbdR showed conserved key residues for effector binding with its closest relative TsaR for p-toluenesulfonate degradation. We found that DbdR controlled expression of three promoters upstream from the operons coding for the three main steps of the pathway. While one of them (P _orf20 ) was only active in the presence of 3,5-DHB, the other two (P _dbhL and P _orf18 ) showed moderate basal levels that were further induced in the presence of the pathway substrate, which needed be converted to hydroxyhydroquinone to activate transcription. Both basal and induced activities were strictly dependent on DbdR, which was also required for transcription from its own promoter. DbdR basal expression was moderately high and, unlike most LTTR, increased 2-fold in response to the presence of the effector. DbdR was found to be a tetramer in solution, producing a single retardation complex in binding assays with the three enzymatic promoters, consistent with its tetrameric structure. The three promoters had a conserved organization with a clear putative primary (regulatory) binding site and a putative secondary (activating) binding site positioned at the expected distances from the transcription start site. In contrast, two protein-DNA complexes were observed for the P _dbdR promoter, which also showed significant sequence divergence from those of the three other promoters. Taken together, our results show that a single LTTR coordinately controls expression of the entire 3,5-DHB anaerobic degradation pathway in Thauera aromatica AR-1, allowing a fast and optimized response to the presence of the aromatic.IMPORTANCE Thauera aromatica AR-1 is a facultative anaerobe that is able to use 3,5-dihydroxybenzoat (3,5-DHB) as the sole carbon and energy source in a process that is dependent on nitrate respiration. We have shown that a single LysR-type regulator with unusual properties, DbdR, controls the expression of the pathway in response to the presence of the substrate; unlike other regulators of the family, DbdR does not repress but activates its own synthesis and is able to bind and activate three promoters directing the synthesis of the pathway enzymes. The promoter architecture is conserved among the three promoters but deviates from that of typical LTTR-dependent promoters. The substrate must be metabolized to an intermediate compound to activate transcription, which requires basal enzyme levels to always be present. The regulatory network present in this strain is designed to allow basal expression of the enzymatic machinery, which would rapidly metabolize the substrate when exposed to it, thus rendering the effector molecule. Once activated, the regulator induces the synthesis of the entire pathway through a positive feedback, increasing expression from all the target promoters to allow maximum growth.

The Salmonella enterica serovar Typhi LeuO global regulator forms tetramers: residues involved in oligomerization, DNA binding, and transcriptional regulation

LeuO is a LysR-type transcriptional regulator (LTTR) that has been described to be a global regulator in Escherichia coli and Salmonella enterica, since it positively and negatively regulates the expression of genes involved in multiple biological processes. LeuO is comprised of an N-terminal DNA-binding domain (DBD) with a winged helix-turn-helix (wHTH) motif and of a long linker helix (LH) involved in dimerization that connects the DBD with the C-terminal effector-binding domain (EBD) or regulatory domain (RD; which comprises subdomains RD-I and RD-II). Here we show that the oligomeric structure of LeuO is a tetramer that binds with high affinity to DNA. A collection of single amino acid substitutions in the LeuO DBD indicated that this region is involved in oligomerization, in positive and negative regulation, as well as in DNA binding. Mutants with point mutations in the central and C-terminal regions of RD-I were affected in transcriptional activation. Deletion of the RD-II and RD-I C-terminal subdomains affected not only oligomerization but also DNA interaction, showing that they are involved in positive and negative regulation. Together, these data demonstrate that not only the C terminus but also the DBD of LeuO is involved in oligomer formation; therefore, each LeuO domain appears to act synergistically to maintain its regulatory functions in Salmonella enterica serovar Typhi.

