Expansion of the σ-hole concept

The term “σ-hole” originally referred to the electron-deficient outer lobe of a half-filled p (or nearly p) orbital involved in forming a covalent bond. If the electron deficiency is sufficient, there can result a region of positive electrostatic potential which can interact attractively (noncovalently) with negative sites on other molecules (σ-hole bonding). The interaction is highly directional, along the extension of the covalent bond giving rise to the σ-hole. σ-Hole bonding has been observed, experimentally and computationally, for many covalently-bonded atoms of Groups V–VII. The positive character of the σ-hole increases in going from the lighter to the heavier (more polarizable) atoms within a Group, and as the remainder of the molecule becomes more electron-withdrawing. In this paper, we show computationally that significantly positive σ-holes, and subsequent noncovalent interactions, can also occur for atoms of Group IV. This observation, together with analogous ones for the molecules (H₃C)₂SO, (H₃C)₂SO₂ and Cl₃PO, demonstrates a need to expand the interpretation of the origins of σ-holes: (1) While the bonding orbital does require considerable p character, in view of the well-established highly directional nature of σ-hole bonding, a sizeable s contribution is not precluded. (2) It is possible for the bonding orbital to be doubly-occupied and forming a coordinate covalent bond. Figure Two views of the calculated electrostatic potential on the 0.001 au molecular surface of SiCl₄. Color ranges, in kcal/mole, are: purple, negative; blue, between 0 and 8; green, between 8 and 11; yellow, between 11 and 18; red, more positive than 18. The top view shows three of the four chlorines. In the center is the σ-hole due to the fourth Cl−Si bond, its most positive portion (red) being on the extension of that bond. In the bottom view are visible two of the σ-holes on the silicon. In both views can be seen the σ-holes on the chlorines, on the extensions of the Si−Cl bonds; their most positive portions are green     

ETS-NOCV description of σ-hole bonding

The ETS-NOCV analysis was applied to describe the σ-hole in a systematic way in a series of halogen compounds, CF₃-X (X?=?I, Br, Cl, F), CH₃I, and C(CH3)_nH_3-n-I (n?=?1,2,3), as well as for the example germanium-based systems. GeXH₃, X?=?F, Cl, H. Further, the ETS-NOCV analysis was used to characterize bonding with ammonia for these systems. The results show that the dominating contribution to the deformation density, Δρ ₁ , exhibits the negative-value area with a minimum, corresponding to σ-hole. The “size” (spatial extension of negative value) and “depth” (minium value) of the σ-hole varies for different X in CF₃-X, and is influenced by the carbon substituents (fluorine atoms, hydrogen atoms, methyl groups). The size and depth of σ-hole decreases in the order: I, Br, Cl, F in CF₃-X. In CH₃-I and C(CH3)_nH_3-n-I, compared to CF₃-I, introduction of hydrogen atoms and their subsequent replacements by methyl groups lead to the systematic decrease in the σ-hole size and depth. The ETS-NOCV σ-hole picture is consistent with the existence the positive MEP area at the extension of σ-hole generating bond. Finally, the NOCV deformation density contours as well as by the ETS orbital-interaction energy indicate that the σ-hole-based bond with ammonia contains a degree of covalent contribution. In all analyzed systems, it was found that the electrostatic energy is approximately two times larger than the orbital-interaction term, confirming the indisputable role of the electrostatic stabilization in halogen bonding and σ-hole bonding.

Neighboring group stabilization by σ-holes

We have used density-functional theory to investigate the neighboring-group stabilization of iodine, arsenic, and phosphorus-centered oxyanion moieties in species such as deprotonated 2-iodoxybenzoic acid (IBX) and its analogs. The magnitudes of different stabilizing effects and further candidates for analogous stabilization are analyzed.      

Polarization-induced σ-holes and hydrogen bonding

The strong collinear polarizability of the A-H bond in A-H···B hydrogen bonds is shown to lead to an enhanced σ-hole on the donor hydrogen atom and hence to stronger hydrogen bonding. This effect helps to explain the directionality of hydrogen bonds, the well known cooperative effect in hydrogen bonding, and the occurrence of blue-shifting. The latter results when significant additional electron density is shifted into the A-H bonding region by the polarization effect. The shift in the A-H stretching frequency is shown to depend essentially linearly on the calculated atomic charge on the donor hydrogen for all donors in which A belongs to the same row of the periodic table. A further result of the polarization effect, which is also expected for other σ-hole bonds, is that the strength of the non-covalent interaction depends strongly on external electric fields.     

