• Title/Summary/Keyword: gamma type

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SMALL DATA SCATTERING OF HARTREE TYPE FRACTIONAL SCHRÖDINGER EQUATIONS IN DIMENSION 2 AND 3

  • Cho, Yonggeun;Ozawa, Tohru
    • Journal of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.373-390
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    • 2018
  • In this paper we study the small-data scattering of the d dimensional fractional $Schr{\ddot{o}}dinger$ equations with d = 2, 3, $L{\acute{e}}vy$ index 1 < ${\alpha}$ < 2 and Hartree type nonlinearity $F(u)={\mu}({\mid}x{\mid}^{-{\gamma}}{\ast}{\mid}u{\mid}^2)u$ with max(${\alpha}$, ${\frac{2d}{2d-1}}$) < ${\gamma}{\leq}2$, ${\gamma}$ < d. This equation is scaling-critical in ${\dot{H}}^{s_c}$, $s_c={\frac{{\gamma}-{\alpha}}{2}}$. We show that the solution scatters in $H^{s,1}$ for any s > $s_c$, where $H^{s,1}$ is a space of Sobolev type taking in angular regularity with norm defined by ${\parallel}{\varphi}{\parallel}_{H^{s,1}}={\parallel}{\varphi}{\parallel}_{H^s}+{\parallel}{\nabla}_{{\mathbb{S}}{\varphi}}{\parallel}_{H^s}$. For this purpose we use the recently developed Strichartz estimate which is $L^2$-averaged on the unit sphere ${\mathbb{S}}^{d-1}$ and utilize $U^p-V^p$ space argument.

Non-linear modelling to describe lactation curve in Gir crossbred cows

  • Bangar, Yogesh C.;Verma, Med Ram
    • Journal of Animal Science and Technology
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    • v.59 no.2
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    • pp.3.1-3.7
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    • 2017
  • Background: The modelling of lactation curve provides guidelines in formulating farm managerial practices in dairy cows. The aim of the present study was to determine the suitable non-linear model which most accurately fitted to lactation curves of five lactations in 134 Gir crossbred cows reared in Research-CumDevelopment Project (RCDP) on Cattle farm, MPKV (Maharashtra). Four models viz. gamma-type function, quadratic model, mixed log function and Wilmink model were fitted to each lactation separately and then compared on the basis of goodness of fit measures viz. adjusted $R^2$, root mean square error (RMSE), Akaike's Informaion Criteria (AIC) and Bayesian Information Criteria (BIC). Results: In general, highest milk yield was observed in fourth lactation whereas it was lowest in first lactation. Among the models investigated, mixed log function and gamma-type function provided best fit of the lactation curve of first and remaining lactations, respectively. Quadratic model gave least fit to lactation curve in almost all lactations. Peak yield was observed as highest and lowest in fourth and first lactation, respectively. Further, first lactation showed highest persistency but relatively higher time to achieve peak yield than other lactations. Conclusion: Lactation curve modelling using gamma-type function may be helpful to setting the management strategies at farm level, however, modelling must be optimized regularly before implementing them to enhance productivity in Gir crossbred cows.

$PPAR_{\gamma}$ Ligand-binding Activity of Fragrin A Isolated from Mace (the Aril of Myristica fragrans Houtt.)

  • Lee, Jae-Young;Kim, Ba-Reum;Oh, Hyun-In;Shen, Lingai;Kim, Naeung-Bae;Hwang, Jae-Kwan
    • Food Science and Biotechnology
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    • v.17 no.6
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    • pp.1146-1150
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    • 2008
  • Peroxisome proliferator-activated receptor-gamma ($PPAR_{\gamma}$), a member of the nuclear receptor of ligand-activated transcription factors, plays a key role in lipid and glucose metabolism or adipocytes differentiation. A lignan compound was isolated from mace (the aril of Myristica fragrans Houtt.) as a $PPAR_{\gamma}$ ligand, which was identified as fragrin A or 2-(4-allyl-2,6-dimethoxyphenoxy)-1-(4-hydroxy-3-methoxyphenyl)-propane. To ascertain whether fragrin A has $PPAR_{\gamma}$ ligand-binding activity, it was performed that GAL-4/$PPAR_{\gamma}$ transactivation assay. $PPAR_{\gamma}$ ligand-binding activity of fragrin A increased 4.7, 6.6, and 7.3-fold at 3, 5, and $10{\mu}M$, respectively, when compared with a vehicle control. Fragrin A also enhanced adipocytes differentiation and increased the expression of $PPAR_{\gamma}$ target genes such as adipocytes fatty acid-binding protein (aP2), lipoprotein lipase (LPL), and phosphoenol pyruvate carboxykinase (PEPCK). Furthermore, it significantly increased the expression level of glucose transporter 4 (GLUT4). These results indicate that fragrin A can be developed as a $PPAR_{\gamma}$ agonist for the improvement of insulin resistance associated with type 2 diabetes.