Nitrogen assimilation in Escherichia coli: putting molecular data into a systems perspective

We present a comprehensive overview of the hierarchical network of intracellular processes revolving around central nitrogen metabolism in Escherichia coli. The hierarchy intertwines transport, metabolism, signaling leading to posttranslational modification, and transcription. The protein components of the network include an ammonium transporter (AmtB), a glutamine transporter (GlnHPQ), two ammonium assimilation pathways (glutamine synthetase [GS]-glutamate synthase [glutamine 2-oxoglutarate amidotransferase {GOGAT}] and glutamate dehydrogenase [GDH]), the two bifunctional enzymes adenylyl transferase/adenylyl-removing enzyme (ATase) and uridylyl transferase/uridylyl-removing enzyme (UTase), the two trimeric signal transduction proteins (GlnB and GlnK), the two-component regulatory system composed of the histidine protein kinase nitrogen regulator II (NRII) and the response nitrogen regulator I (NRI), three global transcriptional regulators called nitrogen assimilation control (Nac) protein, leucine-responsive regulatory protein (Lrp), and cyclic AMP (cAMP) receptor protein (Crp), the glutaminases, and the nitrogen-phosphotransferase system. First, the structural and molecular knowledge on these proteins is reviewed. Thereafter, the activities of the components as they engage together in transport, metabolism, signal transduction, and transcription and their regulation are discussed. Next, old and new molecular data and physiological data are put into a common perspective on integral cellular functioning, especially with the aim of resolving counterintuitive or paradoxical processes featured in nitrogen assimilation. Finally, we articulate what still remains to be discovered and what general lessons can be learned from the vast amounts of data that are available now.

An A-tract at the AtzR binding site assists DNA binding, inducer-dependent repositioning and transcriptional activation of the PatzDEF promoter

The LysR-type regulator AtzR activates the Pseudomonas sp. ADP atzDEF operon in response to nitrogen limitation and cyanuric acid. Activation involves repositioning of the AtzR tetramer on the PatzDEF promoter and relaxation of an AtzR-induced DNA bend. Here we examine the in vivo and in vitro contribution of an A5 -tract present at the PatzDEF promoter region to AtzR binding and transcriptional activation. Substitution of the A-tract for the sequence ACTCA prevented PatzDEF activation and high-affinity AtzR binding, impaired AtzR contacts with the activator binding site and shifted the position of the AtzR-induced DNA bend. Analysis of a collection of mutants bearing different alterations in the A-tract sequence showed that the extent of AtzR-dependent activation does not correlate with the magnitude or orientation of the spontaneous DNA bend generated at this site. Our results support the notion that indirect readout of the A-tract-associated narrow minor groove is essential for the AtzR-DNA complex to achieve a conformation competent for activation of the PatzDEF promoter. Conservation of this motif in several binding sites of LysR-type regulators suggests that this mechanism may be shared by other proteins in this family.

Comparative analysis of regulatory elements between Escherichia coli and Klebsiella pneumoniae by genome-wide transcription start site profiling

Genome-wide transcription start site (TSS) profiles of the enterobacteria Escherichia coli and Klebsiella pneumoniae were experimentally determined through modified 5′ RACE followed by deep sequencing of intact primary mRNA. This identified 3,746 and 3,143 TSSs for E. coli and K. pneumoniae, respectively. Experimentally determined TSSs were then used to define promoter regions and 5′ UTRs upstream of coding genes. Comparative analysis of these regulatory elements revealed the use of multiple TSSs, identical sequence motifs of promoter and Shine-Dalgarno sequence, reflecting conserved gene expression apparatuses between the two species. In both species, over 70% of primary transcripts were expressed from operons having orthologous genes during exponential growth. However, expressed orthologous genes in E. coli and K. pneumoniae showed a strikingly different organization of upstream regulatory regions with only 20% identical promoters with TSSs in both species. Over 40% of promoters had TSSs identified in only one species, despite conserved promoter sequences existing in the other species. 662 conserved promoters having TSSs in both species resulted in the same number of comparable 5′ UTR pairs, and that regulatory element was found to be the most variant region in sequence among promoter, 5′ UTR, and ORF. In K. pneumoniae, 48 sRNAs were predicted and 36 of them were expressed during exponential growth. Among them, 34 orthologous sRNAs between two species were analyzed in depth, and the analysis showed that many sRNAs of K. pneumoniae, including pleiotropic sRNAs such as rprA, arcZ, and sgrS, may work in the same way as in E. coli. These results reveal a new dimension of comparative genomics such that a comparison of two genomes needs to be comprehensive over all levels of genome organization.

