• 제목/요약/키워드: differential structure

검색결과 1,289건 처리시간 0.022초

Bayesian Inference of the Stochastic Gompertz Growth Model for Tumor Growth

  • Paek, Jayeong;Choi, Ilsu
    • Communications for Statistical Applications and Methods
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    • 제21권6호
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    • pp.521-528
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    • 2014
  • A stochastic Gompertz diffusion model for tumor growth is a topic of active interest as cancer is a leading cause of death in Korea. The direct maximum likelihood estimation of stochastic differential equations would be possible based on the continuous path likelihood on condition that a continuous sample path of the process is recorded over the interval. This likelihood is useful in providing a basis for the so-called continuous record or infill likelihood function and infill asymptotic. In practice, we do not have fully continuous data except a few special cases. As a result, the exact ML method is not applicable. In this paper we proposed a method of parameter estimation of stochastic Gompertz differential equation via Markov chain Monte Carlo methods that is applicable for several data structures. We compared a Markov transition data structure with a data structure that have an initial point.

시공 공정에 따른 건축 구조물의 구조해석 및 수직부재의 부등변형 (Structural Analysis for Building Structures reflecting Differential Column Shortening based upon Construction Sequence)

  • 조상규;이형우;최창식
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.333-341
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    • 1998
  • The general method of structural analysis for building structures has been based upon the assumption that all dead loads are imposed on a building simultaneously throughout the entire structure. In reality, buildings are built floor by floor or a few floors at a time. The construction dead load is applied gradually onto the structure as the structure is being erected. The prevailing commercial software for structural analysis used to date have resulted in the representation of inaccurate structural behaviors. The actual construction sequence and the loading of the structure ere not properly represented in the analysis. This paper identifies the source of the errors and develops the algorithm to account for the differential column shortening due to construction dead load based upon a given construction sequence

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A MATRIX FORMULATION OF THE TAU METHOD FOR FREDHOLM AND VOLTERRA LINEAR INTEGRO-DIFFERENTIAL EQUATIONS

  • Aliabadi, M.-Hosseini;Shahmorad, S.
    • Journal of applied mathematics & informatics
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    • 제9권2호
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    • pp.667-677
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    • 2002
  • In this paper we obtain the matrix Tau Method representation of a general boundary value problem for Fredholm and Volterra integro-differential equations of order $\nu$. Some theoretical results are given that simplify the application of the Tau Method. The application of the Tau Method to the numerical solution of such problems is shown. Numerical results and details of the algorithm confirm the high accuracy and user-friendly structure of this numerical approach.

지반-보강재 상호작용에 의한 매설관의 부등침하 억제효과 (Soil-Reinforcement Interaction to Restrain Differential Settlement of Buried Pipeline)

  • 손준익;정하익
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1991년도 봄 학술발표회 논문집
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    • pp.29-33
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    • 1991
  • This paper reports the application study of the ground reinforement under a buried pipeline subjected to differential settlement via a finite element modelling. The Soil-reinforrement interaction helps to mimimize the differential settlement between the adjoining pipe segments. The settlement pattern and deformation slope of a pipeline have been evaluated for a boundary condition at the joint between a rigid structure and apipeline. The analysis results are compared for both non-reinforied and reinforced cases to measure the effectiveness of the soil reinforcement for restraining the settlement of the pipeline.

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SYMMETRIES OF PARTIAL DIFFERENTIAL EQUATIONS

  • Gaussier, Herve;Merker, Joel
    • 대한수학회지
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    • 제40권3호
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    • pp.517-561
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    • 2003
  • We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in $\mathbb{C}$. Using the recent developments of Cauchy-Riemann geometry we provide the set of symmetries of such a system with a Lie group structure. Finally we determine the precise upper bound of the dimension of this Lie group for some specific systems of partial differential equations.

Dynamic interaction analysis of vehicle-bridge system using transfer matrix method

  • Xiang, Tianyu;Zhao, Renda
    • Structural Engineering and Mechanics
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    • 제20권1호
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    • pp.111-121
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    • 2005
  • The dynamic interaction of vehicle-bridge is studied by using transfer matrix method in this paper. The vehicle model is simplified as a spring-damping-mass system. By adopting the idea of Newmark-${\beta}$ method, the partial differential equation of structure vibration is transformed into a differential equation irrelevant to time. Then, this differential equation is solved by transfer matrix method. The prospective application of this method in real engineering is finally demonstrated by several examples.

