• 제목/요약/키워드: Higher-order Derivatives

검색결과 103건 처리시간 0.021초

Structure and Properties of Polynorbornene Derivatives: Poly(norbornene dicarboxylic acid dialkyl ester)s and Poly(norbornene dimethyl dicarboxylate)s

  • Shin, Boo-Gyo;Cho, Tai-Yon;Yoon, Do-Y.;Liu, Binyuan
    • Macromolecular Research
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    • 제15권2호
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    • pp.185-190
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    • 2007
  • Poly(norbornene dimethyl dicarboxylate)s, (PNDMD)s, were prepared by addition polymerization with palladium(II) catalyst from pure exo-monomers, and their structure and properties were compared with those of poly(norbornene dicarboxylic acid dialkyl ester)s, (PNDADA)s. Both polymer series exhibited good solubility in general organic solvents and excellent thermal stability up to $330^{\circ}C$. Wide-angle X-ray scattering (WAXS) study indicated the presence of nano-scale layer-like order in amorphous PNDADAs, while PNDMDs showed random amorphous structure. The glass transition temperatures and dielectric constants of solid polymers were found to decrease as the alkyl side-chain length increases for both polymer series. However, PNDMDs showed lower glass transition temperatures and higher dielectric constants, as compared with those of PNDADAs containing the same alkyl substituents. This difference, caused by the higher side-group mobility of PNDMDs, may be closely related to the nano-scale order in amorphous PNDADAs and its absence in PNDMDs.

Sulfanilamide유도체의 동(II)착화합물에 대한 생물약제학적 연구 (Biopharmaceutical studies on copper(II) chelates of sulfanilamide derivatives)

  • 김재백
    • 약학회지
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    • 제15권2호
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    • pp.41-52
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    • 1971
  • Cu(II) chelates of several sulfanilamide derivatives (Sulfa-Cu) were prepared and their effects on solubility, absorptivity in intestinal lumen, biding tendency with serum protein and erythrocytes, concentration in rabbit blood, and acetylation rate were studied in comparison with their free ligand forms. For solubility concerned, the partition coefficients of Sulfa-Cu are decreased as following order: Sulfadimethoxine Copper chelate (SDM-Cu), Sulfamethoxypyridazine Copper chelate (SD-Cu), Sulfamerazine Copper chelate (SM-Cu), Sulfaisoxazole Copper chelate (SIX-Cu). The partition coefficients of SDM-Cu and ST-Cu were much greater than those of ligands. this phenomenone acounts for the rapid absorption of SDM-Cu and ST-Cu in the rat small intestine (in situ). The Sulfa-Cu were absorbed at the intestinal lumen of a rat in the rate of first order and there was no difference between long acting sulfa drugs and their Cu0chelates in biological half lives. In binding experiments, sulfa-Cu binded with serum protein in lower ratio than their ligands except SIX-Cu. On other hand, acetylation rates of sulfa-Cu were higher than those of free sulfa drugs and the acetylation rate were higher than those of free sulfa drugs and powder. In a experiment on Sulfa-Cu concentration in rabbit blood, the half lives of SD-Cu, SIX-cu, ST-Cu, and SM-Cu were longer than those of their ligands. Above all, the half life of SD-Cu appeared to be approximately 3.5 times logner than that of corresponding ligand, SD. When absorption of sulfa drugs or sulfa-Cu at the small intestinal lumen of a rat and the concentration in rabbit blood after absorption were compared, it was found that there was not always conrrelated.

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Synthesis, Antitubercular Activity and Pharmacokinetic Studies of Some Schiff Bases Derived from 1-Alkylisatin and Isonicotinic Acid Hydrazide (INH)

  • Tarek, Aboul-Fadl;Mohammed, Faragany Abdel-Hamid;Hassan, Ehsan Abdel-Saboor
    • Archives of Pharmacal Research
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    • 제26권10호
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    • pp.778-784
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    • 2003
  • N'-(1-alkyl-2,3-dihydro-2-oxo-1H-3-indolyliden)-4-pyridinecarboxylic acid hydrazide derivatives, 3(a-g), were synthesized in a trial to overcome the resistance developed with the therapeutic uses of isoniazid (INH). The lipophilicity of the synthesized derivatives supersedes that of the INH as expressed by Clog p values. The synthesized compounds and INH were tested against bovin, human sensitive and human resist strains of Mycobacterium tuberculosis. Compounds 3a, 3d, 3f and 3g with 1-unsubstituted, 1-propyl, 1-propynyl and 1-benzyl groups respectively exhibited equipotent growth inhibitory activity (MIC 10 $\mu$mol) against the tested strains as compared with INH however the later has no activity against human resist strain. Pharmacokinetic study revealed that the rate and extent of absorption of the tested derivatives (3d and 3f) significantly higher than that of INH (p<0.05). The relative bioavailabilities ($F_R%$) were 183.15 and 443.25 for 3f and 3d respectively as compared to INH. These results preliminary indicate the possible use of the prepared derivatives for treatment of tuberculosis infections in order to overcome the resistance developed with INH.