In order to investigate similarities and differences of closely related species, most of the comparative genomics studies focus on comparing the gene contents either shared or specific for each genome. However, it is also important to investigate the differences in non-coding regulatory elements because they influence the transcriptional and post-transcriptional processes. Thus, we performed a genome-wide profiling of transcription start sites (TSSs) in two species, E. coli K-12 MG1655 and K. pneumoniae MGH78578. Experimental identification of TSSs is important for precise definition of promoter regions and 5′ untranslated regions upstream of coding genes. Comparative analysis of these regulatory elements revealed the use of multiple TSSs, identical sequence motifs of promoter and Shine-Dalgarno sequence. However, we observed that the upstream regulatory regions of the majority of operons having orthologous genes were organized with different usage of promoters and TSSs, resulting in diverse and complex gene regulation. We also found that the 5′ UTR is the least conserved regulatory element in sequence between the two species. Moreover, 34 orthologous sRNAs between E. coli and K. pneumoniae were analyzed in depth. The analysis suggested many of K. pneumoniae sRNAs might regulate the target genes as in E. coli.

Transcriptional regulation of the gene cluster encoding allantoinase and guanine deaminase in Klebsiella pneumoniae

Purines can be used as the sole source of nitrogen by several strains of K. pneumoniae under aerobic conditions. The genes responsible for the assimilation of purine nitrogens are distributed in three separated clusters in the K. pneumoniae genome. Here, we characterize the cluster encompassing genes KPN_01787 to KPN_01791, which is involved in the conversion of allantoin into allantoate and in the deamination of guanine to xanthine. These genes are organized in three transcriptional units, hpxSAB, hpxC, and guaD. Gene hpxS encodes a regulatory protein of the GntR family that mediates regulation of this system by growth on allantoin. Proteins encoded by hpxB and guaD display allantoinase and guanine deaminase activity, respectively. In this cluster, hpxSAB is the most tightly regulated unit. This operon was activated by growth on allantoin as a nitrogen source; however, addition of allantoin to nitrogen excess cultures did not result in hpxSAB induction. Neither guaD nor hpxC was induced by allantoin. Expression of guaD is mainly regulated by nitrogen availability through the action of NtrC. Full induction of hpxSAB by allantoin requires both HpxS and NAC. HpxS may have a dual role, acting as a repressor in the absence of allantoin and as an activator in its presence. HpxS binds to tandem sites, S1 and S2, overlapping the -10 and -35 sequences of the hpxSAB promoter, respectively. The NAC binding site is located between S1 and S2 and partially overlaps S2. In the presence of allantoin, interplay between NAC and HpxS is proposed.

Regulation of glutamate dehydrogenase expression in Pseudomonas putida results from its direct repression by NtrC under nitrogen-limiting conditions

Nitrogen-regulated genes in enterobacteria are positively controlled by the transcriptional activator of σ(N) -dependent promoters NtrC, either directly or indirectly, through the dual regulator Nac. Similar to enterobacteria, gdhA encoding glutamate dehydrogenase from Pseudomonas putida is one of the few genes that is induced by excess nitrogen. In P. putida, the binding of NtrC to the gdhA promoter region and in vitro transcription suggest that, unlike its enterobacterial homologue that is repressed by Nac, gdhA is directly repressed by NtrC. Footprinting analyses demonstrated that NtrC binds to four distinct sites in the gdhA promoter. NtrC dimers bind cooperatively, and those bound closer to the promoter interact with the dimers bound further upstream, thus producing a proposed repressor loop in the DNA. The formation of the higher-order complex and the repressor loop appears to be important for repression but not absolutely essential. Both the phosphorylated and the non-phosphorylated forms of NtrC efficiently repressed gdhA transcription in vitro and in vivo. Therefore, NtrC repression of gdhA under nitrogen-limiting conditions does not depend on the phosphorylation of the regulator; rather, it relies on an increase in the repressor concentration under these conditions.

