• Title/Summary/Keyword: solution dynamics

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Coherent Two-Dimensional Optical Spectroscopy

  • Cho, Min-Haeng
    • Bulletin of the Korean Chemical Society
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    • v.27 no.12
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    • pp.1940-1960
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    • 2006
  • Theoretical descriptions of two-dimensional (2D) vibrational and electronic spectroscopy are presented. By using a coupled multi-chromophore model, some examples of 2D spectroscopic studies of peptide solution structure determination and excitation transfer process in electronically coupled multi-chromophore system are discussed. A few remarks on perspectives of this research area are given.

A DISCONTINUOUS GALERKIN METHOD FOR A MODEL OF POPULATION DYNAMICS

  • Kim, Mi-Young;Yin, Y.X.
    • Communications of the Korean Mathematical Society
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    • v.18 no.4
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    • pp.767-779
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    • 2003
  • We consider a model of population dynamics whose mortality function is unbounded. We approximate the solution of the model using a discontinuous Galerkin finite element for the age variable and a backward Euler for the time variable. We present several numerical examples. It is experimentally shown that the scheme converges at the rate of $h^{3/2}$ in the case of piecewise linear polynomial space.

Comparative Analysis of Policies to Vitalize Spectrum Sharing Ecosystem using System Dynamics (시스템 다이내믹스를 이용한 주파수 공유 생태계 활성화 정책대안 비교 분석 연구)

  • Song, Hee Seok;Kim, Jae Kyung;Kim, Taehan
    • Journal of Information Technology Applications and Management
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    • v.21 no.4_spc
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    • pp.431-447
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    • 2014
  • Demand of spectrum resource is tremendously increasing and this trend will continue as more IT services such as cloud computing, smart devices, Internet of Things are provided through wireless network. Recent development of spectrum sharing technology has drawn attention to spectrum policy makers as a promising way to overcome the expected spectrum shortage problem. However, technology-based solution to spectrum shortage problem may not be sustainable since the solution affect only one aspect of spectrum sharing ecosystem. To understand the whole picture of spectrum shortage problem, policies to vitalize spectrum sharing ecosystem were proposed based on the analysis of System Dynamics causal map in the previous study. This study compares and analyzes the effect of those proposed vitalization policies by using System Dynamics simulation. Among seven alternative policies, combined application of demand acceleration policy and technology development policy was found to be more effective for better utilization of spectrum. The effect of demand acceleration policy was offset when other policies are applied together except supply acceleration policy which shows better spectrum sharing.

Structure-Activity Relationships Study of Angiotensin Converting Enzyme Inhibitor Captopril Derivatives: Importance of Solution Moleculnr Dynamics Study (Angiotensin 변환 효소 억제제인 Captopril 유도체들의 구조와 활성관계 연구: 수용액상의 분자동력학적 연구의 중요성)

  • 지명환;윤창노;진창배;박종세
    • Biomolecules & Therapeutics
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    • v.2 no.1
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    • pp.34-38
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    • 1994
  • In order to investigate the structure-activity relationships of the stereoisomers of angiotensin converting enzyme inhibitors, captopril and its derivatives were selected as model compounds. In vitro enzymatic activities of them depend on the symmetry at the asymmetric carbons. Especially, the alanyl carbon should have the S configuration to be biologically active. But the demethylated captopril having the achiral carbon also shows the activity although it is less active than captopril. Seven stereoisomers of captopril and its derivatives were chosen and their acidic and ionic forms were used for molecular dynamics simulations. Four computer simulations were practiced for each model compound in order to obtain the good condition for simulation to explain the experimental structure-activity relationships. From the computer simulation results, relativistic movements of three well-known pharmacophoric sites, carboxylate carbon, carbonyl oxygen, and sulfur atoms, were analyzed. Good results were obtained from the aqueous solution molecular dynamics simulation with ionic forms of model compounds. Active model compounds have the pharmacophoric areas of 6.08 to 6.38 $\AA$$^2$and the similarity in the geometrical data. But inactive ones have the largely deviated values of 4.51 to 4.87 $\AA$$^2$from those of active ones.

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Dynamic Modeling of PIG Flow in Natural Gas Pipelines (천연가스배관내 피그흐름의 동적모델링)

  • Kim, Sang-Bong;Nguyen, Tan Tien;Yoo, Hui-Ryong;Rho, Yong-Woo
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.241-246
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    • 2001
  • This paper introduces modeling and solution for the dynamics of pipeline inspection gauge (PIG) flow in natural gas pipeline. Without of bypass flow, the dynamic behavior of the PIG depends on the different pressure between the rear and nose parts, which is generated by injected gas flow behind the tail of the PIG and expelled gas flow in front of its nose. With bypass flow, the PIG dynamics also depends on the amount of bypass flow across its body. The mathematical model are derived for unsteady compressible flow of the PIG driving and expelled gas, and for dynamics of the PIG. The bypass flow is assumed to be incompressible with the condition of its Mach number smaller than 0.45. The method of characteristic (MOC) and the Runge-Kutta method are used to solve the system governing equations. The simulation is performed with a pipeline segment in the Korea Gas Corporation (KOGAS) low pressure system, Ueijungboo-Sangye line. The simulation results show that the derived mathematical model and the proposed solution are effective for estimation the dynamics of the PIG with and without bypass flow under given operational condition.

