Can We Model DNA at the Mesoscale?

Modelling DNA is useful for understanding its properties better but it is also challenging because many of these properties involve hundreds of base pairs or more, or time scales which are much longer than the time scales accessible to molecular dynamics. It is therefore necessary to develop models at a mesoscale, which include enough details to describe the properties of interest, for instance the biological sequence, while staying sufficiently simple and realistic. We discuss here two examples: a dynamical model to study the mechanical denaturation of DNA, which probes the sequence on various scales, and a model for the self assembly of DNA which describes the formation of hairpins and allows us to study its kinetics.     

The Renaturation of Denatured DNA

The kinetics of renaturation of heat-denatured DNA from E. coli and pneumococcus have been examined by ultraviolet absorption measurements. The molecularity of the reaction was assessed by three independent treatments of the data, and all lead to the conclusion that renaturation is essentially first order at 60°; at 70° and 80° there is an increasing second order component, resulting in simultaneous unimolecular and bimolecular kinetics. The unimolecular kinetics rule out reaction between two, kinetically separate strands, indicating rather the zippering-up of a single, denatured entity. The bimolecular kinetics can be attributed to the complexing of two such entities; thus, the genetic or density-labeled complexes that have been observed by other investigators can be accounted for without invoking strand separation. Since renaturation at best is never complete, the free ends of two renatured molecules permit sufficient bimolecular reaction to produce density hybrids. The observed kinetics can be accounted for if the hydrogen bonds of DNA are broken during heat denaturation but the strands do not separate. Light scattering supports this by showing that the molecular weight is unchanged by denaturation. Since there is no existing evidence that is inconsistent with this hypothesis, it is reasonable to conclude that heat denaturation does not completely separate the entangled strands of the DNA molecule.     

Renaturation and Hybridization Studies of Mitochondrial DNA

The products of the renaturation reaction of mitochondrial DNA from oocytes of Xenopus laevis have been studied by electron microscopy and CsCl equilibrium density gradient centrifugation. The reaction leads to the formation of intermediates containing single-stranded and double-stranded regions. Further reactions of these intermediates result in large complexes of interlinking double-stranded filaments. The formation of circular molecules of the same length as native circles of mitochondrial DNA was also observed. The formation of common high molecular weight complexes during joint reannealing of two DNA's with complementary sequences was used as a method to detect sequence homology in different DNA samples. Although this method does not produce quantitative data it offers several advantages in the present study. No homologies could be detected between the nuclear DNA and the mitochondrial DNA of X. laevis or of Rana pipiens. In interspecies comparisons homologies were found between the nuclear DNA's of X. laevis and the mouse and between the mitochondrial DNA's of X. laevis and the chick, but none between the mitochondrial DNA's of X. laevis and yeast. These results are interpreted as indicating the continuity of mitochondrial DNA during evolution.     

Renaturation of denatured DNA in NaI gradients

We show that denatured DNA from Tetrahymena mitochondria or phage T₇, partially renatures during centrifugation in NaI equilibrium density gradients. This makes these gradients unsuitable for the analysis of single-stranded complementary nucleic acids, especially if their complexity and mole percent G+C are low.     

Renaturation of denatured, covalently closed circular DNA

The rate of renaturation of denatured, covalently closed, circular DNA (form Id DNA) of the phi X174 replicative form has been investigated as a function of pH, temperature, and ionic strength. The rate at a constant temperature is a sharply peaked function of pH in the range of pH 9 to 12. The position on the pH scale of the maximum rate decreases as the temperature is increased and as the ionic strength is increased. The kinetic course of renaturation is pseudo-first order: it is independent of DNA concentration, but falls off in rate from a first order relationship as the reaction proceeds. The rate of renaturation depends critically on the temperature at which the denaturation is carried out. Form Id, prepared at an alkaline pH at 0 degrees C, renatures from 5 to more than 100 times more rapidly than that similarly prepared at 50 degrees C. Both the heterogeneity in rate and the effect of the temperature of denaturation depend, in part, on the degree of supercoiling of the form I DNA from which the form Id is prepared. However, it is concluded that a much larger contribution to both arises from a configurational heterogeneity introduced in the denaturation reaction. The renaturation rate was determined by neutralization of the alkaline reaction and analytical ultracentrifugal analysis of the amounts of forms I and Id. The nature of the proximate renatured species at the temperature and alkaline pH of renaturation was investigated by spectrophotometric titration and analytical ultracentrifugation. It is concluded that the proximate species are the same as the intermediate species defined by an alkaline sedimentation titration of the kind first done by Vinograd et al. ((1965) Proc. Natl. Acad. Sci. U. S. A. 53, 1104-1111). Observations are included on the buoyant density of form Id and on depurination of DNA at alkaline pH values and high temperatures.     

