• Title/Summary/Keyword: $M_{\alpha}$-convergence

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CHARACTERIZING CONVERGENCE CONDITIONS FOR THE Mα-INTEGRAL

  • Garces, Ian June Luzon;Racca, Abraham Perral
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.3
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    • pp.469-480
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    • 2011
  • Park, Ryu, and Lee recently defined a Henstock-type integral, which lies entirely between the McShane and the Henstock integrals. This paper presents two characterizing convergence conditions for this integral, and derives other known convergence theorems as corollaries.

A FUNDAMENTAL THEOREM OF CALCULUS FOR THE Mα-INTEGRAL

  • Racca, Abraham Perral
    • Communications of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.415-421
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    • 2022
  • This paper presents a fundamental theorem of calculus, an integration by parts formula and a version of equiintegrability convergence theorem for the Mα-integral using the Mα-strong Lusin condition. In the convergence theorem, to be able to relax the condition of being point-wise convergent everywhere to point-wise convergent almost everywhere, the uniform Mα-strong Lusin condition was imposed.

Effects of Eicosapentaenoic Acid and Docosahexaenoic Acid on Mitochondrial DNA Replication and PGC-1α Gene Expression in C2C12 Muscle Cells

  • Lee, Mak-Soon;Shin, Yoonjin;Moon, Sohee;Kim, Seunghae;Kim, Yangha
    • Preventive Nutrition and Food Science
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    • v.21 no.4
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    • pp.317-322
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    • 2016
  • Mitochondrial biogenesis is a complex process requiring coordinated expression of nuclear and mitochondrial genomes. The peroxisome proliferator-activated receptor gamma co-activator 1-alpha (PGC-$1{\alpha}$) is a key regulator of mitochondrial biogenesis, and it controls mitochondrial DNA (mtDNA) replication within diverse tissues, including muscle tissue. The aim of this study was to investigate the effects of eicosapentaenoic acid (EPA) and docosahexaenoic acid (DHA) on mtDNA copy number and PGC-$1{\alpha}$ promoter activity in $C_2C_{12}$ muscle cells. mtDNA copy number and mRNA levels of genes related to mitochondrial biogenesis such as PGC-$1{\alpha}$, nuclear respiratory factor 1 (NRF1) and mitochondrial transcription factor A (Tfam) were assayed by quantitative real-time PCR. The PGC-$1{\alpha}$ promoter from -970 to +412 bp was subcloned into the pGL3-basic vector, which includes a luciferase reporter gene. Both EPA and DHA significantly increased mtDNA copy number, dose and time dependently, and up-regulated mRNA levels of PGC-$1{\alpha}$, NRF1, and Tfam. Furthermore, EPA and DHA stimulated PGC-$1{\alpha}$ promoter activity in a dose-dependent manner. These results suggest that EPA and DHA may modulate mitochondrial biogenesis, which was partially associated with increased mtDNA replication and PGC-$1{\alpha}$ gene expression in $C_2C_{12}$ muscle cells.

Comparative GC-MS Based In vitro Assays of 5α-Reductase Activity Using Rat Liver S9 Fraction

  • Lee, Su-Hyeon;Lee, Dong-Hyoung;Lee, Jeong-Ae;Lee, Won-Yong;Chung, Bong-Chul;Choi, Man-Ho
    • Mass Spectrometry Letters
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    • v.3 no.1
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    • pp.21-24
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    • 2012
  • $5{\alpha}$-Dihydrotestosterone (DHT) is the primary active metabolite of testosterone, catalyzed by $5{\alpha}$-reductase ($5{\alpha}R$) in the skin, prostate, and liver. In this study, the $5{\alpha}R$ activity in rat liver S9 fraction in the presence of a NADPH-generating system was evaluated and compared by gas chromatography-mass spectrometry (GC-MS)-based in vitro assays. Testosterone and a $5{\alpha}R$ inhibitor, finasteride, were added to the S9 fractions and incubated at $37^{\circ}C$ for 1 h. Both testosterone and DHT were quantitatively measured and compared with two different GC-MS-based steroid profiling techniques. DHT was not detected by conventional GC-MS analysis in the absence of finasteride when the concentration of testosterone in the S9 fraction was less than $0.2{\mu}M$, whereas the isotope-dilution GC-MS (GC-IDMS) system was able to evaluate the $5{\alpha}R$ activity. Because the S9 fraction contains more reactive enzymes and is easier to collect from tissues compared with a microsomal solution, the combination of the S9 fraction and GC-IDMS technique may be a promising assay for evaluating the $5{\alpha}R$ activity in large-scale clinical studies.