Genetic analysis of the nitrogen assimilation control protein from Klebsiella pneumoniae

The nitrogen assimilation control protein (NAC) from Klebsiella pneumoniae is a typical LysR-type transcriptional regulator (LTTR) in many ways. However, the lack of a physiologically relevant coeffector for NAC and the fact that NAC can carry out many of its functions as a dimer make NAC unusual among the LTTRs. In the absence of a crystal structure for NAC, we analyzed the effects of amino acid substitutions with a variety of phenotypes in an attempt to identify functionally important features of NAC. A substitution that changed the glutamine at amino acid 29 to alanine (Q29A) resulted in a NAC that was seriously defective in binding to DNA. The H26D substitution resulted in a NAC that could bind and repress transcription but not activate transcription. The I71A substitution resulted in a NAC polypeptide that remained monomeric. NAC tetramers can bind to both long and shorter binding sites (like other LTTRs). However, the absence of a coeffector to induce the conformational change needed for the switch from the former to the latter raised a question. Are there two conformations of NAC, analogous to the other LTTRs? The G217R substitution resulted in a NAC that could bind to the longer sites but had difficulty in binding to the shorter sites, and the I222R and A230R substitutions resulted in a NAC that could bind to the shorter sites but had difficulty in binding properly to the longer sites. Thus, there appear to be two conformations of NAC that can freely interconvert in the absence of a coeffector.

A NAC for regulating metabolism: the nitrogen assimilation control protein (NAC) from Klebsiella pneumoniae

The nitrogen assimilation control protein (NAC) is a LysR-type transcriptional regulator (LTTR) that is made under conditions of nitrogen-limited growth. NAC's synthesis is entirely dependent on phosphorylated NtrC from the two-component Ntr system and requires the unusual sigma factor σ54 for transcription of the nac gene. NAC activates the transcription of σ70-dependent genes whose products provide the cell with ammonia or glutamate. NAC represses genes whose products use ammonia and also represses its own transcription. In addition, NAC also subtly adjusts other cellular functions to keep pace with the supply of biosynthetically available nitrogen.

Properties of the NAC (nitrogen assimilation control protein)-binding site within the ureD promoter of Klebsiella pneumoniae

The nitrogen assimilation control protein (NAC) of Klebsiella pneumoniae is a LysR-type transcriptional regulator that activates transcription when bound to a DNA site (ATAA-N5-TnGTAT) centered at a variety of distances from the start of transcription. The NAC-binding site from the hutU promoter (NBShutU) is centered at -64 relative to the start of transcription but can activate the lacZ promoter from sites at -64, -54, -52, and -42 but not from sites at -47 or -59. However, the NBSs from the ureD promoter (ureDp) and codB promoter (codBp) are centered at -47 and -59, respectively, and NAC is fully functional at these promoters. Therefore, we compared the activities of the NBShutU and NBSureD within the context of ureDp as well as within codBp. The NBShutU functioned at both of these sites. The NBSureD has the same asymmetric core as the NBShutU. Inverting the NBSureD abolished more than 99% of NAC's ability to activate ureDp. The key to the activation lies in the TnG segment of the TnGTAT half of the NBSureD. Changing TnG to GnT, TnT, or GnG drastically reduced ureDp activation (to 0.5%, 6%, or 15% of wild-type activation, respectively). The function of the NBSureD, like that of the NBShutU, requires that the TnGTAT half of the NBS be on the promoter-proximal (downstream) side of the NBS. Taken together, our data suggest that the positional specificity of an NBS is dependent on the promoter in question and is more flexible than previously thought, allowing considerable latitude both in distance and on the face of the DNA helix for the NBS relative to that of RNA polymerase.

