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Abstract: We apply the Asymptotic Iteration Method to obtain the bound-state energy spectrum for the d-dimensional Klein-Gordon equation with scalar S(r) and vector potentials V(r). When S(r) and V(r) are both Coulombic, we obtain all the exact solutions; when the potentials are both of Kratzer type, we obtain all the exact solutions for S(r) = V(r); if S(r) > V(r) we obtain exact solutions under certain constraints on the potential parameters: in this case, a possible general solution is found in terms of a monic polynomial, whose coefficients form a set of elementary symmetric polynomials.

The purpose of this paper is to introduce some new polynomials obtained from second- and third-order algebraic equations by using a simple iterative method. One-variable polynomials obtained in this study deal with special form of Pöschl–Teller potential with constant energy, and the two-variable polynomials are related to time-dependent wave equations. We present some recurrence relations, Binet formula and get various families of linear, multilinear and multilateral generating functions for these polynomials. In addition, we derive some special cases. At the end of the paper we also give an extension to the multidimensional case of our results.

In this study, we present a disposable and inexpensive paper-like gold nanoparticle-embedded cellulose nanofibril substrate for the rapid enumeration of Escherichia coli(E. coli) using surface-enhanced Raman scattering (SERS) mapping. A disposable SERS substrate was simply constructed by mixing CNF and gold chloride solution at 120 °C in a water bath. The application of the resulting substrate was carried out by enrichment and SERS detection of E. coli. To this end, the spherical gold nanoparticle-embedded cellulose nanofibril substrate was used as a scavenger for E. coli. After the target bacteria E. coliwere separated from the matrix viaoriented antibodies, the sandwich assay procedure was carried out using 5,5-dithiobis-(2-nitrobenzoic acid) (DTNB)-coated Au nanorod particles that acted as SERS mapping probes. The distribution density of DTNB was demonstrated visually using SERS mapping, and the assay was completed in one hour. The correlation between the E. coliand SERS mapping signals was found to be linear within the range of 15 cfu mL−1to 1.5 × 105cfu mL−1. The limit of detection for the SERS mapping assay was determined to be 2 cfu mL−1. The selectivity of the developed method was examined with Micrococcus luteus(M. luteus), Bacillus subtilis(B. subtilis), and Enterobacter aerogenes(E. aerogenes), which did not produce any significant response. Furthermore, the developed method was evaluated for detecting E. coliin artificially contaminated samples, and the results were compared with those of the plate-counting method.

Background: Carbon nanotubes (CNTs) have been considered highly successful and proficient in terms of their mechanical, thermal and electrical functionalization and biocompatibility. In regards to their significant extent in bone regeneration, it has been determined that CNTs hold the capability to endure clinical applications through bone tissue engineering and orthopedic procedures. In the present study, we report on a composite preparation, involving the use of CNT-chitosan as scaffold for bone repair and regeneration. Through the use of water-soluble tetrazolium salt (WST-1) and double staining methods, the cytotoxic, necrotic, and apoptotic effects of chitosan-multiwalled carbon nanotube nanocomposites on the chondrocyte ATTC cell line have been exhibited. Methods: The chitosan-multiwalled carbon nanotube scaffolds were prepared. Chondrocytes differentiation tool (ATCC) cell line was prepared. WST-1 assay for cytotoxicity studies were performed by using chondrocytes cells in 12.5-200 μL concentration range. The samples of membranes (chitosan– multiwalled carbon nanotube scaffold) were measured at 2 mg/mL and further prepared amongst chitosan– multiwalled carbon nanotube scaffold’s which were placed into separate wells. While in the process of incubation, in the four-hour time range, the plates were immediately read in an Elisa microplate Reader. To predict the number of apoptotic and necrotic cells in culture, the technique of double staining with Hoechst dye was performed with PI on the basis of scoring cell nuclei. The mechanical properties such as tensile strength and elongation at break values of the chitosan only and chitosan/CNT scaffolds were evaluated on Texture Analyzer. Results: Based on the results of the WST-1 assay procedure, the amount of cell viability was not significantly affected by nanocomposite concentrations and the lowest mortality rate of cells was obtained at a concentration of 12.5 μg/mL, whereas the highest mortality rate was obtained at a rate of 200 μg/mL. In addition, the effects of chitosan-CNT nanocomposites were not found to cytotoxic on chondrocyte cells. The double staining method has been able to determine the apoptotic and necrotic effects of chitosan MWCNT nanocomposites. The apoptotic and necrotic effects of the combined compounds had varied within the concentrations. In a similar manner to the outcome of the control groups, apoptosis was obtained at a percentage of 2.67%. Under a fluorescent inverted microscope, the apoptotic cell nuclei were stained with a stronger blue fluorescence in comparison to non-apoptotic cells, which may have had an effect. We also compared the strain-stress curve measurements results. The results indicated that the mechanical properties of scaffold were not different. Elongation at break values increased by addition of CNT. Conclusion: CNTs as a biomaterial hold the potential to be used for applications in future regenerative medicine. By using the components of chondrocytes (ATTC) cell lines, the cytotoxicity evaluations were made for the chitosan-multiwalled carbon nanotube scaffold. The chitosan-MWCNT nanocomposites do not seem to induce drastic cytotoxicity to the chondrocyte cells.

In the present study we utilized a green synthesis approach by reduction route with ascorbic acid in the presence of starch as the capping agent. Here we aimed to generate a stable starch coating copper nanoparticles (Cu-SNPs) and to investigate their apoptotic and necrotic effects on Capan 1 pancreatic cancer cell line. The water soluble monodisperse starch-protected zero-valent copper nanoparticles were characterized by transmission electron microscopy, XPS, FTIR analysis. TEM images showed that the presence of metallic copper nanoparticles with anisotrophic morphologies and the sizes of 90% copper nanoparticles were in 50 nm and 80 nm range. Cetyltrimethylammonium bromide (CTAB) coated copper nanoparticles was also synthesized to compare the stability of starch coating copper nanoparticles. It was also found that copper nanoparticles were significantly protected by starch coating. Cu-SNPs exhibited stronger antimicrobial effects on Staphylocossusand Enterococcus. In vitrocell culture studies demonstrated that Cu-SNPs were not cytotoxic on L929-fibroblasts and Capan 1 pancreatic cancer cell in all concentrations used here (6.25–100 ppm) in different extends. The cytotoxic, necrotic, and apoptotic effects of Cu-SNPs on the Capan 1 pancreatic cancer cell line have been exhibited. Furthermore, the micronucleus test and hemolytic activity test were also performed.