• Title/Summary/Keyword: cP1P

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SOME CLASSES OF MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS I

  • AUOF, M.K.;DARWISH, H.E.
    • Honam Mathematical Journal
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    • v.16 no.1
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    • pp.119-135
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    • 1994
  • Let $Q_{n+p-1}(\alpha)$ denote the- dass of functions $$f(z)=z^{P}-\sum_{n=0}^\infty{a_{(p+k)}z^{p+k}$$ ($a_{p+k}{\geq}0$, $p{\in}N=\left{1,2,{\cdots}\right}$) which are analytic and p-valent in the unit disc $U=\left{z:{\mid}z:{\mid}<1\right}$ and satisfying $Re\left{\frac{D^{n+p-1}f(\approx))^{\prime}}{pz^{p-a}\right}>{\alpha},0{\leq}{\alpha}<1,n>-p,z{\in}U.$ In this paper we obtain sharp results concerning coefficient estimates, distortion theorem, closure theorems and radii of p-valent close-to- convexity, starlikeness and convexity for the class $Q_{n+p-1}$ ($\alpha$). We also obtain class preserving integral operators of the form $F(z)=\frac{c+p}{z^{c}}\int_{o}^{z}t^{c-1}f(t)dt.$ c>-p $F\left(z\right)=\frac{c+p}{z^{c}}\int_{0}^{z} t^{c-1}f\left(t \right)dt. \qquad c>-p$ for the class $Q_{n+p-1}$ ($\alpha$). Conversely when $F(z){\in}Q_{n+p-1}(\alpha)$, radius of p-valence of f(z) has been determined.

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A MEAN VALUE FUNCTION AND ITS COMPUTATIONAL FORMULA RELATED TO D. H. LEHMER'S PROBLEM

  • Wang, Tingting
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.487-494
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    • 2016
  • Let p be an odd prime and c be a fixed integer with (c, p) = 1. For each integer a with $1{\leq}a{\leq}p-1$, it is clear that there exists one and only one b with $0{\leq}b{\leq}p-1$ such that $ab{\equiv}c$ mod p. Let N(c, p) denote the number of all solutions of the congruence equation $ab{\equiv}c$ mod p for $1{\leq}a$, $b{{\leq}}p-1$ in which a and $\bar{b}$ are of opposite parity, where $\bar{b}$ is defined by the congruence equation $b{\bar{b}}{\equiv}1$ mod p. The main purpose of this paper is using the mean value theorem of Dirichlet L-functions and the properties of Gauss sums to study the computational problem of one kind mean value function related to $E(c,p)=N(c,p)-{\frac{1}{2}}{\phi}(p)$, and give its an exact computational formula.

RELATING GALOIS POINTS TO WEAK GALOIS WEIERSTRASS POINTS THROUGH DOUBLE COVERINGS OF CURVES

  • Komeda, Jiryo;Takahashi, Takeshi
    • Journal of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.69-86
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    • 2017
  • The point $P{\in}{\mathbb{P}}^2$ is referred to as a Galois point for a nonsingular plane algebraic curve C if the projection ${\pi}_P:C{\rightarrow}{\mathbb{P}}^1$ from P is a Galois covering. In contrast, the point $P^{\prime}{\in}C^{\prime}$ is referred to as a weak Galois Weierstrass point of a nonsingular algebraic curve C' if P' is a Weierstrass point of C' and a total ramification point of some Galois covering $f:C^{\prime}{\rightarrow}{\mathbb{P}}^1$. In this paper, we discuss the following phenomena. For a nonsingular plane curve C with a Galois point P and a double covering ${\varphi}:C{\rightarrow}C^{\prime}$, if there exists a common ramification point of ${\pi}_P$ and ${\varphi}$, then there exists a weak Galois Weierstrass point $P^{\prime}{\in}C^{\prime}$ with its Weierstrass semigroup such that H(P') = or , which is a semigroup generated by two positive integers r and 2r + 1 or 2r - 1, such that P' is a branch point of ${\varphi}$. Conversely, for a weak Galois Weierstrass point $P^{\prime}{\in}C^{\prime}$ with H(P') = or , there exists a nonsingular plane curve C with a Galois point P and a double covering ${\varphi}:C{\rightarrow}C^{\prime}$ such that P' is a branch point of ${\varphi}$.