SOLUTIONS OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR HIGHER-ORDER DIFFERENTIAL EQUATIONS

  • Liu, Yuji
    • Journal of applied mathematics & informatics
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    • 제24권1_2호
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    • pp.231-243
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    • 2007
  • The existence of solutions of a class of two-point boundary value problems for higher order differential equations is studied. Sufficient conditions for the existence of at least one solution are established. It is of interest that the nonlinearity f in the equation depends on all lower derivatives, and the growth conditions imposed on f are allowed to be super-linear (the degrees of phases variables are allowed to be greater than 1 if it is a polynomial). The results are different from known ones since we don't apply the Green's functions of the corresponding problem and the method to obtain a priori bound of solutions are different enough from known ones. Examples that can not be solved by known results are given to illustrate our theorems.

Feedforward actuator controller development using the backward-difference method for real-time hybrid simulation

  • Phillips, Brian M.;Takada, Shuta;Spencer, B.F. Jr.;Fujino, Yozo
    • Smart Structures and Systems
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    • 제14권6호
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    • pp.1081-1103
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    • 2014
  • Real-time hybrid simulation (RTHS) has emerged as an important tool for testing large and complex structures with a focus on rate-dependent specimen behavior. Due to the real-time constraints, accurate dynamic control of servo-hydraulic actuators is required. These actuators are necessary to realize the desired displacements of the specimen, however they introduce unwanted dynamics into the RTHS loop. Model-based actuator control strategies are based on linearized models of the servo-hydraulic system, where the controller is taken as the model inverse to effectively cancel out the servo-hydraulic dynamics (i.e., model-based feedforward control). An accurate model of a servo-hydraulic system generally contains more poles than zeros, leading to an improper inverse (i.e., more zeros than poles). Rather than introduce additional poles to create a proper inverse controller, the higher order derivatives necessary for implementing the improper inverse can be calculated from available information. The backward-difference method is proposed as an alternative to discretize an improper continuous time model for use as a feedforward controller in RTHS. This method is flexible in that derivatives of any order can be explicitly calculated such that controllers can be developed for models of any order. Using model-based feedforward control with the backward-difference method, accurate actuator control and stable RTHS are demonstrated using a nine-story steel building model implemented with an MR damper.

5-Nitro-2-furfurylidend sulfanilamide류의 합성과 항균작용에 관한 연구 (Studies on the Synthesis and Antibacterial Activity of 5-Nitro-2 -furfurylidene Sulfanilamides)

  • 박정섭
    • 미생물학회지
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    • 제12권2호
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    • pp.77-84
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    • 1974
  • In order to study 5-nitro-2-furaldehyde derivatives having more effective antibacterial activity, four new $N^4$-(5-nitro-2-furfurylidene)-$N^1$-substituted sulfanilamides$N^1$-3,4-dimethyl-5-isoxazoyl-$N^4$-5-nitro-2-furfurylidene sulfanilamide, $N^1$-4,6-dimethyl-2-pyrimidyl-$N^4$-5-isoxazoyl-$N^4$-5-nitro-2-furfurylidene sulfanilamide, $N^1$-6-methoxy-3-pyridazinyl-$N^4$-5-nitro-2-furaldehyde with sulfa drugs such as sulfisoxazole, sulfamethazine, sulfamethoxypyridazine, and sulfadimethoxine. All compounds were tested for antibacterial activity in vitro on the following micro-organisms : Staphylococcus aureus, Bacillus subtilis, Escherichia coli, and Proteus vulgaris. Each compound exhibited a fair bacteriostatic activity against each microorganism. Above all, sulfisoxazole derivatives showed higher activity than the others. Each compound was most active against Staphylococcus aureus, whereas least active against proteus vulgaris.

