• 제목/요약/키워드: T-1

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ON THE OSCILLATION OF CERTAIN FUNCTIONAL DIFFERENTIAL EQUATIONS

  • Agarwal, Ravi-P.;Grace, S.R.;Dontha, S.
    • 대한수학회논문집
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    • 제19권2호
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    • pp.307-319
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    • 2004
  • In this paper, we establish some new oscillation criteria for the functional differential equations of the form $\frac{d}{dt}$$\frac{1}{a_{n-1}(t)}$$\frac{d}{dt}(\frac{1}{{a_{n-2}(t)}\frac{d}{dt}(...(\frac{1}{a_1(t)}\frac{d}{dt}x(t))...)))^\alpha$ + $\delta[f_1(t,s[g_1(t)],\frac{d}{dt}x[h_1(t)])$ + $f_2(t,x[g_2(t)],\frac{d}{dt}x[h_2(t)])]=0$ via comparing it with some other functional differential equations whose oscillatory behavior is known.

한우 미경산우 임신 단계가 채식행동에 미치는 영향 (Effects of Pregnancy Stage on Eating Behaviors of Hanwoo Heifers (Bos taurus coreanae))

  • 변병현;이재훈;이상무
    • 한국초지조사료학회지
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    • 제36권1호
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    • pp.41-49
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    • 2016
  • 본 연구는 한우 암소의 임신 단계에 따른 채식 및 반추 행동에 미치는 영향을 규명하기 위하여 실시하였다. 실험에 사용한 공시한우는 미경산 육성우(C), 미경산 임신 3개월령(T1), 미경산 임신 6개월령(T2) 그리고 미경산 임신 9개월령(T3)을 각각 3두씩, 총 12두를 4처리 3반복으로 배치하였다. 그리고 사료급여는 배합사료 체중의 1%, 조사료는 자유 채식시킨 후 육안으로 48시간 행동관찰을 실시하였다. 조사료 섭취량은 T3구(3.68 kg)에서 가장 높았던 반면, C구(1.02 kg)가 가장 낮게 나타났다(p<0.05). 총사료 섭취량은 T3 > T2 > T1 > C구 순으로 높게 나타났다(p<0.05). 또한 체중 대비 건물 채식량 역시 T3 > T2 > T1 > C구 순으로 높게 나타났다(p<0.05). 채식시간, 반추시간 및 저작시간은 유의적으로 T3구에서 높게 나타났으며(p<0.05), 휴식시간은 C구에서 높게 나타났다(p<0.05). 식괴수와 총 저작수는 다른 처리구에 비하여 T3구가 유의적으로 높게 나타났다(p<0.05). 그러나 식괴수 당 반추시간은 처리구들 간에 유의적인 차이를 보이지 않았다. 식괴 당 저작수는 C > T1 > T3 > T2구 순으로 높게 나타났다(p<0.05). 분 당 식괴수는 처리구들 간에 유의적인 차이를 보이지 않았다. 음수 회수 및 배분 회수는 각각 C, T1구에서 유의적으로 높게 나타났다(p<0.05). 그러나 배뇨 회수는 임신기간에 따라 유의적인 차이를 보이지 않았다. 채식율과 저작 효율은 임신기간이 진전됨에 따라 유의적으로 높게(p<0.05) 나타났다. 반추 효율은 T1구가 다른 처리구들에 비하여 높게 나타났다(p<0.05).

ASYMPTOTIC PROPERTY OF PERTURBED NONLINEAR SYSTEMS

  • Im, Dong Man;Choi, Sang Il;Goo, Yoon Hoe
    • 충청수학회지
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    • 제30권1호
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    • pp.103-116
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    • 2017
  • In this paper, we show that the solutions to perturbed differential system $$y^{\prime}=f(t,y)+{{\displaystyle\smashmargin{2}{\int\nolimits_{t_0}}^{t}}g(s,y(s),T_1y(s))ds+h(t,y(t),T_2y(t))$$ have asymptotic property by imposing conditions on the perturbed part ${\int_{t_0}^{t}}g(s,y(s),T_1y(s))ds,h(t,y(t),T_2y(t))$, and on the fundamental matrix of the unperturbed system y' = f(t, y).

