• Title/Summary/Keyword: $\beta$-expansion

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Calculation of NMR Chemical Shift for 5d$^n$ Systems (Ⅰ). Application of the Expansion Method for Spherical Harmonics for Computation of Overlap and Dipole Moment Matrix Elements

  • Ahn, Sang-Woon;Oh, Se-Woung;Park, Eui-Suh
    • Bulletin of the Korean Chemical Society
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    • v.6 no.1
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    • pp.3-7
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    • 1985
  • The general formulas for SCF atomic orbitals |5s > and |6p > have been derived separately by expressing the spherical harmonics part in terms of the coordinate($r_1,\;$r_2$) of the reference point, and by translating the exponential part, $r^4\;exp\;(-{\beta}r)$), in terms of $r_1,\;and\;r_2$ and the modified Bessel functions. Master formulas for overlap and dipole moment matrix elements are derived. The computed values of overlap and dipole moment matrix elements for hypothetical NO molecule are exactly in agreement with those for the previous methods.

GOLDEN RATIO RIESZ-NÁGY-TAKÁCS DISTRIBUTION

  • Baek, In-Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.2
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    • pp.247-252
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    • 2011
  • We study some properties of the Riemann-Stieltjes integrals with respect to the Riesz-$N\acute{a}gy$-$Tak\acute{a}cs$ distribution $H_{a,p}$ and its inverse $H_{p,a}$ on the unit interval satisfying the equation 1 - a = $a^2$ and p = 1 - a. Using the properties of the dual distributions $H_{a,p}$ and $H_{p,a}$, we compare the Riemann-Stieltjes integrals of $H_{a,p}$ over some essential intervals with that of its inverse $H_{p,a}$ over the related intervals.

In Vitro Expansion of Homogeneous Neural Precursor Cells Derived from Human Embryonic Stem Cells

  • Na, Deuk-Chae;Kim, Se-Hee;Choi, Won-Ik;Hwang, Hyun-Jin;Han, In-Bo;Kim, Jae-Hwan;Park, Keun-Hong;Chung, Hyung-Min;Choi, Seong-Jun
    • Reproductive and Developmental Biology
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    • v.31 no.4
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    • pp.267-272
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    • 2007
  • Human embryonic stem (ES) cells are derived from the inner cell mass of the preimplantation embryo and have the capacity to differentiate into various types of cells in the body. Hence, these cells may potentially be an indefinite source of cells for cell therapy in various degenerative diseases including neuronal disorders. For clinical applications of human ES cells, directed differentiation of these cells would be necessary. The objective of this study is to develop the culture condition for the expansion of neural precursor cells derived from human ES cells. Human ES cells were able to differentiate into neural precursor cells upon a stepwise culture condition. Neural precursor cells were propagated up to 5000-fold in cell numbers over 12-week period of culture and evaluated for their characteristics. Expressions of sox1 and pax6 transcripts were dramatically up-regulated along the differentiation stages by RT-PCR analysis. In contrast, expressions of oct4 and nanog transcripts were completely disappeared in neural precursor cells. Expressions of nestin, pax6 and sox1 were also confirmed in neural precursor cells by immunocytochemical analysis. Upon differentiation, the expanded neural precursor cells differentiated into neurons, astrocytes, and oligodendrocytes. In immunocytochemical analysis, expressions of type III ${\beta}$-tubulin and MAP2ab were observed Presence of astrocytes and oligodendrocytes were also confirmed by expressions of GFAP and O4, respectively. Results of this study demonstrate the feasibility of long-term expansion of human ES cell-derived neural precursor cells in vitro, which can be a potential source of the cells for the treatment of neurodegenerative disorders.

Effect of Epidermal Growth Factor on In Vitro Maturation in Pig Immature Oocytes I. Effect of Epidermal Growth Factor in Nuclear Maturation (Epidermal Growth Factor가 돼지 미성숙난포란의 체외성숙에 미치는 영향 I. 핵성숙에 미치는 Epidermal Growth Factor의 효과)

