• Title/Summary/Keyword: V1R/V2R

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EXISTENCE OF WEAK SOLUTIONS TO A CLASS OF SCHRÖDINGER TYPE EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN IN ℝN

  • Kim, Jae-Myoung;Kim, Yun-Ho;Lee, Jongrak
    • Journal of the Korean Mathematical Society
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    • v.56 no.6
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    • pp.1529-1560
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    • 2019
  • We are concerned with the following elliptic equations: $$(-{\Delta})^s_pu+V (x){\mid}u{\mid}^{p-2}u={\lambda}g(x,u){\text{ in }}{\mathbb{R}}^N$$, where $(-{\Delta})_p^s$ is the fractional p-Laplacian operator with 0 < s < 1 < p < $+{\infty}$, sp < N, the potential function $V:{\mathbb{R}}^N{\rightarrow}(0,{\infty})$ is a continuous potential function, and $g:{\mathbb{R}}^N{\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ satisfies a $Carath{\acute{e}}odory$ condition. We show the existence of at least one weak solution for the problem above without the Ambrosetti and Rabinowitz condition. Moreover, we give a positive interval of the parameter ${\lambda}$ for which the problem admits at least one nontrivial weak solution when the nonlinearity g has the subcritical growth condition.

The Measurement of Sensitivity and Comparative Analysis of Simplified Quantitation Methods to Measure Dopamine Transporters Using [I-123]IPT Pharmacokinetic Computer Simulations ([I-123]IPT 약역학 컴퓨터시뮬레이션을 이용한 민감도 측정 및 간편화된 운반체 정량분석 방법들의 비교분석 연구)

  • Son, Hye-Kyung;Nha, Sang-Kyun;Lee, Hee-Kyung;Kim, Hee-Joung
    • The Korean Journal of Nuclear Medicine
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    • v.31 no.1
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    • pp.19-29
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    • 1997
  • Recently, [I-123]IPT SPECT has been used for early diagnosis of Parkinson's patients(PP) by imaging dopamine transporters. The dynamic time activity curves in basal ganglia(BG) and occipital cortex(OCC) without blood samples were obtained for 2 hours. These data were then used to measure dopamine transporters by operationally defined ratio methods of (BG-OCC)/OCC at 2 hrs, binding potential $R_v=k_3/k_4$ using graphic method or $R_A$= (ABBG-ABOCC)/ABOCC for 2 hrs, where ABBG represents accumulated binding activity in basal ganglia(${\int}^{120min}_0$ BG(t)dt) and ABOCC represents accumulated binding activity in occipital cortex(${\int}^{120min}_0$ OCC(t)dt). The purpose of this study was to examine the IPT pharmacokinetics and investigate the usefulness of simplified methods of (BG-OCC)/OCC, $R_A$, and $R_v$ which are often assumed that these values reflect the true values of $k_3/k_4$. The rate constants $K_1,\;k_2\;k_3$ and $k_4$ to be used for simulations were derived using [I-123]IPT SPECT and aterialized blood data with a standard three compartmental model. The sensitivities and time activity curves in BG and OCC were computed by changing $K_l$ and $k_3$(only BG) for every 5min over 2 hours. The values (BG-OCC)/OCC, $R_A$, and $R_v$ were then computed from the time activity curves and the linear regression analysis was used to measure the accuracies of these methods. The late constants $K_l,\;k_2\;k_3\;k_4$ at BG and OCC were $1.26{\pm}5.41%,\;0.044{\pm}19.58%,\;0.031{\pm}24.36%,\;0.008{\pm}22.78%$ and $1.36{\pm}4.76%,\;0.170{\pm}6.89%,\;0.007{\pm}23.89%,\;0.007{\pm}45.09%$, respectively. The Sensitivities for ((${\Delta}S/S$)/(${\Delta}k_3/k_3$)) and ((${\Delta}S/S$)/(${\Delta}K_l/K_l$)) at 30min and 120min were measured as (0.19, 0.50) and (0.61, 0,23), respectively. The correlation coefficients and slopes of ((BG-OCC)/OCC, $R_A$, and $R_v$) with $k_3/k_4$ were (0.98, 1.00, 0.99) and (1.76, 0.47, 1.25), respectively. These simulation results indicate that a late [I-123]IPT SPECT image may represent the distribution of the dopamine transporters. Good correlations were shown between (3G-OCC)/OCC, $R_A$ or $R_v$ and true $k_3/k_4$, although the slopes between them were not unity. Pharmacokinetic computer simulations may be a very useful technique in studying dopamine transporter systems.

