Metal chelates anchored to poly-L-peptides and linear D,L-α-peptides with promising nanotechnological applications.

Regular configurationally alternating amino acid sequences generate cyclic and linear helical peptides with a local ß-conformation able to self-assemble in nanowires and nanoscaffolds directed and stabilized by hydrogen bonds. The possibility of modulating the chemical profile of the various amino acid residues containing reactive side chains means that peptides could be flexible templates for creating various building blocks. A method for the design of molecules with potential spintronic properties is described. Peptides containing lysine residues, the side chains of which are bridged through the formation of metal chelates via Schiff bases, could provide stable molecular channels. When metal chelates with high electron spin states are used, their coupling could generate materials that are interesting due to their magnetic properties as well as for the patterning of nanometric lattices driven by their orientation under a magnetic field. With this aim, three alternating D- and L-lysine-containing octapeptides are synthesized and the formation of their bis(pyridoxalaldimine) copper(II) chelate derivatives is shown by absorption and circular dichroism spectroscopies.

Discrete Haar transform and protein structure.

The discrete Haar transform of the sequence of the backbone dihedral angles (phi and psi) was performed over a set of X-ray protein structures of high resolution from the Brookhaven Protein Data Bank. Afterwards, the new dihedral angles were calculated by the inverse transform, using a growing number of Haar functions, from the lower to the higher degree. New structures were obtained using these dihedral angles, with standard values for bond lengths and angles, and with omega = 0 degree. The reconstructed structures were compared with the experimental ones, and analyzed by visual inspection and statistical analysis. When half of the Haar coefficients were used, all the reconstructed structures were not yet collapsed to a tertiary folding, but they showed yet realized most of the secondary motifs. These results indicate a substantial separation of structural information in the space of Haar transform, with the secondary structural information mainly present in the Haar coefficients of lower degrees, and the tertiary one present in the higher degree coefficients. Because of this separation, the representation of the folded structures in the space of Haar transform seems a promising candidate to encompass the problem of premature convergence in genetic algorithms.

A graph-topological approach to recognition of pattern and similarity in RNA secondary structures.

Secondary and tertiary RNA structures play an important role in many biological processes. Therefore the necessity arises to find similar higher-order structures for different but functionally homologous RNA sequences. We propose here a graph-topological approach to the problem, which shows two main features: simplified graph representation which allows the recognition of similarity of RNA secondary structures with the same branching look despite minor differences. This allows comparison among foldings from different sequences, and "pruning" of the secondary structures not shared by all the sequences since the early stages of the search. (b) The graph representation is encoded by the Randic topological index, and the search for the folding similarity is reduced to checking the identity of single numbers. These characteristics make this approach significantly different, less depending on empirical criteria, and less computationally heavy then previous methods, where the folding consensus has been measured by an alignment procedure or correlation of strings representing the secondary structures. Some U2 snRNA and viroid sequences are studied by this approach, which is imbedded in our previous search method based on genetic algorithms.

A genetic algorithm to search for optimal and suboptimal RNA secondary structures.

Genetic algorithms are a search method used in solving problems by selection, recombination and mutation of tentative solutions, until the better ones are achieved. They are very efficient when the 'building block' hypothesis is effective for the solutions, which means that a better solution can be obtained by assembling short 'motifs' or 'schemata' that can be retrieved in some other worse solutions. The additive nature of the secondary structure free energy rules suggests the validity of this hypothesis, and therefore the likely power of a genetic algorithm approach to search for RNA secondary structures. We describe in detail an original genetic algorithm specific for this problem. The sharing function used to obtain differentiated solutions is also described. It results in a greater effectiveness of the algorithm in retrieving a large number of suboptimal RNA foldings besides the optimal one. RNA sequences of different length are used to test the method. The PSTV viroid sequence has been studied.

Recognition of the folding consensus in RNA secondary structures by the topological-filtering method.

Functionally homologous RNA sequences can substantially diverge in their primary sequences but it can be reasonably assumed that they are related in their higher-degree structures. The problem to find such structures and simultaneously satisfy as far as possible the free-energy-minimization criterion, is considered here in two aspects. Firstly a quantitative measure of the folding consensus among secondary structures is defined, translating each structure into a linear representation and using the correlation theorem to compare them. Secondly an algorithm for the parallel search for secondary structures according to the free-energy-minimization criterion, but with a filtering action on the basis of the folding consensus measure is presented. The method is tested on groups of RNA sequences different in origin and in functions, for which proposals of homologous secondary structures based on experimental data exist. A comparison of the results with a blank consisting of a search on the basis of the free energy minimization alone is always performed. In these tests the method shows its ability in obtaining, from different sequences, secondary structures characterized by a high-folding consensus measure also when lower free energy but not homologous structures are possible. Two applications are also shown. The first demonstrates the transfer of experimental data available for one sequence, to a functionally related and therefore homologous one. The second application is the possibility of using a topological probe in the search for precise structural motifs.

