Studies on nucleic acid reassociation kinetics: V. Effects of disparity in tracer and driver fragment lengths.

Measurements are described of the kinetics of nucleic acid strand pair reassociation where the complementary strands are of different lengths and are present in different concentrations. Rate constants for the reaction of labelled fragments ("tracer") with excess complementary strands ("driver") were determined, both for driver fragment length greater than tracer fragment length and for the reverse case. Second order reactions and pseudo-first order reactions utilizing strand separated drivers and tracers were studied. The nucleic acids which served for this investigation were phiX174 DNA and RNA, plasmid RSF2124 DNA and E. coli DNA. Approximate empirical expressions relating driver and tracer fragment lengths with the observed rate constants were obtained for practical use. In long tracer-short driver reactions the observed rate constant for the tracer reaction increases proportionately with tracer length. In long driver-short tracer reactions the rate of tracer reaction is retarded. The latter result is unexpected and appears to represent a departure from standard interpretations of the renaturation reaction.     

A program for least squares analysis of reassociation and hybridization data.

A computer program is described for the rapid calculation of least squares solutions for data fitted to different functions normally used in reassociation and hybridization kinetic measurements. The equations for the fraction not reacted as a function of Cot follow: First order, exp(-kCot); second order, (1+kCot)-1; variable order, (1+kCot)-n; approximate fraction of DNA sequence remaining single stranded, (1+kCot)-.44; and a function describing the pairing of tracer when the rate constant for the tracer (k) is distinct from the driver rate constant (kd): (formula: see text). Several components may be used for most of these functional forms. The standard deviations of the individual parameters at the solutions are calculated.     

Reassociation rate limited displacement of DNA strands by branch migration.

Large branched DNA structures are constructed by two-step reassociation of separated complementary strands from restriction fragments of different lengths. The displacement of DNA strands initially annealed to longer complementary DNA sequences, a process mediated by branch migration, is very rapid and has thus far been followed only under conditions which are second order, DNA reassociation rate limiting. The average lifetime of branched DNA leading to displacement of 1.6 Kb strands is estimated to be less than 10 seconds under conditions of DNA reassociation, Tm-25 degrees C. Several DNA-binding drugs, including intercalating dyes, have been tested to determine their influence, if any, on the kinetics of DNA strand displacements by branch migration. Only actinomycin D was found to have significant effect under the conditions we have described. The kinetics of the strand displacement in the presence of low concentrations of actinomycin D remain second order and slower rate of strand displacement must be attributed to decreased rate of reassociation of DNA strands to form the branched intermediates. Consideration is given to the potential manipulation of DNA structures at site-directed branches and the limitations due to rapid strand displacements. The feasibility of constructing sufficiently large branched DNA regions to approach first order, branch migration rate limiting kinetics is also discussed.     

An alternative view of mammalian DNA sequence organization: I. Repetitive sequence interspersion in Syrian hamster DNA: A model system

The biochemical and biophysical techniques originally introduced by Davidson et al. (1973) and Graham et al. (1974) for the determination of the general organization and length of repetitive and non-repetitive sequences in eukaryotic DNA have been extended and modified. Improvements in the experimental methods employed in these pioneering works have led to novel interpretations and conclusions about mammalian DNA sequence organization. In what is commonly referred to as an interspersion experiment, the average spacing of repetitive DNA regions is inferred from the length dependence of hydroxyapatite binding of radio-labeled tracer DNAs reassociated with an excess of short 200 nucleotide repetitive sequence driver DNA. Studies on Syrian hamster DNA, using an improved procedure for conducting interspersion experiments, suggest that either a frequent cluster in the distribution of non-repetitive DNA sequence lengths occurs at 7200 (±2000) nucleotides or that repetitive sequences are randomly spaced on a number average basis. In contrast, measurements obtained using the traditional methods suggest that a frequent cluster in the distribution of non-repetitive DNA sequence lengths occurs at approximately 1000 nucleotides. When reassociations were conducted at elevated temperatures, to allow only well-matched repetitive sequences to hybridize, the amount of DNA operationally observed as “repetitive” was reduced. Interspersion experiments conducted with Syrian hamster DNA at a reassociation temperature of 75 °C yielded data similar to those obtained by Manning et al. (1975) for Drosophila melanogaster DNA reassociated at 60 °C.     