Signal Transduction of Equine Follicle-Stimulating Hormone Receptor (eFSHR) by rec-eelFSHβ/α, Natural Porcine FSH, and Natural Human FSH

  • Byambaragchaa, Munkhzaya;Kim, Dae-Jung;Kang, Myung-Hwa;Min, Kwan-Sik
    • Reproductive and Developmental Biology
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    • v.42 no.1
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    • pp.1-6
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    • 2018
  • In this study, we analyzed signal transduction by equine follicle-stimulating hormone receptor (eFSHR) on sti- mulation with recombinant $eelFSH{\beta}/{\alpha}$ ($rec-eelFSH{\beta}/{\alpha}$), natural porcine FSH (pFSH), and natural human FSH (hFSH). cAMP stimulation in CHO-K1 cells expressing eFSHR was determined upon exposure to different doses (0-1450 ng/mL) of these hormones. The $EC_{50}$ value of $rec-eelFSH{\beta}/{\alpha}$ was 53.35 ng/mL. The Rmax values of $rec-eelFSH{\beta}/{\alpha}$ and pFSH were 28.12 and 2.88 ng/mL, respectively. The activity of $rec-eelFSH{\beta}/{\alpha}$ was much higher than that of natural pFSH. However, signal transduction in CHO PathHunter Parental cells expressing eFSHR was not enhanced by stimulation with natural hFSH. Thus, $rec-eelFSH{\beta}/{\alpha}$ was completely active in cells expressing eFSHR. However, natural hFSH did not invoke a signal response in cells expressing eFSHR. Particularly, natural pFSH was weakly active in the same cells. These results showed that $eelFSH{\beta}/{\alpha}$ has potent activity in cells expressing eFSHR. Thus, $rec-eelFSH{\beta}/{\alpha}$ may efficiently bind to eFSHR, where as natural hFSH does not bind to eFSHR.

Solution Processed Porous Fe2O3 Thin Films for Solar-Driven Water Splitting

  • Suryawanshi, Mahesh P.;Kim, Seonghyeop;Ghorpade, Uma V.;Suryawanshi, Umesh P.;Jang, Jun Sung;Gang, Myeng Gil;Kim, Jin Hyeok;Moon, Jong Ha
    • Korean Journal of Materials Research
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    • v.27 no.11
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    • pp.631-635
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    • 2017
  • We report facile solution processing of mesoporous hematite (${\alpha}-Fe_2O_3$) thin films for high efficiency solar-driven water splitting. $Fe_2O_3$ thin films were prepared on fluorine doped tin oxide(FTO) conducting substrates by spin coating of a precursor solution followed by annealing at $550^{\circ}C$ for 30 min. in air ambient. Specifically, the precursor solution was prepared by dissolving non-toxic $FeCl_3$ as an Fe source in highly versatile dimethyl sulfoxide(DMSO) as a solvent. The as-deposited and annealed thin films were characterized for their morphological, structural and optical properties using field-emission scanning electron microscopy(FE-SEM), X-ray diffraction(XRD), X-ray photoelectron spectroscopy(XPS) and UV-Vis absorption spectroscopy. The photoelectrochemical performance of the precursor (${\alpha}-FeOOH$) and annealed (${\alpha}-Fe_2O_3$) films were characterized and it was found that the ${\alpha}-Fe_2O_3$ film exhibited an increased photocurrent density of ${\sim}0.78mA/cm^2$ at 1.23 V vs. RHE, which is about 3.4 times higher than that of the ${\alpha}-FeOOH$ films ($0.23mA/cm^2$ at 1.23 V vs. RHE). The improved performance can be attributed to the improved crystallinity and porosity of ${\alpha}-Fe_2O_3$ thin films after annealing treatment at higher temperatures. Detailed electrical characterization was further carried out to elucidate the enhanced PEC performance of ${\alpha}-Fe_2O_3$ thin films.

