• Title/Summary/Keyword: P2X4

Search Result 4,052, Processing Time 0.035 seconds

THE DYNAMICS OF POSITIVE SOLUTIONS OF A HIGHER ORDER FRACTIONAL DIFFERENCE EQUATION WITH ARBITRARY POWERS

  • GUMUS, MEHMET;SOYKAN, YUKSEL
    • Journal of applied mathematics & informatics
    • /
    • v.35 no.3_4
    • /
    • pp.267-276
    • /
    • 2017
  • The purpose of this paper is to investigate the local asymptotic stability of equilibria, the periodic nature of solutions, the existence of unbounded solutions and the global behavior of solutions of the fractional difference equation $$x_{n+1}=\frac{^{{\alpha}x}n-1(k+1)}{{\beta}+{\gamma}x^p_{n-k}x^q_{n-(k+2)}}$$, $$n=0,1,{\dots}$$ where the parameters ${\alpha}$, ${\beta}$, ${\gamma}$, p, q are non-negative numbers and the initial values $x_{-(k+2)}$,$x_{-(k+1)}$, ${\dots}$, $x_{-1}$, $x_0{\in}\mathb{R}^+$.

Almost sure convergence for weighted sums of I.I.D. random variables (II)

  • Sung, Soo-Hak
    • Bulletin of the Korean Mathematical Society
    • /
    • v.33 no.3
    • /
    • pp.419-425
    • /
    • 1996
  • Let ${X, X_n, n \geq 1}$ be a sequence of independent and identically distributed(i.i.d) random variables with EX = 0 and $E$\mid$X$\mid$^p < \infty$ for some $p \geq 1$. Let ${a_{ni}, 1 \leq i \leq n, n \geq 1}$ be a triangular arrary of constants. The almost sure(a.s) convergence of weighted sums $\sum_{i=1}^{n} a_{ni}X_i$ can be founded in Choi and Sung[1], Chow[2], Chow and Lai[3], Li et al. [4], Stout[6], Sung[8], Teicher[9], and Thrum[10].

  • PDF

A Study on the pH-, pNa- and pK-Sensing Properties of K and Al Coimplanted SiO$_2$ Thin Films (K 및 Al 이중이온주입된 SiO$_2$ 박막의 pH, pNa 및 pK 농도 감지특성에 관한 연구)

  • 김병수;신백균;이붕주;이덕출
    • The Transactions of the Korean Institute of Electrical Engineers C
    • /
    • v.52 no.7
    • /
    • pp.293-297
    • /
    • 2003
  • Silicon dioxide (SiO$_2$) layers were fabricated on Si$_3$N$_4$/SiO$_2$/Si layer structures by low pressure chemical vapor deposition (LPCVD). Potassium and aluminum were then coimplanted by implanting potassium ions with the energy of 100 [keY] and dose of 5x10$^{16}$ [cm ̄$^2$] and 1x10$^{17}$ [cm ̄$^2$] into an aluminum buffer layer on the SiO$_2$Si$_3$N4/SiO$_2$/Si structure. The pH, pNa, and pK ion sensitivities of the resulting layers were investigated and compared to those of as-deposited silicon dioxide layer. The pK-sensitivity of the silicon dioxide was enhanced by the K and Al coimplantation. On the contrary, the pH and pNa-sensitivities of the coimplanted silicon dioxides were quite lower than that of the as-deposited silicon dioxide.

Influence of 3-(N-methyl-N-X(sub.)phenylaminooxoacetyl) group on the herbicidal activity of Imazethapyr derivatives (Imazethapyr 유도체의 제초활성에 미치는 3-(N-methyl-N-(X)-치환-phenylaminooxoacetyl) group의 영향)

