The role of local tight packing of hydrophobic groups in β-structure

An analysis of the tendency of hydrophobic groups to tight packing on the surface of β-sheets based on well-known parameters of β-sheets and hydrophobic groups was conducted. This analysis shows the existence of very limited numbers and clearly outlined architecture families of regular parts for the majority of β-structure-containing domains. Each family of architecture strongly depends on the number of β-strands in the pure β-domains and on the existence and number of additional α-helixes and on the mutual arrangements β-strands and α-helixes along the chain in mixed α/β-domains. This paper demonstrates that the tendency of hydrophobic groups to the local tight packing on the surface of β-sheets is probably the main reason for the twist of β-sheets. © 1993 Wiley-Liss, Inc.     

Cross-strand side-chain interactions versus turn conformation in beta-hairpins.

A series of designed peptides has been analyzed by 1H-NMR spectroscopy in order to investigate the influence of cross-strand side-chain interactions in beta-hairpin formation. The peptides differ in the N-terminal residues of a previously designed linear decapeptide that folds in aqueous solution into two interconverting beta-hairpin conformations, one with a type I turn (beta-hairpin 4:4) and the other with a type I + G1 beta-bulge turn (beta-hairpin 3:5). Analysis of the conformational behavior of the peptides studied here demonstrates three favorable and two unfavorable cross-strand side-chain interactions for beta-hairpin formation. These results are in agreement with statistical data on side-chain interactions in protein beta-sheets. All the peptides in this study form significant populations of the beta-hairpin 3:5, but only some of them also adopt the beta-hairpin 4:4. The formation of beta-hairpin 4:4 requires the presence of at least two favorable cross-strand interactions, whereas beta-hairpin 3:5 seems to be less susceptible to side-chain interactions. A protein database analysis of beta-hairpins 3:5 and beta-hairpins 4:4 indicates that the former occur more frequently than the latter. In both peptides and proteins, beta-hairpins 3:5 have a larger right-handed twist than beta-hairpins 4:4, so that a factor contributing to the higher stability of beta-hairpin 3:5 relative to beta-hairpin 4:4 is due to an appropriate backbone conformation of the type I + G1 beta-bulge turn toward the right-handed twist usually observed in protein beta-sheets. In contrast, as suggested previously, backbone geometry of the type I turn is not adequate for the right-handed twist. Because analysis of buried hydrophobic surface areas on protein beta-hairpins reveals that beta-hairpins 3:5 bury more hydrophobic surface area than beta-hairpins 4:4, we suggest that the right-handed twist observed in beta-hairpin 3:5 allows a better packing of side chains and that this may also contribute to its higher intrinsic stability.     

Energetic approach to the folding of alpha/beta barrels

The folding of a polypeptide into a parallel (alpha/beta)8 barrel (which is also called a circularly permuted beta 8 alpha 8 barrel) has been investigated in terms of energy minimization. According to the arrangement of hydrogen bonds between two neighboring beta-strands of the central barrel therein, such an alpha/beta barrel structure can be folded into six different types: (1) left-tilted, left-handed crossover; (2) left-tilted, right-handed crossover; (3) nontilted, left-handed crossover; (4) nontilted, right-handed crossover; (5) right-tilted, left-handed crossover; and (6) right-tilted, right-handed crossover. Here "tilt" refers to the orientational relation of the beta-strands to the axis of the central beta-barrel, and "crossover" to the beta alpha beta folding connection feature of the parallel beta-barrel. It has been found that the right-tilted, right-handed crossover alpha/beta barrel possesses much lower energy than the other five types of alpha/beta barrels, elucidating why the observed alpha/beta barrels in proteins always assume the form of right tilt and right-handed crossover connection. As observed, the beta-strands in the energy-minimized right-tilted, right-handed crossover (alpha/beta)8-barrel are of strong right-handed twist. The value of root-mean-square fits also indicates that the central barrel contained in the lowest energy (alpha/beta)8 structure thus found coincides very well with the observed 8-stranded parallel beta-barrel in triose phosphate isomerase (TIM). Furthermore, an energetic analysis has been made demonstrating why the right-tilt, right-handed crossover barrel is the most stable structure. Our calculations and analysis support the principle that it is possible to account for the main features of frequently occurring folding patterns in proteins by means of conformational energy calculations even for very complicated structures such as (alpha/beta)8 barrels.     

Structural principles for the propeller assembly of beta-sheets: the preference for seven-fold symmetry.

Twisted beta-sheets, packed face to face, may be arranged in circular formation like blades of a propeller or turbine. This beta-propeller fold has been found in three proteins: that in neuraminidase consists of six beta-sheets while those in methylamine dehydrogenase and galactose oxidase are composed of seven beta-sheets. A model for multisheet packing in the beta-propeller fold is proposed. This model gives both geometrical parameters of the beta-propellers composed of different numbers of sheets and patterns of residue packing at their sheet-to-sheet interfaces. All the known beta-propeller structures have been analyzed, and the observed geometries and residue packing are found to be in good agreement with those predicted by models. It is shown that unusual seven-fold symmetry is preferable to six- or eight-fold symmetry for propeller-like multi-sheet assembly. According to the model, a six-beta-sheet propeller has to have predominantly small residues in the beta-strands closed to its six-fold axis, but no strong sequence constraints are necessary for a seven-fold beta-propeller.     