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A study on the trajectory controllable minimum-time controller using modified bang-bang control law (뱅뱅 제어법을 변형한 중간 경로 제동이 가능한 최단시간 제어기의 개발)

  • 이현오;양우석
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.44-47
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    • 1996
  • Bang-bang control law provides the optimal solution for a minimum-time control problem, but ignores the intermediate path except for the initial and final points. In this paper, a near minimum-time suboptimal fuzzy logic controller is introduced that can control the intermediate path. A dynamic model for a system is established using the average dynamics method of linearization. System model is continuously updated over the control time periods. This makes it suitable for high speed or variable payload applications. Bang-bang control theory is modified and used to derive the preliminary control law. A fuzzy logic algorithm is then applied to adjust and find the best solution. The solution will provide the suboptimal minimum-time control law which can avoid obstacles in the workspace.

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Computation of dilute polymer solution flows using BCF-RBFN based method and domain decomposition technique

  • Tran, Canh-Dung;Phillips, David G.;Tran-Cong, Thanh
    • Korea-Australia Rheology Journal
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    • v.21 no.1
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    • pp.1-12
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    • 2009
  • This paper reports the suitability of a domain decomposition technique for the hybrid simulation of dilute polymer solution flows using Eulerian Brownian dynamics and Radial Basis Function Networks (RBFN) based methods. The Brownian Configuration Fields (BCF) and RBFN method incorporates the features of the BCF scheme (which render both closed form constitutive equations and a particle tracking process unnecessary) and a mesh-less method (which eliminates element-based discretisation of domains). However, when dealing with large scale problems, there appear several difficulties: the high computational time associated with the Stochastic Simulation Technique (SST), and the ill-condition of the system matrix associated with the RBFN. One way to overcome these disadvantages is to use parallel domain decomposition (DD) techniques. This approach makes the BCF-RBFN method more suitable for large scale problems.

SEMI-ANALYTICAL SOLUTION TO A COUPLED LINEAR INCOMMENSURATE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

  • Iqbal M. Batiha;Nashat Alamarat;Shameseddin Alshorm;O. Y. Ababneh;Shaher Momani
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.449-471
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    • 2023
  • In this paper, we study a linear system of homogeneous commensurate /incommensurate fractional-order differential equations by developing a new semi-analytical scheme. In particular, by decoupling the system into two fractional-order differential equations, so that the first equation of order (δ + γ), while the second equation depends on the solution for the first equation, we have solved the under consideration system, where 0 < δ, γ ≤ 1. With the help of using the Adomian decomposition method (ADM), we obtain the general solution. The efficiency of this method is verified by solving several numerical examples.

A shell-dynamics model for marine pipelines of large suspended length

  • Katifeoglou, Stefanos A.;Chatjigeorgiou, Ioannis K.
    • Ocean Systems Engineering
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    • v.5 no.4
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    • pp.301-318
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    • 2015
  • The present investigations introduce the shell-finite element discretization for the dynamics of slender marine pipelines. A long catenary pipeline, corresponding to a particular Steel Catenary Riser (SCR), is investigated under long-standing cyclic loading. The long structure is divided into smaller tubular parts which are discretized with 8-node planar shell elements. The transient analysis of each part is carried out by the implicit time integration scheme, within a Finite Elements (FE) solver. The time varying external loads and boundary conditions on each part are the results of a prior solution of an integrated line-dynamics model. The celebrated FE approximation can produce a more detailed stress distribution along the structural surface than the simplistic "line-dynamics" approach.

Folding Dynamics of β-Hairpins: Molecular Dynamics Simulations

  • Lee, Jin-Hyuk;Jang, Soon-Min;Park, Young-Shang;Shin, Seok-Min
    • Bulletin of the Korean Chemical Society
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    • v.24 no.6
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    • pp.785-791
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    • 2003
  • We have studied the folding mechanism of β-hairpins from proteins of 1GB1, 3AIT and 1A2P by unfolding simulations at high temperatures. The analysis of trajectories obtained from molecular dynamics simulations in explicit aqueous solution suggests that the three β-hairpin structures follow different mechanism of folding. The results of unfolding simulations showed that the positions of the hydrophobic core residues influence the folding dynamics. We discussed the characteristics of different mechanisms of β-hairpin folding based on the hydrogen-bond-centric and the hydrophobic-centric models.