Effective diffusion rate through a polymer network: influence of nonspecific binding and intersegment transfer

The effective diffusion rate of a tracer molecule through a polymer network can be influenced by nonspecific binding. If such binding occurs, the local density fluctuations (segmental diffusion) of the network molecules will contribute to the net displacements of tracer molecules. If the network is strongly interconnected by entanglement or cross-linking, these local motions will only carry the tracer molecules over a small region, and effective transport would require dissociation and reassociation of the tracer molecule to another part of the network. Alternatively, tracer molecules could be transferred directly (intersegment transfer) between different parts of the network whenever they are brought sufficiently close by the density fluctuations. A wormlike-chain model for the segmental diffusion of a polymer is used to describe the network motions and to derive the effective diffusion rate for a tracer molecule as a function of network density and binding constant with or without intersegment transfer contributing. It is found that the density dependence for the effective diffusion of ethidium bromide through dense DNA solutions studied by photobleaching recovery [R. D. Icenogle and E. L. Elson (1983) Biopolymers 22 , 1949–1966] agrees with an intersegment-transfer mechanism limited by the segmental DNA motions. The calculations are also applied to a model for the intracellular diffusion of molecules loosely bound to the cytomatrix. If intersegment transfer dominates it can account for the observed size independence for the intracellular diffusion rates of various injected macromolecules.     

Intrachain reactions of supercoiled DNA simulated by Brownian dynamics

We considered an irreversible biochemical intrachain reaction of supercoiled DNA as a random event that occurs, with certain probability, at the instant of collision between two reactive groups bound to distant DNA sites. Using the Brownian dynamics technique, we modeled this process for a supercoiled DNA molecule of 2.5 kb length in dilute aqueous solution at an NaCl concentration of 0.1 M. We calculated the mean reaction time tau(Sigma) as a function of the intrinsic second-order rate constant k(I), the reaction radius R, and the contour separation S of the reactive groups. At the diffusion-controlled limit (k(I) --> infinity), the kinetics of reaction are determined by the mean time tau(F) of the first collision. The dependence of tau(F) on R is close to inversely proportional, implying that the main contribution to the productive collisions is made by bending of the superhelix axis. At sufficiently small k(I), the mean reaction time can be satisfactory approximated by tau(Sigma) = tau(F)(app) + 1/(k(I)c(L)), where c(L) is the local concentration of one reactive group around the other, and tau is an adjustable parameter, which we called the apparent time of the first collision. The value of tau depends on R very weakly and is approximately equal to the mean time of the first collision caused by mutual reptation of two DNA strands forming the superhelix. The quasi-one-dimensional reptation process provides the majority of productive collisions at small k(I) values.     

DNA sequence organization in the mollusc Aplysia californica.

The sequence organization of the DNA of the mollusc Aplysia californica has been examined by a combination of techniques. Close-spaced interspersion of repetitive and single copy sequences occurs throughout the majority of the genome. Detailed examination of the DNA of this protostome reveals great similarities to the pattern observed in the two deuterostome organisms previously examined in detail in this laboratory, Xenopus laevis and Strongylocentrotus purpuratus. Labeled and unlabeled Aplysia DNA were prepared from developing embryos and sheared to a fragment length of 400 nucleotides. The kinetics of reassociation were studied by means of hydroxyapatite chromatography, single-strand-specific S1 nuclease, and optical methods of assay. Aplysia DNA of this fragment length contains at least five resolvable kinetic fractions. One classification of these fractions, listed with their reassociation rate constants (l M-1 sec-1) is: single copy (0.00057), slow (0.047), fast (2.58), very fast (4000), and foldback (greater than 10(5)). Sequence arrangement was deduced from: the kinetics of reassociation of DNA fragments of length 400 or 2000 nucleotides; the hyperchromicity of reassociated fragments containing duplex regions; the size of duplex regions resistant to S1 nuclease; and the reassociation of labeled fragments of various lengths with short driver fragments. More than 80% of the single copy DNA sequences are interspersed with repetitive sequences. The maximum spacing of the repeats is about 2000 nucleotides, and the average less than 1000. The very fast fraction does not show interspersion with single copy sequences or with other kinetic fractions. The foldback fraction sequences are fairly widely interspersed. The slow fraction sequences are interspersed with the fast fraction, and possibly also with the single copy DNA. The fast fraction is the dominant interspersed repetitive fraction. Its sequences are adjacent to the great majority of the single copy sequences and have an average length of about 300 nucleotides.     