POSITIVE SOLUTION FOR SYSTEMS OF NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS ON TIME SCALES

  • Miao, Chunmei;Ji, Dehong;Zhao, Junfang;Ge, Weigao;Zhang, Jiani
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권4호
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    • pp.327-344
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    • 2009
  • In this paper, we deal with the following system of nonlinear singular boundary value problems(BVPs) on time scale $\mathbb{T}$ $$\{{{{{{x^{\bigtriangleup\bigtriangleup}(t)+f(t,\;y(t))=0,\;t{\in}(a,\;b)_{\mathbb{T}},}\atop{y^{\bigtriangleup\bigtriangleup}(t)+g(t,\;x(t))=0,\;t{\in}(a,\;b)_{\mathbb{T}},}}\atop{\alpha_1x(a)-\beta_1x^{\bigtriangleup}(a)=\gamma_1x(\sigma(b))+\delta_1x^{\bigtriangleup}(\sigma(b))=0,}}\atop{\alpha_2y(a)-\beta_2y^{\bigtriangleup}(a)=\gamma_2y(\sigma(b))+\delta_2y^{\bigtriangleup}(\sigma(b))=0,}}$$ where $\alpha_i$, $\beta_i$, $\gamma_i\;{\geq}\;0$ and $\rho_i=\alpha_i\gamma_i(\sigma(b)-a)+\alpha_i\delta_i+\gamma_i\beta_i$ > 0(i = 1, 2), f(t, y) may be singular at t = a, y = 0, and g(t, x) may be singular at t = a. The arguments are based upon a fixed-point theorem for mappings that are decreasing with respect to a cone. We also obtain the analogous existence results for the related nonlinear systems $x^{\bigtriangledown\bigtriangledown}(t)$ + f(t, y(t)) = 0, $y^{\bigtriangledown\bigtriangledown}(t)$ + g(t, x(t)) = 0, $x^{\bigtriangleup\bigtriangledown}(t)$ + f(t, y(t)) = 0, $y^{\bigtriangleup\bigtriangledown}(t)$ + g(t, x(t)) = 0, and $x^{\bigtriangledown\bigtriangleup}(t)$ + f(t, y(t)) = 0, $y^{\bigtriangledown\bigtriangleup}(t)$ + g(t, x(t)) = 0 satisfying similar boundary conditions.

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수종 한약 복합물의 역형성갑상선암세포 SNU-80에 대한 항암효과 (Antineoplastic Effect of Several Herbal Medicine Mixtures on SNU-80 Anaplastic Thyroid Carcinoma Cell Line)

