• Title/Summary/Keyword: In(2L)t

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SOME RESULTS RELATING TO SUM AND PRODUCT THEOREMS OF RELATIVE (p, q, t) L-TH ORDER AND RELATIVE (p, q, t) L-TH TYPE OF ENTIRE FUNCTIONS

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • v.26 no.2
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    • pp.215-269
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    • 2018
  • Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of relative (p, q, t) L-th order, relative (p, q, t) L-th type, and relative (p, q, t) L-th weak type of entire functions with respect to another entire function where $p,q{\in}{\mathbb{N}}$ and $t{\in}{\mathbb{N}}{\cup}\{-1,0\}$.

Availability of Cardiac Troponin T as a Marker for Detecting Perioperative Myocardial Damage in Patients with Open Heart Surgery (개심술후 발생한 심근손상에서 진단 표지자로서의 Troponin T의 임상적 유용성)

  • 김태이;정태은;이동협;이정철;한승세
    • Journal of Chest Surgery
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    • v.31 no.1
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    • pp.20-27
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    • 1998
  • It is well known that troponin T(below TnT) is present in the myocardial cells and released during myocardial damage, so it`s very specific enzyme to myocardium. Availability of cardiac specific TnT in assessing perioperatively myocardial damage was evaluated from 34 open heart surgery patients. They consisted of 11 ischemic heart, 13 acquired valvular heart and 10 congenital heart cases. Patients were divided into two groups, group A(patients with myocardial damage) and group B(patients without myocardial damage), according to the symptom of chest pain suspecting angina and the ECG findings of ST segment and T wave changes which show myocardial ischemia and injury. Serum TnT levels were measured by enzyme immunoassay method preoperatively, immediately postoperatively, postoperative day 1, day 2, day 3, and day 7. We observed and analyzed the changes of serum TnT levels in two groups and compared the serum TnT levels with CK-MB levels measured at the same time. In group A, serum TnT levels showed 1.37$\pm$0.26$\mu$g/L, 3.16$\pm$0.66$\mu$g/L, 2.39$\pm$0.74$\mu$g/L, 2.49$\pm$0.76$\mu$g/L, and 1.23$\pm$0.60$\mu$g/L, immediate postoperatively, postoperatively day1, day2, day3, and day7, respectively. It was observed there were significant differences compared with those of group B(0.38$\pm$0.04$\mu$g/L, 0.34$\pm$0.05$\mu$g/L, 0.25$\pm$0.03$\mu$g/L, 0.24$\pm$0.04$\mu$g/L, and 0.11$\pm$0.03$\mu$g/L) during identical periods(P<0.01). Serum CK-MB level in group A significantly elevated to 145.04$\pm$35.08 IU/L on the postoperative day 1 compared to group B(31.28$\pm$5.87 IU/L, P<0.05), However, it stiffly decreased from day 2 and returned to preoperative level at day 3. When serum TnT level more than 1.0$\mu$g/L is thought to reflect myocardial damage, serum TnT had 100% of sensitivity and 87% of specificity in diagnosing the postoperative myocardial damage(p<0.01). I conclusion, serum TnT levels increased significantly at very early stage of myocardial damage and persisted much longer period than CK-MB. This suggests that serum TnT has more advantage and availability in assessing the perioperatively myocardial damage than any other tests.

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Antioxidant and Anti-Adipogenic Activities of Bread Containing Corn Silk, Job's Tears, Lentinus edodes, and Apple Peel in 3T3-L1 Preadipocytes (옥수수수염, 율무, 표고버섯 그리고 사과껍질을 함유한 빵의 항산화 및 3T3-L1 지방 전구세포 분화 억제 활성)

