Macromolecular Design,Nucleic Acid Junctions,and Crystal Formation

Abstract

The simplest form of macromolecular design involves the ligation of nucleic acids. Recent results on the concatenation of nucleic acid junctions show that these molecules can act as fairly rigid macromolecular valence clusters on the nanometer scale. These clusters can be joined to form closed stick figures in which each edge is double helical DNA or RNA and each vertex is a nucleic acid junction. The geometrical criteria for forming discrete-closed and periodic structures from these components are established. The helicity of each edge limits the possible structures that can be formed.

The formation of a periodic array from nucleic acid junction building blocks is compared with the crystallization of molecular systems. This comparison leads to a new interpretation of the nature of order in the solid state for molecular crystals. The suggestion is made that the structure of a solid molecular system described by the fewest unique orthogonal (Fourier) components is the one which will be entropically favored, since it contains the least information. This is the crystalline state, with a small number of molecules per asymmetric unit. The free energy from the proposed entropie driving force responsible for this behavior is available, in principle, to correct small deviations from ideality in forming covalent crystals from nucleic acid junction components, as well as in non-bonded molecular systems. Nucleic acid junction periodic arrays provide an appropriate vehicle with which to test this interpretation.     

Nucleic acid junctions and lattices

It is possible to generate sequences of oligomeric nucleic acids which will preferentially associate to form migrationally immobile junctions, rather than linear duplexes, as they usually do. These structures are predicated on the maximization of Watson-Crick base pairing and the lack of sequence symmetry customarily found in their analogs in living systems. Criteria are presented which oligonucleotide sequences must fulfill in order to yield these junction structures. The generable junctions are nexi, from which 3 to 8 double helices may emanate. Each junction may be treated as a macromolecular “valence cluster”, and the individual clusters may be linked together directly, or with pieces of linear DNA interspersed between them. This covalent linkage can be done with enormous specificity, using the sticky-ended ligation techniques currently employed in genetic engineering studies. It appears to be possible to generate covalently joined three-dimensional networks of nucleic acids which are periodic in connectivity and perhaps in space.     

Matthews coefficient probabilities: Improved estimates for unit cell contents of proteins,DNA, and protein-nucleic acid complex crystals

Estimating the number of molecules in the crystallographic asymmetric unit is one of the first steps in a macromolecular structure determination. Based on a survey of 15641 crystallographic Protein Data Bank (PDB) entries the distribution of V(M), the crystal volume per unit of protein molecular weight, known as Matthews coefficient, has been reanalyzed. The range of values and frequencies has changed in the 30 years since Matthews first analysis of protein crystal solvent content. In the statistical analysis, complexes of proteins and nucleic acids have been treated as a separate group. In addition, the V(M) distribution for nucleic acid crystals has been examined for the first time. Observing that resolution is a significant discriminator of V(M), an improved estimator for the probabilities of the number of molecules in the crystallographic asymmetric unit has been implemented, using resolution as additional information.     

X-ray solution scattering (SAXS) combined with crystallography and computation: defining accurate macromolecular structures, conformations and assemblies in solution

Crystallography supplies unparalleled detail on structural information critical for mechanistic analyses; however, it is restricted to describing low energy conformations of macromolecules within crystal lattices. Small angle X-ray scattering (SAXS) offers complementary information about macromolecular folding, unfolding, aggregation, extended conformations, flexibly linked domains, shape, conformation, and assembly state in solution, albeit at the lower resolution range of about 50 A to 10 A resolution, but without the size limitations inherent in NMR and electron microscopy studies. Together these techniques can allow multi-scale modeling to create complete and accurate images of macromolecules for modeling allosteric mechanisms, supramolecular complexes, and dynamic molecular machines acting in diverse processes ranging from eukaryotic DNA replication, recombination and repair to microbial membrane secretion and assembly systems. This review addresses both theoretical and practical concepts, concerns and considerations for using these techniques in conjunction with computational methods to productively combine solution scattering data with high-resolution structures. Detailed aspects of SAXS experimental results are considered with a focus on data interpretation tools suitable to model protein and nucleic acid macromolecular structures, including membrane protein, RNA, DNA, and protein-nucleic acid complexes. The methods discussed provide the basis to examine molecular interactions in solution and to study macromolecular flexibility and conformational changes that have become increasingly relevant for accurate understanding, simulation, and prediction of mechanisms in structural cell biology and nanotechnology.     