  • 여현수;이민혜;최유경;전찬용;박종형
    • 대한한방내과학회지
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    • 제35권4호
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    • pp.416-427
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    • 2014
  • Objectives: The purpose of this study was to investigate the antineoplastic effect of several herbal medicine mixtures (compositions of Astragalus membranaceu, Angelica gigas, Trichosanthes kirilowii, Panax ginseng, Rhus verniciflua Stokes) on the SNU-80 anaplastic thyroid carcinoma cell line. Methods: MTT assay was used to examine whether our herbal medicine mixtures decreased cell growth rate of SNU-80. Wound healing assay and Transwell invasion assay was performed to investigate whether our herbal medicine mixtures affect the migration and invasion of anaplastic cancer cells, SNU-80. ELISA assay was performed to know if our herbal medicine mixtures suppressed the expression of pro-invasive molecules, such as vascular endothelial growth factor (VEGF) and matrix metalloproteinase-2 (MMP-2) secreted from SNU-80. Results: MTT assay demonstrated that A. membranaceus:A. gigas:T. kirilowii=1:1:1 or 3:1:1, A. membranaceus:A. gigas :T. kirilowii:P. ginseng=1:1:1:1 or 3:1:1:1, A. membranaceus:A. gigas:T. kirilowii:P. ginseng:R. verniciflua Stokes=1:1:1:1:1 or 3:1:1:1:1 strongly suppressed the growth of SNU-80. Wound healing assay demonstrated that A. membranaceus:A. gigas=3:1, A. membranaceus:A. gigas:T. kirilowii=1:1:1 or 3:1:1, A. membranaceus:A. gigas:T. kirilowii:P. ginseng=1:1:1:1 or 3:1:1:1, A. membranaceus:A. gigas:T. kirilowii:P. ginseng:R. verniciflua Stokes=1:1:1:1:1 or 3:1:1:1:1 inhibited the migration of SNU-80. Transwell invasion assay demonstrated that A. membranaceus:A. gigas=1:1, A. membranaceus:A. gigas:T. kirilowii =1:1:1 or 3:1:1, A. membranaceus:A. gigas:T. kirilowii:P. ginseng=1:1:1:1, A. membranaceus:A. gigas:T. kirilowii:P. ginseng :R. verniciflua Stokes=1:1:1:1:1 or 3:1:1:1:1 inhibited the invasion of SNU-80. ELISA assay demonstrated that A. membranaceus :A. gigas:T. kirilowii=1:1:1 or 3:1:1, A. membranaceus:A. gigas:T. kirilowii:P. ginseng:R. verniciflua Stokes=1:1:1:1:1 suppressed the expression of VEGF. Also, A. membranaceus:A. gigas=1:1, A. membranaceus:A. gigas:T. kirilowii=1:1:1 or 3:1:1, A. membranaceus :A. gigas:T. kirilowii:P. ginseng=1:1:1:1 or 3:1:1:1, A. membranaceus:A. gigas:T. kirilowii:P. ginseng:R. verniciflua Stokes =1:1:1:1:1 or 3:1:1:1:1 suppressed the expression of MMP-2. Conclusions: The results obtained in this study suggest that several herbal medicine mixtures suppresse the growth and inhibit the migration and invasion of SNU-80, which is anaplastic thyroid cancer cells. Especially, A. membranaceus:A. gigas: T. kirilowii=1:1:1 mixture had a stronger anti-cancer effect.

우모를 이용한 taurine 강화 계란 생산

  • 이승민;임희석;백인기
    • 한국가금학회:학술대회논문집
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    • 한국가금학회 2003년도 제20차 정기총회 및 학술발표회
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    • pp.119-120
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    • 2003
  • The experiments were conducted to investigate the effects of supplementary feather meal(FM) and its digest on the taurine content and performance of laying hens. Feeding trial was conducted with 810 78-wk-old ISA-Brown layers for 5wk. The experiment consisted of nine dietary treatments ; T1 ; control(basal diet), T2;Tl + feather meal(FM) 6 % diet, T3;T2 + pyridoxin(21 mg/kg) supplemented diet, T4; T1 + H$_2$O$_2$treated FM 6%, T5; T4 + pyridoxin(21 mg/kg) supplemented diet, T6; T1 + cystine(0.25 %) supplemented diet, T7; T6 + pyridoxin(21 mg/kg) supplemented diet, T8; T1 + synthetic taurine supplemented(0.25%) diet, T9; T1 + synthetic taurine supplemented(0.5 %) diet. Diets were formulated to be iso-caloric and to meet NRC(1994) requirements of essential nutriente. Birds in treatments T3 showed significantly higher(P<0.01) egg production, feed intake, feed conversion ratio, egg weight, haugh unit and eggshell strength than those fed other treatments. Supplementation of FM. H$_2$O$_2$treated FM and cystine with or without pyridoxin did not significantly affected taurine content of egg yolk. Only synthetic taurine supplemented diets(T8 and T9) linearly increased(P<0.01) taurine content of egg yolk.

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인간 Glucagon-like Peptide-1 변이체의 재조합 생산 (Recombinant production of human glucagon-like peptide-1 mutant)

  • 김성건;박종태
    • 농업과학연구
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    • 제41권3호
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    • pp.237-243
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    • 2014
  • Human Glucagon like peptide-1 (GLP-1) is an incretin hormone that promotes secretion of insulin. In order to eliminate the formation of the soluble aggregate, Ala19 in GLP-1 was substituted with Thr, resulting in a GLP-1 mutant GLP-1A19T. The gene synthesis of GLP-1A19T and the fusion of 6-lysine tagged ubiquitin gene were accomplished by using the overlap extension polymerase chain reaction. The ubiquitin fused GLP-1A19T (K6UbGLP-1A19T) is expressed as form of inclusion body with little formation of the soluble aggregation in recombinant E. coli. In order to produce K6UbGLP-1A19T in large amounts, fed-batch fermentation was carried out in a pH-stat feeding strategy. Maximum dry cell weight of 87.7 g/L and 20.4% of specific K6UbGLP-1A19T content were obtained. Solid-phase refolding using a cation exchanger was carried out to renature K6UbGLP-1A19T. The refolded K6UbGLP-1A19T aggregated little and was released GLP-1A19T by on-column cleavage with ubiquitin-specific protease-1. The molecular mass of GLP-1A19T showed an accurate agreement with its theoretical molecular mass.

