Sequence-dependent kinetic model for transcription elongation by RNA polymerase

Single-molecule analysis of RNA polymerase transcription

The kinetics and mechanisms of transcription are now being investigated by a repertoire of single-molecule techniques, including optical and magnetic tweezers, high-sensitivity fluorescence techniques, and atomic force microscopy. Single-molecule techniques complement traditional biochemical and crystallographic approaches, are capable of detecting the motions and dynamics of individual RNAP molecules and transcription complexes in real time, and make it possible to directly measure RNAP binding to and unwinding of template DNA, as well as RNAP translocation along the DNA during transcript synthesis.

Analytical theory of the nonequilibrium spatial distribution of RNA polymerase translocations

A continuum Fokker-Planck model is considered for the RNA polymerase in the elongation phase, where the topology of a single free energy profile as a function of the translocation variable distinguishes the Brownian ratchet and power stroke mechanisms. The model yields a simple analytical stationary solution for arbitrary functional forms of the free energy. With the translocation potential of mean force estimated by the time-series data of the recent high-resolution single-molecule experiment [Abbondanzieri et al., Nature (London) 438, 460 (2005)], predictions of the model for the mechanical properties agree with experiments quantitatively with reasonable values of parameters. The evolution of the spatial distribution of translocation variable away from equilibrium with increasing nucleoside triphosphate concentration shows qualitatively different behavior in the two alternative scenarios, which could serve as an additional measurable signature of the underlying mechanism.

Stochastic kinetics description of a simple transcription model

We study a stochastic model of transcription kinetics in order to characterize the distributions of transcriptional delay and of elongation rates. Transcriptional delay is the time which elapses between the binding of RNA polymerase to a promoter sequence and its dissociation from the DNA template strand with consequent release of the transcript. Transcription elongation is the process by which the RNA polymerase slides along the template strand. The model considers a DNA template strand with one promoter site and n nucleotide sites, and five types of reaction processes, which we think are key ones in transcription. The chemical master equation is a set of ordinary differential equations in 3(n) variables, where n is the number of bases in the template. This model is too huge to be handled if n is large. We manage to get a reduced Markov model which has only 2n independent variables and can well approximate the original dynamics. We obtain a number of analytical and numerical results for this model, including delay and transcript elongation rate distributions. Recent studies of single-RNA polymerase transcription by using optical-trapping techniques raise an issue of whether the elongation rates measured in a population are heterogeneous or not. Our model implies that in the cases studied, different RNA polymerase molecules move at different characteristic rates along the template strand. We also discuss the implications of this work for the mathematical modeling of genetic regulatory circuits.

Single-molecule approaches reveal the idiosyncrasies of RNA polymerases

Recently developed single-molecule techniques have provided new insights into the function of one of the most complex and highly regulated processes in the cell--the transcription of the DNA template into RNA. This review discusses methods and results from this emerging field, and it puts them in perspective of existing biochemical and structural data.

Thermodynamic and kinetic modeling of transcriptional pausing

We present a statistical mechanics approach for the prediction of backtracked pauses in bacterial transcription elongation derived from structural models of the transcription elongation complex (EC). Our algorithm is based on the thermodynamic stability of the EC along the DNA template calculated from the sequence-dependent free energy of DNA-DNA, DNA-RNA, and RNA-RNA base pairing associated with (i) the translocational and size fluctuations of the transcription bubble; (ii) changes in the associated DNA-RNA hybrid; and (iii) changes in the cotranscriptional RNA secondary structure upstream of the RNA exit channel. The calculations involve no adjustable parameters except for a cutoff used to discriminate paused from nonpaused complexes. When applied to 100 experimental pauses in transcription elongation by Escherichia coli RNA polymerase on 10 DNA templates, the approach produces statistically significant results. We also present a kinetic model for the rate of recovery of backtracked paused complexes. A crucial ingredient of our model is the incorporation of kinetic barriers to backtracking resulting from steric clashes of EC with the cotranscriptionally generated RNA secondary structure, an aspect not included explicitly in previous attempts at modeling the transcription elongation process.

Translocation by T7 RNA polymerase: a sensitively poised Brownian ratchet

Studies of halted T7 RNA polymerase (T7RNAP) elongation complexes (ECs) or of T7RNAP transcription against roadblocks due to DNA-bound proteins indicate that T7RNAP translocates via a passive Brownian ratchet mechanism. Crystal structures of T7RNAP ECs suggest that translocation involves an active power-stroke. However, neither solution studies of halted or slowed T7RNAP ECs, nor crystal structures of static complexes, are necessarily relevant to how T7RNAP translocates during rapid elongation. A recent single molecule study of actively elongating T7RNAPs provides support for the Brownian ratchet mechanism. Here, we obtain additional evidence for the existence of a Brownian ratchet during active T7RNAP elongation by showing that both rapidly elongating and halted complexes are equally sensitive to pyrophosphate. Using chemical nucleases tethered to the polymerase we achieve sub-ångström resolution in measuring the average position of halted T7RNAP ECs and find that the positional equilibrium of the EC is sensitively poised between pre-translocated and post-translocated states. This may be important in maximizing the sensitivity of the polymerase to sequences that cause pausing or termination. We also confirm that a crystallographically observed disorder to order transition in a loop formed by residues 589-612 also occurs in solution and is coupled to pyrophosphate or NTP release. This transition allows the loop to make interactions with the DNA that help stabilize the laterally mobile, ligand-free EC against dissociation.

