• Title/Summary/Keyword: Bifurcation Condition

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Influence of Inlet Secondary Curvature on Hemodynamics in Subject-Specific Model of Carotid Bifurcations (환자 특정 경동맥 분기부 모델 혈류유동에 대한 입구부 이차곡률의 영향)

  • Lee, Sang-Wook
    • Journal of the Korean Society for Nondestructive Testing
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    • v.31 no.5
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    • pp.479-486
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    • 2011
  • In image-based CFD modeling of carotid bifurcation hemodynamics, it is often not possible (or at least not convenient) to impose measured velocity profiles at the common carotid artery inlet. Instead, fully-developed velocity profiles are usually imposed based on measured flow rates. However, some studies reported a pronounced influence of inflow boundary conditions that were based on actual velocity profiles measured by magnetic resonance imaging which showing the unusual presence of a high velocity band in the middle of the vessel during early diastole inconsistent with a Dean-type velocity profile. We demonstrated that those velocity profiles were induced by the presence of modest secondary curvature of the inlet and set about to test whether such more "realistic" velocity profiles might indeed have a more pronounced influence on the carotid bifurcation hemodynamics. We found that inlet boundary condition with axisymmetric fully-developed velocity profile(Womersley flow) is reasonable as long as sufficient CCA inlet length of realistic geometry is applied.

TAURODONTISM

  • Kim, Dong-Joon
    • Journal of the korean academy of Pediatric Dentistry
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    • v.5 no.1
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    • pp.44-46
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    • 1978
  • This is to report of a case of bilateral taurodontism of mandibular right & left 1st deciduous molars of 4 year-old female. Taurodontism is a morphologic condition of tooth, it seems to be caused by delayed or incomplete union of horizontal epithelial flaps of the epithelial diaphragm. This union is necessary in order to initiate dentinogenesis in the bifurcation area.

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Multiple Aneurysms on the Same Bifurcation Site of the Middle Cerebral Artery

  • Back, Byung-Suck;Choi, Seung-Jin;Ji, Cheol;Ahn, Jae-Geun
    • Journal of Korean Neurosurgical Society
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    • v.41 no.4
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    • pp.258-260
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    • 2007
  • Multiple aneurysms at the same cerebral arterial branching site are rare, and have been mainly described in a few case reports in comparison with other intracranial multiple aneurysms. Most reported locations of the same artery where multiple aneurysms developed were internal carotid artery and anterior communicating artery. We experienced a very rare case of multiple aneurysms arising at the same bifurcation site of the middle cerebral artery. Only one case like this has been reported previously in the literature. We discussed the preoperative diagnosis and surgical management of such condition.

NODAL SOLUTIONS FOR AN ELLIPTIC EQUATION IN AN ANNULUS WITHOUT THE SIGNUM CONDITION

  • Chen, Tianlan;Lu, Yanqiong;Ma, Ruyun
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.331-343
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    • 2020
  • This paper is concerned with the global behavior of components of radial nodal solutions of semilinear elliptic problems -Δv = λh(x, v) in Ω, v = 0 on ∂Ω, where Ω = {x ∈ RN : r1 < |x| < r2} with 0 < r1 < r2, N ≥ 2. The nonlinear term is continuous and satisfies h(x, 0) = h(x, s1(x)) = h(x, s2(x)) = 0 for suitable positive, concave function s1 and negative, convex function s2, as well as sh(x, s) > 0 for s ∈ ℝ \ {0, s1(x), s2(x)}. Moreover, we give the intervals for the parameter λ which ensure the existence and multiplicity of radial nodal solutions for the above problem. For this, we use global bifurcation techniques to prove our main results.

An analysis of the wrinkling initiation in sheet metal forming using bifurcation theory (분기좌굴이론을 이용한 박판성형공정에서의 주름발생해석)

  • 김종봉;양동렬;윤정환
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1998.03a
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    • pp.28-31
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    • 1998
  • Wrinkling is one of the major defects in sheet metal products and may be also attributable to the wear of the tool. The initiation and growth of the wrinkles are influenced by many factors such as stress state, mechanical properites of the sheet material, geometry of the body, and contact condition. It is difficult to analyze the wrinkling initiation and growth considering the factors because the effects of the factors are very complex and the wrinkling behavior may show wide variation for small deviation of the factors. In this study, the bifurcation theory is introduced for the finite element analysis of wrinkling initiation and growth, All the above mentioned factors are conveniently considered by finite element method. The finite element formulation is based on the incremental deformation theory and elastic-plastic material modeling. The finite element analysis is carried out using the continuum-based resultant shell elements considering the planar anisotropy of the sheet metal. The proposed method is verified by employing to column buckling problem. And then, the initiation and growth of wrinkling in deep drawing of cylindrical cup are analyzed.

