Abstract. Let αk(λ) denote the number of k-hooks in a partition λ and let b(n, k) be the maximum value of αk(λ) among partitions of n. Amdeberhan posed a conjecture on the generating function of b(n, 1). We give a proof of this conjecture. In general, we obtain a formula that can be used to determine b(n, k). This leads to a generating function formula for b(n, k). We introduce the notion of ne...

background: liver fatty acid-binding protein (l-fabp) is the main cytosolic binding site for long chain fatty acids in hepatocytes. fabps enhance the uptake of fatty acids into the cell by increasing their concentration due to decreasing concentration of unbound fatty acids inside the cell. objectives: the aim of this study was to evaluate the effects of dietary unsaturated to saturated fatty a...

objective(s): several beneficial effects have been attributed to the probiotic lactic acid bacteria. it was determined that lactobacilli can exert antiproliferative effects on the various cancer cell lines including colon cancer. effects of lactic acid bacteria on colon cancer may vary from strain to strain and there is a need to find the new probiotic strains with tumor suppressing properties ...

there have been efforts to overcome the problem in treatment of cancer using medicinal plants. it has been shown that citrus essential oil of contains different terpens with antitumor activities. in this study we sought to determine the cytotoxicity of essential oils of iranian citrus limon (l.), c. medica (l.), c. sinsensis (l.) peels on cancer cell lines. essential oils were prepared by hydro...

For all industrial processes, modelling, optimisation and control are the keys to enhance productivity and ensure product quality. In the current study, the optimization of process parameters for improving the conversion of isoeugenol to vanillin by Psychrobacter sp. CSW4 was investigated by means of Taguchi approach and Box-Behnken statistical design under resting cell conditions. Taguchi desi...

introduction: lead toxicity induces retinal cell apoptosis. vitamin c and garlic may decrease lead-induced apoptosis. this study was undertaken to investigate vitamin c and garlic protective effects on lead-induced apoptosis in eye retina. methods: pregnant wistar rats (n = 72) were divided randomly into 9 groups: (l) treated rats with lead acetate in drinking water and (l+aa) with leaded water...

the 2-(methylamino) pyridine, l, reacts with cucl in thf to give hexameric copper (i) complex, [cucl(l)]6. the molecular structure has been determined by using single-crystal x-ray diffraction method. the complex crustallizes in the monoclinic space group p21/n with four molecules per unit cell. the unit cell dimensions are a = 8.3495 (15), b = 15.622 (6), and c = 17.030(4) å with b= 98.55 (2)°...

There have been efforts to overcome the problem in treatment of cancer using medicinal plants. It has been shown that Citrus essential oil of contains different terpens with antitumor activities. In this study we sought to determine the cytotoxicity of essential oils of Iranian Citrus limon (L.), C. medica (L.), C. sinsensis (L.) peels on cancer cell lines. Essential oils were prepared by hydr...

Objective(s): Several beneficial effects have been attributed to the probiotic lactic acid bacteria. It was determined that lactobacilli can exert antiproliferative effects on the various cancer cell lines including colon cancer. Effects of lactic acid bacteria on colon cancer may vary from strain to strain and there is a need to find the new probiotic strains with tumor suppressing properties ...