  • Lee, Chang Won;Park, Yong Il;Kim, Soo-Hyun;Lim, Heekyung;Chung, Mi Ja
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.45 no.5
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    • pp.651-663
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    • 2016
  • Corn silk, Job's tears, Lentinus edodes, and apple peel 70% ethanol extracts (CS, JT, LE, and AP) were studied for their antioxidant activities. CS among all extracts showed the highest antioxidant activities based on total polyphenol and flavonoid contents, 2,2-diphenyl-${\beta}$-picrylhydrazyl and 2,2'-azino-bis(3-ethylbenzothiazoline-6-sulfonate) radical scavenging activity, and reducing power. Adipocyte differentiation was investigated by Oil Red O staining assay using CS, JT, LE, AP, and extract of developed bread containing corn silk, Job's tears, Lentinus edodes, and apple peel (DB) treated to 3T3-L1 adipocytes. DB1 and DB2 showed anti-adipogenic and antioxidant effects. Triglyceride (TG) accumulation in 3T3-L1 cells was measured, and among the samples tested (CS, JT, LE, and AP), CS was found to have the highest inhibitory activity against TG accumulation of differentiated 3T3-L1 adipocytes and regulated factors associated with adipogenesis. CS suppressed lipid droplet formation and adipocyte differentiation in 3T3-L1 cells in a dose-dependent manner. We examined the effects of CS on the levels of CCAAT-enhancer-binding protein ${\beta}(C/EBP{\beta})$, peroxisome proliferator activated receptor ${\gamma}(PPAR{\gamma})$, and adipocyte-specific lipid binding protein (aP2) mRNA as well as protein levels in 3T3-L1 cells treated with CS at various concentrations (0, 10, 50, and $100{\mu}g/mL$) during adipocyte differentiation and treatment with CS in 3T3-L1 adipocytes down-regulated expression of $PPAR{\gamma}$ and aP2 mRNA. CS also significantly inhibited up-regulation of $C/EBP{\beta}$, $PPAR{\gamma}$, and aP2 proteins during adipocyte differentiation. These data indicate that DBs have anti-adipogenic activity induced by CS in 3T3-L1 preadipocytes, and CS exerts anti-adipogenic activity by inhibiting expression of $C/EBP{\beta}$, $PPAR{\gamma}$, and aP2 signaling pathway in 3T3-L1 adipocytes. JT, LE, and AP had no inhibitory effects on differentiation of 3T3-L1 preadipocytes but displayed strong antioxidant effects. These results suggest that the developed bread may be a health beneficial food that can prevent or treat obesity and diseases induced by oxidative stress.

ESTIMATES FOR RIESZ TRANSFORMS ASSOCIATED WITH SCHRÖDINGER TYPE OPERATORS

  • Wang, Yueshan
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.5
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    • pp.1117-1127
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    • 2019
  • Let ${\mathcal{L}}_2=(-{\Delta})^2+V^2$ be the $Schr{\ddot{o}}dinger$ type operator, where nonnegative potential V belongs to the reverse $H{\ddot{o}}lder$ class $RH_s$, s > n/2. In this paper, we consider the operator $T_{{\alpha},{\beta}}=V^{2{\alpha}}{\mathcal{L}}^{-{\beta}}_2$ and its conjugate $T^*_{{\alpha},{\beta}}$, where $0<{\alpha}{\leq}{\beta}{\leq}1$. We establish the $(L^p,\;L^q)$-boundedness of operator $T_{{\alpha},{\beta}}$ and $T^*_{{\alpha},{\beta}}$, respectively, we also show that $T_{{\alpha},{\beta}}$ is bounded from Hardy type space $H^1_{L_2}({\mathbb{R}}^n)$ into $L^{p_2}({\mathbb{R}}^n)$ and $T^*_{{\alpha},{\beta}}$ is bounded from $L^{p_1}({\mathbb{R}}^n)$ into BMO type space $BMO_{{\mathcal{L}}1}({\mathbb{R}}^n)$, where $p_1={\frac{n}{4({\beta}-{\alpha})}}$, $p_2={\frac{n}{n-4({\beta}-{\alpha})}}$.

Analysis of Water Quality Pollutants Proximated to sediment in Lake (호소내 퇴적물의 근접도에 따른 수질오염물질 분석(I) - COD, T-N, T-P, pH -)

  • Park, Sun-Ku;Yang, Young-Mo
    • Analytical Science and Technology
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    • v.14 no.3
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    • pp.238-243
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    • 2001
  • The study was carried out to analysis of the pollutant $COD_{Mn}$, T-N, T-P for water quality proximated to sediment in lake of K river basin. water extracted from sediment showed higher $COD_{Mn}$, T-N, T-P datas than water proximated to sediment. Also, water proximated to sediment and water 5-10cm proximated to sediment showed the following data : $COD_{Mn}$, 1.2~1.9mg/L, T-N, 1.3~6.2mg/L, TP, 0.05~0.26mg/L, respectively. From this results, we have known the fact that the pollution degree of sediment have an effect on the water quality in lake and stream.

