• 제목/요약/키워드: H-matrices

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Drug Release by Poly(DL-lactide) Coated Chitosan Derivatives Matrices (Poly(DL-lactide)로 피막된 키토산 유도체 매트릭스에서의 약물방출)

  • 차월석;나재운이동병
    • KSBB Journal
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    • v.10 no.4
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    • pp.461-467
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    • 1995
  • In this study, the release experiments of drug were operated in the phosphate buffer solutions of pH 7.4 and pH 1.2 by using drug carriers(chitosan, chitosan hydrochloride, and sulfonated chitosan)coated by poly(DL-lactide) with prednisolone for delivery drug. The release time of drug was more delayed in pH 7.4 than in pH 1.2. The release time of according to the kinds of drug carrier was delayed in the order of chitosan, sulfonated chitosan, and chitosan hydrochloride. In short, the formulation allows biodegradable coated monolithic polymetic matrices to suppress the burst effect of the drug release mechanism, which led to the sustained release pattern.

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LMI-based Design of PI-type H∞ Controller for Poly topic Models (폴리토픽 모델을 위한 PI 형 H∞ 제어기의 LMI 기반 설계)

  • Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.3
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    • pp.255-257
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    • 2009
  • The robust stabilization problem of a multivariable uncertain system with a polytopic model is considered. A PI-type $H_{\infty}$ controller with a low pass filter is used for robust stabilization and noise rejection. The problem is reduced to an LMI optimization problem. A sufficient condition for the existence of the PI controller is derived in terms of LMIs. The PI gain matrices are parameterized by using the solution matrices to the existence conditions. Finally, a numerical design example is given.

A Delay-Dependent Approach to Robust Filtering for LPV Systems with Discrete and Distributed Delays using PPDQ Functions

  • Karimi Hamid Reza;Lohmann Boris;Buskens Christof
    • International Journal of Control, Automation, and Systems
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    • v.5 no.2
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    • pp.170-183
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    • 2007
  • This paper presents a delay-dependent approach to robust filtering for linear parameter-varying (LPV) systems with discrete and distributed time-invariant delays in the states and outputs. It is assumed that the state-space matrices affinely depend on parameters that are measurable in real-time. Some new parameter-dependent delay-dependent stability conditions are established in terms of linear matrix inequalities (LMIs) such that the filtering process remains asymptotically stable and satisfies a prescribed $H_{\infty}$ performance level. Using polynomially parameter-dependent quadratic (PPDQ) functions and some Lagrange multiplier matrices, we establish the parameter-independent delay-dependent conditions with high precision under which the desired robust $H_{\infty}$ filters exist and derive the explicit expression of these filters. A numerical example is provided to demonstrate the validity of the proposed design approach.

In Vitro Percutaneous Absorption of Tenoxicam from Pressure-sensitive Adhesive Matrices across the Hairless Mouse Skin

  • Gwak, Hye-Sun;Chun, In-Koo
    • Archives of Pharmacal Research
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    • v.24 no.6
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    • pp.578-583
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    • 2001
  • To investigate the feasibility of developing a new tenoxicam plaster, the effects of vehicles and penetration enhancers on the in vitro permeation of tenoxicam from a pressure-sensititre adhesive (PSA) matrices across the dorsal hairless mouse skin were studied. Vehicles employed in this study were propylene glycol (PC)-oleyl alcohol (OAI), PG-oleic acid (OA), and diethylene glycol monoethyl ether (DCMI)-propylene glycol monolaurate (PCML) cosolvents with/without fatty acids. In this studys amines such as triethanolamine (TEA) and tromethamine (TM) were additionally used as a solubilized. Among PSAs used, $Duro-Tak^{\circledR}$87-2510 showed much higher release rate than either $Duro-Tak^{\circledR}$ 87-2100 or $Duro-Tak^{\circledR}$87-2196. The relatively high flux rate was obtained with the formulation of DCMI-PCML (40:60, v/v) with 3% OA and 5% TM, and the flux increased as a function of the dose;the initial flux up to 12 h was $4.98{\pm}1.38{\;}{\mu\textrm{g}}/{\textrm{cm}^2}/h$ at the tenoxicam dose of $50{\;} mg/70{\;}{\textrm{cm}^2}$. This flux was much higher than that of a commercial piroxicam patch ($Trast^{\circledR}$) ($1.24{\pm}0.73{\;}{\mu\textrm{g}}/$\textrm{cm}^2/hr$) with almost only one-third that of the commercial patch. Therefore, these observations indicated that these composition of tenoxicam plaster may be practically applicable.

