• Title/Summary/Keyword: G(E) function

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Renal Action of TNPA, a Dopamine $D_2$Receptor Agonist, in Dog (Dopamine $D_2$Receptor 효능제인 TNPA의 신장작용)

  • 고석태;황명성
    • YAKHAK HOEJI
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    • v.45 no.2
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    • pp.205-213
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    • 2001
  • The dopaminergic receptors were consisted of two distinct subtypes, $D_1$and $D_2$, each having different function. The present study was attempted to investigate the effects of R(-)-2,10,11-trihydroxy-N-n-propylnoraporphine (TNPA), a dopamine $D_2$receptor agonist, on renal function in dog. TNPA (5.0~15.0 $\mu$g/kg), when given into the vein, produced a dose-dependently antidiuresis along with the decrease in osmolar clearance ( $C_{osm}$) and urinary excretion of sodium and potassium ( $E_{Na}$ , and $E_{K}$). It also increased reabsorption rates of sodium and potassium in renal tubules ( $R_{Na}$ , $R_{K}$) without any changes in glomerular filtration rate (GFR), renal plasma flow (RPF) and free water clearance ( $C_{H2o}$). TNPA (0.5~1.5 $\mu$g/kg/min) infused into a renal artery decreased urine flow both in the experimental and the control kidneys. TNPA (1.5~5.0 $\mu$g/kg) administered via the carotid artery also greatly exhibited antidiuresis even at intravenously ineffective doses. Changes of renal function by TNPA given into both the renal artery and the carotid artery were almost the same aspect to those induced by intravenous TNPA. These results obtained from the present study suggest that TNPA produces antidiuresis by increasing the reabsorption rates of electrolytes in renal tubules, mainly distal tubule, through changing of central function.unction.

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ON THE FIXING NUMBER OF FUNCTIGRAPHS

  • Fazil, Muhammad;Javaid, Imran;Murtaza, Muhammad
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.1
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    • pp.171-181
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    • 2021
  • The fixing number of a graph G is the smallest order of a subset S of its vertex set V (G) such that the stabilizer of S in G, ��S(G) is trivial. Let G1 and G2 be the disjoint copies of a graph G, and let g : V (G1) → V (G2) be a function. A functigraph FG consists of the vertex set V (G1) ∪ V (G2) and the edge set E(G1) ∪ E(G2) ∪ {uv : v = g(u)}. In this paper, we study the behavior of fixing number in passing from G to FG and find its sharp lower and upper bounds. We also study the fixing number of functigraphs of some well known families of graphs like complete graphs, trees and join graphs.

SUPERSTABILITY OF A GENERALIZED EXPONENTIAL FUNCTIONAL EQUATION OF PEXIDER TYPE

  • Lee, Young-Whan
    • Communications of the Korean Mathematical Society
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    • v.23 no.3
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    • pp.357-369
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    • 2008
  • We obtain the superstability of a generalized exponential functional equation f(x+y)=E(x,y)g(x)f(y) and investigate the stability in the sense of R. Ger [4] of this equation in the following setting: $$|\frac{f(x+y)}{(E(x,y)g(x)f(y)}-1|{\leq}{\varphi}(x,y)$$ where E(x, y) is a pseudo exponential function. From these results, we have superstabilities of exponential functional equation and Cauchy's gamma-beta functional equation.

Ambient dose equivalent measurement with a CsI(Tl) based electronic personal dosimeter

  • Park, Kyeongjin;Kim, Jinhwan;Lim, Kyung Taek;Kim, Junhyeok;Chang, Hojong;Kim, Hyunduk;Sharma, Manish;Cho, Gyuseong
    • Nuclear Engineering and Technology
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    • v.51 no.8
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    • pp.1991-1997
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    • 2019
  • In this manuscript, we present a method for the direct calculation of an ambient dose equivalent (H* (10)) for the external gamma-ray exposure with an energy range of 40 keV to 2 MeV in an electronic personal dosimeter (EPD). The designed EPD consists of a 3 × 3 ㎟ PIN diode coupled to a 3 × 3 × 3 ㎣ CsI (Tl) scintillator block. The spectrum-to-dose conversion function (G(E)) for estimating H* (10) was calculated by applying the gradient-descent method based on the Monte-Carlo simulation. The optimal parameters for the G(E) were found and this conversion of the H* (10) from the gamma spectra was verified by using 241Am, 137Cs, 22Na, 54Mn, and 60Co radioisotopes. Furthermore, gamma spectra and H* (10) were obtained for an arbitrarily mixed multiple isotope case through Monte-Carlo simulation in order to expand the verification to more general cases. The H* (10) based on the G(E) function for the gamma spectra was then compared with H* (10) calculated by simulation. The relative difference of H* (10) from various single-source spectra was in the range of ±2.89%, and the relative difference of H* (10) for a multiple isotope case was in the range of ±5.56%.