The LysR-type nitrogen assimilation control protein forms complexes with both long and short DNA binding sites in the absence of coeffectors

Most LysR-type transcriptional regulators (LTTRs) function as tetramers when regulating gene expression. The nitrogen assimilation control protein (NAC) generally functions as a dimer when binding to DNA and activating transcription. However, at some sites, NAC binds as a tetramer. Like many LTTRs, NAC tetramers can recognize sites with long footprints (74 bp for the site at nac) with a substantial DNA bend or short footprints (56 bp for the site at cod) with less DNA bending. However, unlike other LTTRs, NAC can recognize both types of sites in the absence of physiologically relevant coeffectors, suggesting that the two conformers of the NAC tetramer (extended and compact) are interchangeable without the need for any modification to induce or stabilize the change. In order for NAC to bind as a tetramer, three interactions must exist: an interaction between the two NAC dimers and an interaction between each NAC dimer and its corresponding binding site. The interaction between one dimer and its DNA site can be weak (recognizing a half-site rather than a full dimer-binding site), but the other two interactions must be strong. Since the conformation of the NAC tetramer (extended or compact) is determined by the nature of the DNA site without the intervention of a small molecule, we argue that the coeffector that determines the conformation of the NAC tetramer is the DNA site to which it binds.

Expanded role for the nitrogen assimilation control protein in the response of Klebsiella pneumoniae to nitrogen stress

Klebsiella pneumoniae is able to utilize many nitrogen sources, and the utilization of some of these nitrogen sources is dependent on the nitrogen assimilation control (NAC) protein. Seven NAC-regulated promoters have been characterized in K. pneumoniae, and nine NAC-regulated promoters have been found by microarray analysis in Escherichia coli. So far, all characterized NAC-regulated promoters have been directly related to nitrogen metabolism. We have used a genome-wide analysis of NAC binding under nitrogen limitation to identify the regions of the chromosome associated with NAC in K. pneumoniae. We found NAC associated with 99 unique regions of the chromosome under nitrogen limitation. In vitro, 84 of the 99 regions associate strongly enough with purified NAC to produce a shifted band by electrophoretic mobility shift assay. Primer extension analysis of the mRNA from genes associated with 17 of the fragments demonstrated that at least one gene associated with each fragment was NAC regulated under nitrogen limitation. The large size of the NAC regulon in K. pneumoniae indicates that NAC plays a larger role in the nitrogen stress response than it does in E. coli. Although a majority of the genes with identifiable functions that associated with NAC under nitrogen limitation are involved in nitrogen metabolism, smaller subsets are associated with carbon and energy acquisition (18 genes), and growth rate control (10 genes). This suggests an expanded role for NAC regulation during the nitrogen stress response, where NAC not only regulates genes involved in nitrogen metabolism but also regulates genes involved in balancing carbon and nitrogen pools and growth rate.

The structure of CrgA from Neisseria meningitidis reveals a new octameric assembly state for LysR transcriptional regulators

LysR-type transcriptional regulators (LTTRs) form the largest family of bacterial regulators acting as both auto-repressors and activators of target promoters, controlling operons involved in a wide variety of cellular processes. The LTTR, CrgA, from the human pathogen Neisseria meningitidis, is upregulated during bacterial–host cell contact. Here, we report the crystal structures of both regulatory domain and full-length CrgA, the first of a novel subclass of LTTRs that form octameric rings. Non-denaturing mass spectrometry analysis and analytical ultracentrifugation established that the octameric form of CrgA is the predominant species in solution in both the presence and absence of an oligonucleotide encompassing the CrgA-binding sequence. Furthermore, analysis of the isolated CrgA–DNA complex by mass spectrometry showed stabilization of a double octamer species upon DNA binding. Based on the observed structure and the mass spectrometry findings, a model is proposed in which a hexadecameric array of two CrgA oligomers binds to its DNA target site.