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Velocity and Flow Friction Characteristic of Working Fluid in Stirling Engine Regenerator (II) - Flow Friction Characteristic of Working Fluid in Stirling Engine Regenerator - (스털링기관 재생기내의 작동유체 유속 및 마찰저항 특성(II) - 작동유체 유동마찰저항 특성 -)

  • Kim, T.H.;Choi, C.R.
    • Journal of Biosystems Engineering
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    • v.33 no.1
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    • pp.1-6
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    • 2008
  • The output of the Stirling engine is influenced by the regenerator effectiveness. The regenerator effectiveness is influenced by heat transfer and flow friction loss of the regenerator matrix. In this paper, in order to provide basic data for the design of regenerator matrix, characteristics of flow friction loss were investigated by a packed method of matrix in the oscillating flow as the same condition of operation in a Stirling engine. As matrices, two different wire screens were used. The results are summarized as follows; 1. With the wire screen of No. 50 as regenerator matrices, pressure drop of working fluid of the oscillating flow is shown as 3 times higher than that of one directional flow, not too much influenced by the number of packed meshes. 2. With the wire screen of No. 100 as regenerator matrices, pressure drop of working fluid of the oscillating flow is shown as 2.5 times on the average higher than that of one directional flow, not too much influenced by the number of packed meshes. 3. Under one directional flow which used regenerator matrices with both 200, 240, and 280 wire screens of No. 50 and 320, 370, and 420 wire screens of No. 100, the relationship between the friction factor and Reynold No. is shown as the following formula. $$f=\frac{0.00326639}{Re\iota}-1.29106{\times}10^{-4}$$ 4. Under oscillating flow which used regenerator matrices with both 200, 240, and 280 wire screens of No. 50 and 320, 370, and 420 wire screens of No. 100, the relationship between the friction factor and Reynold No. is shown as the following formula. $$f_r=\frac{0.000918567}{Re\iota}+1.86101{\times}10^{-5}$$ 5. The pressure drop is shown as high in proportion as the number of meshes has been higher, and the number of packed wire screens as matrices increases.

The multidimensional subsampling of reverse jacket matrix of wighted hadamard transform for IMT2000 (IMT2000을 위한 하중 hadamard 변환의 다차원 reverse jacket 매트릭스의 서브샘플링)

  • 박주용;이문호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.11
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    • pp.2512-2520
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    • 1997
  • The classes of Reverse Jacket matrix [RJ]$_{N}$ and the corresponding Restclass Reverse Jacket matrix ([RRJ]$_{N}$) are defined;the main property of [RJ]$_{N}$ is that the inverse matrices of them can be obtained very easily and have a special structure. [RJ]$_{N}$ is derived from the weighted hadamard Transform corresponding to hadamard matrix [H]$_{N}$ and a basic symmertric matrix D. the classes of [RJ]$_{2}$ can be used as a generalize Quincunx subsampling matrix and serveral polygonal subsampling matrices. In this paper, we will present in particular the systematical block-wise extending-method for {RJ]$_{N}$. We have deduced a new orthorgonal matrix $M_{1}$.mem.[RRJ]$_{N}$ from a nonorthogonal matrix $M_{O}$.mem.[RJ]$_{N}$. These matrices can be used to develop efficient algorithms in IMT2000 signal processing, multidimensional subsampling, spectrum analyzers, and signal screamblers, as well as in speech and image signal processing.gnal processing.g.

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Closed form solutions for element equilibrium and flexibility matrices of eight node rectangular plate bending element using integrated force method

  • Dhananjaya, H.R.;Pandey, P.C.;Nagabhushanam, J.;Othamon, Ismail
    • Structural Engineering and Mechanics
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    • v.40 no.1
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    • pp.121-148
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    • 2011
  • Closed form solutions for equilibrium and flexibility matrices of the Mindlin-Reissner theory based eight-node rectangular plate bending element (MRP8) using Integrated Force Method (IFM) are presented in this paper. Though these closed form solutions of equilibrium and flexibility matrices are applicable to plate bending problems with square/rectangular boundaries, they reduce the computational time significantly and give more exact solutions. Presented closed form solutions are validated by solving large number of standard square/rectangular plate bending benchmark problems for deflections and moments and the results are compared with those of similar displacement-based eight-node quadrilateral plate bending elements available in the literature. The results are also compared with the exact solutions.