SOME PROPERTIES ON f-EDGE COVERED CRITICAL GRAPHS

  • Wang, Jihui;Hou, Jianfeng;Liu, Guizhen
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.357-366
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    • 2007
  • Let G(V, E) be a simple graph, and let f be an integer function on V with $1{\leq}f(v){\leq}d(v)$ to each vertex $v{\in}V$. An f-edge cover-coloring of a graph G is a coloring of edge set E such that each color appears at each vertex $v{\in}V$ at least f(v) times. The f-edge cover chromatic index of G, denoted by ${\chi}'_{fc}(G)$, is the maximum number of colors such that an f-edge cover-coloring of G exists. Any simple graph G has an f-edge cover chromatic index equal to ${\delta}_f\;or\;{\delta}_f-1,\;where\;{\delta}_f{=}^{min}_{v{\in}V}\{\lfloor\frac{d(v)}{f(v)}\rfloor\}$. Let G be a connected and not complete graph with ${\chi}'_{fc}(G)={\delta}_f-1$, if for each $u,\;v{\in}V\;and\;e=uv{\nin}E$, we have ${\chi}'_{fc}(G+e)>{\chi}'_{fc}(G)$, then G is called an f-edge covered critical graph. In this paper, some properties on f-edge covered critical graph are discussed. It is proved that if G is an f-edge covered critical graph, then for each $u,\;v{\in}V\;and\;e=uv{\nin}E$ there exists $w{\in}\{u,v\}\;with\;d(w)\leq{\delta}_f(f(w)+1)-2$ such that w is adjacent to at least $d(w)-{\delta}_f+1$ vertices which are all ${\delta}_f-vertex$ in G.

Transcriptional Features of the Chromosomal Region Located between the sigH and rplA Genes of Bacillus subtilis

  • Jeong, Sang-Min
    • Biotechnology and Bioprocess Engineering:BBE
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    • v.11 no.2
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    • pp.168-172
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    • 2006
  • In this study. the transcriptional features of a 2.8 kb region spanning the sigH and rplA genes of Bacillus subtilis were clarified using synthetic oligonucleotides complementary to the transcripts of the rpmG, secE, nusG, and rplK genes. The 5' ends of three transcripts corresponding to this region were located and mapped on the chromosome via primer extension analysis. Three regions, designated Prg, Pn, and Prk, which partially share the consensus sequence recognized by ${\sigma}^A$ RNA polymerase, were theorized to function as promoter elements. The rpmG and secE genes of B. subtilis were cotranscribed from the designated prg promoter, whereas the nusG and rplK genes were transcribed separately from the Pn and Prk promoters, respectively. Accordingly, the transcriptional features, as well as the gene organization, of the region encompassing the sigH and rplA genes of B. subtilis, including the rpmG-secE-nusG-rplK genes, were determined to be distinct from those of Escherichia coli. Divergences in terms of gene organization and transcriptional features within the relevant region would serve as excellent criteria for the delineation of phylogenetic relationships among bacteria.

Effect of Ionic Copper Toxicity on the Growth of Green Alga, Selenastrum capricornutum

  • Kim, Mi-Kyung;Ralph E. H. Smith
    • Journal of Microbiology and Biotechnology
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    • v.11 no.2
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    • pp.211-216
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    • 2001
  • The growth of Selenastrum capricornutum in culture was investigated as a function of ionic copper concentrations to verify the toxicity and physiological variation. In a $Cu^{++}$ excess culture (E: $Cu^{++}$ of $130{\mu}g/l$), the growth rate (K)(0.32) was lower than that of the control culture (C: $Cu^{++}$ of $0.065{\mu}g/l$) (0.61) after 8 days and the exponential growth rate ($R_E$) was also found to be lower in culture E (1.1) than culture C (2.9). On the contrary, the K of S. capricornutum in trace $Cu^{++}$ culture ($T_1$ and $T_2$, 0.72) after 6 days tended to be more increased than culture C (0.68). From 8 to 14 days of culture, the amounts of chlorophyllls a and b were increased in culture C (chlorophyll a, $106->126{\mu}g/g$ dry wt; chlorophyll b, $158->208{\mu}g/g$ dry wt; chlorophyll b were decreased in culture E (chlorophyll a, $309->235{\mu}g/g$ dry wt; chlorophyll b, $405->352{\mu}g/g$ dry wt). The amounts of chlorophylls in ionic copper trace culture ($T_1$ and $T_2$) [(chl a/b) of $T_1$: $384/620\;{\mu}g/g$ dry wt; (chl a/b) of $T^2$:$320/467{\mu}g/g$ dry wt] were increased more than the culture C($260/387{\mu}g/g$ dry wt). Howeveer, when photosynthetic rates were normalized to the dry weight of algae, the control culture continued to showed higher values than the treated culture ($T_1$). An appropriate amount of ionic copper ($T_1:\;26\;{\mu}g/l$) stimulated the grwoth of S. capricornutum than the ionic copper content of $13\;{\mu}g/l$ ($T_2$), while the excess amount of ionic copper ($130\;{\mu}g/l$) resulted in the highest toxicity to the growth of S. capricornutum.