Renaturation of DNA in the presence of ethidium bromide

The rate of renaturation of T2 DNA has been studied as a fuction of ethidium bound per nucleotide of denatured DNA. The Binding constants and number of binding sites for ethidium have been determined by spectral titration for denatured DNA at 55, 65, and 75°C and for native DNA at 65°C in 0.4M Na⁺. The rate of renaturation of T2 DNA was found to be independentof ethidium binding up to 0.03 moles per mole of nucleotide. Above 0.03 moles, the rate drops off precipitously approaching zero at 0.08 and 0.06 moles bound ethidium per nucleotide at 65°C respectively. A study was also made of the use of bound ethidium fluorescence as a probe for monitoring DNA renaturation reactions.     

Renaturation of DNA: a novel reaction of histones.

Histones isolated from several sources, either singly or in combination promote the renaturation of complementary single strands of DNA, as measured by the acquisition of resistance to S1 nuclease. The reaction is rapid (T1/2 less than 1 min), and is stoichiometric rather than catalytic. Renaturation is stimulated by Mg2+, Mn2+, and Ca2+, but is strongly inhibited by Zn2+. Crude extracts of early embryos of Drosophila melanogaster possess renaturation activity which is protease sensitive, heat-stable, and acid-soluble, suggesting that most or all of it can be attributed to histones. This observation thus provides a functional assay for histones that should prove useful in studies of chromatin and histone-DNA interactions, as well as for the identification and isolation of histones and histone-like proteins in crude extracts.     

Renaturation of copper solutions of DNA. I. Phenomenological analysis

A study of the kinetics of renaturation of cupric DNA solutions has been carried out by two physical properties methods. The use of a purely phenomenological analysis leads nevertheless to interesting conclusions concerning the transformation mechanism. We have found that: in the presence of Cu⁺⁺ ions, different. DNA samples exhibit an equivalent kinetic behavior; the system can be decomposed into two parts: DNA and copper ions, and the rate of formation of DNA should be faster than that of copper ions; the mechanism of transformation may be bimolecular, but further investigation is necessary to confirm this.     

DNA Motion Capture Reveals the Mechanical Properties of DNA at the Mesoscale

Single-molecule studies probing the end-to-end extension of long DNAs have established that the mechanical properties of DNA are well described by a wormlike chain force law, a polymer model where persistence length is the only adjustable parameter. We present a DNA motion-capture technique in which DNA molecules are labeled with fluorescent quantum dots at specific sites along the DNA contour and their positions are imaged. Tracking these positions in time allows us to characterize how segments within a long DNA are extended by flow and how fluctuations within the molecule are correlated. Utilizing a linear response theory of small fluctuations, we extract elastic forces for the different, ∼2-μm-long segments along the DNA backbone. We find that the average force-extension behavior of the segments can be well described by a wormlike chain force law with an anomalously small persistence length.     

Renaturation kinetics and thermal stability of DNA in aqueous solutions of formamide and urea.

This paper reports the results of a systematic study of the effects of formamide and urea on the thermal stability and renaturation kinetics of DNA. Increasing concentrations of urea in the range 0 to 8 molar lower the Tm by 2.25 degrees C per molar, and decreases the renaturation rate by approximately 8 percent per molar. Increasing concentrations of formamide in the range from 0 to 50 percent lowers the Tm by 0.60 degrees C per percent formamide for sodium chloride concentrations ranging from 0.035M to 0.88M. At higher salt concentrations the dependence of Tm on percent formamide was found to be slightly greater. Increasing formamide concentration decreases the renaturation rate linearly by 1.1% per percent formamide such that the optimal rate in 50% formamide is 0.45 the optimal rate in an identical solution with no formamide. The effects of urea and formamide on the renaturation rates of DNA are explained by consideration of the viscosities of the solutions at the renaturation temperatures.     

蛋白质复性研究进展

许多蛋白在大肠杆菌中高效表达时,其产物常以无活性的包含体形式存在,包含体蛋白的复性往往是制备这些蛋白的关键步骤之一,蛋白复性包括肽链折叠和分子内二硫键的氧化这两个互相影响的过程,本文综述了蛋白折叠过程的研究进展,及促进蛋白折叠和二硫键氧化的方法。     

根霉葡萄糖淀粉酶的复性复活动力学研究

本文利用荧光、紫外差光谱研究了根霉葡萄糖淀粉酶在盐酸胍变性后的复性、复活动力学。结果表明,该酶在小于4mol/L盐酸胍中变性是可逆的,其复性过程遵循一级反应方程。酶复活过程是由两个一级反应组成的复合反应,构象变化速度与复活过程中较快的反应速度相差无几,这可能是在Trp及Tyr微区的构象变化基本完成之后,酶活力恢复还没有完成造成的。     

Mesoscale DNA feature in antibody-coding sequence facilitates somatic hypermutation

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重组蛋白瑞替普酶的分子生物学及复性研究

重组蛋白瑞替普酶是重组人组织纤溶酶原激活剂(tPA)的缺失变异体(reteplase),为第三代治疗血栓性疾病的溶栓药物,具有半衰期长、出血副作用小的特点,是有前途的新型溶栓药物。在研究开发和产业化过程中的难点是含有9对二硫键,难以提高复性率,综述了瑞替普酶的分子生物学及变性和复性研究进展。