  • 엄상준;김선의;김은영;윤산현;박세필;정길생;임진호
    • Korean Journal of Animal Reproduction
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    • v.19 no.3
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    • pp.217-226
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    • 1995
  • The objective of this experiment was to test the effect of EG F on nuclear maturation of pig immature oocytes in vitro. Basic medium used TCM-199 supplemented with 0.2 mM pyruvate, 1 ${\mu}\textrm{g}$/ml estradiol-I7$\beta$ and 25 ${\mu}\textrm{g}$/ml gentamycin, this medium treated with EGF, FSH and FBS. Experiment 1 examined to the effect according to the addition of FSH or EGF (0, 1. 10 and 100 ng EGF/ml) in oocytes maturation. Nuclear maturation rates (M ll %) of 1, 10 and 100 ng EGF/ml (83.0. 8fi.7 and H7.5%) treatments were significantly higher than those of non- and FSH-treated groups (27.3 and 60.3%, p < 0. 001). Experiment 2 examined to the interactive effects of EGF. FSH or FBS during oocytes maturation. Nuclear maturation rates (M ll %) of EGF alone, EGF plus FSH, EGF plus FBS, FSH plus FBS, and EGF plus FSH added FBS treatments (86.7, 90.2, 87.1. 89.6% and 92.6%) were significantly higher than those of non, FSH, and FBS alone treatments (22.3, 52.2 and 42.3%, p < 0.001). Also, cumulus cells expansion of oocytes maturation was examined to total treatments. Normal cumulus cells expansion was shown by FSH plus FBS, EGF or EGF with FBS combination treatments, but cumulus cells of oocyte complexes were still clumped together in EGF-treated groups although they had separated from oocytes. However, EGF showed a positive on nuclear maturation. These results conclude that EGF alone can stimulate nuclear maturation in pig immature oocytes.

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A Study on the Stereochemistry of 1,3-Thiazolidine (1,3-티아졸리딘 술폭시드의 입체구조에 관한 연구)

  • Ma He-Duck;Park Shin-Ja;Han Hoh-Gyu
    • Journal of the Korean Chemical Society
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    • v.37 no.1
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    • pp.119-130
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    • 1993
  • The stereochemistry of 1,3-thiazolidine sulfoxides 1 in which 3 chiral centres are present in a molecule was elucidated by deuterium exchange and trapping reactions. 3-Acetoxy-1,3-thiazolidines 5 was oxidized to 6 and 8, corresponding $\alpha$-cis 10, $\alpha$-trans 11, $\beta$ -cis 12, and $\beta$ -trans 13 isomers were separated from their diasteromeric mixtures. Sulfoxide 10 was isomerized to more thermodynamically stable isomer 13 under neutral conditions in refluxing benzene or toluene. The methyl hydrogens of 2-methyl group in the sulfoxide 13 and those of the sulfoxide 11 were deuterated by the deuterium incorporation reactions. The intermediate sulfenic acids 25 and 26 derived from the sulfoxides 10 and 12 via sigmatropic rearrangement were trapped by 2-mercaptobenzothiazole (2-MBT) to give disufides 27 and 28 respectively. However, the sulfoxides 11 and 13 were transformed to ring expansion product dihydro-1,4-thiazine 29 under the same reaction conditions. In the presence of acid catalyst, the sulfoxides 10, 11, and 12 were converted to dihydro-1,4-thiazine 29 through the sulfoxide 13 quantitatively. The mechanisms of isomerization of sulfoxides and the formation of 29 were also discussed.

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Studies on the Improvement of Performance and Reproductive Efficiency in Farm Animals III. In vitro maturation and fertilizing ability of follicular oocytes in superovulated rabbits (가축의 개량 및 번식효율 증진에 관한 연구 III. 과배란처리 토끼에 있어서 난포란의 체외성숙과 수정능력에 관한 연구)