TROSY and CRINEPT: NMR with large molecular and supramolecular structures in solution

TROSY and CRINEPT are new techniques for solution NMR studies of molecular and supramolecular structures. They allow the collection of high-resolution spectra of structures with molecular weights >100 kDa, significantly extending the range of macromolecular systems that can be studied by NMR in solution. TROSY has already been used to map protein-protein interfaces, to conduct structural studies on membrane proteins and to study nucleic acid conformations in multimolecular assemblies. These techniques will help us to investigate the conformational states of individual macromolecular components and will support de novo protein structure determination in large supramolecular structures.     

Mixed monolayers of amphiphile-modified nucleic bases and diynoic acids. I. Phase states at air-water interface and in Langmuir-Blodgett films

Monolayers of amphiphile-modified nucleic bases with diynoic acid were obtained and characterized. The synthesized nucleic bases contained in the monolayer complementarily bind the nucleotide molecules contained in the aqueous subphase, and the structure of the resulting monolayers can be fixed by the photopolymerization of diynoic acid. The resulting monolayer exemplifies a novel type of model systems for investigating molecular recognition at the surface of biological membranes. Procedures for the transfer of the monolayers onto solid substrates and photopolymerization of the diynoic acid in mixtures with the derivatives of nucleic bases were developed. The films obtained were structurally characterized using atomic force microscopy. Compression isotherms of the mixed monolayers as well as individual components of monolayers at the air-water interface allowed one to determine the concentration range at which the diynoic acid form true mixtures or domain structures with the derivatives of nucleic base. A study of the films transferred to the solid substrate by atomic force microscopy indicated that this concentration dependence of miscibility behavior was conserved in the transferred films.     

Modeling nucleic acids

Nucleic acids are an important class of biological macromolecules that carry out a variety of cellular roles. For many functions, naturally occurring DNA and RNA molecules need to fold into precise three-dimensional structures. Due to their self-assembling characteristics, nucleic acids have also been widely studied in the field of nanotechnology, and a diverse range of intricate three-dimensional nanostructures have been designed and synthesized. Different physical terms such as base-pairing and stacking interactions, tertiary contacts, electrostatic interactions and entropy all affect nucleic acid folding and structure. Here we review general computational approaches developed to model nucleic acid systems. We focus on four key areas of nucleic acid modeling: molecular representation, potential energy function, degrees of freedom and sampling algorithm. Appropriate choices in each of these key areas in nucleic acid modeling can effectively combine to aid interpretation of experimental data and facilitate prediction of nucleic acid structure.     

Thermodynamics of oligonucleotide triple helices

Understanding of the cellular role of nucleic acid triple helices and utilization of triple helix forming oligonucleotides in biotechnology, diagnostics, and therapeutics depend on development of an understanding of triple helix formation as a function of the nucleic acid components and solution conditions. This article reviews developments in nucleic acid triple helix thermodynamics with emphasis on the thermal and thermodynamic stability and their dependence on solution conditions. Special emphasis is placed on the construction and interpretation of state diagrams as a means of characterizing the complex behavior of triple helix forming oligonucleotides. Recent developments, which strive to overcome some of the limitations imposed by the natural nucleotide bases and sugar-phosphate backbone, are reviewed from a thermodynamic perspective. © 1998 John Wiley & Sons, Inc. Biopoly 44: 241–256, 1997     

Structures of virus and virus-like particles

Virus structures continue to be the basis for mechanistic virology and serve as a paradigm for solutions to problems concerning macromolecular assembly and function in general. The use of X-ray crystallography, electron cryomicroscopy and computational and biochemical methods has provided not only details of the structural folds of individual viral components, but also insights into the structural basis of assembly, nucleic acid packaging, particle dynamics and interactions with cellular molecules.     