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Bacteriological Characteristics of Unidentified Vibrio sp., Hemolysin Producer Isolated from Brackish Water -2. Bacteriological Characteristics of Vibrio sp. E10 Similar to Vibrio mimicus- (기수에서 분리된 용혈독소를 생산하는 미분류 Vibrio sp.의 세균학적 특징 -2. Vibrio mimicus와 유사한 Vibrio sp. E10의 세균학적 특성-)

  • Kim Young Man;Yu Hong Sik;Oh Hee Kyung
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.35 no.6
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    • pp.545-550
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    • 2002
  • A hemolysin producing bacterial strain which belong to Vibrio species was isolated from the Kum River estuary. In the process of identification, the strain did not show characteristics of known Vibrio species; thus, the strain was designated as Vibrio sp, E10 (V. kunsan) tentatively and further identification study was carried out by comparing its bacteriological characteristics. Morphologically Vibrio sp, E10 was comma shaped rod with a polar flagellium. Clear hemolysis zones were observed with the strain against human and sheep blood agar. Hemollytic toxicity was confirmed by strong vascular Permeability and fatal toxicity against mouse was also observed. Therefore the strain was a pathogenic vibrio. Growth conditions for Vibrio sp. E10 were ranged salinity of 0$\~$$4.5\%$, pH of 6.2$\~$9.2, temperature of 14$\~$42$^{\circ}C$, respectively, 16S rDNA partial sequence of Vibrio sp, E10 showed $99\%$ homology with dozens of V. cholerae species including V, cholerae El Tor N16961 and V, snmisnfus ATCC 33653T. This strain belonged to Proteobacteria; gamma subdivision; Vibrionacea: Vibrio. But, among knorn Vibrio species no identical styains were found when using automatic bacteria identification system ($MicroLog^{TM}$system, release 4.0, Biolog Inc., USA) which evaluated the ability of metabolizing 95 kinds of carbon and nitrogen sources. Vibrio sp, E10 showed 18 and 11 different responses as compared to V. mimicus and V, cholerae, respectively.

Spect-guidance to Reduce Radioactive Dose to Functioning Lung for Stage III Non-small Cell Lung Cancer

  • Wang, Zhong-Tang;Wei, Li-Li;Ding, Xiu-Ping;Sun, Ming-Ping;Sun, Hong-Fu;Li, Bao-Sheng
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.2
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    • pp.1061-1065
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    • 2013
  • Objective: To investigate the treatment effect of additional information obtained by single photon emission computed tomography (SPECT) lung perfusion imaging (LPI) in the radiotherapy planning process for patients with stage III non-small cell lung cancer (NSCLC). Methods: 39 patients with stage III NSCLC were enrolled. Gross tumor volume (GTV) was outlined by SPECT/CT images, SPECT-LPIs being used to define functional lung (FL) and non-functional lung (NFL) regions. Two sets of IMRT plans were designed to deliver 64Gy to PTV. One was a regular IMRT plan using CT images only (Plan 1), and the other was a corresponding IMRT plan using co-registered images (Plan 2). $FL_{Vx}$ (the % volume of functional lung receiving ${\geq}$x Gy) and $WL_{Vx}$ (% volume of whole lung to receive ${\geq}$x Gy) were compared by paired Student's t test. Kendalls correlation was used to analyze the factor (s) related with the FLV20 decrease. Results: Compared with plan 1, both $WL_{Vx}$ and $FL_{Vx}$ were decreased in plan 2. $WL_{V10}$, $WL_{V15}$, $WL_{V20}$, $WL_{V25}$, $WL_{V30}$ and $WL_{V35}$ decreased 9.7%, 13.8%, 17.2%, 12.9%, 9.8% and 9.8%, and $FL_{V10}$, $FL_{V15}$, $FL_{V20}$, $FL_{V25}$, $FL_{V30}$ and $FL_{V35}$ decreased 10.8%, 14.6%, 17.3%, 14.5%, 14.5% and 10.5%. $FL_{Vx}$ decreased significantly compared with $WL_{Vx}$. There were significant differences in $WL_{V10}$, $WL_{V15}$, $WL_{V20}$, $WL_{V25}$, $WL_{V3}$ and $FL_{V10}$, $FL_{V15}$, $FL_{V20}$, $FL_{V25}$, $FL_{V30}$ between plan 1 and plan 2 (P=0.002, 0.000, 0.000, 0.005, 0.027 and 0.002, 0.000, 0.000, 0.006, 0.010). According to Kendall correlation analysis, NFL had a negative relation with the percentage FLV20 decrease (r=-0.559, P<0.01), while the distance of PTV and NFL center had a significantly positive relation with the percentage of FLV20 decrease (r=0.768, P<0.01). Conclusion: Routine use of SPECT-LPI for patients undergoing radiotherapy planning for stage III NSCLC appears warranted.

