Raman microscopy for the chemometric analysis of tumor cells

Raman spectroscopy is recognized as a tool for chemometric analysis of biological materials due to the high information content relating to specific physical and chemical qualities of the sample. Thirty cells belonging to two different prostatic cell lines, PNT1A (immortalized normal prostate cell line) and LNCaP (malignant cell line derived from prostate metastases), were mapped using Raman microscopy. A range of spectral preprocessing methods (partial least-squares discriminant analyses (PLSDAs), principal component analyses (PCAs), and adjacent band ratios (ABRs)) were compared for input into linear discriminant analysis to model and classify the two cell lines. PLSDA and ABR were able to correctly classify 100% of cells into benign and malignant groups, while PLSDA correctly classified a greater proportion of individual spectra. PCA was used to image the distribution of various biochemicals inside each cell and confirm differences in composition/distribution between benign and malignant cell lines. This study has demonstrated that PLSDAs and ABRs of Raman data can identify subtle differences between benign and malignant prostatic cells in vitro.     

Designing of Zn (II)-based novel coordination polymer (CP): Synthesis,characterization, and heavy metal removal from water

A new coordination polymer, Zn-(OC-AMAM-CO) CP, has been synthesized from Zn (II) as ionic node and 2,2′-((1,2-phenylenebis [azanediyl])bis (carbonyl))dibenzoic acid, (OC-AMAM-CO), as a new linker, where (OC-AMAM-CO) has been synthesized as an amide product through condensation reaction of phthalic acid and o-phenylenediamine. The amide product (OC-AMAM-CO) and Zn-(OC-AMAM-CO) CP were characterized via FTIR and PXRD analyses, and Zn-(OC-AMAM-CO) CP was further characterized via SEM/EDX and XPS analyses. Moreover, DFT study was performed to shed light on the both structures of (OC-AMAM-CO) and Zn-(OC-AMAM-CO). PXRD analysis revealed the successful syntheses of the new linker (OC-AMAM-CO) and Zn-(OC-AMAM-CO) CP where the new CP is crystalline. DFT study revealed that the 3D topological structure assembled through coordination, π–π stacking, and hydrogen bonding. Zn-(OC-AMAM-CO) CP was applied as an adsorbent for the removal of Cu (II) from water as it has abundant chelating groups that serve as adsorptive coordinating sites. Isotherm study revealed the obedience of Cu (II)/Zn-(OC-AMAM-CO) CP adsorption system to Langmuir modeling with adsorption capacity of about 55 mg/g. A kinetic study showed that the rate of adsorption was a pseudo-first-order type. Further, adsorption process was found to be strongly diffusion dependent.     

A note on kernel methods for multiscale systems with critical transitions

We study the maximum mean discrepancy (MMD) in the context of critical transitions modelled by fast‐slow stochastic dynamical systems. We establish a new link between the dynamical theory of critical transitions with the statistical aspects of the MMD. In particular, we show that a formal approximation of the MMD near fast subsystem bifurcation points can be computed to leading order. This leading order approximation shows that the MMD depends intricately on the fast‐slow systems parameters, which can influence the detection of potential early‐warning signs before critical transitions. However, the MMD turns out to be an excellent binary classifier to detect the change‐point location induced by the critical transition. We cross‐validate our results by numerical simulations for a van der Pol‐type model.     

On higher-order averaging of time-periodic systems: reconciliation of two averaging techniques

Nonlinear Dynamics - In this paper we show how higher-order averaging can be used to remedy serious technical issues with the direct application of the averaging theorem. While doing so, we...     

Photometric microdetermination of acetyl groups in organic compounds

A method for the microdetermination of acetyl groups is described which combines features of the known transesterification and the hydroxamate methods. All acetyl groups attached to oxygen or nitrogen are converted to methyl acetate which is distilled off and determined photometrically as the iron complex of the acethydroxamic acid. A slightly modified technique permits the selective determination of acetyl groups in the presence of formyl groups.     

Random lasing in freely suspended dye-doped nematic liquid crystals

Random lasing in fully disordered systems having organic and inorganic nature has been the subject of extensive studies since the beginning of the past decade. The interest mainly emerges from the unexpected role played by disorder in the laser action. The disorder was considered detrimental for the optical feedback in cavity laser, until it was demonstrated that multiple-scattering materials including a gain medium act as random laser. Here, a completely new approach is reported, where freely suspended complex fluid films doped with fluorescent molecules under optical excitation generate narrowband lasing peaks. The constellation of localized modes is selected by properly choosing the gain profile. The idea to have laser action in absence of mirrors and boundaries realizes an unparalleled tunable and moldable laser source.     

Polarographic Determination of the Formation Constants of the Mixed Ligand Complexes of Cd(II) and Pb(II) with Thiosulphate and Halide Ions

The mixed ligand complexes of Cd(II) and Pb(II) with thiosulphate as a primary ligand and chloride, bromide of iodide (individually) as a secondary ligand have been polarographically, investigated at 30°C and at a constant ionic strength of μ = 1.0 M (NaClO₄). Two mixed ligand complexes were formed with the Cd(II) ion: log β₁₂ = 4.77, 5.30 and 6.78 for the chloride, bromide and iodide ions, respectively; and log β₂₁ = 5.36, 5.04 and 6.22 for the same ions. For the Pb(II)-Ts-Cl system, only one mixed ligand complex was formed with a log stability constant log β₂₁ =4.35. For the Pb(II)-Ts-Br system, three mixed ligand complexes are obtained with log β₁₁ = 3.63, log β₁₂ = 4.51 and log β₂₁ = 4.85.     

Limit distributions of generalized order statistics in a stationary Gaussian sequence

In this paper we study the limit distributions of extreme, intermediate and central m-generalized order statistics, as well as m-dual generalized order statistics, of a stationary Gaussian sequence under equi-correlated set up. Moreover, the result of extremes is extended to a wide subclass of generalized order statistics, as well as dual generalized order statistics, when the parameters γ_1,n, γ_2,n,?…?, γ_n,n are assumed to be pairwise different.     

Quantum-dot Semiconductor Optical Amplifiers in State Space Model

A state space model(SSM) is derived for quantum-dot semiconductor optical amplifiers(QD-SOAs).Rate equations of QD-SOA are formulated in the form of state update equations,where average occupation probabilities along QD-SOA cavity are considered as state variables of the system.Simulations show that SSM calculates QD-SOA's static and dynamic characteristics with high accuracy.