OSCILLATION THEOREMS FOR SECOND-ORDER MIXED-TYPE NEUTRAL DYNAMIC EQUATIONS ON SOME TIME SCALES

  • Sun, Jing
    • Journal of applied mathematics & informatics
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    • 제30권1_2호
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    • pp.15-26
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    • 2012
  • Some oscillation results are presented for the second-order neutral dynamic equation of mixed type on a time scale unbounded above $$\(r(t)[x(t)+p_1(t)x(t-{\tau}_1)+p_2(t)x(t+{\tau}_2)]^{\Delta}\)^{\Delta}+q_1(t)x(t-{\tau}_3)+q_2(t)x(t+{\tau}_4)=0.$$ These criteria can be applied when $\mathbb{T}=\mathbb{R}$, $\mathbb{T}=h{\mathbb{Z}}$ and $\mathbb{T}=\mathbb{P}_{a,b}$. Two examples are also provided to illustrate the main results.

RICCATI TRANSFORMATION AND SUBLINEAR OSCILLATION FOR SECOND ORDER NEUTRAL DELAY DYNAMIC EQUATIONS

  • Tripathy, Arun Kumar
    • Journal of applied mathematics & informatics
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    • 제30권5_6호
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    • pp.1005-1021
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    • 2012
  • This work is concerned with oscillation of the second order sublinear neutral delay dynamic equations of the form $$\(r(t)\;\((y(t)+p(t)y(a(t)))^{\Delta}\)^{\gamma}\)^{\Delta}+q(t)y^{\gamma}({\beta}(t))=0$$ on a time scale $\mathcal{T}$ by means of Riccati transformation technique, under the assumptions $\int^{\infty}_{t_0}\(\frac{1}{r(t)}\)^{\frac{1}{\gamma}}$ ${\Delta}t={\infty}$ and $\int^{\infty}_{t_0}\(\frac{1}{r(t)}\)^{\frac{1}{\gamma}}$ ${\Delta}t$ < ${\infty}$, where 0 < ${\gamma}{\leq}1$ is a quotient of odd positive integers.

ZnO의 과잉첨가가 Ba(${Zn}_{1/3}{Ta}_{2/3}$)$O_3$세라믹스의 마이크로파 유전특성에 미치는 영향 (Effect of Excess ZnO on Microwave Dielectric Characteristics of Ba(${Zn}_{1/3}{Ta}_{2/3}$)$O_3$ Ceramics)

  • 이두희;윤석진;박창엽
    • 대한전기학회논문지
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    • 제43권4호
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    • pp.613-619
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    • 1994
  • Dielectric properties of Ba(ZnS11/3TTaS12/3T)OS13T+x ZnO(x=0, 0.4, 0.8, 1.0 wt%) ceramics have been investigated at microwave frequencies. With excess ZnO, the sinterability was improved and the dielectric constant($\varepsilon$S1rT) and the unloaded quality factor(QS1UT) were increased. The structure changed into hexagonal from pseudocubic as being annealed at 140$0^{\circ}C$ in excess ZnO composition. Also, the temperature coefficient of the resonant frequency ($\tau$S1fT) turned into (-)ppm/$^{\circ}C$ when sintered at 155$0^{\circ}C$ for 2 hours. But the specimen sintered in ZnO muffling showed increased density and $\varepsilon$S1rT but lowerde QS1uT. Among the specimen investigated, expecially the composition added with 0.4wt% excess ZnO showed the most optimum dielectric values ($\varepsilon$S1rT=28, QS1uT x f=120000GHz) better than those of original Ba(ZnS11/2T TaS12/3T)OS13T ceramics.

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