Anti-inflammatory and Antioxidant Effects of Hot Water Extracts from Kaempferia Galanga L (삼내자 열수추출물의 항산화 및 항염 효과)

  • Chan, Ching Yuen Venus;Lee, Ji-An
    • Journal of Convergence for Information Technology
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    • v.9 no.6
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    • pp.218-226
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    • 2019
  • In this study, we investigated the possibility of Kaempferia Galanga(KG) hot water extract on the antioxidant, cytotoxic and anti-inflammatory efficacy as a cosmetic ingredient. Antioxidant effects were evaluated based on DPPH and ABTS radical scavenging activity, FRAP assay, and total polyphenol contents. The MTT assay was used to confirm the cell toxicity in mouse macrophage RAW264.7 cells. Anti-inflammatory effects were also investigated in LPS-induced RAW264.7 cells by measuring secretion of NO, $TNF-{\alpha}$ and iNOS, $TNF-{\alpha}$ mRNA expression level. As a result, DPPH and ABTS radical scavenging activities were increased in a concentration-dependent manner. The ferric reducing antioxidant power(FRAP) was the highest at 5 mg/mL as 24.5 uM. The measurements of total polyphenol content was $1.28{\pm}0.064mg\;GAE/g$. The cytotoxicity of the KG extract results showed no cytotoxicity at concentration of 0.625 to 2.5 mg/mL. In addition, the extract of KG significantly suppressed the LPS-induced nitrite, $TNF-{\alpha}$ secretion and the mRNA expression of iNOS, $TNF-{\alpha}$ in RAW264.7 cells. Taken together, these data suggest that the KG hot water extracts can be used as a safe and functional cosmetic raw material.

A STUDY ON CONVERGENCE OF EXTENDED LEAP-FROGGING NEWTON'S METHOD LOCATING MULTIPLE ZEROS

  • Geum, Young Hee
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.2
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    • pp.217-227
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    • 2009
  • Assuming that a given nonlinear function f : $\mathbf{R}{\rightarrow}\mathbf{R}$ has a zero $\alpha$with integer multiplicity $m{\geq}1$ and is sufficiently smooth in a small neighborhood of $\alpha$, we define extended leap-frogging Newton's method. We investigate the order of convergence and the asymptotic error constant of the proposed method as a function of multiplicity m. Numerical experiments for various test functions show a satisfactory agreement with the theory presented in this paper and are throughly verified via Mathematica programming with its high-precision computability.

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Expression and Localization of 20α-Hydroxysteroid Dehydrogenase in Immature Pig Testis (미니돼지 정소에서 20α-HSD의 발현 및 특성화)

  • Kim, Jeong-Soo;Seong, Hun-Ki;Byambaragchaa, Munkhzaya;Sim, Bo-Woong;Her, Chang-Gi;Kang, Myung-Hwa;Min, Kwan-Sik
    • Journal of Life Science
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    • v.27 no.7
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    • pp.739-745
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    • 2017
  • In all mammalian species, progesterone is essential in the preparation for and maintenance of pregnancy. $20{\alpha}$-hydroxysteroid dehydrogenase ($20{\alpha}$-HSD) predominantly converts progesterone into its biologically inactive form $20{\alpha}$-hydroxyprogesterone ($20{\alpha}$-OHP), and plays a crucial role in the termination of pregnancy and initiation of parturition. In this study, we characterized the expression and localization of $20{\alpha}$-HSDinthe testis of MediKinetics $Micropigs^{(R)}$. The testes were collected at days 6, 9, 12, 18, and 21 after birth. The $20{\alpha}$-HSD mRNA was found to be expressed in the testis at day 6 after birth by RT-PCR. The highest level of mRNA expression in the testis was detected on day 21 after birth. However, the mRNA was not detected in the placenta after parturition. Western blot for $20{\alpha}$-HSD reveal that the specific 37-kDa band was detected in immature pig testis. However, this band was not detected in testis tissue at day 6 after birth. In the immunohistochemical analysis of the testis, $20{\alpha}$-HSD was detected in the Sertoli cells and Leydig cells. Taken together, our study shows for the first time that the $20{\alpha}$-HSD mRNA and protein are expressed in pig testis after birth. Further investigation is required to elucidate the functional mechanisms of $20{\alpha}$-HSD in pig testis after birth.