Structural genes adjacent to interspersed repetitive DNA sequences

The observation that repetitive and single copy sequences are interspersed in animal DNAs has suggested that repetitive sequences are adjacent to single copy structural gene sequences. To test this concept, single copy DNA sequences contiguous to interspersed repetitive sequences were prepared from sea urchin DNA by hydroxyapatite fractionation (repeat-contiguous DNA fraction). These single copy sequences included about one third of the total nonrepetitive sequence in the genome as determined by the amounts recovered during the hydroxyapatite fractionation and by reassociation kinetics. ³H-labeled mRNA from sea urchin gastrula was prepared by puromycin release from polysomes and used in DNA-driven hybridization reactions. The kinetics of mRNA hybridization reactions with excess whole DNA were carefully measured, and the rate of hybridization was found to be 3–5 times slower than the corresponding single copy DNA driver reassociation rate. The mRNA hybridized with excess repeat-contiguous DNA with similar kinetics relative to the driver DNA. At completion 80% of that mRNA hybridizable with whole DNA (approximately 65%) had reacted with the repeat-contiguous DNA fraction (50%). This result shows that 80–100% of the mRNA molecules present in sea urchin embryos are transcribed from single copy DNA sequences adjacent to interspersed repetitive sequences in the genome.     

Detection and mapping of homologous, repeated and amplified DNA sequences by DNA renaturation in agarose gels.

A new molecular hybridization approach to the analysis of complex genomes has been developed. Tracer and driver DNAs were digested with the same restriction enzyme(s), and tracer DNA was labeled with 32P using T4 DNA polymerase. Tracer DNA was mixed with an excess amount of driver, and the mixture was electrophoresed in an agarose gel. Following electrophoresis, DNA was alkali-denatured in situ and allowed to reanneal in the gel, so that tracer DNA fragments could hybridize to the driver only when homologous driver DNA sequences were present at the same place in the gel, i.e. within a restriction fragment of the same size. After reannealing, unhybridized single-stranded DNA was digested in situ with S1 nuclease. The hybridized tracer DNA was detected by autoradiography. The general applicability of this technique was demonstrated in the following experiments. The common EcoRI restriction fragments were identified in the genomes of E. coli and four other species of bacteria. Two of these fragments are conserved in all Enterobacteriaceae. In other experiments, repeated EcoRI fragments of eukaryotic DNA were visualized as bands of various intensity after reassociation of a total genomic restriction digest in the gel. The situation of gene amplification was modeled by the addition of varying amounts of lambda phage DNA to eukaryotic DNA prior to restriction enzyme digestion. Restriction fragments of lambda DNA were detectable at a ratio of 15 copies per chicken genome and 30 copies per human genome. This approach was used to detect amplified DNA fragments in methotrexate (MTX)-resistant mouse cells and to identify commonly amplified fragments in two independently derived MTX-resistant lines.     

DNA synthesized in the hepatitis B Dane particle DNA polymerase reaction.

Radioactive DNA was prepared in extensive (4 h) Dane particle DNA polymerase reactions. In different experiments the amount of new DNA, determined by the amount of nucleotide incorporation into an acid-insoluble form, was between 29 and 45% of the total circular DNA isolated from Dane particle preparations after the reaction. DNA reassociation kinetics were used to determine the complexity of the newly synthesized DNA. In different experiments COt1/2 values, corresponding to between 625 and 1,250 nucleotide pairs, were obtained for the radioactive Dane particle DNA. These results suggest that a unique region (or regions), corresponsing to approximately one-fourth to one-half of the circular Dane particle DNA template, was copied one time during the reaction. DNA and RNA extracted from hepatitis B virus-infected liver but not from uninfected liver accelerated the rate of reassociation of radioactive DNA from Dane particles. These Dane particle DNA base sequences were found in alkali-stable, rapidly sedimenting DNA from infected liver as well as in DNA sedimenting at a rate similar to the DNA extracted from Dane particles. These findings are consistent with Dane particle DNA being hepatitis B virus DNA that is integrated into high-molecular-weight cellular DNA and transcribed into RNA in infected liver.     

