Polymerase/DNA interactions and enzymatic activity: multi-parameter analysis with electro-switchable biosurfaces

Design and Optimization of Isothermal Gene Amplification for Generation of High-Gain Oligonucleotide Products by MicroRNAs

Thermal cycling-based quantitative polymerase chain reaction (qPCR) represents the gold standard method for accurate and sensitive nucleic acid quantification in laboratory settings. However, its reliance on costly thermal cyclers limits the implementation of this technique for rapid point-of-care (POC) diagnostics. To address this, isothermal amplification techniques such as rolling circle amplification (RCA) have been developed, offering a simpler alternative that can operate without the need for sophisticated instrumentation. This study focuses on the development and optimization of toehold-mediated RCA (TRCA), which employs a conformationally switchable dumbbell DNA template for the sensitive and selective detection of cancer-associated miRNAs, specifically miR-21. In addition, we developed variants of hyperbranched TRCA (HTRCA), nicking-assisted TRCA (NTRCA), and hyperbranched NTRCA (HNTRCA) to facilitate exponential amplification by enhancing TRCA through the sequential incorporation of reverse primer (Pr) and nicking endonuclease (nE). By conducting a systematic kinetic analysis of the initial rate and end point signals for varying concentrations of key reaction components, we could identify optimal conditions that markedly enhanced the sensitivity and specificity of the TRCA variants. In particular, HNTRCA, which exploits the synergistic effect of Pr and nE, demonstrated an approximately 3000-fold improvement in the detection limit (260 fM) and a wider dynamic range of more than 4 log orders of magnitude compared to TRCA, thereby evidencing its superior performance. Also, we established a mechanistic model for TRCA that includes the roles of Pr and nE in different amplification processes. Model parameters were fitted to the experimental data, and additional simulations were conducted to compare the four amplification methods. Further tests with real biological samples revealed that this technique showed a good correlation with qPCR in quantifying miR-21 expression in various cell lines (0.9510 of Pearson's r), confirming its potential as a robust and rapid tool for nucleic acid detection. Therefore, the simplicity, high sensitivity, and potential for integration with POC diagnostic platforms make the HNTRCA system suitable for field deployment in resource-limited environments.

Reverse transcription as key step in RNA in vitro evolution with unnatural base pairs

Unnatural base pairs (UBPs) augment the chemical diversity of artificial nucleic acids and can thus enable the generation of new aptamers and catalytic nucleic acids by in vitro selection. However, owing to a lack of methodologies, the reverse transcription of UBPs, a key step in RNA aptamer selection, has not been sufficiently characterized. Here, we present a series of versatile assays to investigate the reverse transcription of the TPT3:NaM base pair as a representative for hydrophobic unnatural base pairs. We determine the fidelity and retention of the UBP for four different reverse transcriptases (RT) in the context of RNA in vitro evolution. The retention of the TPT3:NaM pair during the RNA in vitro selection process was investigated using a novel click-chemistry based electromobility shift assay. Real-time monitoring of reverse transcription kinetics revealed considerable differences in polymerase activity processing the TPT3:NaM base pair. Our findings identified SuperScript IV RT as the most efficient RT for processing the TPT3:NaM pair. Our approach can be applied universally to study newly developed UBPs, not only at the reverse transcription level, but also during PCR and in vitro transcription.

Nucleic Acid Quantification with Amplicon Yield in Recombinase Polymerase Amplification