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ON SOLVABILITY OF A CLASS OF DEGENERATE KIRCHHOFF EQUATIONS WITH LOGARITHMIC NONLINEARITY

  • Ugur Sert
    • Journal of the Korean Mathematical Society
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    • v.60 no.3
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    • pp.565-586
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    • 2023
  • We study the Dirichlet problem for the degenerate nonlocal parabolic equation ut - a(||∇u||2L2(Ω))∆u = Cb ||u||βL2(Ω) |u|q(x,t)-2 u log |u| + f in QT, where QT := Ω × (0, T), T > 0, Ω ⊂ ℝN, N ≥ 2, is a bounded domain with a sufficiently smooth boundary, q(x, t) is a measurable function in QT with values in an interval [q-, q+] ⊂ (1, ∞) and the diffusion coefficient a(·) is a continuous function defined on ℝ+. It is assumed that a(s) → 0 or a(s) → ∞ as s → 0+, therefore the equation degenerates or becomes singular as ||∇u(t)||2 → 0. For both cases, we show that under appropriate conditions on a, β, q, f the problem has a global in time strong solution which possesses the following global regularity property: ∆u ∈ L2(QT) and a(||∇u||2L2(Ω))∆u ∈ L2(QT ).

Localization of Sensory Neurons Innervating the Rat Intestine Using the Cholera Toxin B Subunit(CTB) and Wheat Germ Agglutinin-Horseradish Peroxidase(WGA-HRP) (표지방식을 이용한 흰 쥐 복강 내장을 지배하는 감각신경세포체와 신경섬유의 표지부위)

  • Lee, Dong-Hyup;Lee, Chang-Hyun;Lee, Moo-Sam
    • Journal of Yeungnam Medical Science
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    • v.15 no.1
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    • pp.75-96
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    • 1998
  • The local arrangement of sensory nerve cell bodies and nerve fibers in the brain stem, spinal ganglia and nodose ganglia were observed following injection of cholera toxin B subunit(CTB) and wheat germ agglutinin-horseradish peroxidase(WGA-HRP) into the rat intestine. The tracers were injected in the stomach(anterior and posterior portion), duodenum, jejunum, ileum, cecum, ascending colon or descending colon. After survival times of 48-96 hours, the rats were perfused and their brain, spinal and nodose ganglia were frozen sectioned ($40{\mu}m$). These sectiones were stained by CTB immunohistochemical and HRP histochemical staining methods and observed by dark and light microscopy. The results were as follows: 1. WGA-HRP labeled afferent terminal fields in the brain stem were seen in the stomach and cecum, and CTB labeled afferent terminal fields in the brain stem were seen in all parts of the intestine. 2. Afferent terminal fields innervating the intestine were heavily labeled bilaterally gelalinous part of nucleus of tractus solitarius(gelNTS), dorsomedial part of gelNTS, commissural part of NTS(comNTS), medial part of NTS(medNTS), wall of the fourth ventricle, ventral border of area postrema and comNTS in midline dorsal to the central canal. 3. WGA-HRP labeled sensory neurons were observed bilaterally within the spinal ganglia, and labeled sensory neurons innervating the stomach were observed in spinal ganglia $T_2-L_1$ and the most numerous in spinal ganglia $T_{8-9}$. 4. Labeled sensory neurons innervating the duodenum were observed in spinal ganglia $T_6-L_2$ and labeled cell number were fewer than the other parts of the intestines. 5. Labeled sensory neurons innervating the jejunum were observed in spinal ganglia $T_6-L_2$ and the most numerous area in the spinal ganglia were $T_{12}$ in left and $T_{13}$ in right. 6. Labeled sensory neurons innervating the ileum were observed in spinal ganglia $T_6-L_2$ and the most numerous area in the spinal ganglia were $T_{11}$ in left and $L_1$ in right. 7. Labeled sensory neurons innervating the cecum were observed in spinal ganglia $T_7-L_2$ and the most numerous area in the spinal ganglia were $T_{11}$ in left and $T_{11-12}$ in right. 8. Labeled sensory neurons innervating the ascending colon were observed in spinal ganglia $T_7-L_2$ in left, and $T_9-L_4$ in right. The most numerous area in the spinal ganglia were $T_9$ in left and $T_{11}$ in right. 9. Labeled sensory neurons innervating the descending colon were observed in spinal ganglia $T_9-L_2$ in left, and $T_6-L_2$ in right. The most numerous area in the spinal ganglia were $T_{13}$ in left and $L_1$ in right. 10. WGA-HRP labeled sensory neurons were observed bilaterally within the nodose ganglia, and the most numerous labeled sensory neurons innervating the abdominal organs were observed in the stomach. 11. The number of labeled sensory neurons within the nodose ganglia innervating small and large intestines were fewer than that of labeled sensory neurons innervating stomach These results indicated that area of sensory neurons innervated all parts of intestines were bilaterally gelatinous part of nucleus tractus solitarius(gelNTS), dorsomedial part of gelNTS, commissural part of NTS (comNTS), medial part of NTS, wall of the fourth ventricle, ventral border of area postrema and com NTS in midline dorsal to the central canal within brain stem, spinal ganglia $T_2-L_4$ and nodose ganglia. Labeled sensory neurons innervating the intestines except the stomach were observed in spinal ganglia $T_6-L_4$. The most labeled sensory neurons from the small intestine to large intestine came from middle thoracic spinal ganglia to upper lumbar spinal ganglia.