Capillary electrophoresis as a method to study DNA reassociation

To develop analytical methodology to assess the genetic complexity of a DNA sample, capillary electrophoresis with laser-induced fluorescence detection is used to monitor the annealing process of DNA samples. Coated columns are filled with an entangled polymer solution shown to optimally separate DNA through size-selective capillary electrophoresis. DNA samples are denatured by heating in a boiling water bath for approximately 10 min and then cooled to approximately 25 degrees C below the melting point of the DNA sample to initiate the reassociation process. The DNA is detected by means of the laser-induced fluorescence of intercalated ethidium bromide, which produces a substantially greater signal for double- versus single-stranded DNA. The rate of reassociation is dependent upon the rate at which complimentary strands of DNA encounter each other and the degree of repeating base sequences in the sample (hence, the diversity of the DNA). Experimental parameters also influence the reassociation rate. The effects of salt concentration and incubation temperature are presented. Traditional plots of C(o)t (C(o) = DNA concentration and t = reassociation time) versus % recovery of double-stranded DNA signal are generated for PhiX 174 Hae III digest and 50 bp stepladder DNA, individually and combined, to calculate the reassociation rate constants for these samples. Because reassociation of individual fragments is observed by the CE-LIF method, more information about the samples is available than with less specific and time-consuming traditional methods of investigating DNA reassociation.     

The reassociation curve of human DNA amended

The reassociation kinetics of human DNA was studied, utilizing S1 nuclease digestion in aqueous dioxane and hydroxyapatite chromatography for isolating renatured DNA. The percentage of DNA reassociated at C0t = 10(-3) was 5--7% and that at C0t = 18 000 was about 85%, C0t being the product of the molar concentration of DNA and the reassociation period in s. The shape of the amended reassociation curve was roughly that of a rectangular hyperbola. It showed pronounced differences from the curves obtained by direct hydroxyapatite chromatography of reassociated DNA. The S1 nuclease-dioxane procedure offered two advantages over the conventional method. It was applicable to the study of reassociation with high molecular weight DNA, and the reassociated DNA so obtained was devoid of low-melting strands. The analysis of the new data took into account the possible effects of the diploid condition on the reassociation rate of DNA, the source of the DNA used in this study being placental tissue. The new reassociation profile was compared to ideal second-order reassociation curves calculated for the human genome (2.5 . 10(9) nucleotide pairs), and for a genome twice this size, containing various proportions of single-copy sequences. The results showed that approximately 85--90% of th total DNA may consist of unique sequences. This estimate is considerably higher than those reported previously.     

Endogenous oncornaviral DNA sequences: evidence for two classes of viral DNA sequences in guinea pig cells.

The nature of the endogenous viral DNA sequences in guinea pig cells was studied by hybridization. A segment of the viral RNA (r-VRNA) hybridizing to abundant (or reiterated) DNA sequences (R-VDNA) was isolated by recycling to a Cot of 300. The hybridization of the recycled VRNA, as well as the total VRNA, was followed by determining their kinetics and by Wetmur-Davidson analysis. The kinetics of hybridization of total VRNA were complex, did not follow a second-order kinetics, and revealed two slopes by Wetmur-Davidson analysis. The recycled RNA, on the other hand, had a second-order reaction rate expected of the hybridization between a single species of RNA and DNA sequences and yielded a single straight line in a Wetmur-Davidson plot. The Cot1/2 and slope of the recycled r-VRNA was almost identical to that of the abundant VDNA sequences obtained from the hybridization data of the total VRNA. Guinea pig 28S rRNA with or without recycling was used in monitoring hybridization rate. The kinetics of hybridization of 28S RNA followed a second-order reaction and produced a single straight line by Wetmur-Davidson plot, with a second-order reassociation rate constant of 9.6 x 10(-3) liters/mol-s, a Cot1/2 of 104 mol-s/liter, and reiteration frequency of 146. There was no difference in the kinetics of hybridization of 28S RNA before and after recycling. These experiments showed that guinea pig cells contain two classes of VDNA sequences. (i) R-VDNA sequences with a second-order reassociation rate constant of 8.2 x 10(-4) liters/mol-s, a Cot1/2 of 1,219 mol-s/liter, and a reiteration frequency of 12 represent 37.5% of the viral genome. (ii) Unique VDNA sequences with a second-order reassociation rate constant of 1.2 x 10(-4) liters/mol-s, a Cot1/2 of 7,692 mol-s/liter, and a reiteration frequency of 2 represent 62.5% of the viral genome.     