Halogen bonding: the σ-hole

Halogen bonding refers to the non-covalent interactions of halogen atoms X in some molecules, RX, with negative sites on others. It can be explained by the presence of a region of positive electrostatic potential, the σ-hole, on the outermost portion of the halogen’s surface, centered on the R–X axis. We have carried out a natural bond order B3LYP analysis of the molecules CF₃X, with X = F, Cl, Br and I. It shows that the Cl, Br and I atoms in these molecules closely approximate the configuration, where the z-axis is along the R–X bond. The three unshared pairs of electrons produce a belt of negative electrostatic potential around the central part of X, leaving the outermost region positive, the σ-hole. This is not found in the case of fluorine, for which the combination of its high electronegativity plus significant sp-hybridization causes an influx of electronic charge that neutralizes the σ-hole. These factors become progressively less important in proceeding to Cl, Br and I, and their effects are also counteracted by the presence of electron-withdrawing substituents in the remainder of the molecule. Thus a σ-hole is observed for the Cl in CF₃Cl, but not in CH₃Cl. Figure Schematic representation of the atomic charge generation. The molecular electrostatic potential (MEP) is calculated using the AM1* Hamiltonian. The semiempirical MEP is then scaled to DFT or ab initio level and atomic charges are generated from it by the restrained electrostatic potential (RESP) fit method.     

Discovery of σ-hole interactions involving ylides

The positive electrostatic potentials (σ-hole) have been found in ylides CH₂XH₃ (X = P, As, Sb) and CH₂YH₂ (Y = S, Se, Te), on the outer surfaces of group VA and VIA atoms, approximately along the extensions of the C–X and C–Y bonds, respectively. These electrostatic potentials suggest that the above ylides can interact with nucleophiles to form weak, directional noncovalent interactions similar to halogen bonding interactions. MP2 calculations have confirmed the formation of CH₂XH₃···HM complexes (X = P, As, Sb; M = BeH, ZnH, MgH, Li, Na). The interaction energies, interaction distances, topological properties (electron density and its Laplacian), and energy properties (kinetic electron energy density and potential electron energy density) at the X(1)···H(10) bond critical points are all correlated with the most negative electrostatic potential value of HM, indicating that electrostatic interactions play an important role in these weak X···H interactions. Similar to the halogen bonding interactions, weak interactions involving ylides may be significant in several areas such as organic synthesis, crystal engineering, and design of new materials.     

Synthesis, σ₁, σ₂-receptors binding affinity and antiproliferative action of new C1-substituted adamantanes

The synthesis of N-{4-[a-(1-adamantyl)benzyl]phenyl}piperazines 2a-e is described. The in vitro antiproliferative activity of most compounds against main cancer cell lines is significant. The σ(1), σ(2)-receptors and sodium channels binding affinity of compounds 2 were investigated. One of the most active analogs, 2a, had an interesting in vivo anticancer profile against the BxPC-3 and Mia-Paca-2 pancreas cancer cell lines with caspase-3 activation, which was associated with an anagelsic activity against the neuropathic pain.     

DNA duplex stability as discriminative characteristic for Escherichia coli σ54- and σ28- dependent promoter sequences

The advent of modern high-throughput sequencing has made it possible to generate vast quantities of genomic sequence data. However, the processing of this volume of information, including prediction of gene-coding and regulatory sequences remains an important bottleneck in bioinformatics research. In this work, we integrated DNA duplex stability into the repertoire of a Neural Network (NN) capable of predicting promoter regions with augmented accuracy, specificity and sensitivity. We took our method beyond a simplistic analysis based on a single sigma subunit of RNA polymerase, incorporating the six main sigma-subunits of Escherichia coli. This methodology employed successfully re-discovered known promoter sequences recognized by E. coli RNA polymerase subunits σ²⁴, σ²⁸, σ³², σ³⁸, σ⁵⁴ and σ⁷⁰, with highlighted accuracies for σ²⁸- and σ⁵⁴- dependent promoter sequences (values obtained were 80% and 78.8%, respectively). Furthermore, the discrimination of promoters according to the σ factor made it possible to extract functional commonalities for the genes expressed by each type of promoter. The DNA duplex stability rises as a distinctive feature which improves the recognition and classification of σ²⁸- and σ⁵⁴- dependent promoter sequences. The findings presented in this report underscore the usefulness of including DNA biophysical parameters into NN learning algorithms to increase accuracy, specificity and sensitivity in promoter beyond what is accomplished based on sequence alone.     

Lock and key to transcription: σ-DNA interaction

How does RNA polymerase recognize a promoter in duplex DNA? How are the DNA strands pried apart to enable RNA synthesis? A crystal structure by Feklistov and Darst unexpectedly reveals that these two processes are interconnected.     

Effect of structural modification in the amine portion of substituted aminobutyl-benzamides as ligands for binding σ1 and σ2 receptors

5-Bromo-N-[4-(6,7-dimethoxy-3,4-dihydro-1H-isoquinolin-2-yl)-butyl)]-2,3-dimethoxy-benzamide (1) is one of the most potent and selective σ(2) receptor ligands reported to date. A series of new analogs, where the amine ring fused to the aromatic ring was varied in size (5-7) and the location of the nitrogen in this ring was modified, has been synthesized and assessed for their σ(1)/σ(2) binding affinity and selectivity. The binding affinity of an open-chained variant of 1 was also evaluated. Only the five-membered ring congener of 1 displayed a higher σ(1)/σ(2) selectivity, derived from a higher σ(2) affinity and a lower σ(1) affinity. Positioning the nitrogen adjacent to the aromatic ring in the five-membered and six-membered ring congeners dramatically decreased affinity for both subtypes. Thus, location of the nitrogen within a constrained ring is confirmed to be key to the exceptional σ(2) receptor binding affinity and selectivity for this active series.     