Amplification-based quantitative polymerase chain reaction (qPCR) provides accurate and sensitive nucleic acid quantification. However, the requirement of temperature cycling and real-time monitoring limits its translation to many settings. Quantitative isothermal amplification methods alleviate the need for thermal cyclers; however, they still require continuous monitoring of the nucleic acid amplification on sophisticated readers. Here, we adapted an isothermal recombinase polymerase amplification (RPA) reaction to develop a semiquantitative method that relies on the final amplicon yield to estimate the initial target nucleic acid copy number. To achieve this, we developed a phenomenological model that captures the essential RPA dynamics. We identified reaction conditions that constrained the reaction yield corresponding to the starting DNA template concentration. We validated these predictions experimentally and showed that the amplicon yields at the end of the RPA reaction correlated well with the starting DNA concentration while reducing nonspecific amplification robustly. We demonstrate this approach, termed quantitative endpoint RPA (qeRPA), to detect DNA over five log orders with a detection limit of 100 molecules. Using a linear regression model of the normalized endpoint intensity (NEI) standard curve, we estimate the viral load from the serum of dengue virus-infected patients with comparable performance to qPCR. Unlike the conventional isothermal quantitative methods, qeRPA can be employed for robust and sensitive nucleic acid estimation at close to room temperature without real-time monitoring and can be beneficial for field deployment in resource-limited settings.

Application of the SwitchSense Technique for the Study of Small Molecules’ (Ethidium Bromide and Selected Sulfonamide Derivatives) Affinity to DNA in Real Time

The discovery and introduction of the switchSense technique in the chemical laboratory have drawn well-deserved interest owing to its wide range of applications. Namely, it can be used to determine the diameter of proteins, alterations in their tertiary structures (folding), and many other conformational changes that are important from a biological point of view. The essence of this technique is based on its ability to study of the interactions between an analyte and a ligand in real time (in a buffer flow). Its simplicity, on the other hand, is based on the use of a signaling system that provides information about the ongoing interactions based on the changes in the fluorescence intensity. This technique can be extremely advantageous in the study of new pharmaceuticals. The design of compounds with biological activity, as well as the determination of their molecular targets and modes of interactions, is crucial in the search for new drugs and the fight against drug resistance. This article presents another possible application of the switchSense technique for the study of the binding kinetics of small model molecules such as ethidium bromide (EB) and selected sulfonamide derivatives with DNA in the static and dynamic modes at three different temperatures (15, 25, and 37 °C) each. The experimental results remain in very good agreement with the molecular dynamics docking ones. These physicochemical insights and applications obtained from the switchSense technique allow for the design of an effective strategy for molecular interaction assessments of small but pharmaceutically important molecules with DNA.

The Effects of Temperature on Cellular Physiology

Temperature impacts biological systems across all length and timescales. Cells and the enzymes that comprise them respond to temperature fluctuations on short timescales, and temperature can affect protein folding, the molecular composition of cells, and volume expansion. Entire ecosystems exhibit temperature-dependent behaviors, and global warming threatens to disrupt thermal homeostasis in microbes that are important for human and planetary health. Intriguingly, the growth rate of most species follows the Arrhenius law of equilibrium thermodynamics, with an activation energy similar to that of individual enzymes but with maximal growth rates and over temperature ranges that are species specific. In this review, we discuss how the temperature dependence of critical cellular processes, such as the central dogma and membrane fluidity, contributes to the temperature dependence of growth. We conclude with a discussion of adaptation to temperature shifts and the effects of temperature on evolution and on the properties of microbial ecosystems.

Single-molecule Taq DNA polymerase dynamics

Taq DNA polymerase functions at elevated temperatures with fast conformational dynamics-regimes previously inaccessible to mechanistic, single-molecule studies. Here, single-walled carbon nanotube transistors recorded the motions of Taq molecules processing matched or mismatched template-deoxynucleotide triphosphate pairs from 22° to 85°C. By using four enzyme orientations, the whole-enzyme closures of nucleotide incorporations were distinguished from more rapid, 20-μs closures of Taq's fingers domain testing complementarity and orientation. On average, one transient closure was observed for every nucleotide binding event; even complementary substrate pairs averaged five transient closures between each catalytic incorporation at 72°C. The rate and duration of the transient closures and the catalytic events had almost no temperature dependence, leaving all of Taq's temperature sensitivity to its rate-determining open state.