Single copy DNA and structural gene sequence relationships among four sea urchin species

Measurements of the divergence of single copy DNA sequences among four sea urchin species are presented. At a standard criterion for reassociation (0.12 M phosphate buffer, 60° C, hydroxyapatite binding) we observe the following extents of reaction and reductions in thermal stability for single copy DNA reassociation between Strongylocentrotus purpuratus tracer and heterologous driver DNA: S. dröbachiensis 68% and 2.5°C; S. franciscanus 51% and 3.5° C; Lytechinus pictus 12% and 7.5° C. The implied extents of sequence relatedness are consistent with the phylogenetic relationships of these species. The rate of single copy sequence divergence in the evolutionary lines leading to the Strongylocentrotus species is estimated to be 0.06–0.35% per million years. The rate of divergence of total single copy sequence has been compared to that of structural gene sequences represented in S. purpuratus gastrula polysomal messenger RNA. When closely related species, S. purpuratus and S. franciscanus, are compared, these polysomal sequences are found to diverge at a lower rate than does the total single copy sequence. For two very distantly related species, S. purpuratus and L. pictus, a small fraction of the single copy DNA sequence is probably conserved. These conserved sequences are not enriched in their content of structural gene sequences.Also staff member, Carnegie Institution of Washington, Washington, D.C. 20015     

Single channel gating events in tracer flux experiments I. Theory

Tracer ion flux measurements are a commonly used method for studying ion transport through membranes of cellular systems, where the rate of ion flow is determined by gating processes which control the opening and closing of transmembrane channels. Due to recent advances in the theoretical analysis of tracer flux from or into closed membrane structures (CMS), the mechanism of gating reactions can, in principle, be derived from flux data. A physically well founded analysis is presented for the dependence of the total tracer ion content of a collection of CMS on the gating processes. For functionally uncoupled gating units a mean single channel flux contribution [equation, see text] can be defined, where k is the intrinsic single channel flux coefficient, t the time over which flux is measured, and p(tau,t) is the probability that a given channel was open for a total period tau during t. This quantity reflects the mean time course of the tracer content due to flux through a single channel. Expressions for are derived that explicitly take into account a distribution in the lifetime of open channels. On the basis of the results, kinetic and thermodynamic parameters of multiphasic gating reactions can be determined from the time course of the overall tracer content in a colleciion of CMS.     

Cyanide binding to cytochrome c peroxidase (H52L)

Cyanide binding to a cytochrome c peroxidase (CcP) variant in which the distal histidine has been replaced by a leucine residue, CcP(H52L), has been investigated as a function of pH using spectroscopic, equilibrium, and kinetic methods. Between pH 4 and 8, the apparent equilibrium dissociation constant for the CcP(H52L)/cyanide complex varies by a factor of 60, from 135 microM at pH 4.7 to 2.2 microM at pH 8.0. The binding kinetics are biphasic, involving bimolecular association of the two reactants, followed by an isomerization of the enzyme/cyanide complex. The association rate constant could be determined up to pH 8.9 using pH-jump techniques. The association rate constant increases by almost 4 orders of magnitude over the pH range investigated, from 1.8 x 10(2) M(-1) s(-1) at pH 4 to 9.2 x 10(5) M(-1) s(-1) at pH 8.6. In contrast to wild-type CcP, where the binding of HCN is the dominant binding pathway, CcP(H52L) preferentially binds the cyanide anion. Above pH 8, cyanide binding to CcP(H52L) is faster than cyanide binding to wild-type CcP. Cyanide dissociates 4 times slower from the mutant protein although the pH dependence of the dissociation rate constant is essentially identical for CcP(H52L) and CcP. Isomerization of the CcP(H52L)/cyanide complex is observed between pH 4 and 8 and stabilizes the complex. The isomerization rate constant has a similar magnitude and pH dependence as the cyanide dissociation rate constant, and the two reactions are coupled at low cyanide concentrations. This isomerization has no counterpart in the wild-type CcP/cyanide complex.     