  • Sung, N.D.;Kim, H.J.;Chang, H.S.;Kim, D.W.
    • Applied Biological Chemistry
    • /
    • v.36 no.5
    • /
    • pp.381-386
    • /
    • 1993
  • New twenty five Imazethapyr derivatives, [2-(4-isopropyl-4-methyl-5-oxo-2-imidazolin -2-yl)-3-(N-methyl-N-X(sub.)-phenylaminooxoacetyl)-5-methylpyridine] were synthesized. and The quantitative structure activity relationships (QSARs) between their post-emergence herbicidal activity$(pI_{50})$ values in vivo against Barnyard grass (Echinochloa crus-galli) and physicochemical parameters of substituents(X) of 3-(N-methyl-N-X(sub.)-phenylaminooxoacetyl) group have been studied. From the basis on the findings, in case of post-emergence, the activities were dependent on the steric constant$(E_s<0)$ and electron donating $(\sigma<0)$ effect by subsitituents(X) of 3-(N-methyl-N-X(sub.)phenylaminooxoacetyl) group. Therefore, The most effective compound,15 (4-t-butyl group) and 20 (3,5-dimethyl group) were examined in this study. And the conditions on the compounds predicted to show higher herbicidal activity were also discussed.

  • PDF

The Properties of Photoluminescience and Growth of $CdIn_2Te_4$ Single Crystal ($CdIn_2Te_4$ 단결정 성장과 광발광 특성)

  • 이상열;홍광준
    • Proceedings of the Materials Research Society of Korea Conference
    • /
    • 2003.03a
    • /
    • pp.82-82
    • /
    • 2003
  • p-CdI $n_2$T $e_4$ 단결정을 Bridgeman법으로 3단 수직 전기로에서 성장하였다. 성장된 결정의 결정성은 X선 회절과 광발광 측정으로 조사하였다 막 성장된(as-grown) 결정과 여러 열처리 CdI $n_2$T $e_4$ 결정들의 광발광 스펙트럼 측정으로부터 CdI $n_2$T $e_4$:Cd 광발광에서는 중성 주개 bound 엑시톤 ( $D^{\circ}$,X)가 우세함을 발견하였고 반면에 CdI $n_2$T $e_4$:Cd 광발광에서는 중성 받개 bound 엑시톤 ( $A^{\circ}$,X)가 완전히 사라졌다. 더우기, CdI $n_2$T $e_4$:Te의 광발광 스펙트럼에서 중성 받개 bound 엑시톤 ( $A^{\circ}$,X) 발광은 막 성장된 CdI $n_2$T $e_4$결정에서처럼 우세하였다. 이러한 결과들은 ( $D^{\circ}$,X)가 주개로써 작용하는 $V_{Te}$ ,와 관련이 있고, ( $A^{\circ}$,X)는 받개로 작용하는 $V_{cd}$와 관련이 있음을 가리킨다. p-CdI $n_2$T $e_4$ 결정은 Cd 증기 분위기에서 열처리한 후에는 n형으로 type conversion이 된다는 것을 알았다. 중성 주개-받개 bound 엑시톤 ( $D^{\circ}$, $A^{\circ}$)과 이들의 TO 포논 복제의 발광은 $V_{Te}$ 나 C $d_{int}$와 같은 주개들과 $V_{cd}$ 또는 T $e_{int}$와 같은 받개들 사이의 상호 작용과 관련이 있다. 또한, CdI $n_2$T $e_4$에서 In은 안정된 결합의 형태로 있기 때문에 자연 결함의 형성에는 관련이 없음을 알았다 알았다았다았다

  • PDF

Crystal Structure of Nalidixic Acid (Nalidixic Acid의 결정구조)

  • 김문집;신준철
    • Korean Journal of Crystallography
    • /
    • v.6 no.2
    • /
    • pp.98-102
    • /
    • 1995
  • The crystal structure of -Ethyl-1,4-dihydro-7-methyl-1,8-naphthyridin-4-one-3-carboxylic acid [Nalicixic Acid] has been determined from single crystal X-ray diffraction study; C12H12N2O3, monoclinic, P21/c, a=8.910(2)Å, b=13.145(3)Å, c=9.370(3)Å, β =100.06(2)°, V=1080.6Å, T=293K, Z=4, CuKα(λ=1.5418Å). The molecular structure was solved by direct method and refined by full-matrix least squares to a final R=0.055 for 1555 unique observed [F0>4σ(F0)] reflections and 166 parameters. The conformation of the molecule is stabilized by an intramolecular O(17)-H(17)…O(14) hydrogen bond [2.525(2)Å, 144.3(10)°].