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Age-related Changes in Luteinizing Hormone and Testosterone Levels in Korean Men (한국 남성의 혈중 Luteinizing Hormone과 Testosterone 수준의 연령-관련 변화)

  • Lee, Sung-Ho;Ahn, Ryun-Sup;Kwon, Hyuk-Bang
    • Development and Reproduction
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    • v.12 no.1
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    • pp.57-66
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    • 2008
  • Changes in luteinizing hormone (LH), serum testosterone (T), and salivary T levels with age were examined in Korean men. Serum was obtained from 167 Korean men of different ages ($20{\sim}69\;y$), and the serum LH and T levels were measured. Saliva samples were also obtained, and the salivary T level was determined. The LH levels did not change considerably until 40 y of age (20s, $2.5{\pm}1.0$; 30s, $2.7{\pm}1.5$; and 40s, $2.5{\pm}1.8\;mIU/mL$) but increased significantly around 50 y (50s, $3.7{\pm}1.8$ and 60s, $3.1{\pm}1.7\;mIU/mL$). Further, the serum T levels also did not change until 40 y of age (20s, $5.3{\pm}2.6$, 30s, $4.4{\pm}1.4$, 40s, $4.1{\pm}1.5\;ng/mL$) but decreased significantly at 50 y (50s, $3.4{\pm}1.5$; 60s, $2.6{\pm}0.8\;ng/mL$). The salivary T levels also showed small changes until the age of 40 y ($20s{\sim}40s$, $0.11{\pm}0.015\;ng/mL$) but decreased significantly at 50 y ($0.08{\pm}0.03\;ng/mL$). Thus, the relative ratio of salivary T to serum T levels did not change significantly in all the ages examined ($2.4{\pm}0.9%$). Linear regression analysis predicted that the LH levels increased 1.5%/y while the serum and salivary T levels decreased 1%/y and 0.8%/y, respectively. The serum T/LH ratio did not change considerably until the age of 40 y ($20s{\sim}40s$, $2.27{\pm}0.14$) but decreased significantly ($1.2{\pm}1.0$) at 50 y. Age-related changes in the salivary T/LH ratio were very similar to those in the serum T/LH ratio. These results demonstrated that LH and T levels in serum or saliva did not change considerably until 40 y of age; instead, in Korean men, from 50 y of age, the LH level increased, while the T level decreased. This suggests that primary testicular failure that occurred due to aging (approximately 50 y) and caused this phenomenon. The present study also shows that the salivary T level can be an indicator of the free T level in serum although the salivary T level correlates weakly with the total T level in serum (r=0.53). Thus, information regarding salivary T levels may be useful for studying the age-related changes occurring in male testicular physiology.