Factors affecting the kinetics of DNA reassociation in phenol–water emulsion at high DNA concentrations

DNA reassociation kinetics using the phenol emulsion reassociation technique (PERT) [Kohne, D. E., Levison, S. A. & Byers, M. J. (1977) Biochemistry 16 , 5329–5341] has been investigated at high DNA concentrations using an endonuclease S1 assay of reaction progress. Apparent second-order rate constants fall on two intersecting straight lines when presented as a function of DNA concentrations on a log–log plot. In the low DNA concentration range, the rate constants drop about 10-fold when concentration increases 1000-fold. In the high DNA concentration range, the rate constants drop more than 10-fold when concentration increases 10-fold. The slopes of these lines are the same in different solvents and at different temperatures. The intersection between the lines occurs when the available catalytic surface is saturated. At high DNA concentrations, high-complexity heterologous denatured DNA apparently competes 2–4 times better for the surface than homologous DNA because it does not participate in a reassociation reaction. Native and partially native DNA molecules cannot compete with single-stranded DNA for a saturated surface. At high DNA concentrations, reactions using PERT become dependent on the single-strand DNA length. Increasing length lowers reassociation rates.     

Single copy DNA homology in sea stars

Summary The sequence homology in the single copy DNA of sea stars has been measured. Labeled single copy DNA fromPisaster ochraceus was reannealed with excess genomic DNA fromP. brevispinus, Evasterias troschelii, Pycnopodia helianthoides, Solaster stimpsoni, andDermasterias imbricata. Reassociation reactions were performed under two criteria of salt and temperature. The extent of reassociation and thermal denaturation characteristics of hybrid single copy DNA molecules follow classical taxonomic lines.P. brevispinus DNA contains essentially all of the sequences present inP. ochraceus single copy tracer whileEvasterias andPycnopodia DNAs contain 52% and 46% of such sequences respectively. Reciprocal reassociation reactions with labeledEvasterias single copy DNA confirm the amount and fidelity of the sequence homology. There is a small definite reaction of uncertain homology betweenP. ochraceus single copy DNA andSolaster orDermasterias DNA. SimilarlySolaster DNA contains sequences homologous to approximately 18% ofDermasterias unique DNA. The thermal denaturation temperatures of heteroduplexes indicate that the generaPisaster andEvasterias diverged shortly after the divergence of the subfamilies Pycnopodiinae and Asteriinae. The twoPisaster species diverged more recently, probably in the most recent quarter of the interval since the separation of the generaPisaster andEvasterias.     

Use of DNA reassociation in bacterial classification

The reassociation properties of DNA provide invaluable taxonomic tools. Different methods may give different reassociation values. However, the thermal stability of reassociated DNA strands (a measurement that seems independent of method) is useful in delineating genomic species. Although many phenotypically defined species have been confirmed by DNA reassociation, some medically important genomic species previously had been split into several nomenspecies on the basis of a few characteristics whereas some environmental genomic species had been lumped into unidentifiable aggregates. It might take some time before the nomenclature can be adapted to new taxonomic findings.     

On true and apparent Michaelis constants in enzymology. III. Is it linear dependence between apparent michaelis constant and limiting rate and is it possible to determine the substrate constant value using this dependence?

The Slater-Bonner method which is used for graphic determination of substrate constant (Ks) by linear dependence of apparent Michaelis constant (Km(app)) on the limiting rate (V(app)) of enzyme-catalysed reactions with activator participation has been critically analysed. It has been shown that although it is possible to record the mechanisms of such reactions as a scheme similar to Michaelis-Menten model which allow to find correlation Km(app) and V(app) as equation Km(app) = Ks + V(app)/k1[E]0 ([E]0 is a total enzyme concentration, k1 is a rate constant of enzyme-substrate complex formation from free enzyme and substrate) in order to calculate Ks and individual rate constants (k1, k(-1)), but this approach for investigation of all reactions with activator participation ought not to be used. The above equation is not obeyed in general, it may be true for some mechanisms only or under certain ratios of kinetic parameters of enzyme-catalysed reactions.