A possible mechanism for the dynamics of transition between polymerase and exonuclease sites in a high-fidelity DNA polymerase

Accuracy and speed of elongation in a minimal model of DNA replication

Being a dual purpose enzyme, the DNA polymerase is responsible for elongation of the newly formed DNA strand as well as cleaving the erroneous growth in case of a misincorporation. The efficiency of replication depends on the coordination of the polymerization and exonuclease activity of DNA polymerase. Here, we propose and analyze a minimal kinetic model of DNA replication and determine exact expressions for the velocity of elongation and the accuracy of replication. We first analyze the case without exonuclease activity. In that case, accuracy is determined by a kinetic competition between stepping and unbinding, with discrimination between correct and incorrect nucleotides in both transitions. We then include exonuclease activity and ask how different modes of additional discrimination in the exonuclease pathway can improve the accuracy while limiting the detrimental effect of exonuclease on the speed of replication. In this way, we ask how the kinetic parameters of the model have to be set to coordinate the two activities of the enzyme for high accuracy and high speed. The analysis also shows that the design of a replication system does not universally have to follow the speed-accuracy trade-off rule, although it does in the biologically realized parameter range. The accuracy of the process is mainly controlled by the crucial role of stepping after erroneous incorporation, which has impact on both polymerase and exonuclease activities of DNA polymerase.

Proofreading of DNA polymerase: a new kinetic model with higher-order terminal effects

The fidelity of DNA replication by DNA polymerase (DNAP) has long been an important issue in biology. While numerous experiments have revealed details of the molecular structure and working mechanism of DNAP which consists of both a polymerase site and an exonuclease (proofreading) site, there were quite a few theoretical studies on the fidelity issue. The first model which explicitly considered both sites was proposed in the 1970s and the basic idea was widely accepted by later models. However, all these models did not systematically investigate the dominant factor on DNAP fidelity, i.e. the higher-order terminal effects through which the polymerization pathway and the proofreading pathway coordinate to achieve high fidelity. In this paper, we propose a new and comprehensive kinetic model of DNAP based on some recent experimental observations, which includes previous models as special cases. We present a rigorous and unified treatment of the corresponding steady-state kinetic equations of any-order terminal effects, and derive analytical expressions for fidelity in terms of kinetic parameters under bio-relevant conditions. These expressions offer new insights on how the higher-order terminal effects contribute substantially to the fidelity in an order-by-order way, and also show that the polymerization-and-proofreading mechanism is dominated only by very few key parameters. We then apply these results to calculate the fidelity of some real DNAPs, which are in good agreements with previous intuitive estimates given by experimentalists.

Dynamics of DNA polymerase I (Klenow fragment) under external force

During DNA synthesis, high-fidelity DNA polymerase (DNAP) translocates processively along the template by utilizing the chemical energy from nucleotide incorporation. Thus, understanding the chemomechanical coupling mechanism and the effect of external mechanical force on replication velocity are the most fundamental issues for high-fidelity DNAP. Here, based on our proposed model, we take Klenow fragment as an example to study theoretically the dynamics of high-fidelity DNAPs such as the replication velocity versus different types of external force, i.e., a stretching force on the template, a backward force on the enzyme and a forward force on the enzyme. Replication velocity as a function of the template tension with only one adjustable parameter is in good agreement with the available experimental data. The replication velocity is nearly independent of the forward force, even at very low dNTP concentration. By contrast, the backward force has a large effect on the replication velocity, especially at high dNTP concentration. A small backward force can increase the replication velocity and an optimal backward force exists at which the replication velocity has maximum value; with any further increase in the backward force the velocity decreases rapidly. These results can be tested easily by future experiments and are aid our understanding of the chemomechanical coupling mechanism and polymerization dynamics of high-fidelity DNAP.

[The fidelity mechanism of DNA synthesis]

Accurate DNA synthesis is vital to maintain genome stability and ensure propagation of species. Synthetic errors have far reaching consequences. Therefore, DNA synthesis is remarkably accurate. The high fidelity is mainly achieved through three steps: ① nucleotide selection, which is based on hydrogen, base pair shape, or some other elements; ② 3'→5' exonuclease proofreading, which removes mis-incorporated nucleotides in cis or trans; ③ repair process, which could correct mismatched nucleotides escaping from proofreading, such as mismatch repair, excission repair, homologous recombination repair, and translesion DNA synthesis. Because all polymerases are suitable targets for anticancer or antiviral drugs, their fidelity is involved in drug resistance and side effects. Understanding the molecular basis of synthesis fidelity is of vital importance. In this review, the fidelity mechanisms of DNA synthesis will be discussed in detail. Furthermore, their application perspective was discussed.

Error correction during DNA replication

DNA polymerase (DNAP) is a dual-purpose enzyme that plays two opposite roles in two different situations during DNA replication. It plays its a normal role as a polymerase catalyzing the elongation of a new DNA molecule by adding a monomer. However, it can switch to the role of an exonuclease and shorten the same DNA by cleavage of the last incorporated monomer from the nascent DNA. Just as misincorporated nucleotides can escape exonuclease causing a replication error, the correct nucleotide may get sacrificed unnecessarily by erroneous cleavage. The interplay of polymerase and exonuclease activities of a DNAP is explored here by developing a minimal stochastic kinetic model of DNA replication. Exact analytical expressions are derived for a few key statistical distributions; these characterize the temporal patterns in the mechanical stepping and the chemical (cleavage) reaction. The Michaelis-Menten-like analytical expression derived for the average rates of these two processes not only demonstrate the effects of their coupling, but are also utilized to measure the extent of replication error and erroneous cleavage.

