• 제목/요약/키워드: P-1 approximation

검색결과 182건 처리시간 0.025초

Methods to determine the volume of infrapatellar fat pad as an indicator of anterior cruciate ligament tear

  • Cheruvu, B.;Tsatalis, J.;Laughlin, R.;Goswami, T.
    • Biomaterials and Biomechanics in Bioengineering
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    • 제3권1호
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    • pp.27-35
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    • 2016
  • Anterior knee pain is a major problem among adolescents and young adults especially those who participates in sports. The most common pathogenesis of anterior knee pain can arise from compression and shear forces in the patellofemoral joint. It is also caused by impingement of infrapatellar fat pad. Fat pad impingement can occur when the fat pad becomes swollen and inflamed due to a direct blow or chronic irritation. As a result, the bottom tip (or inferior pole) of the patella can pinch the fat pad. One of the many causes of swollen fat pad can be secondary to anterior cruciate ligament (ACL) injury. The aim of this study was to compare the infrapatellar fat pad volume in patients with acute ACL injury and a group of age-, gender-, and activity- matched controls with intact ligament. Axial magnetic resonance (MR) images have been performed on 32 patients with torn ACL and 40 control patients. The volume of the fat pad was measured digitally from MR image by using a 3d Reconstruction software, ellipsoidal approximation, and a MATLAB code. The results were compared between patients with torn ACL and control group. Patients with a torn ACL had a significantly larger fat pad than the controls (P=0.01). There was no significant difference between the methods used to measure the infrapatellar fat pad volume (P=0.83-0.87). Thus, lesions of the infrapatellar fat pad is often associated with ACL injury.

Analysis and Approximation of Linear feedback control problems for the Boussinesq equations

  • 최영미;이형천
    • 한국전산응용수학회:학술대회논문집
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    • 한국전산응용수학회 2003년도 KSCAM 학술발표회 프로그램 및 초록집
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    • pp.6-6
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    • 2003
  • In this work we consider the mathematical formulation and numerical resolution of the linear feedback control problem for Boussinesq equations. The controlled Boussinesq equations is given by $$\frac{{\partial}u}{{\partial}t}-{\nu}{\Delta}u+(u{\cdot}{\nabla}u+{\nabla}p={\beta}{\theta}g+f+F\;\;in\;(0,\;T){\times}\;{\Omega}$$, $${\nabla}{\cdot}u=0\;\;in\;(0,\;T){\times}{\Omega}$$, $$u|_{{\partial}{\Omega}=0,\;u(0,x)=\;u_0(x)$$ $$\frac{{\partial}{\theta}}{{\partial}t}-k{\Delta}{\theta}+(u{\cdot}){\theta}={\tau}+T,\;\;in(0,\;T){\times}{\Omega}$$ $${\theta}|_{{\partial}{\Omega}=0,\;\;{\theta}(0,X)={\theta}_0(X)$$, where $\Omega$ is a bounded open set in $R^{n}$, n=2 or 3 with a $C^{\infty}$ boundary ${\partial}{\Omega}$. The control is achieved by means of a linear feedback law relating the body forces to the velocity and temperature field, i.e., $$f=-{\gamma}_1(u-U),\;\;{\tau}=-{\gamma}_2({\theta}-{\Theta}}$$ where (U,$\Theta$) are target velocity and temperature. We show that the unsteady solutions to Boussinesq equations are stabilizable by internal controllers with exponential decaying property. In order to compute (approximations to) solution, semi discrete-in-time and full space-time discrete approximations are also studied. We prove that the difference between the solution of the discrete problem and the target solution decay to zero exponentially for sufficiently small time step.

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CF4, CH4, Ar 혼합기체의 전자 평균에너지 (Electron Mean Energy in CF4, CH4, Ar mixtures)

