• East Asian mathematical journal
• /
• v.40 no.3
• /
• pp.319-328
• /
• 2024

We establish an existence result for a positive solution to the Schrödinger-type singular semipositone problem: $-{\Delta}u\,=\,V(x)u\,=\,{\lambda}{\frac{f(u)}{u^{\alpha}}}$ in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in ℝ^N , N > 2, λ ∈ ℝ is a positive parameter, V ∈ L^∞(Ω), 0 < α < 1, f ∈ C([0, ∞), ℝ) with f(0) < 0. In particular, when ${\frac{f(s)}{s^{\alpha}}}$ is sublinear at infinity, we establish the existence of a positive solutions for λ ≫ 1. The proofs are mainly based on the sub and supersolution method. Further, we extend our existence result to infinite semipositone problems with mixed boundary conditions.

• Korean Journal of Pharmacognosy
• /
• v.38 no.2 s.149
• /
• pp.181-186
• /
• 2007

Seven phenolic compounds, scopoletin (1), caffeic acid methyl ester (2), apigenin 7-O-${\alpha}$-L-rhamnosyl-(1${\rightarrow}$6)-O-${\alpha}$-D-glucoside (3), isorhamnetin 7-O-${\alpha}$-D-glucoside (4), isorhamnetin 3-O-${\alpha}$-D-glucoside (5), luteolin (6), and quercetin 3-methyl ether (7) were isolated from the methanol extract of the flowers of S. excelsus. Their structures were established by chemical and spectroscopic methods. The isolated compounds were tested for their cytotoxicity against four human cancer cell lines in vitro using a SRB method. The compounds 4 and 7 showed moderate cytotoxicity with ED$_{50}$ values ranging from 1.59 to 13.14${\mu}$g/ml.

• Journal of the Korean Chemical Society
• /
• v.18 no.3
• /
• pp.215-220
• /
• 1974

Conformations and cofigurations were studied for some ${\alpha},{\beta}$-unsaturated phenylhydrazones which have similar structures to the stucture of butenedial bistosylhydrazone, a precursor of tetrahedrane, by the analysis of their nmr spectra. The chemical shift difference between two solvents, benzene and aliphatic solvents, was applied for the assigning syn and anti structures of phenylhydrazone isomers as a convenient method. In this work, it was found that the phenylhydrazones have syn configurations and also found that the dihedral angles of $CH_a-CH_b$ are around $150^{\circ}$ at room temperature from the the interpretation of the vicinal spin-spin coupling constants. These results were discussed in concerning with their conformations.

• Journal of Periodontal and Implant Science
• /
• v.34 no.2
• /
• pp.461-474
• /
• 2004

The purpose of this study was to assess some biological activities of lipopolysaccharides (LPSs) from P. intermedia and P. nigrescens. LPS was prepared by the standard hot phenol-water method. NO production was assayed by measuring the accumulation of nitrite in culture supernatants. $TNF-{\alpha}$ production was determined by enzyme-linked immunosorbent assay. Western blot analysis of iNOS and analysis of reverse transcription (RT)-PCR products were carried out. LPS from P. intermedia demonstrated higher KDO content than those from two stains of P. nigrescens. LPSs from P. intermedia and P. nigrescens were mitogenic for spleen cells of BALB/C mouse. The present study clearly shows that LPSs from P. intermedia and P. nigrescens fully induced iNOS expression and NO production in RAW264.7 cells in the absence of other stimuli. Moreover, LPSs from P. intermedia and P. nigrescens clearly induced $TNF-{\alpha}$ production in RAW264.7 cells. The biological activities of LPS from P. intermedia was found to be comparable to those of P. nigrescens LPS. The ability of LPSs from P. intermedia and P. nigrescens to promote the production of NO and $TNF-{\alpha}$ may be important in the pathogenesis of inflammatory periodontal disease.