A dynamic model for processive transcription elongation and backtracking long pauses by multisubunit RNA polymerases

RNA polymerases are enzymes that transcribe genes from DNA onto strands of RNA. The transcription elongation by multisubunit RNA polymerases is processive but nonuniform: one enzyme can translocate along the DNA template for thousands of nucleotide addition steps but, sometimes, it can enter backtracking long pauses. Here, we present a Brownian ratchet model for the processive transcription elongation and the backtracking long pauses, which is developed based on the available structural and biochemical studies. Using the model, we analytically study the dynamics of the transcription elongation, such as the effects of external force and NTP concentration on the transcription velocity free of pauses, and the dynamics of backtracking long pauses, such as the probabilities of entering and returning from the backtracking pauses, with the analytical results in good agreement with the available single molecule experimental data. Values of several parameters for both Escherichia coli and Saccharomyces cerevisiae RNA polymerases such as their affinities for the DNA/RNA substrate during transcription elongation are determined. Moreover, some testable predictions are presented.

Modeling translocation dynamics of strand displacement DNA synthesis by DNA polymerase I

A model is presented for the translocation dynamics of the strand displacement DNA synthesis by DNA polymerases such as polymerase I family. (i) The model gives an explanation to the experimental results which showed that the rate of strand displacement DNA synthesis is nearly consistent with that of single stranded primer extension synthesis, although the two are expected to have substantial differences in their energetics. (ii) During strand displacement DNA synthesis, the pausing at the specific sequence is considered to be due to an affinity of the fingers subdomain for the specific sequence of dsDNA downstream of the single strand. The theoretical results on the sequence-dependent pausing dynamics such as the mean pausing lifetimes and the distribution of the pausing lifetime are consistent with the experimental data. Moreover, predicted results are presented for the binding affinity of the fingers subdomain for the specific sequence of dsDNA and the dependence of the mean sequence-dependent pausing lifetime on the external force acting on the polymerase.

A nucleotide binding rectification Brownian ratchet model for translocation of Y-family DNA polymerases

Y-family DNA polymerases are characterized by low-fidelity synthesis on undamaged DNA and ability to catalyze translesion synthesis over the damaged DNA. Their translocation along the DNA template is an important event during processive DNA synthesis. In this work we present a Brownian ratchet model for this translocation, where the directed translocation is rectified by the nucleotide binding to the polymerase. Using the model, different features of the available structures for Dpo4, Dbh and polymerase ι in binary and ternary forms can be easily explained. Other dynamic properties of the Y-family polymerases such as the fast translocation event upon dNTP binding for Dpo4 and the considerable variations of the processivity among the polymerases can also be well explained by using the model. In addition, some predicted results of the DNA synthesis rate versus the external force acting on Dpo4 and Dbh polymerases are presented. Moreover, we compare the effect of the external force on the DNA synthesis rate of the Y-family polymerase with that of the replicative DNA polymerase.

A model for the dynamics of mammalian family X DNA polymerases

Based on available structural studies, a model is presented for polymerization dynamics of mammalian family X DNA polymerases, including polymerases β, λ, μ, and terminal deoxynucleotidyl transferase (TdT). Using the model, distinct polymerization activities and processivities of the four polymerases acting on different forms of DNA substrate are analyzed and studied theoretically. A "gradient" of template dependence of polymerases β, λ, μ, and TdT is well explained. The much higher occurrence frequencies of the -1 frameshift DNA synthesis by pols λ and μ than that by pol β are well explained. The theoretical results on the polymerization processivities are also in agreement with the available experimental data.

A model for transition of 5'-nuclease domain of DNA polymerase I from inert to active modes

Bacteria contain DNA polymerase I (PolI), a single polypeptide chain consisting of ∼930 residues, possessing DNA-dependent DNA polymerase, 3′-5′ proofreading and 5′-3′ exonuclease (also known as flap endonuclease) activities. PolI is particularly important in the processing of Okazaki fragments generated during lagging strand replication and must ultimately produce a double-stranded substrate with a nick suitable for DNA ligase to seal. PolI's activities must be highly coordinated both temporally and spatially otherwise uncontrolled 5′-nuclease activity could attack a nick and produce extended gaps leading to potentially lethal double-strand breaks. To investigate the mechanism of how PolI efficiently produces these nicks, we present theoretical studies on the dynamics of two possible scenarios or models. In one the flap DNA substrate can transit from the polymerase active site to the 5′-nuclease active site, with the relative position of the two active sites being kept fixed; while the other is that the 5′-nuclease domain can transit from the inactive mode, with the 5′-nuclease active site distant from the cleavage site on the DNA substrate, to the active mode, where the active site and substrate cleavage site are juxtaposed. The theoretical results based on the former scenario are inconsistent with the available experimental data that indicated that the majority of 5′-nucleolytic processing events are carried out by the same PolI molecule that has just extended the upstream primer terminus. By contrast, the theoretical results on the latter model, which is constructed based on available structural studies, are consistent with the experimental data. We thus conclude that the latter model rather than the former one is reasonable to describe the cooperation of the PolI's polymerase and 5′-3′ exonuclease activities. Moreover, predicted results for the latter model are presented.

Molecular motors that digest their track to rectify Brownian motion: processive movement of exonuclease enzymes

A general model is presented for the processive movement of molecular motors such as λ-exonuclease, RecJ and exonuclease I that use digestion of a DNA track to rectify Brownian motion along this track. Using this model, the translocation dynamics of these molecular motors is studied. The sequence-dependent pausing of λ-exonuclease, which results from a site-specific high affinity DNA interaction, is also studied. The theoretical results are consistent with available experimental data. Moreover, the model is used to predict the lifetime distribution and force dependence of these paused states.