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Development and Structural-Activity Relationship of New Local Anti-inflammatory Steroid, Prednisolone Derivatives I. Binding Affinities to Rat Liver Glucocorticoid Receptor

  • Kim, Hyun-Pyo;Lee, Jong-Wook;Kim, Hack-Joo;Byun, Si-Myung;Lee, Henry-J
    • Archives of Pharmacal Research
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    • 제10권3호
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    • pp.184-187
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    • 1987
  • ln order to develope anti-inflammatory glucocorticoids for local use without systemic side-effects, ester and amide derivatives of 20$\xi$-dihydroprednisolonic acid have been prepared. When binding affinities of these compounds to glucocorticoid receptor of rat liver cytosol were compared, all a-isomer at C-20 showed higher binding affinities than the corres¬ponding $\beta$-isomer. The size of the substituents at C-21 had significant influences on binding affinities, which were related with their lipophilicity.

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REPRODUCING KERNEL METHOD FOR SOLVING TENTH-ORDER BOUNDARY VALUE PROBLEMS

  • Geng, Fazhan;Cui, Minggen
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.813-821
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    • 2010
  • In this paper, the tenth-order linear boundary value problems are solved using reproducing kernel method. The algorithm developed approximates the solutions, and their higher-order derivatives, of differential equations and it avoids the complexity provided by other numerical approaches. First a new reproducing kernel space is constructed to solve this class of tenth-order linear boundary value problems; then the approximate solutions of such problems are given in the form of series using the present method. Three examples compared with those considered by Siddiqi, Twizell and Akram [S.S. Siddiqi, E.H. Twizell, Spline solutions of linear tenth order boundary value problems, Int. J. Comput. Math. 68 (1998) 345-362; S.S.Siddiqi, G.Akram, Solutions of tenth-order boundary value problems using eleventh degree spline, Applied Mathematics and Computation 185 (1)(2007) 115-127] show that the method developed in this paper is more efficient.

몇 가지 벼품종 현미층위별 항산화 물질의 함량 평가 (Evaluation on the Contents of Antioxidative Substance at the Different Layers in Several Rice Varieties)

  • 곽태순
    • 한국자원식물학회지
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    • 제11권3호
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    • pp.257-263
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    • 1998
  • Fifteen varieties of Oryza sativa mainly includig those of Korean native rice were exactly cutted into three layers such as L$_1$ layer (the outer part of 90% from rice center), L$_2$ layer(the part of 81 ~ 91% from the rice center) and L$_3$ layer(the inner part of 80% from the rice center) and ferulic acid derivatives, which play an important role of antioxidative action, were quantitiavely analyzed by UV absorption spectrometric method at fixed 314nm. From this experiment, it was found that the more it enters from the surface into the rice center, the more those secondary metabolites contents were highly reduced. The varieties showing contents more than 20 mg/g were as follows: Hwasunchalbyeo(25.8mg/g), Jojeongdo(24.1mg/g), Suwon425(21.2mg/g), Daigolbyeo(20.6mg/g) and Nonglimna 1(20.2mg/g) by this order. Estimation onthe anthocyanin contents of both Suwon 425 and Sanghehanghyeolna revealed that its total. contents were very exactly close each other. However, it was charateristically differentiated in the contents of L$_2$ layer with respect to showing a considerably higher content of Suwon 425 than of Sanghaehanghyeolna. Conclusively, the selected Suwon 425 variety, which is coloured and flavour volatile one, showed relatively higher contents of anthocyanin, ferulic acid derivatives in the L$_2$ layer as well as L$_1$ layer when compared with Sanghaehangyeolna and even other varieties. This fact suggested that Suwon 425 could be a promising candidate for the development of health rice food.

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A SCHWARZ METHOD FOR FOURTH-ORDER SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEM WITH DISCONTINUOUS SOURCE TERM

  • CHANDR, M.;SHANTHI, V.
    • Journal of applied mathematics & informatics
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    • 제34권5_6호
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    • pp.495-508
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    • 2016
  • A singularly perturbed reaction-diffusion fourth-order ordinary differential equation(ODE) with discontinuous source term is considered. Due to the discontinuity, interior layers also exist. The considered problem is converted into a system of weakly coupled system of two second-order ODEs, one without parameter and another with parameter ε multiplying highest derivatives and suitable boundary conditions. In this paper a computational method for solving this system is presented. A zero-order asymptotic approximation expansion is applied in the second equation. Then, the resulting equation is solved by the numerical method which is constructed. This involves non-overlapping Schwarz method using Shishkin mesh. The computation shows quick convergence and results presented numerically support the theoretical results.