Cyclic Phytosphingosine-1-Phosphate Primed Mesenchymal Stem Cells Ameliorate LPS-Induced Acute Lung Injury in Mice

  • Youngheon Park;Jimin Jang;Jooyeon Lee;Hyosin Baek;Jaehyun Park;Sang-Ryul Cha;Se Bi Lee;Sunghun Na;Jae-Woo Kwon;Seok-Ho Hong;Se-Ran Yang
    • International Journal of Stem Cells
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    • v.16 no.2
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    • pp.191-201
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    • 2023
  • Background and Objectives: O-cyclic phytosphingosine-1-phosphate (cP1P) is a synthetic chemical and has a structure like sphingosine-1-phosphate (S1P). S1P is known to promote cell migration, invasion, proliferation, and anti-apoptosis through hippocampal signals. However, S1P mediated cellular-, molecular mechanism is still remained in the lung. Acute lung injury (ALI) and its severe form acute respiratory distress syndrome (ARDS) are characterized by excessive immune response, increased vascular permeability, alveolar-peritoneal barrier collapse, and edema. In this study, we determined whether cP1P primed human dermal derived mesenchymal stem cells (hdMSCs) ameliorate lung injury and its therapeutic pathway in ALI mice. Methods and Results: cP1P treatment significantly stimulated MSC migration and invasion ability. In cytokine array, secretion of vascular-related factors was increased in cP1P primed hdMSCs (hdMSCcP1P), and cP1P treatment induced inhibition of Lats while increased phosphorylation of Yap. We next determined whether hdMSCcP1P reduce inflammatory response in LPS exposed mice. hdMSCcP1P further decreased infiltration of macrophage and neutrophil, and release of TNF-α, IL-1β, and IL-6 were reduced rather than naïve hdMSC treatment. In addition, phosphorylation of STAT1 and expression of iNOS were significantly decreased in the lungs of MSCcP1P treated mice. Conclusions: Taken together, these data suggest that cP1P treatment enhances hdMSC migration in regulation of Hippo signaling and MSCcP1P provide a therapeutic potential for ALI/ARDS treatment.

Development and Characterization of Expression Vectors for Corynebacterium glutamicum

  • Lee, Jinho
    • Journal of Microbiology and Biotechnology
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    • v.24 no.1
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    • pp.70-79
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    • 2014
  • In an attempt to develop a variety of expression vector systems for Corynebacterium glutamicum, six types of promoters, including $P_{tac}$, $P_{sod}$, $P_{sod}$ with a conserved Shine-Dalgarno (SD) sequence from C. glutamicum, $P_{ilvC}$, $P_{ilvC}$ with a conserved SD-1 ($P_{ilvC-M1}$), and $P_{ilvC}$ with a conserved SD-2 ($P_{ilvC-M2}$), were cloned into a modified shuttle vector, pCXM48. According to analysis of promoter strength by quantitative reverse transcription PCR, $P_{sod}$ and $P_{sod-M}$ were superior to tac and ilvC promoters in terms of transcription activity in C. glutamicum. All of the promoters have promoter activities in Escherichia coli, and $P_{sod-M}$ displayed the highest level of transcriptional activity. The protein expression in constructed vectors was evaluated by measuring the fluorescence of green fluorescent protein (GFP) and SDS-PAGE. C. glutamicum harboring plasmids showed GFP fluorescence with an order of activity of $P_{ilvC}$ > $P_{ilvC-M1}$ > $P_{sod}$ > $P_{ilvC-M2}$ > $P_{sod-M}$, whereas all plasmids except pCSP30 with $P_{sod}$ displayed fluorescence activities in E. coli. Of them, the strongest level of GFP was observed in E. coli with $P_{sod-M}$, and this seems to be due to the introduction of the conserved SD sequence in the translational initiation region. These results demonstrate that the expression vectors work well in both C. glutamicum and E. coli for the expression of target proteins. In addition, the vector systems harboring various promoters with different strengths, conserved SD sequences, and multiple cloning sites will provide a comfortable method for cloning and gene expression, and consequently contribute to the metabolic engineering of C. glutamicum.