Nucleic Acid Conformation: Crystal Structure of a Naturally Occurring Dinucleoside Phosphate (UpA)

THEORIES of the molecular structure of nucleic acids have so far been based on evidence from the crystal structures of monomeric units such as nucleosides and mononucleotides, the interpretation of diffraction patterns of oriented nucleic acid fibres and molecular model building^1–6. Such approaches can help to suggest structures of periodic molecules such as helices, but they are insufficient for predicting and understanding nonrepetitive structures such as the loops in transfer RNA (tRNA), presumably associated with many of the functions of tRNA. To understand the geometry of nucleic acids and possible constraints on their conformation, it is therefore essential to know the detailed conformation of the sugar residues and the conformational relationship between the sugar residue, the base and the phosphate group^7–9. The simplest molecule which contains this information is a 3´5´-dinucleoside phosphate. We now report the structure of uridine-3´,5´-adenosine phosphate (UpA). This is the first naturally occurring dinucleoside phosphate whose crystal structure has been determined by X-ray diffraction. The only other dinucleoside phosphate with known crystal structure is adenosine-2´,5´-uridine phosphate¹⁰, but it does not have the naturally occurring 3´5´ sugar phosphate linkage.     

Energetics of the lattice: Packing elements in crystals of four-stranded intercalated cytosine-rich DNA molecules

Condensation of single molecules from solution into crystals represents a transition between distinct energetic states. In solution, the atomic interactions within the molecule dominate. In the crystalline state, however, a set of additional interactions are formed between molecules in close contact in the lattice—these are the packing interactions. The crystal structures of d(CCCT), d(TAACCC), d(CCCAAT), and d(AACCCC) have in common a four-stranded intercalated cytosine segment, built by stacked layers of cytosine · cytosine⁺ (C · C⁺) base pairs coming from two parallel duplexes that intercalate into each other with opposite polarity. The intercalated cytosine segments in these structures are similar in their geometry, even though the sequences crystallized in different space groups. In the crystals, adenine and thymine residues of the sequences are used to build the three-dimensional crystal lattice by elaborately interacting with symmetry-related molecules. The packing elements observed provide novel insight about the copious ways in which nucleic acid molecules can interact with each other—for example, when folded in more complicated higher order structures, such as mRNA and chromatin. © 1998 John Wiley & Sons, Inc. Biopoly 44: 257–267, 1997     

A method for differentiating proteins from nucleic acids in intermediate-resolution density maps: cryo-electron microscopy defines the quaternary structure of the Escherichia coli 70S ribosome

BACKGROUND: This study addresses the general problem of dividing a density map of a nucleic-acid-protein complex obtained by cryo-electron microscopy (cryo-EM) or X-ray crystallography into its two components. When the resolution of the density map approaches approximately 3 A it is generally possible to interpret its shape (i. e., the envelope obtained for a standard choice of threshold) in terms of molecular structure, and assign protein and nucleic acid elements on the basis of their known sequences. The interpretation of low-resolution maps in terms of proteins and nucleic acid elements of known structure is of increasing importance in the study of large macromolecular complexes, but such analyses are difficult. RESULTS: Here we show that it is possible to separate proteins from nucleic acids in a cryo-EM density map, even at 11.5 A resolution. This is achieved by analysing the (continuous-valued) densities using the difference in scattering density between protein and nucleic acids, the contiguity constraints that the image of any nucleic acid molecule must obey, and the knowledge of the molecular volumes of all proteins. CONCLUSIONS: The new method, when applied to an 11.5 A cryo-EM map of the Escherichia coli 70S ribosome, reproduces boundary assignments between rRNA and proteins made from higher-resolution X-ray maps of the ribosomal subunits with a high degree of accuracy. Plausible predictions for the positions of as yet unassigned proteins and RNA components are also possible. One of the conclusions derived from this separation is that 23S rRNA is solely responsible for the catalysis of peptide bond formation. Application of the separation method to any nucleoprotein complex appears feasible.     