A Study on the Germanium Radiation Detector Compensated by Gamma-ray Irradiation

  • Moon, P.S.
    • Nuclear Engineering and Technology
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    • v.7 no.2
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    • pp.85-94
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    • 1975
  • The n-type germanium crystals have been irradiated by $^{60}$ Co gamma-ray with 647 Mrad at room temperature for compensation. The Ge(${\gamma}$) detectors were fabricated from the gamma-ray irradiated germanium single crystals. The detector characteristics of the Ge (${\gamma}$) detectors were comparable to those of thin Ge(Li) detectors and high purity germanium detectors. The thermal stability of the Ge (${\gamma}$) detector showed a feasibility for ambient temperature storage.

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A Copper Shield for the Reduction of X-γ True Coincidence Summing in Gamma-ray Spectrometry

  • Byun, Jong-In
    • Journal of Radiation Protection and Research
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    • v.43 no.4
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    • pp.137-142
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    • 2018
  • Background: Gamma-ray detectors having a thin window of a material with low atomic number can increase the true coincidence summing effects for radionuclides emitting X-rays or gamma-rays. This effect can make efficiency calibration or spectrum analysis more complicated. In this study, a Cu shield was tested as an X-ray filter to neglect the true coincidence summing effect by X-rays and gamma-rays in gamma-ray spectrometry, in order to simplify gamma-ray energy spectrum analysis. Materials and Methods: A Cu shield was designed and applied to an n-type high-purity germanium detector having an $X-{\gamma}$ summing effect during efficiency calibration. This was tested using a commercial, certified mixed gamma-ray source. The feasibility of a Cu shield was evaluated by comparing efficiency calibration results with and without the shield. Results and Discussion: In this study, the thickness of a Cu shield needed to avoid true coincidence summing effects due to $X-{\gamma}$ was tested and determined to be 1 mm, considering the detection efficiency desired for higher energy. As a result, the accuracy of the detection efficiency calibration was improved by more than 13% by reducing $X-{\gamma}$ summing. Conclusion: The $X-{\gamma}$ summing effect should be considered, along with ${\gamma}-{\gamma}$ summing, when a detection efficiency calibration is implemented and appropriate shielding material can be useful for simplifying analysis of the gamma-ray energy spectra.

Long-Term Extrinsic Uniformity Analysis of Gamma Cameras (감마카메라의 중장기 외인성 균일도 분석)

  • Yoon-Jae Kim;Woo-Young Jung;Dong-Hoon Lee
    • The Korean Journal of Nuclear Medicine Technology
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    • v.27 no.1
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    • pp.36-41
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    • 2023
  • Purpose The long-term trend of extrinsic uniformity by type of gamma camera was analyzed, and the factors affecting uniformity were investigated. Based on this, the purpose was to predict the life of the gamma camera, pay attention to factors that affect uniformity, and obtain better quality images. Materials and methods Four of the gamma cameras in operation at a senior general hospital in Seoul were selected and the trend of extrinsic uniformity from the first operation date to the present was analyzed. In order to minimize various factors affecting uniformity, a detailed analysis was conducted by calculating the monthly and annual average of the uniformity values. Results Two Symbia E gamma cameras from SIEMENS, one Symbia Evo Excel gamma camera, and one Symbia Intevo16 gamma camera were selected and analyzed. The uniformity of Symbia E1 (2012 warehousing) changed unevenly, and the uniformity of Symbia E2 (2014 warehousing) changed according to the replacement cycle of 57Co sheet sources. The uniformity of Symbia Evo Excel (received in 2017) and Symbia Intevo 16 (received in 2017) was constant compared to Symbia E. Conclusion The extrinsic uniformity of the gamma camera gradually increased over time. However, there was a difference in uniformity for each type of gamma camera, and there was a change in uniformity in which the cause could not be accurately identified. In order to improve the quality of the image, it is necessary to periodically check changes in uniformity and minimize factors that affect uniformity.

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The Association of Interleukin-1 Receptor Antagonist and Peroxisome Proliferator-Activated $Receptor-{\gamma}2$ Pro12Ala Polymorphism with Ischemic Stroke in Type 2 Diabetes Mellitus Patients. (제2형 당뇨병 환자에서 허혈성 뇌졸중 발생과 Interleukin-1 Receptor Antagonist 및 Peroxisome Proliferator-Activated $Receptor-{\gamma}2$ 유전자 다형성과의 관계)