Modified cytosines versus cytosine in a DNA polymerase: retrieving thermodynamic and kinetic constants at the single molecule level

DNA methylation plays key roles in various areas, such as gene expression, regulation, epigenetics, and cancers. Since 5-methylcytosine (5mC) is commonly present in methylated DNA, characterizing the binding kinetics and thermodynamics of the nucleotide to the enzymatic pocket can help to understand the DNA replication process. Furthermore, 5-carboxycytosine (5caC) is a form that appears through the iterative oxidation of 5mC, and its effect on the DNA replication process is still not well known. Here, we immobilized a DNA polymerase (DNAP) with an orientation control on a tip of an atomic force microscope (AFM), and observed the interaction between the immobilized deoxyguanosine triphosphate (dGTP) on the surface and the DNAP in the presence of a DNA duplex. The interaction probability increased as the concentration of the DNA strand, and the affinity constant between the DNAP and DNA was obtained by fitting the change. Increasing the concentration of dGTP in solution diminished the interaction probability, and a fitting allowed us to retrieve the affinity constant between dGTP and the DNAP holding the DNA in the reaction pocket. Because the dissociation constant could be obtained through the loading rate dependence of the unbinding force value, both affinity and kinetic constants for cytosine (C), 5mC, and 5caC in the DNAP were compared in the light of the steric and electronic effect of the substituents at 5-position of cytosine.

What Can Electrochemical Methods Offer in Determining DNA-Drug Interactions?

The interactions of compounds with DNA have been studied since the recognition of the role of nucleic acid in organisms. The design of molecules which specifically interact with DNA sequences allows for the control of the gene expression. Determining the type and strength of such interaction is an indispensable element of pharmaceutical studies. Cognition of the therapeutic action mechanisms is particularly important for designing new drugs. Owing to their sensitivity, simplicity, and low costs, electrochemical methods are increasingly used for this type of research. Compared to other techniques, they require a small number of samples and are characterized by a high reliability. These methods can provide information about the type of interaction and the binding strength, as well as the damage caused by biologically active molecules targeting the cellular DNA. This review paper summarizes the various electrochemical approaches used for the study of the interactions between pharmaceuticals and DNA. The main focus is on the papers from the last decade, with particular attention on the voltammetric techniques. The most preferred experimental approaches, the electrode materials and the new methods of modification are presented. The data on the detection ranges, the binding modes and the binding constant values of pharmaceuticals are summarized. Both the importance of the presented research and the importance of future prospects are discussed.

Signaling pathways have an inherent need for noise to acquire information

BACKGROUND

All living systems acquire information about their environment. At the cellular level, they do so through signaling pathways. Such pathways rely on reversible binding interactions between molecules that detect and transmit the presence of an extracellular cue or signal to the cell's interior. These interactions are inherently stochastic and thus noisy. On the one hand, noise can cause a signaling pathway to produce the same response for different stimuli, which reduces the amount of information a pathway acquires. On the other hand, in processes such as stochastic resonance, noise can improve the detection of weak stimuli and thus the acquisition of information. It is not clear whether the kinetic parameters that determine a pathway's operation cause noise to reduce or increase the acquisition of information.

RESULTS

We analyze how the kinetic properties of the reversible binding interactions used by signaling pathways affect the relationship between noise, the response to a signal, and information acquisition. Our results show that, under a wide range of biologically sensible parameter values, a noisy dynamic of reversible binding interactions is necessary to produce distinct responses to different stimuli. As a consequence, noise is indispensable for the acquisition of information in signaling pathways.

CONCLUSIONS

Our observations go beyond previous work by showing that noise plays a positive role in signaling pathways, demonstrating that noise is essential when such pathways acquire information.