  • 정영채;김창근;윤종택;박재원
    • Korean Journal of Animal Reproduction
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    • v.10 no.2
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    • pp.211-217
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    • 1986
  • This experiment was conducted to determine the effect of FSH on in vitro maturation and in vitro fertilizing ability of oocytes recovered from normal follicles of different sizes in superovulated rabbits. Follicular oocytes recovered were cultured in modified Ham's F12 medium containing 0, 0.1, 1.0 and 10$\mu\textrm{g}$ FSH/ml for 18 hours and investigated the degree of cumulus cells expansion and nuclear maturation, which were fertilized with in vivo capacitated rabbit sperm. 1. The number of normal follicles<1.5mm, 1.6 to 2.5mm and> 2.5mm in diameter at 16 to 18hrs after HCG administration was 4.8 (38.8%), 5.5(45.4%) and 3.3(15.8%), respectively. Average percent of oocytes recovered was 69.7% and larger follicles tended to have a higher percent, recovery rate than smaller follicles. 2. The degree of cumulus expansion in medium containing 0.1$\mu\textrm{g}$ FSH/ml was similar to that of control, but markedly decreased under the level of above 1$\mu\textrm{g}$ FSH/ml. The proportions of oocytes which reached the second meiotic metaphase were 57.1, 61.5, 43.8 and 45.0% in medium containing 0, 0.1, 1.0 and 10$\mu\textrm{g}$ FSH/ml, respectively. Oocytes from larger follicles showed a higher nuclear maturation than that from smaller follicles. 3. In vitro fertilization rate of oocytes matured under 1$\mu\textrm{g}$ FSH/ml was slightly, not significant, higher than that of others. 4. Progesterone level in follicular fluid was about 67 to 71ng/ml with no difference in follicular sizes and estradiol-17$\beta$ level was under 25pg/ml.

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Effects of Eicosapentaenoic Acid during In Vitro Maturation of Porcine Oocytes: Hormone Synthesis and Embryonic Developmental Potential (에이코사펜타인산이 돼지난포란의 체외 성숙에 미치는 영향)

  • Kim, Kang-Sig;Park, Hum-Dai
    • Journal of Animal Reproduction and Biotechnology
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    • v.34 no.3
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    • pp.222-231
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    • 2019
  • Among fatty acid families, the polyunsaturated fatty acids were demonstrated to be mediators in various reproductive processes as precursor of steroid hormone (via cholesterol) and prostaglandins (via arachidonic acid), and in the last decade, major research was focused on the effects of omega-6 and especially omega-3 fatty acid. Eicosapentaenoic acid, the longest members of omega-3 fatty acid family, can be produced by a series of desaturation and elongation reactions from shorter member such as α-Linolenic acid. However, very few studies have provided detailed descriptions of Eicosapentaenoic acid effects and mechanisms of action in mammalian oocytes. The purpose of this study was to evaluate the effect of Eicosapentaenoic acid supplementation on in vitro maturation and developmental potential of porcine oocytes. Various concentrations of Eicosapentaenoic acid was added into in vitro maturation medium, and we evaluated the degree of cumulus expansion, nuclear maturation rate, blastocysts quality, and levels of prostaglandin E2, 17β-estradiol, progesterone in the spent medium. High doses (100 μM) of Eicosapentaenoic acid supplementation significantly inhibited cumulus expansion and oocyte nuclear maturation, and prostaglandin E2 synthesis also significantly decreased compared with other groups (p < 0.05). Supplementation of 50 μM Eicosapentaenoic acid showed higher quality blastocysts in terms of high cell numbers and low apoptosis when compared with other groups (p < 0.05), and synthesis ratio of E2/P4 also significantly increased compared with control group (p < 0.05). However, Supplementation of 100 μM Eicosapentaenoic acid showed high apoptosis when compared with other groups (p < 0.05), and synthesis ratio of 17β-estradiol/progesterone also significantly decreased compared with control group (p < 0.05). Our results indicated that supplementation with appropriate levels of Eicosapentaenoic acid beneficially affects the change of hormone synthesis for controlling oocyte maturation, leading to improved embryo quality. However, high doses of Eicosapentaenoic acid treatment results in detrimental effects.

Effects of Essential Fatty Acids during In Vitro Maturation of Porcine Oocytes: Hormone Synthesis and Embryonic Developmental Potential

  • Kim, Kang-Sig;Park, Hum-Dai
    • Journal of Animal Reproduction and Biotechnology
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    • v.34 no.2
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    • pp.75-85
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    • 2019
  • Omega-3 α-linolenic acid and omega-6 linoleic acid are essential fatty acids for health maintenance of human and animals because they are not synthesized in vivo. The purpose of this study was to evaluate the effect of α-linolenic acid and linoleic acid supplementation on in vitro maturation and developmental potential of porcine oocytes. Various concentrations of α-linolenic acid and linoleic acid were added into in vitro maturation medium, and we evaluated the degree of cumulus expansion, oocyte nuclear-maturation rate, blastocyst rate, blastocyst quality, and levels of prostaglandin E2, 17β-estradiol, and progesterone in the spent medium. High doses (100 μM) of α-linolenic acid and linoleic acid supplementation significantly inhibited cumulus expansion and oocyte nuclear maturation, and prostaglandin E2 synthesis also significantly decreased compared with other groups (p < 0.05). Supplementation of 50 μM α-linolenic acid and 10 μM linoleic acid showed higher quality blastocysts in terms of high cell numbers and low apoptosis when compared with other groups (p < 0.05), and synthesis ratio of 17β-estradiol / progesterone also significantly increased compared with control group (3.59 ± 0.22 vs. 2.97 ± 0.22, 3.4 ± 0.28 vs. 2.81 ± 0.19, respectively; p < 0.05). Our results indicated that supplementation with appropriate levels of α-linolenic acid and linoleic acid beneficially affects the change of hormone synthesis (in particular, an appropriate increase in the 17β-estradiol / progesterone synthesis ratio) for controlling oocyte maturation, leading to improved embryo quality. However, high doses of α-linolenic acid and linoleic acid treatment results in detrimental effects.