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POSITIVE SOLUTIONS OF A REACTION-DIFFUSION SYSTEM WITH DIRICHLET BOUNDARY CONDITION

  • Ma, Zhan-Ping;Yao, Shao-Wen
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.677-690
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    • 2020
  • In this article, we study a reaction-diffusion system with homogeneous Dirichlet boundary conditions, which describing a three-species food chain model. Under some conditions, the predator-prey subsystem (u1 ≡ 0) has a unique positive solution (${\bar{u_2}}$, ${\bar{u_3}}$). By using the birth rate of the prey r1 as a bifurcation parameter, a connected set of positive solutions of our system bifurcating from semi-trivial solution set (r1, (0, ${\bar{u_2}}$, ${\bar{u_3}}$)) is obtained. Results are obtained by the use of degree theory in cones and sub and super solution techniques.

Complex Dynamic Behaviors of an Impulsively Controlled Predator-prey System with Watt-type Functional Response

  • Baek, Hunki
    • Kyungpook Mathematical Journal
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    • v.56 no.3
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    • pp.831-844
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    • 2016
  • In this paper, we consider a discrete predator-prey system with Watt-type functional response and impulsive controls. First, we find sufficient conditions for stability of a prey-free positive periodic solution of the system by using the Floquet theory and then prove the boundedness of the system. In addition, a condition for the permanence of the system is also obtained. Finally, we illustrate some numerical examples to substantiate our theoretical results, and display bifurcation diagrams and trajectories of some solutions of the system via numerical simulations, which show that impulsive controls can give rise to various kinds of dynamic behaviors.

Numerical study of dividing open-channel flows at bifurcation channel using TELEMAC-2D (TELEMAC-2D모형을 이용한 개수로 분류흐름에 대한 수치모의 연구)

  • Jung, Dae Jin;Jang, Chang-Lae;Jung, Kwansue
    • Journal of Korea Water Resources Association
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    • v.49 no.7
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    • pp.635-644
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    • 2016
  • This study investigates variation of flow characteristics due to variation of branch channel width and discharge ratio at bifurcation channel using 2D numerical model. The calculated result considering secondary flow is more accurate and stable than without considering one. The diversion flow rate ($Q_3/Q_1$) is reduced by flow stagnation effect according to the interaction of the secondary flow and flow separation zone in branch channel. The less upstream inflow or the lower upstream velocity, the bigger variation of diversion flow rate by changing branch channel width. At uniform downstream boundary condition, the rate of change in Froude number of downstream of main channel($Fr_2$)-diversion flow rate ($Q_3/Q_1$) relations is similar about -2.4843~-2.6675 when branch channel width ratio (b/B) is decreased. At uniform diversion flow rate ($Q_3/Q_1$) condition, the width of recirculation zone in branch channel is decreased when branch channel width ratio (b/B) is decreased. The less upstream inflow in the case of increasing branch channel width or the narrower branch channel width in the case of increasing upstream inflow, the bigger reduction ratio of recirculation zone width. At uniform inflow discharge ($Q_1$) condition, diversion flow rate, the width and length of recirculation zone in branch channel are decreased when branch channel width ratio (b/B) is decreased.

Chaotic Double Tent Mapping PWM Scheme for Acoustic Noise Reduction of o Motor Drive) (전동기의 소음 저감을 위한 카오스 2중 텐트 사상 PWM기법)

  • Kim, Jun-Hyeoung;Jung, Young-Gook;Lim, Young-Cheol
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.22 no.12
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    • pp.71-78
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    • 2008
  • The paper proposes a chaotic double tent mapping PWM scheme for mitigation the acoustic noise of a motor chive. The chaos area ${\lambda}=0.99$ in bifurcation tree of the double tent mapping is used for generating the chaotic numbers. A 80C196 micro-controller is employed for generation of chaotic numbers, and the triangular carrier with chaotic frequency is obtained by using a 80C196 micro-controller and a MAX038 frequency modulator. The experiments are executed with a 1.5[kw] induction motor chive under the 2.5[A] load condition. As results, the experimental results show that the carrier, voltage and 3-D switching noise spectra of the proposed scheme is spread over the chaotic frequency range with no specific frequency concentration. Thereby, the shrill acoustic noise radiated from a motor chive is reduced by the proposed scheme.

A DELAY-DIFFERENTIAL EQUATION MODEL OF HIV INFECTION OF CD4+ T-CELLS

  • SONG, XINYU;CHENG, SHUHAN
    • Journal of the Korean Mathematical Society
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    • v.42 no.5
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    • pp.1071-1086
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    • 2005
  • In this paper, we introduce a discrete time to the model to describe the time between infection of a CD4$^{+}$ T-cells, and the emission of viral particles on a cellular level. We study the effect of the time delay on the stability of the endemically infected equilibrium, criteria are given to ensure that the infected equilibrium is asymptotically stable for all delay. We also obtain the condition for existence of an orbitally asymptotically stable periodic solution.