  • 김상남
    • 전기학회논문지P
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    • 제64권4호
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    • pp.241-245
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    • 2015
  • Energy Distribution Function in pure $CH_4$, $CF_4$ and mixtures of $CF_4$ and Ar, have been analyzed over a range of the reduced electric field strength between 0.1 and 350[Td] by the two-term approximation of the Boltzmann equation (BEq.) method and the Monte Carlo simulation (MCS). The calculations of electron swarm parameters require the knowledge of several collision cross-sections of electron beam. Thus, published momentum transfer, ionization, vibration, attachment, electronic excitation, and dissociation cross-sections of electrons for $CH_4$, $CF_4$ and Ar, were used. The differences of the transport coefficients of electrons in $CH_4$, mixtures of $CH_4$ and Ar, have been explained by the deduced energy distribution functions for electrons and the complete collision cross-sections for electrons. The results of the Boltzmann equation and the Monte Carlo simulation have been compared with the data presented by several workers. The deduced transport coefficients for electrons agree reasonably well with the experimental and simulation data obtained by Nakamura and Hayashi. The energy distribution function of electrons in $CF_4$-Ar mixtures shows the Maxwellian distribution for energy. That is, $f({\varepsilon})$ has the symmetrical shape whose axis of symmetry is a most probably energy.

시뮬레이션에 의한 CH4 기체의 전리 및 확산계수 (Ionization and Diffusion Coefficients in CH4 Gas by Simulation)

  • 김상남
    • 전기학회논문지P
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    • 제63권4호
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    • pp.317-321
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    • 2014
  • This paper describes the information for quantitative simulation of weakly ionized plasma. We must grasp the meaning of the plasma state condition to utilize engineering application and to understand materials of plasma state. Using quantitative simulations of weakly ionized plasma, we can analyze gas characteristic. In this paper, the electron Ionization and diffusion Coefficients in $CH_4$ has been analysed over the E/N range 0.1~300[Td], at the 300[$^{\circ}K$] by the two term approximation Boltzmann equation method and Monte Carlo Simulation. Boltzmann equation method has also been used to predict swarm parameter using the same cross sections as input. The behavior of electron has been calculated to give swarm parameter for the electron energy distribution function has been analysed in $CH_4$ at E/N=10, 100 for a case of the equilibrium region in the mean energy. A set of electron collision cross section has been assembled and used in Monte Carlo simulation to predict values of swarm parameters. The result of Boltzmann equation and Monte Carlo Simulation has been compared with experimental data by Ohmori, Lucas and Carter. The swarm parameter from the swarm study are expected to sever as a critical test of current theories of low energy scattering by atoms and molecules.

Dynamic Survivable Routing for Shared Segment Protection

  • Tapolcai, Janos;Ho, Pin-Han
    • Journal of Communications and Networks
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    • 제9권2호
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    • pp.198-209
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    • 2007
  • This paper provides a thorough study on shared segment protection (SSP) for mesh communication networks in the complete routing information scenario, where the integer linear program (ILP) in [1] is extended such that the following two constraints are well addressed: (a) The restoration time constraint for each connection request, and (b) the switching/merging capacity constraint at each node. A novel approach, called SSP algorithm, is developed to reduce the extremely high computation complexity in solving the ILP formulation. Basically, our approach is to derive a good approximation on the parameters in the ILP by referring to the result of solving the corresponding shared path protection (SPP) problem. Thus, the design space can be significantly reduced by eliminating some edges in the graphs. We will show in the simulation that with our approach, the optimality can be achieved in most of the cases. To verify the proposed formulation and investigate the performance impairment in terms of average cost and success rate by the additional two constraints, extensive simulation work has been conducted on three network topologies, in which SPP and shared link protection (SLP) are implemented for comparison. We will demonstrate that the proposed SSP algorithm can effectively and efficiently solve the survivable routing problem with constraints on restoration time and switching/merging capability of each node. The comparison among the three protection types further verifies that SSP can yield significant advantages over SPP and SLP without taking much computation time.

Identification of the associations between genes and quantitative traits using entropy-based kernel density estimation

  • Yee, Jaeyong;Park, Taesung;Park, Mira
    • Genomics & Informatics
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    • 제20권2호
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    • pp.17.1-17.11
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    • 2022
  • Genetic associations have been quantified using a number of statistical measures. Entropy-based mutual information may be one of the more direct ways of estimating the association, in the sense that it does not depend on the parametrization. For this purpose, both the entropy and conditional entropy of the phenotype distribution should be obtained. Quantitative traits, however, do not usually allow an exact evaluation of entropy. The estimation of entropy needs a probability density function, which can be approximated by kernel density estimation. We have investigated the proper sequence of procedures for combining the kernel density estimation and entropy estimation with a probability density function in order to calculate mutual information. Genotypes and their interactions were constructed to set the conditions for conditional entropy. Extensive simulation data created using three types of generating functions were analyzed using two different kernels as well as two types of multifactor dimensionality reduction and another probability density approximation method called m-spacing. The statistical power in terms of correct detection rates was compared. Using kernels was found to be most useful when the trait distributions were more complex than simple normal or gamma distributions. A full-scale genomic dataset was explored to identify associations using the 2-h oral glucose tolerance test results and γ-glutamyl transpeptidase levels as phenotypes. Clearly distinguishable single-nucleotide polymorphisms (SNPs) and interacting SNP pairs associated with these phenotypes were found and listed with empirical p-values.