Single-Molecule Studies on DNA and RNA

DNA and RNA are the most individual molecules known. Therefore, single-molecule experiments with these nucleic acids are particularly useful. This review reports on recent experiments with single DNA and RNA molecules. First, techniques for their preparation and handling are summarised including the use of AFM nanotips and optical or magnetic tweezers. As important detection techniques, conventional and near-field microscopy as well as fluorescence resonance energy transfer (FRET) and fluorescence correlation spectroscopy (FCS) are touched on briefly. The use of single-molecule techniques currently includes force measurements in stretched nucleic acids and in their complexes with binding partners, particularly proteins, and the analysis of DNA by restriction mapping, fragment sizing and single-molecule hybridisation. Also, the reactions of RNA polymerases and enzymes involved in DNA replication and repair are dealt with in some detail, followed by a discussion of the transport of individual nucleic acid molecules during the readout and use of genetic information and during the infection of cells by viruses. The final sections show how the enormous addressability in nucleic acid molecules can be exploited to construct a single-molecule field-effect transistor and a walking single-molecule robot, and how individual DNA molecules can be used to assemble a single-molecule DNA computer.

Sequence heterogeneity and the dynamics of molecular motors

The effect of sequence heterogeneity on the dynamics of molecular motors is reviewed and analysed using a set of recently introduced lattice models. First, we review results for the influence of heterogeneous tracks such as a single strand of DNA or RNA on the dynamics of the motors. We stress how the predicted behaviour might be observed experimentally in anomalous drift and diffusion of motors over a wide range of parameters near the stall force and discuss the extreme limit of strongly biased motors with one-way hopping. We then consider the dynamics in an environment containing a variety of different fuels which supply chemical energy for the motor motion, either on a heterogeneous or on a periodic track. The results for motion along a periodic track are relevant to kinesin motors in a solution with a mixture of different nucleotide triphosphate fuel sources.

Direct observation of base-pair stepping by RNA polymerase

During transcription, RNA polymerase (RNAP) moves processively along a DNA template, creating a complementary RNA. Here we present the development of an ultra-stable optical trapping system with ångström-level resolution, which we used to monitor transcriptional elongation by single molecules of Escherichia coli RNAP. Records showed discrete steps averaging 3.7 +/- 0.6 A, a distance equivalent to the mean rise per base found in B-DNA. By combining our results with quantitative gel analysis, we conclude that RNAP advances along DNA by a single base pair per nucleotide addition to the nascent RNA. We also determined the force-velocity relationship for transcription at both saturating and sub-saturating nucleotide concentrations; fits to these data returned a characteristic distance parameter equivalent to one base pair. Global fits were inconsistent with a model for movement incorporating a power stroke tightly coupled to pyrophosphate release, but consistent with a brownian ratchet model incorporating a secondary NTP binding site.

Archaeal RNA polymerase is sensitive to intrinsic termination directed by transcribed and remote sequences

Archaea are prokaryotes with a single DNA-dependent RNA polymerase (RNAP) that is homologous to, and likely resembles the ancestor of all three eukaryotic RNAPs. In vitro studies have confirmed that initiation by archaeal RNAPs resembles the Pol II system, and we report the first detailed in vitro investigation of archaeal transcription termination. Methanothermobacter thermautotrophicus (M.t.) RNAP is susceptible to intrinsic termination at an intergenic sequence that conforms to a bacterial intrinsic terminator, as well as at bona fide bacterial intrinsic terminators. In contrast to bacterial RNAPs, M.t. RNAP also terminated in response to synthetic and natural oligo-T-rich sequences that were not preceded by sequences with any recognizable potential to form a stable RNA hairpin. Both template topology and temperature influenced the position and extent of termination in vitro, and the results argue that transcription of an upstream sequence can alter the termination response of the archaeal RNAP at a remote downstream sequence.

Nature of the nucleosomal barrier to RNA polymerase II

In the cell, RNA polymerase II (pol II) efficiently transcribes DNA packaged into nucleosomes, but in vitro encounters with the nucleosomes induce catalytic inactivation (arrest) of the pol II core enzyme. To determine potential mechanisms making nucleosomes transparent to transcription in vivo, we analyzed the nature of the nucleosome-induced arrest. We found that the arrests have been detected mostly at positions of strong intrinsic pause sites of DNA. The transient pausing makes pol II vulnerable to arrest, which involves backtracking of the elongation complex for a considerable distance on DNA. The histone-DNA contacts reestablished in front of pol II stabilize backtracked conformation of the polymerase. In agreement with this mechanism, blocking of backtracking prevents nucleosome-induced arrest. Transcript cleavage factor TFIIS reactivates the backtracked complexes and promotes pol II transcription through the nucleosome. Our findings establish the crucial role of elongation factors that suppress pol II pausing and backtracking for transcription in the context of chromatin.

Thinking quantitatively about transcriptional regulation

By thinking about the chemical and physical mechanisms that are involved in the stepwise elongation of RNA transcripts, we can begin to understand the way that these mechanisms are controlled within the cell to reflect the different requirements for transcription that are posed by various metabolic, developmental and disease states. Here, we focus on the mechanistic details of the single-nucleotide addition (or excision) cycle in the transcription process, as this is the level at which many regulatory mechanisms function and can be explained in quantitative terms.

Machinations of a maxwellian demon

The mechanisms by which RNA polymerase moves along DNA during elongation have been difficult to determine experimentally. In this issue of Cell, Bar-Nahum et al. (2005) show that back and forth sliding of RNA polymerase on DNA may be coupled to bending of an alpha helix, which can alternately occlude and expose the NTP binding site. Transcription factors can regulate elongation by modulating this bending motion.