• Neonatal Medicine
• /
• v.15 no.2
• /
• pp.183-189
• /
• 2008

Infantile hepatic hemangioendotheliomas (IHHEs) are benign vascular tumors, but can be associated with the life-threatening complications, such as congestive heart failure, disseminated intravascular coagulation, and massive bleeding. Various therapeutic options have been developed and the treatment response depends on the patient's clinical status and the nature of the lesion. In the case of a symptomatic IHHE, a non-invasive and precise diagnosis should be performed promptly before the therapeutic method is chosen. Additionally, it should be kept in mind that the residual lesions have malignant potential. We report a case of a congenital giant IHHE that was successfully reduced in size by interferon-$\alpha$ and completely removed by surgical tumor resection with a hepatic lobectomy.

• The Korean Journal of Mycology
• /
• v.26 no.4 s.87
• /
• pp.525-530
• /
• 1998

Antifungal activities of cinnamaldehyde derivatives against various fungi were investigated using paper disc diffusion method. Among the derivatives tested, ${\alpha}-chlorocinnamaldehyde$ was stronger than cinnamaldehyde in antifungal activity and was effective in inhibiting the growth of the representative fungi of dermatomycosis with minimum inhibitory concentration of $9.76{\sim}19.5\;{\mu}g/ml$. A comparison of antifungal activity of cinnamaldehyde derivatives revealed that antifungal action of cinnamaldehyde might be related to a basic structure of acrolein.

• Journal of the Korean Magnetics Society
• /
• v.9 no.1
• /
• pp.35-40
• /
• 1999

Sr substituted materials for some barium in M-type barium ferrite powder and Co-Ti substituted Sr-Ba hexagonal ferrite powder were prepared by citrate sol-gel method and 2 MOE sol-gel method these hexaferrite particles were reduced for 1hr in the hydrogen gas. The reduction temperatures were varied in the range of 250 $^{\circ}C$ to 500 $^{\circ}C$. X-ray diffraction patterns were measured using diffractometer with Cu $K_{\Alhpa}$ radiation. Mossbauer absorption spectra were measured with a constant acceleration spectrometer. We have focused on studying the origin of increasing $M_s$ by M$\"{o}$ssbauer spectroscopy. Ferrite particles which were sintered at 105$0^{\circ}C$ were found to be typical magnetoplumbite structure and single phase. XRD patterns with varying the reduction temperatures in $Sr_{0.5}Ba_{0.5}Fe_{10}O_{19}$ indicates ferrites particles become composite hexaferrites containing $\alpha$-Fe at T_{red}=350 \;$^{\circ}C$$. On the otherhand, it was found that $Co^{2+}$ ions and $Ti^{4+}$ ions in $Sr_{0.7}Ba_{0.3}Fe_{10}CoTiO_{19}$ prevent from changing $Fe^{3+}$ ions to $\alpha$-Fe during the $H_2$ reduction. Comparing Mossbauer results with XRD results, we have determined most of $\alpha$-Fe are reduced from $4f_{vi}$ sites and 12k sites of $Fe^{3+}$ ions. These $\alpha$-Fe phase bring the induced anisotropy and increase saturation magnetization $M_s$.TEX>.