  • PDF

Participation of Peripheral P2X Receptors in Orofacial Inflammatory Nociception in Rats

  • Park, Min-Kyoung;Song, Hyun-Chul;Yang, Kui-Ye;Ju, Jin-Sook;Ahn, Dong-Kuk
    • International Journal of Oral Biology
    • /
    • v.36 no.3
    • /
    • pp.143-148
    • /
    • 2011
  • The present study investigated the role of peripheral P2X receptors in inflammatory pain transmission in the orofacial area in rats. Experiments were carried out on male Sprague-Dawley rats weighing 220 to 280 g. Formalin (5%, 50 ${\mu}L$) and complete Freund's adjuvant (CFA, 25 ${\mu}L$) was applied subcutaneously to the vibrissa pad to produce inflammatory pain. TNP-ATP, a $P2X_{2,2/3,4}$ receptor antagonist, or OX-ATP, a $P2X_7$ receptor antagonist, was then injected subcutaneously at 20 minutes prior to formalin injection. One of the antagonists was administered subcutaneously at three days after CFA injection. The subcutaneous injection of formalin produced a biphasic nociceptive behavioral response. Subcutaneous pretreatment with TNP-ATP (80, 160 or 240 ${\mu}g$) significantly suppressed the number of scratches in the second phase produced by formalin injection. The subcutaneous injection of 50 ${\mu}g$ of OX-ATP also produced significant antinociceptive effects in the second phase. Subcutaneous injections of CFA produced increases in mechanical and thermal hypersensitivity. Both TNP-ATP (480 ${\mu}g$) and OX-ATP (100 ${\mu}g$) produced an attenuation of mechanical hypersensitivity. However, no change was observed in thermal hypersensitivity after the injection of either chemical. These results suggest that the blockade of peripheral P2X receptors is a potential therapeutic approach to the onset of inflammatory pain in the orofacial area.

CEPHALOMETRIC CHARACTERISTICS OF OPEN-BITE CASES WITH DEGENERATIVE JOINT DISEASE(DJD) OF TMJ

  • Kim, Tae-Woo
    • The korean journal of orthodontics
    • /
    • v.25 no.6 s.53
    • /
    • pp.665-674
    • /
    • 1995
  • The purpose of this study is to investigate the cephalometric characteristics of the open-bite patients with DJD of TMJ. The DJD open-bite cases were compared with normal samples and Class II open-bite cases with normal TMJ respectively. Twenty three open-bite patients with bilateral DJD of TMJ($13.9\~35.3$ yens old, Group I) were selected from the Department of Orthodontics, SNUDH. Group ll consisted of thirteen Class II open-bite cases($13.2\~27.4$ years old) with no TMD signs/symtoms and good condylar shapes. Group III samples were the forty eight healthy dental students who have Class I molar relationships with no history of orthodontic treatment, good facial balance and no TMD symptoms($20.0\~26.8$ years old). First, sixty measurements in the lateral cephalometric radiographs and analysis of variance(P<0.05, Scheffe) were used to compare these three groups. The seven measurements showed significant difference(p<0.05) between Group I and Group II. After analysis of variance, six of them were used for the discriminant analysis(Wilks' stepwise analysis) and the discrminant function for Group I/Group II was obtained. The results and conclusions were as follows : In most of the measurments, Group I and Group II showed the same skeletal and dental characteristics. But seven of the sixty measurements(FH-PP angle, SNB, FH-ArGo angle, articulare angle, genial angle, upper gonial angle and Ar-Go length) were significantly different(p<0.05) between Group I and Group II. These differences may be explained by the fact that in DJD cases the mandible rotated backward due to the shortening of the ramus following the degenerative destruction of condylar head and its surrounding structures. The resulting discriminant function was : $D={-0.120X}_1+{0.066X}_2+{0.144X}_3-{0.058X}_4+2000,\;where\;X_1=ArGo\;length(mm),\;X_2=SArGo\;angle(degree),\;X_3=FH-PP\;angle(degree),\;X_4=Gonial\;angle(degree)$. Mean of the group centroids was -0.555 and percent of the 'grouped' cases correctly classified was $88.89\%$.