Three-dimensional folding of Tetrahymena thermophila rRNA IVS sequence: a proposal.

We studied the Tetrahymena thermophila rRNA IVS sequence with the aim of obtaining a model of the structure characterized by the bases proximity of the self-reactions sites. The considered sequence kept up those fragments essential for its catalytic activity as demonstrated by deletion mutants. The first step was the theoretical analysis with a computer method previously proposed, to find optimal free energy secondary structures with the required features, under the suitable constrains. Then we tried folding the obtained secondary structures, in low resolution tertiary models, which kept up the proximity of the catalytic sites also in the space. The proposed tertiary folding seems to provide for a better explanation to the transesterification mechanisms and moreover it is in good agreement with the experimental data (activity of mutants, enzymatic cleavages, phylogenetically conserved regions).

Secondary structures of Tetrahymena thermophila rRNA IVS sequence involved in its self-splicing reactions: a new computer analysis.

The secondary structures of Tetrahymena thermophila rRNA IVS sequence involved in the self-splicing reactions, are theoretically investigated with a refined computer method previously proposed, able to select a set of the deepest free energy RNA secondary structures under constraints of model hypotheses and experimental evidences. The secondary structures obtained are characterized by the close proximity of self-reactions sites and account for double mutations experiments, and differential digestion data.

A new method to find a set of energetically optimal RNA secondary structures.

We present a computer method to determine nucleic acid secondary structures. It is based on three steps: 1) the search for all possible helical regions relied on a mathematical approach derived from the convolution theorem; it uses a tetradimensional complex vector representation of the bases along the sequence; 2) a 'tree' search for a set of minimum free energy structures, by the aid of an approximate energy evaluation to reduce the computer time requirements; 3) the exact calculation and refinement of the energies. A method to introduce the experimental data and reach an arrangement between them and the free energy minimization criterion is shown. In order to demonstrate the confidence of the program a test on four RNA sequences is performed. The method has computer time requirement proportional to N2, where N is the length of the sequence and retrieves a set of optimal free energy structures.

Specific interactions between DNA left-handed supercoils and actinomycin D.

The interactions between the natural cyclopentapeptide antibiotic actinomycin D (ACT) and circular pBR322 DNA have been studied by freezing the topological state of the DNA in the complex by topoisomerase I reaction. Both supercoiled and relaxed DNAs, in the complexes at low antibiotic/DNA base-pair ratios, showed a dramatic decrease in linking number that cannot be explained by taking into account only the generally accepted unwinding of 28 degrees for each ACT molecule bound. Recent results derived from the crystallographic analysis of the complex between GpC and ACT suggest that ACT could mediate non-covalent cross-links between distant sections of DNA. Bridges between ACT and different sections of the pBR322 double helix could also explain our results. Two-dimensional gel electrophoresis of ACT-relaxed pBR322 DNA complexes reveals that all supercoils induced by ACT are negative. Two models of the complexes which correspond to the stabilization of DNA crossing by one or two molecules of ACT are proposed. In both cases the ability of ACT to stabilize only DNA left-handed supercoils is derived from the chirality of ACT, when it interacts with DNA.

DNA topology in a chromatin model system.

The synthetic copolypeptide (Lys33, Leu67)100-Orn20, modeled on some general features of the histone sequences, has been found to supercoil the DNA double helix, wrapping it into a micelle, as a result of cohesive interactions between the polypeptide hydrophobic moieties. X-ray low-angle diffraction of complexes between the polypeptide and DNA is characterized by maxima at 50, 32, and 23 A, reminiscent of the chromatin pattern. The existence of a nucleosome-like structure along the DNA is suggested by gel electrophoresis analysis of DNA fragments after micrococcal nuclease digestion, showing the presence of a fragment of about 100 basepairs (bp) long. Topological experiments on the complexes with supercoiled as well as relaxed circular DNA by two-dimensional gel electrophoresis show the presence of left-handed superhelical turns. The results are in agreement with an intrinsic propensity of B-DNA to writhe into left-handed supercoils.