catena‐Poly[[[tetrakis(μ‐acetato‐κ2O:O′)dirhodium(II)]‐μ‐[1,3‐bis(dimethylamino)propan‐2‐ol‐κ2N:N′]] tetrahydrofuran hemisolvate]

In the structure of the title compound, {[Rh₂(C₂H₃O₂)₄(C₇H₁₈N₂O)]·0.5C₄H₈O}_n or {[Rh₂(O₂CMe)₄(Hbdmap)]·0.5C₄H₈O}_n, where Hbdmap is 1,3‐bis­(dimethyl­amino)propan‐2‐ol, each Hbdmap ligand is coordinated to two [Rh₂(O₂CMe)₄] units by two N atoms, resulting in a polymeric chain structure. The observed coordination mode of the Hbdmap mol­ecule is unprecedented.     

On dimension of inverse limits with upper semicontinuous set-valued bonding functions

We give results about the dimension of continua, obtained by combining inverse limits of inverse sequences of metric spaces and one-valued bonding maps with inverse limits of inverse sequences of metric spaces and upper semicontinuous set-valued bonding functions, by standard procedure introduced in [I. Bani?, Continua with kernels, Houston J. Math. (2006), in press].     

Interaction of Zn(II) with quinolone drugs: structure and biological evaluation

Zinc complexes with the third-generation quinolone antibacterial drugs levofloxacin and sparfloxacin have been synthesized and characterized. The deprotonated quinolones act as bidentate ligands coordinated to zinc ion through the pyridone and a carboxylato oxygen atom. The crystal structures of [bis(aqua)bis(levofloxacinato)zinc(II)], 1, and [bis(sparfloxacinato)(1,10-phenanthroline)zinc(II)], 3, have been determined by X-ray crystallography. The biological activity of the complexes has been evaluated by examining their ability to bind to calf-thymus DNA (CT DNA) by UV spectroscopy and viscosity measurements. UV studies of the interaction of the complexes with DNA have revealed that they can bind to CT DNA probably by the intercalative binding mode which has also been verified by DNA solution viscosity measurements. The DNA binding constants have been also calculated. A competitive study with ethidium bromide (EB) showed that the complexes exhibit the ability to displace the DNA-bound EB indicating that they bind to DNA in strong competition with EB for the intercalative binding site. The interaction of the complexes with human and bovine serum albumin proteins has been studied by fluorescence spectroscopy showing that the complexes exhibit good binding propensity to these proteins having relatively high binding constant values. The biological properties of the complexes have been evaluated in comparison to the previously reported Zn(II) complexes with the first- and second-generation quinolones oxolinic acid and enrofloxacin.     

Time-dependent variational principle for quantum lattices

We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary-time dynamics for infinite one-dimensional quantum lattices. This procedure (i) is argued to be optimal, (ii) does not rely on the Trotter decomposition and thus has no Trotter error, (iii) preserves all symmetries and conservation laws, and (iv) has low computational complexity. The algorithm is illustrated by using both an imaginary-time and a real-time example.     

Atomic absorption background of Ba in EXAFS analysis of BaFe12O19 nanoparticles

The approximate barium X‐ray atomic absorption in the energy region of L‐edges is reconstructed from the absorption spectrum of an aqueous solution of BaCl₂. The result is corroborated by comparison with pure atomic absorption spectra of neighbour elements Xe and Cs. The application of the atomic absorption signal as a proper EXAFS background is demonstrated and discussed in the analysis of Ba hexaferrite nanoparticles with a very weak structural signal. The essential gain is found in the decrease of uncertainty intervals of structural parameters and their correlations. A simple analytical model of the absorption background for the practical EXAFS analysis is demonstrated.     

Covalent versus Noncovalent Binding of Ruthenium η6-p-Cymene Complexes to Zinc-Finger Protein NCp7

Ruthenium–arene complexes are a unique class of organometallic compounds that have been shown to have prominent therapeutic potencies. Here, we have investigated the interactions of Ru-cymene complexes with a zinc-finger protein NCp7, aiming to understand the effects of various ligands on the reaction. Five different binding modes were observed on selected Ru-complexes. Ru-cymene complex can bind to proteins through either noncovalent binding alone or through a combination of covalent and noncovalent binding modes. Moreover, the noncovalent interaction can promote the coordination of Ru^II to NCp7, resulting synergistic effects of the different ligands. The binding of Ru(Cym) complexes leads to dysfunction of NCp7 through zinc-ejection and structural perturbation. These results indicate that the reactivity of Ru-complexes can be modulated by ligands through different approaches, which could be closely correlated to their different therapeutic effects.     

Cartesian products of directed graphs with loops

We show that every nontrivial finite or infinite connected directed graph with loops and at least one vertex without a loop is uniquely representable as a Cartesian or weak Cartesian product of prime graphs. For finite graphs the factorization can be computed in linear time and space.     

Intermolecular C—H...π interactions in 1,5‐diphenyl‐3‐(2‐pyridyl)‐2‐pyrazoline

The title compound, C₂₀H₁₇N₃, is a derivative of 1,3,5‐triaryl‐2‐pyrazoline and can act as an N,N′‐bidentate ligand. This molecule features strong fluorescence that can be explained by an extended pyridyl–C=N—N–phenyl system. The three‐dimensional structure is formed by means of an extended network of weak C—H...π hydrogen bonds supported by π–π interactions.     

Characterizing Flag Graphs and Induced Subgraphs of Cartesian Product Graphs

The vertices of the flag graph Φ(P) of a graded poset P are its maximal chains. Two vertices are adjacent whenever two maximal chains differ in exactly one element. In this paper we characterize induced subgraphs of Cartesian product graphs and flag graphs of graded posets. The latter class of graphs lies between isometric and induced subgraphs of Cartesian products in the embedding structure theory. Both characterization use certain edge-labelings of graphs.     

Algorithms for computing preimages of cellular automata configurations

This paper investigates pre-images (ancestors or past configurations) of specified configurations of one-dimensional cellular automata. Both counting and listing of pre-images are discussed. The main graphical tools used are the de Bruijn diagram, and its extension the pre-image network, which is created by concatenating de Bruijn diagrams. The counting of pre-images is performed as the multiplication of topological matrices of de Bruijn diagrams. Listing of pre-images is described using two algorithms. The first algorithm traces paths in the pre-image network and focuses on local knowledge of the network. The second performs a complete analysis of the network before proceeding with listing.