Overcoming resistance to rapalogs in gliomas by combinatory therapies

Glioblastoma is the most common and aggressive brain tumor type, with a mean patient survival of approximately 1 year. Many previous analyses of the glioma kinome have identified key deregulated pathways that converge and activate mammalian target of rapamycin (mTOR). Following the identification and characterization of mTOR-promoting activity in gliomagenesis, data from preclinical studies suggested the targeting of mTOR by rapamycin or its analogs (rapalogs) as a promising therapeutic approach. However, clinical trials with rapalogs have shown very limited efficacy on glioma due to the development of resistance mechanisms. Analysis of rapalog-insensitive glioma cells has revealed increased activity of growth and survival pathways compensating for mTOR inhibition by rapalogs that are suitable for therapeutic intervention. In addition, recently developed mTOR inhibitors show high anti-glioma activity. In this review, we recapitulate the regulation of mTOR signaling and its involvement in gliomagenesis, discuss mechanisms resulting in resistance to rapalogs, and speculate on strategies to overcome resistance. This article is part of a Special Issue entitled: Inhibitors of Protein Kinases (2012).     

Mechanisms for nucleosome mobilization

Nucleosomes are the ubiquitous and fundamental packaging for eukaryotic genomes, and are the substrate for many processes in the nucleus. Nucleosomes are not static entities but can readily be moved by thermal energy and ATP-dependent chromatin remodeling complexes in a process known as sliding or shifting. We summarize from a mechanical perspective the twist defect and bulge diffusion mechanisms proposed as the most likely pathway for nucleosome mobilization. We then consider the elastic properties of DNA and how this affects the potential for each mechanism, concentrating on kinetic aspects of twist diffusion and possible planar bulge sizes and summarize the experimental evidence reflecting on each. Either, or both, mechanisms could occur, and careful experimentation focusing on their uniquely distinguishing features will be required to determine their relative contributions to chromatin dynamics.     

Stacking geometry for non‐canonical G:U wobble base pair containing dinucleotide sequences in RNA: dispersion‐corrected DFT‐D study

Emergence of thousands of crystal structures of noncoding RNA molecules indicates its structural and functional diversity. RNA function is based upon a large variety of structural elements which are specifically assembled in the folded molecules. Along with the canonical Watson‐Crick base pairs, different orientations of the bases to form hydrogen‐bonded non‐canonical base pairs have also been observed in the available RNA structures. Frequencies of occurrences of different non‐canonical base pairs in RNA indicate their important role to maintain overall structure and functions of RNA. There are several reports on geometry and energetic stabilities of these non‐canonical base pairs. However, their stacking geometry and stacking stability with the neighboring base pairs are not well studied. Among the different non‐canonical base pairs, the G:U wobble base pair (G:U W:WC) is most frequently observed in the RNA double helices. Using quantum chemical method and available experimental data set we have studied the stacking geometry of G:U W:WC base pair containing dinucleotide sequences in roll‐slide parameters hyperspace for different values of twist. This study indicates that the G:U W:WC base pair can stack well with the canonical base pairs giving rise to large interaction energy. The overall preferred stacking geometry in terms of roll, twist and slide for the eleven possible dinucleotide sequences is seen to be quite dependent on their sequences. © 2015 Wiley Periodicals, Inc. Biopolymers 103: 328–338, 2015.     

Applications of KAM theory to population dynamics

Computer simulations have shown that several classes of population models, including the May host-parasitoid model and the Ginzburg–Taneyhill ‘maternal-quality’ single species population model, exhibit extremely complicated orbit structures. These structures include islands-around-islands, ad infinitum, with the smaller islands containing stable periodic points of higher period. We identify the mechanism that generates this complexity and we discuss some biological implications.     

Evolution of the molluscan body plan: the case of the anterior adductor muscle of bivalves

The separated shell plates with the rearranged musculature (adductor muscle) is a novelty for bivalves. Despite its importance in the bivalve bodyplan, the development of the anterior adductor muscle remains unresolved. In this study, we investigate the myogenesis of the bivalve species Septifer virgatus to reveal the developmental origin of the larval muscles in bivalves, focusing on the anterior adductor muscle. We observed that larval retractor muscles are differentiated from the ectomesoderm in bivalves, and that the anterior adductor muscles are derived from primordial larval retractor muscles via segregation of the myoblast during the veliger larval stage. Through the comparative study of myogenesis in bivalves and its related taxa, gastropods, we found that both species possess myoblasts that emerge bilaterally and later meet dorsally. We hypothesize that these myoblasts, which are a major component of the main larval retractor in limpets, are homologous to the anterior adductor muscle in bivalves. These observations imply that the anterior adductor muscle of bivalves evolved as a novel muscle by modifying the attachment sites of an existing muscle.     

Finding of a zero linking number topoisomer

It is generally assumed that native deoxyribonucleic acid (DNA) is a right-handed double helix. A reasonable deduction is that during replication, the two parental strands have to unwind very quickly. However, this surmised quick unwinding is problematic and has never been proven experimentally. It is hypothesized that the two strands of DNA are winding with each other ambidextrously rather than plectonemically. The successful assembling and disassembling of a zero linking number topoisomer supports this hypothesis. It was further proven by quick separation of singly nicked DNA. The new DNA model was also verified by the “figure 8” structure, which is the annealing product of two single-stranded circular DNA with a 2 kb complementary insert in opposite directions. These experimental results are hard to be explained by the traditional Watson–Crick model. The significance of this finding in the understanding of DNA replication is briefly discussed.