Distance Dependence of Single-Molecule Energy Transfer to Graphene Measured with DNA Origami Nanopositioners

Despite the thorough investigation of graphene since 2004, altering its surface chemistry and reproducible functionalization remain challenging. This hinders fabrication of more complex hybrid materials with controlled architectures, and as a consequence the development of sensitive and reliable sensors and biological assays. In this contribution, we introduce DNA origami structures as nanopositioners for placing single dye molecules at controlled distances from graphene. The measurements of fluorescence intensity and lifetime of single emitters carried out for distances ranging from 3 to 58 nm confirmed the d^-4 dependence of the excitation energy transfer to graphene. Moreover, we determined the characteristic distance for 50% efficiency of the energy transfer from single dyes to graphene to be 17.7 nm. Using pyrene molecules as a glue to immobilize DNA origami nanostructures of various shape on graphene opens new possibilities to develop graphene-based biophysics and biosensing.

Triazine-Modified 7-Deaza-2'-deoxyadenosines: Better Suited for Bioorthogonal Labeling of DNA by PCR than 2'-Deoxyuridines

6-Ethynyl-1,2,4-triazine is a small bioorthogonally reactive group we applied for fluorescent labeling of oligonucleotides by Diels-Alder reactions with inverse electron demand. We synthetically attached this functional group to the 7-position of 7-deaza-2'-deoxyadenosine triphosphate and to the 5-position of 2'-deoxyuridine triphosphate. Both modified nucleotide triphosphates were used in comparison for primer extension experiments (PEX) and PCR amplification to finally yield multilabeled oligonucleotides by the postsynthetic reaction with a highly reactive bicyclo[6.1.0]nonyne-rhodamine conjugate. These experiments show that 6-ethynyl-1,2,4-triazine is much better tolerated by the DNA polymerase when attached to the 7-position of 7-deaza-2'-deoxyadenosine in comparison to the attachment at the 5-position of 2'-deoxyuridine. This became evident both by PAGE analysis of the PCR products and real-time kinetic observation of DNA polymerase activity during primer extension using switchSENSE. Generally, our results imply that bioorthogonal labeling strategies are better suited for 7-deaza-2'-adenosines than conventional and available 2'-deoxyuridines.

Assembly and Characterization of a Slingshot DNA Nanostructure for the Analysis of Bivalent and Bispecific Analytes with Biosensors

The characterization of novel therapeutic antibodies with multivalent or multispecific binding sites requires new measurement modalities for biosensors, to discriminate the engagement of antigens via one, two, or even more binding moieties. The presentation of antigens on a sensor surface in a well-controlled spatial arrangement is a prerequisite for the successful interpretation of binding kinetics measurements of multivalent analytes, but the adjustment of defined distances between immobilized ligands is difficult to achieve in state-of-the-art biosensor systems. Here, we introduce a simple DNA nanostructure resembling a slingshot, which can be configured with two identical or two different antigens (bivalent or bispecific), which are spaced at a defined distance. We characterize the slingshot structure with a chip-based biosensor using electrically switchable DNA nanolevers and demonstrate that bivalent and monovalent antibodies selectively interact with slingshots that have been functionalized with two identical or two different antigens, respectively. The dissociation kinetics are quantified in real-time measurements and we show that the slingshot structure enables a clear differentiation between affinity and avidity effects.

DNA Primer Extension with Cyclopropenylated 7-Deaza-2'-deoxyadenosine and Efficient Bioorthogonal Labeling in Vitro and in Living Cells

A deoxyadenosine triphosphate (dATP) analogue for DNA labeling was synthesized with the 1-methylcyclopropene (1MCP) group at the 7-position of 7-deaza-2'-deoxyadenosine and applied for primer extension experiments. The real-time kinetic data reveals that this 1MCP-modified dATP analogue is incorporated into DNA much faster than that of the similarly 1MCP-modified deoxyuridine triphosphate (dUTP) analogue. The postsynthetic fluorescent labeling of these oligonucleotides works efficiently according to PAGE analysis, and can be applied for immobilization of a functional antibody on a surface. Site-specific labeling at two different positions in DNA was achieved and the bioorthogonality of the postsynthetic fluorescent labeling was demonstrated in living HeLa cells.