  • Jang, Won-Man;Lee, Byung-Cheol;Ahn, Se-Young;Doo, Ho-Kyung;Ahn, Young-Min
    • The Journal of Internal Korean Medicine
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    • v.28 no.2
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    • pp.262-274
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    • 2007
  • Objective : It has been reported that two-repeats ($IL1RN^{\ast}2$) of interleukin-1 receptor antagonist (IL-1Ra) gene is associated with ischemic stroke, and that Ala allele of the common Pro12Ala polymorphism in $PPAR-{\gamma}2$ isoform is associated with reduced risk for type 2 DM and its complications. The aim of the present study is to assess the association of IL-1Ra and $PPAR-{\gamma}2$ Pro12Ala polymorphism with the presence of ischemic stroke in the case of diabetic and non-diabetic patients. Methods : Genomic DNA was obtained from 373 healthy subjects, 157 DM subjects without ischemic stroke (known DM duration ${\ge}10$ years) and 302 ischemic stroke patients (including with DM). IL-1Ra polymorphism was analysed by polymerase chain reaction (PCR), and $PPAR-{\gamma}2$ polymorphism by restriction fragment length polymorphism after PCR. Results : $IL1RN^{\ast}1/IL1RN^{\ast}2$ genotype was associated with significantly increased risk for DM (OR=2.86, P = 0.0008) and ischemic stroke (OR=2.74, P = 0.0016). Pro/Ala genotype was associated with the reduced risk for DM (OR=0.53, P = 0.0491) and ischemic stroke (OR=0.38, P = 0.0039). They were also associated with the reduced risk for ischemic stroke in the DM patients compared with DM without ischemic stroke (OR=0.25, P = 0.0321). Conclusions : $IL1RN^{\ast}2$ allele could be an accelerating factor, not a predictive marker for ischemic stroke in type 2 DM. The Pro/Ala genotype of $PPAR-{\gamma}2$ Pro12Ala polymorphism may be associated with reduced risk for ischemic stroke with type 2 DM. Therefore it could be a useful predictive marker for ischemic stroke in Korean type 2 DM.

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PPARγ Physiology and Pathology in Gastrointestinal Epithelial Cells

  • Thompson, E. Aubrey
    • Molecules and Cells
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    • v.24 no.2
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    • pp.167-176
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    • 2007
  • Peroxisome proliferator-activated receptor-gamma ($PPAR{\gamma}$) is expressed at very high levels in the gastrointestinal epithelium. Many of the functions of $PPAR{\gamma}$ in gastrointestinal epithelial cells have been elucidated in recent years, and a pattern is emerging which suggests that this receptor plays an important role in gastrointestinal physiology. There is also strong evidence that $PPAR{\gamma}$ is a colon cancer suppressor in pre-clinical rodent models of sporadic colon cancer, and there is considerable interest in exploitation of $PPAR{\gamma}$ agonists as prophylactic or chemopreventive agents in colon cancer. Studies in mice and in human colon cancer cell lines suggest several mechanisms that might account for the tumor suppressive effects of $PPAR{\gamma}$ agonists, although it is not in all cases clear whether these effects are altogether mediated by $PPAR{\gamma}$. Conversely, several reports suggest that $PPAR{\gamma}$ agonists may promote colon cancer under certain circumstances. This possibility warrants considerable attention since several million individuals with type II diabetes are currently taking $PPAR{\gamma}$ agonists. This review will focus on recent data related to four critical questions: what is the physiological function of $PPAR{\gamma}$ in gastrointestinal epithelial cells; how does $PPAR{\gamma}$ suppress colon carcinogenesis; is $PPAR{\gamma}$ a tumor promoter; and what is the future of $PPAR{\gamma}$ in colon cancer prevention?

Comparative Measurement of Radioactivity with Standard Gamma-ray Ionization Chamber System (표준 감마선 전리함 장치에 의한 방사능 비교 측정)

  • Park, Tae-Soon;Woo, Dong-Ho;Oh, Pil-Jae;Hwang, Sun-Tae
    • Journal of Radiation Protection and Research
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    • v.9 no.1
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    • pp.11-18
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    • 1984
  • A Standard gamma-ray ionization chamber system was developed with a well type ionization chamber and micro current measuring circuit. Micro current was measured by the automatic Townsend balance with stepwise compensation method. For gamma emitting nuclides such as $^{241}Am,\;^{133}Ba,\;^{60}Co,\;^{134}Cs,\;^{137}Cs,\;and\;^{22}Na$ relative calibration factors to $^{226}Ra$ reference source were calculated and detection .efficiency curve was determined as a fudnction of gamma energy.

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Development of Pyropia yezoensis Mutant with Improved Amino Acid Content Using Gamma Rays (방사선 돌연변이 육종기술을 통한 고 아미노산 함유 김(Pyropia yezoensis) 돌연변이 개발)

  • Lee, Hak-Jeung
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.54 no.6
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    • pp.982-988
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    • 2021
  • Gamma irradiation is one of the simple methods used to induce mutagenesis. Therefore, it is widely used for the development of breeding lineages of plants and algae. In this study, it was developed a new variety of Pyropia yezoensis using gamma irradiation. It was applied a dose of 1 kGy and named the developed mutant Py1k. The blade with width of the mutant was narrower and the blade length was longer than those of the wild type. To further investigate the mutant, it was analyzed the nutrient composition and antioxidant activity. In comparison to those in the wild type, it was found a higher amino acid composition and marginally increased antioxidant activity in Py1k. Based on these results, it was suggests that our protocol can be utilized to develop Pyropia species with improved nutritional quality through gamma irradiation.