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[r, s, t; f]-COLORING OF GRAPHS

  • Yu, Yong;Liu, Guizhen
    • Journal of the Korean Mathematical Society
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    • v.48 no.1
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    • pp.105-115
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    • 2011
  • Let f be a function which assigns a positive integer f(v) to each vertex v $\in$ V (G), let r, s and t be non-negative integers. An f-coloring of G is an edge-coloring of G such that each vertex v $\in$ V (G) has at most f(v) incident edges colored with the same color. The minimum number of colors needed to f-color G is called the f-chromatic index of G and denoted by ${\chi}'_f$(G). An [r, s, t; f]-coloring of a graph G is a mapping c from V(G) $\bigcup$ E(G) to the color set C = {0, 1, $\ldots$; k - 1} such that |c($v_i$) - c($v_j$ )| $\geq$ r for every two adjacent vertices $v_i$ and $v_j$, |c($e_i$ - c($e_j$)| $\geq$ s and ${\alpha}(v_i)$ $\leq$ f($v_i$) for all $v_i$ $\in$ V (G), ${\alpha}$ $\in$ C where ${\alpha}(v_i)$ denotes the number of ${\alpha}$-edges incident with the vertex $v_i$ and $e_i$, $e_j$ are edges which are incident with $v_i$ but colored with different colors, |c($e_i$)-c($v_j$)| $\geq$ t for all pairs of incident vertices and edges. The minimum k such that G has an [r, s, t; f]-coloring with k colors is defined as the [r, s, t; f]-chromatic number and denoted by ${\chi}_{r,s,t;f}$ (G). In this paper, we present some general bounds for [r, s, t; f]-coloring firstly. After that, we obtain some important properties under the restriction min{r, s, t} = 0 or min{r, s, t} = 1. Finally, we present some problems for further research.

Effects of Vitamin E on the Microsomal Mixed Function Oxidase System of Kidney in Streptozotocin-induced Diabetic Rats (식이 Vitamin E가 Streptozotocin 유발 당뇨쥐 신장조직에서의 Microsomal Mixed Function Oxidase System에 미치는 영향)

  • 신주영
    • Journal of Nutrition and Health
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    • v.33 no.6
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    • pp.619-624
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    • 2000
  • The purpose of this study was to investigate the effects of vitamin E on microsomal mixed function oxidase system of kidney in streptozotocin(STZ) induced diabetic rats. Sprague-Dawley male rats weighing 140$\pm$10g were randomly assigned to one control and three STZ-diabetic groups which were subdivided into vitamin E free diet(DM-0E group) 40mg vitamin E per kg diet(DM-40E group) and 400mg vitamin E per kg diet(DM-400E group). Vitamin E level of normal group was 40 mg per kg diet. Diabetes was experimentally induced by intravenous administration of 55 mg/kg B.W of STZ in citrate buffer(pH4.3) after 4 weeks feeding of experimental diets. Animals were sacrificed at the 6th day of diabetic state. The contents of cytochrome P450 in kidney were increased by 82, 54, 41% in DM-0E, DM-40E and DM-400E groups respectively when compared with normal group. The contents of cytochrome b5 in kidney were increased by 28% in DM-0E when compared with normal group but those of DM-40E and DM-400E groups were similar to that of normal group. The activities of NADPH-cytochrome P450 reductase in kidney that were increased by 35% in DM-0E group. Levels of TBARS(thiobarbituric acid reactive substance) in kidney were increased by 207, 129% and 72% in DM-0E and DM-400E groups respectively when compared with normal group but those of DM-40E and DM-400E groups were 26,44% lower than that of DM-0E groups. It is know that the activities of MFO system and lipid peroxidation were inhibited in kidney of STZ-induced diabetic rat by administeration of high doses of vitamin E.(Korean J Nutrition 33(6) : 619~624, 2000)

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THAINE'S THEOREM IN FUNCTION FIELD

  • Jung, Hwanyup
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.1
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    • pp.17-23
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    • 2009
  • Let F be a finite real abelian extension of a global function field k with G = Gal(F/k). Assume that F is an extension field of the Hilbert class field $K_e$ of k and is contained in a cyclotomic function field $K_n$. Let $\ell$ be any prime number not dividing $ph_k{\mid}G{\mid}$. In this paper, we show that if $\theta{\in}\mathbb{Z}[G]$ annihilates the Sylow $\ell$-subgroup of ${\mathcal{O}}^{\times}_F/{\mathcal{C}}_F$, then (q-1)$\theta$ annihilates the Sylow $\ell$-subgroup of ${\mathcal{Cl}}_F$.

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