ANKRD16 prevents neuron loss caused by an editing-defective tRNA synthetase

Editing domains of aminoacyl tRNA synthetases correct tRNA charging errors to maintain translational fidelity. A mutation in the editing domain of alanyl tRNA synthetase (AlaRS) in Aars sti mutant mice results in an increase in the production of serine-mischarged tRNAAla and the degeneration of cerebellar Purkinje cells. Here, using positional cloning, we identified Ankrd16, a gene that acts epistatically with the Aars sti mutation to attenuate neurodegeneration. ANKRD16, a vertebrate-specific protein that contains ankyrin repeats, binds directly to the catalytic domain of AlaRS. Serine that is misactivated by AlaRS is captured by the lysine side chains of ANKRD16, which prevents the charging of serine adenylates to tRNAAla and precludes serine misincorporation in nascent peptides. The deletion of Ankrd16 in the brains of Aarssti/sti mice causes widespread protein aggregation and neuron loss. These results identify an amino-acid-accepting co-regulator of tRNA synthetase editing as a new layer of the machinery that is essential to the prevention of severe pathologies that arise from defects in editing.

A single-molecule FRET sensor for monitoring DNA synthesis in real time

We developed a versatile DNA assay and framework for monitoring polymerization of DNA in real time and at the single-molecule level. The assay consists of an acceptor labelled DNA primer annealed to a DNA template that is labelled on its single stranded, downstream overhang with a donor fluorophore. Upon extension of the primer using a DNA polymerase, the overhang of the template alters its conformation from a random coil to the canonical structure of double stranded DNA. This conformational change increases the distance between the donor and the acceptor fluorophore and can be detected as a decrease in the Förster resonance energy transfer (FRET) efficiency between both fluorophores. Remarkably, the DNA assay does not require any modification of the DNA polymerase and albeit the simple and robust spectroscopic readout facilitates measurements even with conventional fluorimeters or stopped-flow equipment, single-molecule FRET provides additional access to parameters such as the processivity of DNA synthesis and, for one of the three DNA polymerases tested, the detection of binding and dissociation of the DNA polymerase to DNA. We furthermore demonstrate that primer extensions by a single base can be resolved.

DNA synthesis from diphosphate substrates by DNA polymerases

The activity of DNA polymerase underlies numerous biotechnologies, cell division, and therapeutics, yet the enzyme remains incompletely understood. We demonstrate that both thermostable and mesophilic DNA polymerases readily utilize deoxyribonucleoside diphosphates (dNDPs) for DNA synthesis and inorganic phosphate for the reverse reaction, that is, phosphorolysis of DNA. For Taq DNA polymerase, the K_Ms of the dNDP and phosphate substrates are ∼20 and 200 times higher than for dNTP and pyrophosphate, respectively. DNA synthesis from dNDPs is about 17 times slower than from dNTPs, and DNA phosphorolysis about 200 times less efficient than pyrophosphorolysis. Such parameters allow DNA replication without requiring coupled metabolism to sequester the phosphate products, which consequently do not pose a threat to genome stability. This mechanism contrasts with DNA synthesis from dNTPs, which yield high-energy pyrophosphates that have to be hydrolyzed to phosphates to prevent the reverse reaction. Because the last common ancestor was likely a thermophile, dNDPs are plausible substrates for genome replication on early Earth and may represent metabolic intermediates later replaced by the higher-energy triphosphates.

Mapping the sugar dependency for rational generation of a DNA-RNA hybrid-guided Cas9 endonuclease

The CRISPR-Cas9 RNA-guided endonuclease system allows precise and efficient modification of complex genomes and is continuously developed to enhance specificity, alter targeting and add new functional moieties. However, one area yet to be explored is the base chemistry of the associated RNA molecules. Here we show the design and optimisation of hybrid DNA-RNA CRISPR and tracr molecules based on structure-guided approaches. Through careful mapping of the ribose requirements of Cas9, we develop hybrid versions possessing minimal RNA residues, which are sufficient to direct specific nuclease activity in vitro and in vivo with reduced off-target activity. We identify critical regions within these molecules that require ribose nucleotides and show a direct correlation between binding affinity/stability and cellular activity. This is the first demonstration of a non-RNA-guided Cas9 endonuclease and first step towards eliminating the ribose dependency of Cas9 to develop a XNA-programmable endonuclease.