SE를 사용한 나노게이트 산화막의 두께측정 (Thickness Measurement of Nanogate Oxide Films by Spectroscopic Ellipsometry)

  • 조현모;조용재;이윤우;이인원;김현종;김상열
    • 한국결정학회:학술대회논문집
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    • 한국결정학회 2002년도 정기총회 및 추계학술연구발표회
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    • pp.40-41
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    • 2002
  • 차세대 반도체 및 나노소자 산업에 대한 국제적 기술은 고밀도 직접화의 추세에 따라서 .게이트 산화막의 두께가 급속히 작아지는 추세이다. 지금까지 이산화규소(A1₂O₃)가 게이트 산화막으로 주로 사용되어 왔으나 점차 SiON 혹은 high k 박막으로 바뀌고 있다. 본 연구에서는 차세대 반도체 소자에 사용될 게이트 산화막 물질인 SiON 박막과 Al₂O₃박막에 대한 SE(Spectroscopic Ellipsometry)분석 모델을 확립하였고, SE 측정결과를 TEM, MEIS, XRR의 결과들과 비교하였다. SiON 박막의 굴절률 값은 Si₃N₄와 SiO₂가 물리적으로 혼합되어 있다고 가정하여 Bruggeman effective medium approximation을 사용하여 구하였다. 동일한 시료를 절단하여 TEM, MEIS, 그리고 XRR에 의하여 SiON 박막의 두께를 측정하였으며, 그 결과 SE와 XRR에 의해 얻어진 박막두께가 TEM과 MEIS의 결과 값보다 약 0.5 nm 크게 주어짐을 알 수 있었다(Table 1 참조). 본 연구결과는 비파괴적이며 비접촉식 측정방법인 SE가 2~4nm 두께의 초미세 SiON 박막의 두께와 N 농도의 상대적 값을 빠르고 쉽게 구할 수 있는 유용한 측정방법 임을 보여주었다. 기존의 게이트 산화물인 SiO₂를 대체할 후보 물질들 중의 하나인 A1₂O₃의 유전함수를 구하기 위하여 8 inch, p-type 실리콘 기판 위에 성장된 5 nm, 10 nm, 및 20 nm 두께의 A1₂O₃ 박막의 유전함수와 두께를 측정하였다. 이 시료들에 대한 SE data는 vacuum-UV spectroscopic ellipsometer를 사용하여 세 개의 입사각에서 0.75 eV에서 8.75 eV까지 0.05 eV 간격으로 측정되었다. A1₂O₃ 박막의 유전함수와 두께를 얻기 위하여 공기층/A1₂O₃ 박막/Si 기판으로 구성된 3상계 모델을 사용하였다. Si 기판에 대한 복소 유전함수는 문헌상의 값(1)을 사용하였고, A1₂O₃ 박막의 유전함수는 5개의 미지상수를 갖는 Tauc- Lorentz(TL) 분산함수(2)를 사용하였다. A1₂O₃ 박막의 경우 두께가 증가함에 따라서 굴절률이 커짐을 알 수 있었다.

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Effects of fission product doping on the structure, electronic structure, mechanical and thermodynamic properties of uranium monocarbide: A first-principles study