Probiotic Properties of Lactic Acid Bacteria isolated from Feces and Kimchi (베트남인 분변 및 김치로부터 분리된 유산균의 프로바이오틱스 기능성 연구)

  • Shin, Hyun Su;Yoo, Sung Ho;Jang, Jin Ah;Won, Ji Young;Kim, Cheol Hyun
    • Journal of Dairy Science and Biotechnology
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    • v.35 no.4
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    • pp.255-261
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    • 2017
  • The purpose of this study was to investigate the probiotic properties and antioxidant capacity of lactic acid bacteria isolated from Vietnamese feces and the Korean traditional food kimchi. Six isolated strains were identified as Lactobacillus sp. by 16S rRNA sequencing. All strains showed good resistance to low pH (1.5, 2.0, and 3.0) and 0.3% oxgall bile acids. Culture filtrates from the six strains showed various antioxidant effects, including DPPH, ABTS, reducing power, and metal chelating ($Fe^{2+}$) activities. Two of the six Lactobacillus strains showed potential probiotic activity. Heat resistance and adhesion assays were conducted by mixing the selected strains, Lactobacillus acidophilus V4, Lactobacillus plantarum V7, and Lactobacillus paracasei DK121 isolated from kimchi. The results showed that the heat resistance of these strains was similar to that of a commercial strain, L. plantarum LP. In addition, a mucin attachment assay using the mixture of selected strains (V4, V7, and DK121) showed high binding activity to the mucous layer. In conclusion, a mixture of V4, V7, and DK121 shows promising probiotic activity and may be useful for the development of health-related products.

A Study on the Performance Improvement in a V8 Type Turbocharged Intercooler D.I. Diesel Engine (V8형 터보차져 인터쿨러 직접분사식 디젤기관의 성능개설에 관한 연구)

  • 석동현;윤준규;차경옥
    • Journal of Energy Engineering
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    • v.13 no.2
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    • pp.118-127
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    • 2004
  • The purpose of this study is experimentally to analyze that intake port swirl, injection system and turbocharger have an effect on the engine performance and the emission characteristics in a V8 type turbocharged intercooler D.I. diesel engine of the displacement 16.7ι, and to suggest the improvement of engine performance. Generally to enhance engine power, TCI diesel engine is put to practically use turbo-charged intercoler in order to increase boost efficiency which is cooled boost air. As results of considering the factors of the intake port of swirl ratio 2.25, compression ratio 17.5, re-entrant 8.5$^{\circ}$ combustion bowl, nozzle hole diameter ${\Phi}$0.33*3+${\Phi}$0.35*2, nozzle protrusion 3.18mm, injection timing BTDC 12$^{\circ}$CA and turbo charger (compressor 0.6A/R+46Trim, turbine 1.0A/R+57Trim) is the best in the full range of operating in the engine performance and the exhaust characteristics of NO$\_$x/ concentration. Therefore their factors are appropriated as intake system, injection and turbocharger system.

HYPERSURFACES IN 𝕊4 THAT ARE OF Lk-2-TYPE

  • Lucas, Pascual;Ramirez-Ospina, Hector-Fabian
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.885-902
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    • 2016
  • In this paper we begin the study of $L_k$-2-type hypersurfaces of a hypersphere ${\mathbb{S}}^{n+1}{\subset}{\mathbb{R}}^{n+2}$ for $k{\geq}1$ Let ${\psi}:M^3{\rightarrow}{\mathbb{S}}^4$ be an orientable $H_k$-hypersurface, which is not an open portion of a hypersphere. Then $M^3$ is of $L_k$-2-type if and only if $M^3$ is a Clifford tori ${\mathbb{S}}^1(r_1){\times}{\mathbb{S}}^2(r_2)$, $r^2_1+r^2_2=1$, for appropriate radii, or a tube $T^r(V^2)$ of appropriate constant radius r around the Veronese embedding of the real projective plane ${\mathbb{R}}P^2({\sqrt{3}})$.