Recent progress in dissecting molecular recognition by DNA polymerases with non-native substrates

DNA polymerases must discriminate the correct Watson-Crick base pair-forming deoxynucleoside triphosphate (dNTP) substrate from three other dNTPs and additional triphosphates found in the cell. The rarity of misincorporations in vivo, then, belies the high tolerance for dNTP analogs observed in vitro. Advances over the last 10 years in single-molecule fluorescence and electronic detection of dNTP analog incorporation enable exploration of the mechanism and limits to base discrimination by DNA polymerases. Such studies reveal transient motions of DNA polymerase during substrate recognition and mutagenesis in the context of erroneous dNTP incorporation that can lead to evolution and genetic disease. Further improvements in time resolution and noise reduction of single-molecule studies will uncover deeper mechanistic understanding of this critical, first step in evolution.

Structural study of the Fox-1 RRM protein hydration reveals a role for key water molecules in RRM-RNA recognition

The Fox-1 RNA recognition motif (RRM) domain is an important member of the RRM protein family. We report a 1.8 Å X-ray structure of the free Fox-1 containing six distinct monomers. We use this and the nuclear magnetic resonance (NMR) structure of the Fox-1 protein/RNA complex for molecular dynamics (MD) analyses of the structured hydration. The individual monomers of the X-ray structure show diverse hydration patterns, however, MD excellently reproduces the most occupied hydration sites. Simulations of the protein/RNA complex show hydration consistent with the isolated protein complemented by hydration sites specific to the protein/RNA interface. MD predicts intricate hydration sites with water-binding times extending up to hundreds of nanoseconds. We characterize two of them using NMR spectroscopy, RNA binding with switchSENSE and free-energy calculations of mutant proteins. Both hydration sites are experimentally confirmed and their abolishment reduces the binding free-energy. A quantitative agreement between theory and experiment is achieved for the S155A substitution but not for the S122A mutant. The S155 hydration site is evolutionarily conserved within the RRM domains. In conclusion, MD is an effective tool for predicting and interpreting the hydration patterns of protein/RNA complexes. Hydration is not easily detectable in NMR experiments but can affect stability of protein/RNA complexes.

switchSENSE: A new technology to study protein-RNA interactions

Characterization of RNA-binding protein interactions with RNA became inevitable to properly understand the cellular mechanisms involved in gene expression regulation. Structural investigations bring information at the atomic level on these interactions and complementary methods such as Isothermal Titration Calorimetry (ITC) and Surface Plasmon Resonance (SPR) are commonly used to quantify the affinity of these RNA-protein complexes and evaluate the effect of mutations affecting these interactions. The switchSENSE technology has recently been developed and already successfully used to investigate protein interactions with different types of binding partners (DNA, protein/peptide or even small molecules). In this study, we show that this method is also well suited to study RNA binding proteins (RBPs). We could successfully investigate the binding to RNA of three different RBPs (Fox-1, SRSF1 and Tra2-β1) and obtained K_D values very close to the ones determined previously by SPR or ITC for these complexes. These results show that the switchSENSE technology can be used as an alternative method to study protein-RNA interactions with K_D values in the low micromolar (10^-6) to nanomolar (10^-7-10^-9) and probably picomolar (10^-10-10^-12) range. The absence of labelling requirement for the analyte molecules and the use of very low amounts of protein and RNA molecules make the switchSENSE approach very attractive compared to other methods. Finally, we discuss about the potential of this approach in obtaining more sophisticated information such as structural conformational changes upon RBP binding to RNA.