  • PDF

Knowledge, Attitude, and Practices of Breast Self-Examination of Middle-aged Women in Korea (한국 중년여성들의 유방자가검진(BSE)에 관한 지식, 태도 및 실천정도)

  • Park, Jeong-Sook;Oh, Yun-Jung;Choi, Young-Hee;Park, Eun-A;Chung, Choo-Ja;Jang, Hee-Jung
    • Research in Community and Public Health Nursing
    • /
    • v.13 no.4
    • /
    • pp.719-731
    • /
    • 2002
  • Purpose: The purpose of this study was to identify knowledge, attitude, and practice of middle-aged women breast self-examination, and to develop a breast self-examination promotion program for them. Method: The subjects of the study were 365 middle-aged women in Seoul, Busan, Daegu, Daejeon, Gyeongbok, Gyeongnam, Jeonbuk, Gangwon, and Kyonggi. The instruments used in this study included knowledge (l6items), attitude (22items) by Choi (1996) and practice (1item). The data were collected from September 15 to October 31, 2001 by using self-administered questionnaire. The data were analyzed by using descriptive statistics, Pearson correlation coefficient, $x^2$ test, t-test, ANOVA and Scheffe test with SPSS program. Results: 1) 78.4% of the subjects were educated for breast self-examination. The most common source of knowledge for the breast self-examination was mess media. 2) The average score of knowledge on breast self-examination was 8.52 points. The average score of attitude toward breast self-examination was 3.08 points. 58.3% of the subjects practiced breast self-examination. But only 9.4% of the subjects practiced breast self-examination with a monthly basis. 3) Knowledge on breast self-examination was correlated with demographic variables including residence (F=2.923, p=0.004), education (F=5.145 p=0.000), number of children (F=5.125 p=0.002), family income (F=6.128 p=0.002), and menopause (t=-2.330, p= 0.020). Attitude toward breast self-examination was correlated with demographic variables including residence (F=3.611, p=0.000), age (F=2.731 p= 0.029), education (F=4.480 p=0.004), and family income (F=5.963 p=0.003). Practice of breast self-examination was correlated with demographic variables including residence ($x^2$=51.342, p=0.000), education ($x^2$=19.896, p=0.000), and menopause ($x^2$=9.841, p=0.000). 4) In terms of correlations among the scores of breast self-examination related knowledge, attitude, and practice, there was a correlation between knowledge and attitude. But there was no correlations between knowledge and practice, and between attitude and practice of breast self-examination. Conclusion: This study suggests that programs about the practice of breast self examination need to be developed in the future.

  • PDF

Crystal Structure of Isoimperatorin, $C_{16}H_{14}O_4$ (Isoimperatorin, $C_{16}H_{14}O_4$의 결정구조)

  • 김문집;신준철
    • Korean Journal of Crystallography
    • /
    • v.8 no.2
    • /
    • pp.138-143
    • /
    • 1997
  • The crystal structure of isoimperatorin, f-[(3-methyl-2-butenyl)oxy]-7H-furo[3,2-g][1] benzopyran-7-one, has been determined from single crystal x-ray diffraction study; C16H14O4, Monoclinic, P21/c, a=8.865(1) Å, b=9.331(1) Å, c=16.156(1) Å, β=98.12(1)', V=1322.9(2) Å3, T=293(2)K, z=4, Cu Kα(λ=1.5418 Å). The structure was solved by direct method and refined by full-matrix least squares to a final R=5.72% for 1922 unique observed Fo>4o(F0) reflections and 182 parameters.

  • PDF