Effect of the Water Soluble Extracts from Velvet Antler on Lipid Metabolism and Blood Components in Rats (수용성 녹용 추출물이 랫드의 지방대사 및 혈액성분에 미치는 영향)

  • Cui, Xang Soon;Kim, Hye In;Cho, Seong Koo
    • Journal of Animal Science and Technology
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    • v.50 no.3
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    • pp.417-428
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    • 2008
  • An experiment was conducted with 80 male rats for 4 weeks to investigate the effect of water soluble extracts(WSE) from different sections of farmed Elk(Cervus elaphus) antler on lipid metabolism and hematology. Antlers were divided into four sections of tip, upper, middle and base. Water soluble extract(35g/60ml) was prepared from each section of antler, and was administered orally to male Sprague- Dawley rats(10ml/kg body weight) once a day. Administration of WSE from upper, middle and base sections of antler decreased(P<0.0027) AST values at 3 weeks of feeding, however AST value was decreased(P< 0.0136) in the WSE of base section compared to that of control at 4 weeks of feeding. Administration of antler WSE for 4 weeks decreased total cholesterol in visceral fat(P<0.0035) and liver(P<0.0003) at 4 weeks of feeding compared to those of control. Feeding antler WSE for 4 weeks increased the compositions of C14:0(P<0.0037), C16:1(P<0.0061), C18:1(P<0.0066), C18:2(P< 0.0069) and C18:3(P<0.0035) in the visceral fat compared with that of control.

Roof Greening applied a Sallow Green Roof Module System Out of Management - Focused on the Effects on the Growth of Plants by Difference of Soil Mixture Ratio - (식생모듈박스를 이용한 저토심 무관리형 옥상녹화 - 토양 배합비가 식물생육에 미치는 영향을 중심으로 -)

  • Kang, Tai-Ho;Zhao, Hong-Xia;Li, Hong;Kang, Sung-Hoon
    • Journal of the Korean Institute of Landscape Architecture
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    • v.40 no.3
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    • pp.91-98
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    • 2012
  • The objective of this study was to analyze the effects on the growth of Sedum species by different soil in shallow green roof module system, and to find the best soil mixture. The experiment used a module system, 7cm soil depth, five types of soil mixture ratio, and it was carried out on 7th Hoar rooftop in December of 2010. The growth status of the plant showed the most superior of the P5C7P2V1, next P10C1P2V1 and P1P1V1, P1 and C1 showed very poor growth. This result showed that the soil mixture ratio (P5C7P2V1) in green roof module system with minimum management can contribute to the proliferation of rooftop greening in urban settings.

Prenatal Deaths and External Malformations Caused by X-Irradiation during the Preimplantation Period of ddy Mice (임신 ddy Mice에서 착상전기 방사선 조사에 따른 산전 사망 및 외부 기형 발현)

  • Ro, Hee-Jeong;Choi, Ihl-Bhong;Gu, Yeun-Wh
    • Radiation Oncology Journal
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    • v.16 no.3
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    • pp.233-243
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    • 1998
  • Purpose : To evaluate the effects of X-irradiation on prenatal deaths, i.e., preimplantation deaths, embryonic deaths and fetal deaths, and on external malformations in precompacted preimplantation ddy mice Materials and Methods : Pregnant mice (n=85) obtained by limiting the mating time to from 6 to 9 A.M., were segregated into 11 groups. The first five groups (n=26) were irradiated with X-ray doses of 0.1 0.5, 0.75, 1.5, and 3 Gy, respectively, at 24 h post conception (p.c.) of the preimplantation Period. The second five (n=27) groups were irradiated at the same X-ray doses, respectively, but at 48 h p.c. of the preimplantation period. The last group (n=32) was the control group. The uterine contents were examined on the 18th day of gestation for prenatal deaths and external malformations. Results : 1) A statistically significant increase in preimplantation deaths with increasing dose was observed in the experimental groups irradiated at 24 h p.c. and in the groups irradiated at 48 h p.c., as compared to the control group. The threshold dose was close to 0.05 Gy and 0.075 Gy for the irradiations at 24 h p.c. and 48 h p.c. respectively. 2) A statistically significant increase in embryonic deaths with increasing dose was observed in all irradiation groups, except the group irradiated with a dose of 0.1 Gy at 48 h p.c.. 3) No fetal deaths were found in any experimental group. 4) In the experimental groups irradiated at 24 h p.c. anomalies increased with statistical significance, as compared with the control group : 2 exencephalies, 2 open eyelids, 3 anophthalmias, 2 cleft Palates, 2 gastroschisis, 1 abdominal wall defect. 1 leg defect, and 2 short tail anomalies: the threshold dose for external malformations was close to 0.2 Gy at 24 h p.c.. In the groups irradiated at 48 h p.c., 1 open eyelid and 2 short tail anomalies were observed, but there was no statistical significance in those malformations. Conclusion : The results of this study reveal that X-irradiation of precompacted preimplantation ddy mice causes not only preimplantation deaths and embryonic deaths but also external malformations. In addition, external malformations were observed in our experiments at diagnostic doses, including 0.1 and 0.5 Gy. For this reason, we recommend that irradiation should be avoided during the preimplantation period by applying Rugh's 10-day rule.