특이발현과 특이공발현을 고려한 유의한 유전자 집단 탐색 (Identifying statistically significant gene sets based on differential expression and differential coexpression)

  • 이선호
    • 응용통계연구
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    • 제29권3호
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    • pp.437-448
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    • 2016
  • 서로 상관있는 유전자들의 발현조절이 질병이나 종양의 발생에 영향을 미치기 때문에 단일유전자 분석 대신 공통의 생물학적 요소를 지닌 유전자 집단 분석이 각광을 받게 되었고 생물학적으로 좀더 설명하기 쉬운 결과를 얻게 되었다. 표현형에 따라 유의한 차이를 보이는 유전자 집단을 찾는 여러 방법들이 있지만, 대부분의 방법들이 집단에 속한 유전자들의 표현형에 따른 발현의 차이를 탐색하거나 유전자들 사이의 공발현 구조가 다른지 탐색하는 것이다. 본 연구에서는 특이발현과 특이공발현의 차이를 모두 고려하는 탐색방법을 제시하였고 p53이란 유전자 자료와 모의자료를 이용하여 제시한 방법의 성능을 알아 보았다.

Iterative Multiple Symbol Differential Detection for Turbo Coded Differential Unitary Space-Time Modulation

  • Vanichchanunt, Pisit;Sangwongngam, Paramin;Nakpeerayuth, Suvit;Wuttisittikulkij, Lunchakorn
    • Journal of Communications and Networks
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    • 제10권1호
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    • pp.44-54
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    • 2008
  • In this paper, an iterative multiple symbol differential detection for turbo coded differential unitary space-time modulation using a posteriori probability (APP) demodulator is investigated. Two approaches of different complexity based on linear prediction are presented to utilize the temporal correlation of fading for the APP demodulator. The first approach intends to take account of all possible previous symbols for linear prediction, thus requiring an increase of the number of trellis states of the APP demodulator. In contrast, the second approach applies Viterbi algorithm to assist the APP demodulator in estimating the previous symbols, hence allowing much reduced decoding complexity. These two approaches are found to provide a trade-off between performance and complexity. It is shown through simulation that both approaches can offer significant BER performance improvement over the conventional differential detection under both correlated slow and fast Rayleigh flat-fading channels. In addition, when comparing the first approach to a modified bit-interleaved turbo coded differential space-time modulation counterpart of comparable decoding complexity, the proposed decoding structure can offer performance gain over 3 dB at BER of $10^{-5}$.

콘크리트 믹서 트럭용 믹서 감속기의 차동 유성 기어 트레인에 대한 위험속도 해석 (The Critical Speed Analysis of the Differential Planetary Gear Train of a Concrete Mixer Truck Mixer Reducer)

  • 배명호;배태열;김당주
    • 드라이브 ㆍ 컨트롤
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    • 제14권1호
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    • pp.1-7
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    • 2017
  • The power train of a concrete truck mixer reducer includes differential planetary gears to get a large reduction ratio for operating the mixer drum in a compact structure. These differential planetary gears are a very important part of the mixer reducer where strength problems are the main concern. Gear bending stress, gear compressive stress and scoring failure are the main concerns. Many failures in differential planetary gears are due to the insufficient gear strength and resonance problems caused by major excitation forces such as gear mating failure in the transmission. In the present study, where the excitation frequencies are the gear tooth passing frequencies of the mating gears, a Campbell diagram is used to calculate differential planetary gear critical speeds. Mode shapes and natural frequencies of the differential planetary gears are calculated by CATIA V5. These are used to predict gear resonance failures by comparing the working speed range with the critical speeds due to the gear transmission errors of the differential planetary gears.

CRLH 전송선로를 이용한 공통 모드 억압 평형 필터 (Common-Mode Suppression Balanced Filter based on Composite Right/Left-Handed Transmission Line)

  • 김영;윤정호;윤영철
    • 한국항행학회논문지
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    • 제15권4호
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    • pp.571-577
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    • 2011
  • 본 논문은 차동 모드로 동작하는 메타 재질 구조를 바탕으로 평형 필터 설계를 제안한 것이다. 이 메타 재질 구조는 차동 모드 동작에서는 Composite Right/Left-Handed(CRLH) 메타 재질로 동작하여 필터 특성을 갖지만, 공통 모드에서는 통과대역이 차단되는 성질을 갖는 평형 CRLH 단위 셀로 구성되었다. 이러한 차동모드 특성을 갖는 단위 셀을 직렬로 4단을 연결하여 필터를 구성하였으며, 제안된 메타 재질의 특성은 차동 모드 평형 필터로 동작하고, 공통 모드에서는 차단되는 특성을 실험 결과를 통하여 확인하였다. 메타 재질을 이용한 평형 필터는 대역폭이 960 MHz~1000 MHz, 4.1dB의 삽입손실을 갖는 특성을 얻었다.