Crystallization and preliminary X-ray analysis of CrgA, a LysR-type transcriptional regulator from pathogenic Neisseria meningitidis MC58

Although LysR-type regulators (LTTRs) represent the largest family of transcriptional regulators in bacteria, the full-length structure of only one annotated LTTR (CbnR) has been deposited in the PDB. CrgA, a LTTR from pathogenic Neisseria meningitidis MC58, which is up-regulated upon bacterial cell contact with human epithelial cells, has been cloned, purified and crystallized. Crystals of full-length CrgA were obtained after buffer screening with a thermal shift assay and concentration with 0.2 M NDSB-256. Data were collected from two crystal forms of full-length CrgA belonging to space groups P2(1)2(1)2(1) and P2(1), diffracting to 3.0 and 3.8 A resolution and consistent with the presence of between six and ten and between ten and 20 copies of CrgA in the asymmetric unit, respectively. In addition, diffraction data were collected to 2.3 A resolution from the selenomethionine derivative of the regulatory domain of CrgA. The crystals belonged to space group P2(1) and contained two molecules in the asymmetric unit.

The ArgP protein stimulates the Klebsiella pneumoniae gdhA promoter in a lysine-sensitive manner

The lysine-sensitive factor that binds to the upstream region of the Klebsiella pneumoniae gdhA promoter and stimulates gdhA transcription during growth in minimal medium has been proposed to be the K. pneumoniae ArgP protein (M. R. Nandineni, R. S. Laishram, and J. Gowrishankar, J. Bacteriol. 186:6391-6399, 2004). A knockout mutation of the K. pneumoniae argP gene was generated and used to assess the roles of exogenous lysine and argP in the regulation of the gdhA promoter. Disruption of argP reduced the strength and the lysine-dependent regulation of the gdhA promoter. Electrophoretic mobility shift assays using crude extracts prepared from wild-type and argP-defective strains indicted the presence of an argP-dependent factor whose ability to bind the gdhA promoter was lysine sensitive. DNase I footprinting studies using purified K. pneumoniae ArgP protein indicated that ArgP bound the region that lies approximately 50 to 100 base pairs upstream of the gdhA transcription start site in a manner that was sensitive to the presence of lysine. Substitutions within the region bound by ArgP affected the binding of ArgP to the gdhA promoter region in vitro and the argP-dependent stimulation of the gdhA promoter in vivo. These observations suggest that elevated intracellular levels of lysine reduce the affinity of ArgP for its binding site at the gdhA promoter, preventing ArgP from binding to and stimulating transcription from the promoter in vivo.

Transcriptome analysis of Pseudomonas putida in response to nitrogen availability

This work describes a regulatory network of Pseudomonas putida controlled in response to nitrogen availability. We define NtrC as the master nitrogen regulator and suggest that it not only activates pathways for the assimilation of alternative nitrogen sources but also represses carbon catabolism under nitrogen-limited conditions, possibly to prevent excessive carbon and energy flow in the cell.

Transient dynamics of genetic regulatory networks

We present an approximation scheme for deriving reaction rate equations of genetic regulatory networks. This scheme predicts the timescales of transient dynamics of such networks more accurately than does standard quasi-steady state analysis by introducing prefactors to the ODEs that govern the dynamics of the protein concentrations. These prefactors render the ODE systems slower than their quasi-steady state approximation counterparts. We introduce the method by examining a positive feedback gene regulatory network, and show how the transient dynamics of this network are more accurately modeled when the prefactor is included. Next, we examine the repressilator, a genetic oscillator, and show that the period, amplitude, and bifurcation diagram defining the onset of the oscillations are better estimated by the prefactor method. Finally, we examine the consequences of the method to the dynamics of reduced models of the phage lambda switch, and show that the switching times between the two states is slowed by the presence of the prefactor that arises from protein multimerization and DNA binding.