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Estimation on Chemical Water Quality Suitability Index for 4 Species of the Mayfly Genus Ephemera (Ephemeroptera: Ephemeridae) Using Probability Distribution Models (확률분포모형을 이용한 하루살이속(Ephemera) 4종에 대한 화학적 수질 적합도지수 평가)

  • Bongjun Jung;Dongsoo Kong
    • Journal of Korean Society on Water Environment
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    • v.39 no.6
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    • pp.475-490
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    • 2023
  • Chemical water quality suitability for species (Ephemera strigata, Ephemera separigata, and Ephemera orientalis-sachalinensis group) of the mayfly genus Ephemera (Order Ephemeroptera) was analyzed with probability distribution models (Exponential, Normal, Lognormal, Logistic, Weibull, Gamma, Beta, Gumbel). Data was collected from 23,957 sampling units of 6,664 sites in Korea from 2010 to 2021. E. orientalis-sachalinensis occurred at the range of BOD5 0.3~11.1 mg/L (the best-fit Lognormal model); T-P 0.007~0.769 mg/L (the Gumbel model); TSS 0.4~142.2 mg/L (the Lognormal model). E. strigata occurred at the range of BOD5 0.4~7.4 mg/L (the Gumbel model); T-P 0.007~0.254 mg/L (the Lognormal model); TSS 0.4~17.1 mg/L (the Lognormal model). E. separigata occurred at the range of BOD5 0.4~2.6 mg/L (the R-Weibull model); T-P 0.007~0.134 mg/L (the Lognormal model); TSS 0.7~10.0 mg/L (the Lognormal model). Habitat suitability range of E. orientalis-sachalinensis was estimated to be 0.4~1.9 mg/L (BOD5), 0.024~0.086 mg/L (T-P), 2.5~22.4 mg/L (TSS); that of E. strigata was 0.4~0.7 mg/L (BOD5), 0.007~0.018 mg/L (T-P), 0.0~1.7 mg/L (TSS); that of E. separigata was 0.0~0.4 mg/L (BOD5), 0.000~0.015 mg/L (T-P), 0.5~3.1 mg/L (TSS). In a relative comparision, E. orientalis-sachalinensis was estimated to be eurysaprobic, and narrowly adapted in high levels of T-P and TSS, E. strigata was estimated to be oligosaprobic and adapted in low levels of T-P and TSS, and E. separigata was estimated to be stenooligosaprobic and widely adapted in low level of T-P and TSS.

Estimation of Water Quality and Trophic State in the Hapcheon Lake (합천호 수질 및 영양단계에 대한 평가)

  • Choi, Hyoung-Sub;Cho, In-Cheol;Byun, Jong-Hwan;Moon, Byung-Hyun;Heo, Jong-Soo
    • Korean Journal of Environmental Agriculture
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    • v.22 no.1
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    • pp.1-6
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    • 2003
  • The yearly average water qualities of the Whang river, which flows into the Hapcheon lake, were COD $3.1{\sim}4.2\;mg/L$, T-N $2.460{\sim}3.550\;mg/L$ and T-P $0.111{\sim}0.201\;mg/L$ during $1996{\sim}2001$. The yearly average COD concentration of Hapcheon lake was increased from 1.9 mg/L (in 1996) to 2.7 mg/L (in 2000). However, T-N and T-P concentration of Hapcheon lake did not show increasing trend over the 6 year period During $1996{\sim}2001$, the yearly average concentrations of T-N, T-P were $1.383{\sim}1.792\;mg/L$, $0.018{\sim}0.023\;mg/L$ respectively. The correlation coefficients between chlorophyll ${\alpha}$ and T-N, T-P, rainfall intensity, water temperature were 0.382, 0.372, 0.589, and 0.526, respectively. Therefore, the rainfall and water temperature appeared to play an important role far the variations of chlolophyll ${\alpha}$ concentration in the Hapcheon lake. Trophic state of the Hapcheon lake were evaluated to be in the range of mesotrophic to eutrophic.