Ibogaine possesses a selective affinity for σ2 receptors

The alkaloid ibogaine is potentially useful to reduce craving for several drugs of abuse, but its mechanism of action is not known. In the current study, in vitro studies were conducted in order to determine the affinity of ibogaine for sigma receptors. Our results indicate that ibogaine has a relatively high affinity for σ₂ receptors (K_i = 90.4 and 250 nM) and a significantly lower affinity for σ₁ receptors (K_i = 9310 nM). These data suggest that ibogaine may have a higher affinity at σ₂ receptors than any other known CNS receptor. Its low affinity for σ₁ receptors also suggests that ibogaine may be a suitable lead compound for structure-activity relationship studies aimed at developing σ₂-selective ligands.     

Stimulation of σ1 Receptors Alleviates Reperfusion-Induced Myocardial Stunning

In vivo or in vitro administration of a ₁ receptor agonist d-SKF 10.047 (1 mg/kg intravenously or 10 mg/l in vitro) promoted an increase in the resistance of isolated perfused rat heart to ischemia/reperfusion injury. Both in vivo and in vitro stimulation of receptors prevents the development of reperfusion contracture and creatine kinase release and increases the developed pressure, double product, +dP/dt, and –dP/dt in the left ventricle. Activation of receptors has no significant effect on the occurrence of reperfusion arrhythmias ex vivo. Stimulation of cardiac sigma receptors is proposed to prevent myocardial stunning.     

The Mycobacterial MsDps2 Protein Is a Nucleoid-Forming DNA Binding Protein Regulated by Sigma Factors σA and σB

The Dps (DNA-binding protein from starved cells) proteins from Mycobacterium smegmatis MsDps1 and MsDps2 are both DNA-binding proteins with some differences. While MsDps1 has two oligomeric states, with one of them responsible for DNA binding, MsDps2 has only one DNA-binding oligomeric state. Both the proteins however, show iron-binding activity. The MsDps1 protein has been shown previously to be induced under conditions of starvation and osmotic stress and is regulated by the extra cellular sigma factors σ^H and σ^F. We show here, that the second Dps homologue in M. smegmatis, namely MsDps2, is purified in a DNA-bound form and exhibits nucleoid-like structures under the atomic force microscope. It appears that the N-terminal sequence of Dps2 plays a role in nucleoid formation. MsDps2, unlike MsDps1, does not show elevated expression in nutritionally starved or stationary phase conditions; rather its promoter is recognized by RNA polymerase containing σ^A or σ^B, under in vitro conditions. We propose that due to the nucleoid-condensing ability, the expression of MsDps2 is tightly regulated inside the cells.     

The rpoH gene encoding σ32 homolog of Vibrio cholerae

The Vibrio cholerae rpoH gene coding for the heat-shock sigma factor, σ³², has been cloned and shown to functionally complement Escherichia coli rpoH mutants. The nt sequence of the gene has been determined and the deduced aa sequence is more than 80% homologous to the E. coli rpoH gene product. Downstream of the V. cholerae rpoH gene, an unidentified dehydrogenase gene (udhA) is present on the opposite strand facing rpoH. The predicted secondary structure of the 5′-proximal region of V. cholerae rpoH mRNA is apparently different from the conserved secondary structures of the rpoH mRNA reported for several bacterial species. The `RpoH box', a stretch of 9 aa (QRKLFFNLR) unique to σ<sup>32</sup> factors, and the `downstream box' sequence complementary to a part of the 16S rRNA, have been detected.     

Evolutionary analysis of prokaryotic heat-shock transcription regulatory protein σ³²

Heat-stress to any living cell is known to trigger a universal defense response, called heat-shock response, with rapid induction of tens of different heat-shock proteins. Bacterial heat-shock genes are transcribed by the σ³²-bound RNA polymerase instead of the normal σ⁷⁰-bound RNA polymerase. In this study, the diversity in sequence, variation in secondary structure and function amongst the different functional regions of the proteobacterial σ³² family of proteins, and their phylogenetic relationships have been analyzed. Bacterial σ³² proteins can be subdivided into different functional regions which are referred to as regions 2, 3, and 4. There is a great deal of sequence conservation among the functional regions of proteobacterial σ³² family of proteins though some mutations are also present in these regions. Region 2 is the most conserved one, while region 4 has comparatively more variable sequences. In the present work, we tried to explore the effects of mutations in these regions. Our study suggests that the sequence diversities due to natural mutations in the different regions of proteobacterial σ³² family lead to different functions. So far, this study is the first bioinformatic approach towards the understanding of the mechanistic details of σ³² family of proteins using the protein sequence information only. This study therefore may help in elucidating the hitherto unknown molecular mechanism of the functionalities of σ³²family of proteins.