• Clinical and Experimental Pediatrics
• /
• v.48 no.1
• /
• pp.48-54
• /
• 2005

Purpose : The pathologic mechanisms of central nervous system(CNS) injuries in human meningitis are not yet completely understood. Recent studies indicate that the host inflammatory responses are as important in brain damage as the infecting organisms and toxins. There have been some reports on the relationship of nitric oxide(NO), macrophage inflammatory protein-$1{\alpha}$(MIP-$1{\alpha}$), and lactoferrin in bacterial meningitis, but few reports in aseptic meningitis. Thus, we investigated the concentrations of NO, MIP-$1{\alpha}$ and lactoferrin in cerebrospinal fluid(CSF) and serum of patients with aseptic meningitis and control subjects and evaluated their relationship with other parameters of meningitis. Methods : CSF and blood were obtained from 25 subjects with aseptic meningitis and 15 control subjects. After centrifugation, supernatants were stored at $-70^{\circ}C$ and we assayed the concentrations of NO, MIP-$1{\alpha}$ and lactoferrin with the ELISA method. There were no patients with neurologic sequelae after being recovered from aseptic meningitis. Results : Concentrations of CSF and serum NO, MIP-$1{\alpha}$ were not increased in aseptic meningitis subjects compared to control subjects. Concentration of CSF lactoferrin was significantly elevated in patients with aseptic meningitis and concentration of serum lactoferrin was significantly decreased in patients with aseptic meningitis compared with those in control subjects(P<0.05). CSF lactoferrin level was positively correlated with CSF WBC counts($r_s=0.449$, P=0.007), especially with neutrophil counts($r_s=0.574$, P<0.001) and CSF protein level($r_s=0.508$, P=0.002). Conclusion : Lactoferrin plays an important role in aseptic meningitis and may be released from neutrophils recruited from blood to the CSF through breakdown of blood-brain barrier. NO and MIP-$1{\alpha}$ may not be important factors in the pathogenesis of aseptic meningitis without neurologic sequelae.

• Korean Journal of Fisheries and Aquatic Sciences
• /
• v.10 no.2
• /
• pp.137-143
• /
• 1977

A study has been made to find out a new method of calculating the survival rate of a fish population from length composition and growth equation. 1. In the steady state of the fish population, let the total mortality rate be z, the age of complete recruitment $\alpha$, and the number of $\chi$ year class $N_\chi$. Then ire obtain $$N\chi=N\alpha\;\exp\;{-z(\chi-\alpha)}$$ Let the oldest age in the catch be h, the average age between the age of complete recruitment and the oldest age in the catch $U\chi$. Then we have $$U\chi=\frac{a-b\;\exp\;(-z(b-a))}{1-\exp\;(-z(b-a))}+\frac{1}{z}....(1)$$ and then let be infinite. Then we obtain $$Z=\frac{1}{U\chi-\alpha....(2)$$ 2. Calculating numerical value of $U\chi$ from age composition table and growth equation and substitute in (1) or (2) for it, we may obtain the value of s and $\varrho^{-z}$. 3. This method is applied t a case of yellow croaker in the Yellow Sea and the East China Sea. The results are as follows: Total mortality rate 0.82595 Survival rate 0.43782 95 percent confidence interval 0.43767-0.43797.

• Membrane Journal
• /
• v.25 no.1
• /
• pp.15-26
• /
• 2015

In this study, porous metal (O.D. = 10 mm, length = 10 mm, 316 L SUS, Mott Corp.) and ${\alpha}$-alumina tube (O.D. = 10 mm, length = 50 mm, Pall, German) support was modified with suspension sols, which were consisted of $3{\sim}4{\mu}m$ and 150 nm size of ${\alpha}$-alumina particle in the water or silica-zirconia colloidal sol. The porous support was fabricated by dip coating method for 5 seconds with suspension of alumina particles. After drying at $100^{\circ}C$ for 1 h, it was calcined at $550^{\circ}C$ for 30 min. It was repeated several times in order to decrease big pore on support. The surface roughness and largest pore size on the porous support was decreased by increasing coating times with $3{\sim}4{\mu}m$ size of ${\alpha}$-alumina particle and alumina coating with 150 nm size of ${\alpha}$-alumina particle served as further smoothening the surface and decreasing the pore size of the substrate. And the silica-zirconia membranes were successfully prepared on the modified porous metal and ${\alpha}$-alumina supports, and showed hydrogen permeance in the range of $1.8-8.4{\times}10^{-4}mol{\cdot}m^{-2}{\cdot}s^{-1}{\cdot}Pa^{-1}$ and $3.3-5.0{\times}10^{-5}mol{\cdot}m^{-2}{\cdot}s^{-1}{\cdot}Pa^{-1}$, respectively.