Label-free optical detection of single enzyme-reactant reactions and associated conformational changes

Monitoring the kinetics and conformational dynamics of single enzymes is crucial to better understand their biological functions because these motions and structural dynamics are usually unsynchronized among the molecules. However, detecting the enzyme-reactant interactions and associated conformational changes of the enzyme on a single-molecule basis remains as a challenge to established optical techniques because of the commonly required labeling of the reactants or the enzyme itself. The labeling process is usually nontrivial, and the labels themselves might skew the physical properties of the enzyme. We demonstrate an optical, label-free method capable of observing enzymatic interactions and associated conformational changes on a single-molecule level. We monitor polymerase/DNA interactions via the strong near-field enhancement provided by plasmonic nanorods resonantly coupled to whispering gallery modes in microcavities. Specifically, we use two different recognition schemes: one in which the kinetics of polymerase/DNA interactions are probed in the vicinity of DNA-functionalized nanorods, and the other in which these interactions are probed via the magnitude of conformational changes in the polymerase molecules immobilized on nanorods. In both approaches, we find that low and high polymerase activities can be clearly discerned through their characteristic signal amplitude and signal length distributions. Furthermore, the thermodynamic study of the monitored interactions suggests the occurrence of DNA polymerization. This work constitutes a proof-of-concept study of enzymatic activities using plasmonically enhanced microcavities and establishes an alternative and label-free method capable of investigating structural changes in single molecules.

Time Course Analysis of Enzyme-Catalyzed DNA Polymerization

Extracting kinetic parameters from DNA polymerase-catalyzed processive polymerization data using traditional initial-rate analysis has proven to be problematic for multiple reasons. The first substrate, DNA template, is a heterogeneous polymer and binds tightly to DNA polymerase. Further, the affinity and speed of incorporation of the second substrate, deoxynucleoside triphosphate (dNTP), vary greatly depending on the nature of the templating base and surrounding sequence. Here, we present a mathematical model consisting of the DNA template-binding step and a Michaelis-Menten-type nucleotide incorporation step acting on a DNA template with a finite length. The model was numerically integrated and globally fitted to experimental reaction time courses. The time courses were determined by monitoring the processive synthesis of oligonucleotides of lengths between 50 and 120 nucleotides by DNA polymerase I (Klenow fragment exo-) using the fluorophore PicoGreen. For processive polymerization, we were able to estimate an enzyme-template association rate k1 of 7.4 μM-1 s-1, a disassociation rate k-1 of 0.07 s-1, and a Kd of 10 nM, and the steady-state parameters for correct dNTP incorporation give kcat values of 2.5-3.3 s-1 and Km values of 0.51-0.86 μM. From the analysis of time courses measured between 5 and 25 °C, an activation energy for kcat of 82 kJ mol-1 was calculated, and it was found that up to 73% of Klenow fragment becomes inactivated or involved in unproductive binding at lower temperatures. Finally, a solvent deuterium kinetic isotope effect (KIE) of 3.0-3.2 was observed under processive synthesis conditions, which suggests that either the intrinsic KIE is unusually high, at least 30-40, or previous findings, showing that the phosphoryl transfer step occurs rapidly and is flanked by two slow conformational changes, need to be re-evaluated. We suggest that the numerical integration of rate equations provides a high level of flexibility and generally produces superior results compared to those of initial-rate analysis in the study of DNA polymerase kinetics and, by extension, other complex enzyme systems.

Mathematics analysis of polymerase chain reaction kinetic curves

The paper reviews different approaches to the mathematical analysis of polymerase chain reaction (PCR) kinetic curves. The basic principles of PCR mathematical analysis are presented. Approximation of PCR kinetic curves and PCR efficiency curves by various functions is described. Several PCR models based on chemical kinetics equations are suggested. Decision criteria for an optimal function to describe PCR efficiency are proposed.