  • Ru-Ting Liang;Tao Bo;Wan-Qiu Yin;Chang-Ming Nie;Lei Zhang;Zhi-Fang Chai;Wei-Qun Shi
    • Nuclear Engineering and Technology
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    • 제55권7호
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    • pp.2556-2566
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    • 2023
  • A first-principle approach within the framework of density functional theory was employed to study the effect of vacancy defects and fission products (FPs) doping on the mechanical, electronic, and thermodynamic properties of uranium monocarbide (UC). Firstly, the calculated vacancy formation energies confirm that the C vacancy is more stable than the U vacancy. The solution energies indicate that FPs prefer to occupying in U site rather than in C site. Zr, Mo, Th, and Pu atoms tend to directly replace U atom and dissolve into the UC lattice. Besides, the results of the mechanical properties show that U vacancy reduces the compressive and deformation resistance of UC while C vacancy has little effect. The doping of all FPs except He has a repairing effect on the mechanical properties of U1-xC. In addition, significant modifications are observed in the phonon dispersion curves and partial phonon density of states (PhDOS) of UC1-x, ZrxU1-xC, MoxU1-xC, and RhxU1-xC, including narrow frequency gaps and overlapping phonon modes, which increase the phonon scattering and lead to deterioration of thermal expansion coefficient (αV) and heat capacity (Cp) of UC predicted by the quasi harmonic approximation (QHA) method.

식도재건술후 문합부 합병증 (Anastomotic Complications after Esophageal Reconstruction)

  • 이철범;함시영;김혁;정원상;김영학;강정호;백홍규
    • 대한기관식도과학회지
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    • 제6권1호
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    • pp.62-71
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    • 2000
  • Background: For the purpose of reducing operating time and rate of anastomotic leakage, we have performed esophagovisceral anastomosis with an EEA stapler using the largest size possible. If any difficulty in the approach of the EEA stapler was encountered one-layer interrupted hand-sewn anastomosis. Because the rate of postoperative benign anastomotic stricture was higher than expected, a retrospective study was done on all patients who underwent esophageal reconstruction. Material and Method: Over a period of 3 years from January 1996 to December 1998, we performed esophageal reconstructions on 30 patients. Patients were divided into two groups ; EEA stapler group(Group Ⅰ) comprised of 21 patients and hand-sewn group(Group Ⅱ) comprised of 9 patients.Result:The hospital mortality was 6.67 %(2/30) and the anastomotic leakage rate was 3.33 %(1/30). Among the discharged patients, the rate of recurrent anastomotic tumor was 3.57 %(1/28) and the rate of benign anastomotic stricture stricture rate was 35 %(7/20) in Group Ⅰ and 12.5 %(1/8) in Group Ⅱ, which was not significant. Conclusion: Although nontumor benign stricture was significantly higher in Group Ⅱ than in Group Ⅰ(p=0.0492), the incidence of anastomotic complications did not differ between the two groups. The one-layer interrupted hand-sewn esophagovisceral anastomosis by maintaining a wide lumen and close approximation of mucosa to mucosal layers with evenly spaced sutures could be one of the preferred surgical method to reduce benign anastomotic strictures.

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Effects of strain on the optical and magnetic properties of Ce-doped ZnO

  • Xu, Zhenchao;Hou, Qingyu;Guo, Feng;Jia, Xiaofang;Li, Cong;Li, Wenling
    • Current Applied Physics
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    • 제18권12호
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    • pp.1465-1472
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    • 2018
  • The magnetic and optical properties of Ce-doped ZnO systems have been widely demonstrated, but the effects of different strains of Ce-doped ZnO systems remain unclear. To solve these problems, this study identified the effects of biaxial strain on the electronic structure, absorption spectrum, and magnetic properties of Ce-doped ZnO systems by using a generalized gradient approximation + U (GGA + U) method with plane wave pseudopotential. Under unstrained conditions, the formation energy decreased, the system became stable, and the doping process became easy with the increase in the distances between two Ce atoms. The band gap of the systems with different strains became narrower than that of undoped ZnO without strain, and the absorption spectra showed a red shift. The band gap narrowed, and the red shift became weak with the increase of compressive strain. By contrast, the band gap widened, and the red shift became significant with the increase of tensile strain. The red shift was significant when the tensile strain was 3%. The systems with -1%, 0%, and 1% strains were ferromagnetic. For the first time, the magnetic moment of the system with -1% strain was found to be the largest, and the system showed the greatest beneficial value for diluted magnetic semiconductors. The systems with -3%, -2%, 2%, and 3% strains were non-magnetic, and they had no value for diluted magnetic semiconductors. The ferromagnetism of the system with -1% strain was mainly caused by the hybrid coupling of Ce-4f, Ce-5d, and O-2p orbits. This finding was consistent with Zener's Ruderman-Kittel-Kasuya-Yosida theory. The results can serve as a reference for the design and preparation of new diluted magnetic semiconductors and optical functional materials.