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Effect of Incubation Temperature and pH on Chlamydospores Germination of Cylindrocarpon destructans Causing Root Rot of Panax ginseng (인삼 뿌리썩음병균 Cylindrocarpon destructans의 후막포자 발아에 미치는 배양온도 및 pH의 효과)

  • 조대휘;유연현
    • Journal of Ginseng Research
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    • v.25 no.3
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    • pp.136-140
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    • 2001
  • Effects of incubation temperature and pH on chlamydospore germination of Cylindrocarpon destrcutans (isolate CY-9802) causing root rot of Panax ginseng were studied. Germination rate of the chlamydospores on Czapek solution agar(CSA) was higher than on potato dextrose agar(PDA) at the incubation temperatures tested. The chlamydospores were able to be germinated at range of 5$\^{C}$ to 30$\^{C}$ after 48 hours incubation on CSA. Germination rate was 53.2∼6.27% at range of 15$\^{C}$ to 25$\^{C}$, and the optimum temperature was 20$\^{C}$, whereas they were very low at 30$\^{C}$ on PDA. Germination rate was 43.6% to 47.9% at range of 10$\^{C}$ to 20$\^{C}$, and the optimum temperature was 20$\^{C}$ as well. They were able to be germinated at pH of 5.2 to 8.1 on CSA and 5.2 to 7.2 on PDA. Optimum pHs for the germination on CSA and PDA were from 6.4 to 8.2 and from 5.2 to 6.0, respectively. Mycelial color of the fungus on CSA was pale brown at pH from 5.2 to 6.0 and white from pH 6.4 to 8.1, while it was typical dark brown ar range of pH 5.2 to 7.1 and brown at pH 7.2 on PDA after 21 days incubation.

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Studies on Cellulolytic Enzyme Producing by Ckaetomium globosum -Part 2. Purification of Cellulase- (Chaetomium globosum 이 생성하는 Cellulose 분해 효소에 관한 연구 -(제2보) Cellulase의 정제-)

  • Chung, Dong-Hyo
    • Applied Biological Chemistry
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    • v.12
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    • pp.33-41
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    • 1969
  • 1. Crude cellulase extracted from wheat bran media of Chaetomium globosum with pH 7.0 McIlvaine buffer was fractionated by precipitation with ammonium sulfate and by treatment with the cellulose powder, DEAE-Sephadex A-25 and Amberite XE-65 (IRC-50) column chromatography. 2. Consquently two cellulases C-1 and C-2 were obtained by cellulose column chromatography. Cellulose C-1 was a powerful CMC-saccharifying and CMC-liquefying activity but cellulose C-2 was stronger CMC-liquefying activity compared to CMC-saccharifying activity and cellulase C-2 had smaller protein than that of cellulose C-1. And cellulose C-2 was fractionated by DEAE-Sephadex A-25 column chromatography into cellulase C-1-1 and cellulose C-1-2. 3. It can be obtained, therefore, that cellulose produced Chaelomium globosum consisted, at least, of three cellulases C-2, C-1-1 and C-1-2. 4. Cellulose C-1-1 was homogenous in the ultraviolet and the ultracentrifuge pattern. And cellulose C-1-1 had enzyme for CMC-saccharifying activity. 5. The optimum pH for the enzyme activity of cellulose C-1-1 was 4.0 in any methods of meas urement reducing sugar and viscosity. The optimum temperature was $40^{\circ}C$ in any methods. 6. The pH stability of cellulase C-1-1 was within pH 5.0 to pH 6.0 at $40^{\circ}C$ and fairly stable in acidic solution. 7. The heat stability was below $50^{\circ}C$ at pH 4.0 and complete heat inactivation of this cellulase occurred at $70^{\circ}C$.

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