High Dose of FGF-2 Induced Growth Retardation via ERK1/2 De-phosphorylation in Bone Marrow-derived Mesenchymal Stem Cells

  • Shim, Kwang Yong;Saima, Fatema Tuj;Eom, Young Woo
    • Biomedical Science Letters
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    • v.23 no.2
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    • pp.49-56
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    • 2017
  • Fibroblast growth factor (FGF)-2 is one of the most effective growth factors to increase the growth rate of mesenchymal stem cells (MSCs). Previously, we reported that low dose of FGF-2 (1 ng/ml) induced proliferation of bone marrow-derived mesenchymal stem cells (BMSCs) through AKT and ERK activation resulting in reduction of autophagy and senescence, but not at a high dose. In this study, we investigated the effects of high dose FGF-2 (10 ng/ml) on proliferation, autophagy and senescence of BMSCs for long term cultures (i.e., 2 months). FGF-2 increased the growth rate of BMSCs in a dose dependent manner for a short term (3 days), while during long term cultures (2 months), population doubling time was increased and accumulated cell number was lower than control in BMSCs when cultured with 10 ng/ml of FGF-2. 10 ng/ml of FGF-2 induced immediate de-phosphorylation of ERK1/2, expression of LC3-II, and increase of senescence associated ${\beta}$-galactosidase (SA-${\beta}$-Gal, senescence marker) expression. In conclusion, we showed that 10 ng/ml of FGF-2 was inadequate for ex vivo expansion of BMSCs because 10 ng/ml of FGF-2 induced growth retardation via ERK1/2 de-phosphorylation and induction of autophagy and senescence in BMSCs.

Synthesis of Monolithic Gel to Bulk glass-Ceramic in Multicomponent Li2O-Al2O3-SiO2 System (Sol-Gel법에 의한 Li2O-Al2O3-SiO2계 괴상겔 및 결정화유리의 합성)

  • 양중식;작화제부
    • Journal of the Korean Ceramic Society
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    • v.25 no.5
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    • pp.541-551
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    • 1988
  • The purpose of this investigation was to prepare multicomponent monolithic Li-Al-Si gels of composition(mol%) 16.67 Li2O-16.67 Al2O3-66.67 SiO2 and to convert the gels to monolithic glass-ceramic at low temperature without melting. The hydrolysis, DTA, TGA, TMA, SEM, pore distribution, density and the activation energy for crystallization of the glass-ceramic formation with rawmaterials of which tetraethl orhosilicate of networkforming cation(Si) is partially hydrolyzed, aluminum isoproxide and lithium methoxide prepared by Li-metal react with methanol were studied. The results were as follows : 1) Monolithic gels which were added with additional water, resulting in a total water content 2.5 to 3.0 times the stoichiometric amount required to fully hydrolyze the alkoxides. 2) Specimens were dried to form crylinders 60mm in length and 40mm in diameter in about 800 hrs at 5$0^{\circ}C$. 3) $\beta$-eucryptite crystals and $\beta$-spodumene crystals were detected in samples heated above 75$0^{\circ}C$. 4) Within the temperature and range of 25-50$0^{\circ}C$ and 1,00$0^{\circ}C$ the thermal expansion coefficient for crystallized samples were shown as 2.6-5.7$\times$10-7/$^{\circ}C$ and 7.4-12.5$\times$10-7/$^{\circ}C$, respectively. 5) The activation energy for the crystal growth was 11.01kcal/mol at 794$^{\circ}C$ to 85$0^{\circ}C$.

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