On entire matrix-valued functions

Let A(z) be a given polynomial n×n matrix with det A(z)=1. It is shown that there exists an entire matrix-valued function X(z) such that expX(z)=A(z) if and only if the eigenvalues of A(z) are independent of z.     

Cyclic voltammetry of nucleic acids and determination of submicrogram quantities of deoxyribonucleic acids by adsorptive stripping voltammetry

In cyclic voltammetry (at a mercury drop electrode) guanine residues in the polynucleotide chain give a characteristic anodic peak at potentials close to ?0.3 V (vs. saturated calomel electrode). At low concentrations of polynucleotide, this peak can be enhanced substantially if the potential scan is preceded by adsorptive preconcentration of the polynucleotide at the hanging mercury drop electrode. With accumulation times shorter than 10 min at pH 6.8, the limit of detection of a single-stranded polynucleotide is < 0.1 μg ml^?1. The peak of double-helical deoxyribonucleic acid (DNA) is considerably lower than that of single-stranded DNA under the same conditions, which can be exploited to determine low concentrations of single-stranded DNA in the presence of double-stranded DNA.     

Synthesis and biological evaluation of disulfide-linked HPMA copolymer-mesochlorin e6 conjugates

Novel polymeric delivery systems for the photosensitizer mesochlorin e6 (Mce6) were synthesized to overcome problems of systemic toxicity. A disulfide bond was included to allow for quick release of Mce6 from the N-(2-hydroxypropyl)methacrylamide (HPMA) copolymer backbone once internalized in tumor tissue. The synthesized conjugates demonstrated a time-dependent reductive cleavage with an accompanying increase in the quantum yield of singlet oxygen generation on exposure to DTT. Quicker release kinetics and a higher cytotoxicity in SKOV-3 human ovarian carcinoma cells were obtained as compared to polymer conjugate with a proteolytically cleavable GFLG spacer. These novel conjugates hold promise as clinically relevant drug delivery systems for photodynamic therapy of cancer.     

Determination of ascorbic acid in human plasma with a view to stability using HPLC with UV detection

A method for the measurement of ascorbic acid using HPLC with UV detection and investigation into the protein precipitation techniques with regard to stability and recovery are described. The effectiveness of various protein precipitants was tested. Stability of ascorbic acid samples for analysis was investigated over 10 h. Ascorbic acid samples extracted with metaphosphoric acid were stable on a cooled autosampler (4 degrees C) for at least 10 h (with a decline of 1.8% for ascorbic acid solution and 2.8% for plasma). Perchloric acid as protein precipitant for ascorbic acid was unsuitable (with a decline of 36.0% for ascorbic acid solution and 7.3% for plasma). Analytical performance of this method is satisfactory. The intra- and interassay coefficients of variation were 2.1% (n = 10) and 5.8% (n = 12), respectively. The calibration curve was linear with the tested range of 2.0-250.0 micromol/L. The recovery was 96.1% with CV = 4.8% (n = 6) and the LOD was 3 micromol/L. The preliminary reference ranges of ascorbic acid in a group of blood donors are 50.8 +/- 22.4 micromol/L. This assay is a highly sensitive and reproducible HPLC method for the determination of ascorbic acid in human plasma.     

Identification of collagen types in tissues using HPLC-MS/MS

A method for the determination and quantification of collagen types I-V in rat tissues has been developed. This method is based on collagen fragmentation by cyanogen bromide followed by trypsin digestion. After that, HPLC-MS/MS (HPLC coupled to an IT mass spectrometer) analyses of the resulting peptide mixtures (peptide maps) were performed. Specific peptides for each collagen type were selected. According to online databases, these peptides are present in human, bovine, and rat collagens. As a result, this method can be potentially applied to other species' tissues as well, such as human tissues, and provides a universal and simple method of quantifying collagen types. The applicability of this method for analyzing collagen types was demonstrated on rat tissues (skin, tendon, and aorta).     

Layered double hydroxide intercalated with p-methylbenzoate and p-bromobenzoate: molecular simulations and XRD analysis

Samples of Mg4Al2 layered double hydroxide (LDH) intercalated with p-methylbenzoate and p-bromobenzoate anions were prepared by reconstruction of calcined LDH. The interlayer arrangement of guests was investigated by molecular modeling combined with X-ray powder diffraction and thermogravimetry. Molecular modeling was carried out in a Cerius2 modeling environment. In both structures the guest anions adopt a nearly perpendicular arrangement of their long axis with respect to the host layers and they are anchored to the OH groups of the layers through COO* groups via electrostatic interactions. Molecular modeling revealed that both structures of the intercalates exhibit a certain disorder of guest anions in the interlayer space. In the case of LDH-p-methylbenzoate intercalate the anions tend to be situated in disordered rows, and the LDH-p-bromobenzoate intercalate exhibits a total disorientation of guest anions. A good agreement between calculated and measured X-ray diffraction patterns and between experimental and calculated basal spacings was obtained. In the LDH-p-methylbenzoate intercalate d exp=16.96 A and d calc=16.97 A, and in the case of LDH-p-bromobenzoate intercalate d exp=17.19 A and d calc=17.40 A.     

Comparison of CE-MS and LC-MS Analyses of Avian Eggshell Matrix Proteins

CE-MS and HPLC-MS methods were developed and compared for the analysis of insoluble proteins in an avian eggshell matrix. The eggshell was gradually decalcified to obtain four distinct layers (cuticle, two palisade and a mammillary layer). The insoluble proteinaceous films from these layers were chemically and/or enzymatically splitted with CNBr/trypsin and proteinase K. The generated peptides were separated by CE and HPLC on-line coupled to MS detection. Capillary electrophoresis (CE) was coupled to an ion-trap electrospray ionization mass spectrometer (Agilent LC-MSD Trap XCT-Ultra) using a grounded needle carrying a flow of sheath liquid (5 mM ammonium acetate/2-propanol, 1:1, at flow-rate 3 μL min^?1). Five main proteins were identified: ovocleidin-116, ovocalyxin-32, ovocalyxin-36, ovocleidin-17 and ovalbumin. The distribution of these proteins in the eggshell was found to be dependent on the location/layer. In the outermost layer (the cuticle layer) the dominant protein is ovocalyxin-32; ovocleidin-116 is distributed throughout all layers while ovalbumin is present only in the internal mammillary layer. The CE-MS peptide maps of eggshell proteins were compared to the HPLC-MS ones, and a different mechanism of separation (migration/elution order) was demonstrated for both methods.     

Modification of flow properties of concentrated lignite dispersions

Concentrated water-based lignite suspensions (pastes) possess unpleasant flow behaviour. Under extrusion-like conditions suspension is rapidly compacted, viscosity rises considerably and flow effectively ceases. Using diluted aqueous solution of carboxymethylcellulose sodium salt as a dispersion medium eliminates this adverse phenomenon and keeps liquid-like flowing of suspension. Moreover, effective dilatant suspension behaviour is transformed to pseudoplastic.     

An abstract analogon of the de Branges-Rovnyak functional model

Given a Hilbert spaceK generated by two of its subspaces,K=K ₁K ₂, we investigate the representation ofK inK ₁K ₂ which assigns to eachk K the pairPk=P(K ₁)k P(K ₂)k consisting of its orthogonal projections ontoK ₁ andK ₂.A part of this work was done during the visit of the second author at the University of Sevilla, Spain in September-October 1989. The support of Junta Andalusia is gratefully aknowledged.