Design of immobile nucleic acid junctions

Nucleic acids that interact to generate structures in which three or more double helices emanate from a single point are said to form a junction. Such structures arise naturally as intermediates in DNA replication and recombination. It has been proposed that stable junctions can be created by synthesizing sets of oligonucleotides of defined sequence that can associate by maximizing Watson-Crick complementarity (Seeman N. C., 1981, Biomolecular Stereodynamics. Adenine Press, New York. 1: 269-278; Seeman, N. C., 1982, J. Theor. Biol. 99:237-247.) To make it possible to design molecules that will form junctions of specific architecture, we present here an efficient algorithm for generating nucleic acid sequences that optimize two fundamental properties: fidelity and stability. Fidelity refers to the relative probability of forming the junction complex relative to all alternative paired structures. Calculations are described that permit approximate prediction of the melting curves for junction complexes.     

Probing structure and function with alternative nucleic acids bearing 2',5'-linked, zwitterionic, and isocytosine-isoguanine components

The incorporation of alternative functional components into nucleic acids can provide insight into what molecular features are necessary for an informational macromolecule to be successful. It can also provide a means to improve particular physical characteristics of nucleic acids for diagnostic and therapeutic purposes, or probe mechanisms. By testing the fitness of nucleic acid-like molecules derived by structural permutations of RNA, it may also prove possible to trace a path from simple prebiotic precursors to biotic molecules. This article describes the applications of 2',5'-phosphodiester linked, zwitterionic, and base-permuted nucleic acid derivatives.     

High-resolution electron cryomicroscopy of macromolecular assemblies

Electron cryomicroscopy is a high-resolution imaging technique that is particularly appropriate for the structural determination of large macromolecular assemblies, which are difficult to study by X-ray crystallography or NMR spectroscopy. For some biological molecules that form two-dimensional crystals, the application of electron cryomicroscopy and image reconstruction can help elucidate structures at atomic resolution. In instances where crystals cannot be formed, atomic-resolution information can be obtained by combining high-resolution structures of individual components determined by X-ray crystallography or NMR with image-derived reconstructions at moderate resolution. This can provide unique and crucial information on the mechanisms of these complexes. Finally, image reconstructions can be used to augment X-ray studies by providing initial models that facilitate phasing of crystals of large macromolecular machines such as ribosomes and viruses.     

Macromolecular organization of chicken type X collagen in vitro

The macromolecular structure of type X collagen in the matrices of primary cultures of chick hypertrophic chondrocytes was initially investigated using immunoelectron microscopy. Type X collagen was observed to assemble into a matlike structure with-in the matrix elaborated by hypertrophic chondrocytes. The process of self assembly was investigated at the molecular level using purified chick type X collagen and rotary-shadowing EM. It was shown that under neutral conditions at 34 degrees C, individual type X collagen molecules associate rapidly into multimeric clusters via their carboxy-terminal globular domains forming structures with a central nodule of carboxy-terminal domains and the triple helices radiating outwards. Prolonged incubation resulted in the formation of a regular hexagonal lattice by lateral association of the juxtaposed triple-helical domains from adjacent multimeric clusters. This extended lattice may play an important role in modifying the cartilage matrix for subsequent events occurring in endochondral bone formation.     

Nucleoprotein complexes of yeast and their biological effect on T-lymphocytes

Complexes of nucleic acids and acid nuclear proteins that are active toward human T-lymphocytes were isolated from cells of bakers' yeast Saccharomyces cerevisiae. The conditions of isolation of nucleoprotein complexes by acid extraction followed by microfiltration for concentration of macromolecular components were optimized. Gel filtration and electrophoresis were used to study the composition and molecular weights of components of the preparations obtained. It was shown that nucleoprotein complex had a molecular weight of 1430 kDa. However, only one zone was determined by electrophoresis of the protein component with a molecular weight of 30 kDa.     

Nucleoprotein Complexes of Yeast and Their Biological Effect on T-Lymphocytes

Complexes of nucleic acids and acid nuclear proteins that are active toward human T-lymphocytes were isolated from cells of baker's yeastSaccharomyces cerevisiae. The conditions of isolation of nucleoprotein complexes by acid extraction followed by microfiltration for concentration of macromolecular components were optimized. Gel filtration and electrophoresis were used to study the composition and molecular weights of components of the preparations obtained. It was shown that the nucleoprotein complex had a molecular weight of 1430 kDa. However, only one zone was determined by electrophoresis of the protein component with a molecular weight of 30 kDa.