Hyperinvariant Subspaces for Some 2 × 2 Operator Matrices, II

  • Jung, Il Bong;Ko, Eungil;Pearcy, Carl
    • Kyungpook Mathematical Journal
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    • v.59 no.2
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    • pp.225-231
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    • 2019
  • In a previous paper, the authors of this paper studied $2{\times}2$ matrices in upper triangular form, whose entries are operators on Hilbert spaces, and in which the the (1, 1) entry has a nontrivial hyperinvariant subspace. We were able to show, in certain cases, that the $2{\times}2$ matrix itself has a nontrivial hyperinvariant subspace. This generalized two earlier nice theorems of H. J. Kim from 2011 and 2012, and made some progress toward a solution of a problem that has been open for 45 years. In this paper we continue our investigation of such $2{\times}2$ operator matrices, and we improve our earlier results, perhaps bringing us closer to the resolution of the long-standing open problem, as mentioned above.

HOMOGENEOUS CONDITIONS FOR STOCHASTIC TENSORS

  • Im, Bokhee;Smith, Jonathan D.H.
    • Communications of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.371-384
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    • 2022
  • Fix an integer n ≥ 1. Then the simplex Πn, Birkhoff polytope Ωn, and Latin square polytope Λn each yield projective geometries obtained by identifying antipodal points on a sphere bounding a ball centered at the barycenter of the polytope. We investigate conditions for homogeneous coordinates of points in the projective geometries to locate exact vertices of the respective polytopes, namely crisp distributions, permutation matrices, and quasigroups or Latin squares respectively. In the latter case, the homogeneous conditions form a crucial part of a recent projective-geometrical approach to the study of orthogonality of Latin squares. Coordinates based on the barycenter of Ωn are also suited to the analysis of generalized doubly stochastic matrices, observing that orthogonal matrices of this type form a subgroup of the orthogonal group.

Controlled Release of Tamsulosin from Enteric Coated Sustained-Release Matrices with Aqueous Microchannels (수성미세채널을 형성하는 서방성 매트릭스 장용정을 이용한 탐스로신의 방출제어)

  • Lee, Ki-Bong;Choi, Sung-Up;Jeon, Hong-Ryeol;Lee, Bong-Sang;Kim, Hyun-Il;Lee, Jae-Hwi;Choi, Young-Wook
    • Journal of Pharmaceutical Investigation
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    • v.34 no.6
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    • pp.471-475
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    • 2004
  • Tamsulosin has been frequently used for the treatment of benign prostatic hyperplasia. To avoid dose-dependent side effects of tamsulosin upon oral administration, the development of sustained-release delivery system is required, that can maintain therapeutic drug levels for a longer period of time. The aim of this study was therefore to formulate sustained-release tamsulosin matrix tablets and assess their formulation variables. We designed enteric coated sustained-release tamsulosin matrices to fulfill above statement. Aqueous microchannels in the enteric film need to be formed in order to obtain tamsulosin release even in an acidic environment such as gastric region. In the sustained-release tamsulosin matrix, low viscosity hydroxypropylmethylcellulose was used as a rate controller. Povidone K30 was also added to the matrices to facilitate water uptake so that a decrease in the release rate of tamsulosin as time elapses was prevented, possibly leading to pseudo zero-order release of the drug. The matrices were enteric-coated with hydroxypropylmethylcellulose phthalate (HPMCP), along with povidone K30 as an aqueous microchannel former. With the aqueous microchannels formed within the enteric film, tamsulosin could be released in an acidic condition. The release of tamsulosin decreased with increasing thickness of HPMCP membrane while the release rates of tamsulosin from those having different HPMCP thickness in pH 7.2 aqueous media were not considerably different, indicating that the enteric film was promptly dissolved at pH 7.2. These results clearly suggest that the sustained-release oral delivery system for tamsulosin could be designed with satisfying drug release profile approved by the KFDA.