Effect of $N_2$-backflushing Time in Carbon Ceramic UF & MF System for Paper Wastewater Treatment

  • Park, Jin-Yong
    • Korean Membrane Journal
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    • v.7 no.1
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    • pp.34-41
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    • 2005
  • The wastewater discharged from a paper plant was filtrated by 3 kinds of tubular carbon ceramic UF and MF membranes with $N_2$-backflushing. The filtration time (FT) was fixed at 8 min or 16 min, and $N_2$-backflushing time (BT) was changed in 0${\~}$60 sec. The optimal condition was discussed in the viewpoints of total permeate volume ($V_T$), dimensionless permeate flux (J/Jo) and resistance of membrane fouling ($R_f$). In the viewpoints of $V_T$, J/Jo and $R_f$, the optimal $N_2$-BT was 40 sec at both FT for M9 (MWCO: 300,000 Daltons) and C005 ($0.05{\mu}m$) membranes. However, for C010 ($0.1{\mu}m$) it was 10 sec at FT=8 min, and 20 sec at FT=16 min in the viewpoints of J/Jo and $R_f$, and 5 sec at both FT in the viewpoints of $V_T$. It means that the short $N_2$-BT could reduce the membrane fouling and recover the permeate flux sufficiently for MF membrane having a large pore size as C010. Average rejection rates of pollutants were higher than $99.0\%$ for turbidity and $22.8{\~}59.6\%$ for $COD_{cr}$, but rejection rates of total dissolved solid (TDS) were lower than $8.9\%$. Therefore, the low turbidity water purified in our system could be reused for paper process.

Synthesis of (N-docosyl Pyridinium)-TCNQ (1:1) complex and Fabrication of Langmuir-Blodgett Ultra Thin Films ((N-docosyl pyridinium)-TCNQ(1 : 1) 착체의 합성과 Langmur-Blodgett 초박막 제작)

  • Sohn, Byoung-Chung;Jeong, Soon-Wook
    • Journal of the Korean Applied Science and Technology
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    • v.6 no.2
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    • pp.39-44
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    • 1989
  • (N-docosyl pyridinium)-TCNQ(1:1) complex was synthesized by reacting N-docosyl pyridinium bromide and LiTCNQ. This complex was investigated and confirmed by elemental analysis. U.V, I.R spectra. A stability to the dispersion solvent, which is acetonitrile, dichloromethane, benzene, chloroform and acetonitrile-benzene (1:1, V/V) of (N-docosyl pyridinium)-TCNQ(1:1) complex was investigated by U. V spectrophotometer and was confirmed stabilized on acetonitrile, benzene and acetonitrile-benzene(1:1'V/V) for 7 hours. Using ultra pure water as subphase for L-B film deposition, the Y-type L-B film of (N-docosyl pyridinium)-TCNQ(1:1) complex was farbricated. The electrical conductivities on a perpendicular direction of the L-B film were measured to be $5{\times}10^{-5}{\sim}5{\times}10^{-14}$S/cm according to the number of layer.

Effect of Sintering Temperature on Electrical and Dielectric Behavior of Pr6O1-Based ZnO Varistors with DC Accelerated Aging Stress (Pr6O1계 ZnO 바리스터의 DC 가속열화 스트레스에 따른 전기적, 유전적 거동에 미치는 소결온도의 영향)

  • 남춘우;정영철;김향숙
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.15 no.3
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    • pp.244-252
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    • 2002
  • The electrical and dielectric behavior fort DC accelerated aging stress of P $r_{6}$ $O_{11}$-based Zno varistors cnsisting of ZnO-P $r_{6}$ $O_{11}$-CoO-C $r_2$ $O_3$-E $r_2$ $O_3$ were investigated with sintering temperature in the range of 1325~1345$^{\circ}C$. The varistor ceramics with increasing sintering temperature were more densified. A more densified varistors leaded to high stability for DC accelerated aging stress. Furthermore, the stability for DC accelerated aging stress was increased with the leakage current and dtan $\delta$/dV decreasing in order of 1325longrightarrow1335longrightarrow1345longrightarrow134$0^{\circ}C$ in sintering temperature. It was found that the stability for DC stress is affected more greatly by the leakage current and dtan $\delta$/dV than the densification. It is considered that the stability of varistors for DC stress can be estimated by considering the factors, such as the densification, leakage current, and dtan $\delta$/dV. As a result, the varistor sintered at 134$0^{\circ}C$ exhibited the highest stability, with %$\Delta$ $V_{lmA}$=-1.54%, %$\Delta$$\alpha$=-2.49%, %$\Delta$ $I_{\ell}$=+240.68%, 5%$\Delta$tan$\delta$=+29.96%.96%.96%.%.