• 대한수학회지
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• 제50권5호
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• pp.1129-1163
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• 2013

Based on finite element discretization, two linearization approaches to the defect-correction method for the steady incompressible Navier-Stokes equations are discussed and investigated. By applying $m$ times of Newton and Picard iterations to solve an artificial viscosity stabilized nonlinear Navier-Stokes problem, respectively, and then correcting the solution by solving a linear problem, two linearized defect-correction algorithms are proposed and analyzed. Error estimates with respect to the mesh size $h$, the kinematic viscosity ${\nu}$, the stability factor ${\alpha}$ and the number of nonlinear iterations $m$ for the discrete solution are derived for the linearized one-step defect-correction algorithms. Efficient stopping criteria for the nonlinear iterations are derived. The influence of the linearizations on the accuracy of the approximate solutions are also investigated. Finally, numerical experiments on a problem with known analytical solution, the lid-driven cavity flow, and the flow over a backward-facing step are performed to verify the theoretical results and demonstrate the effectiveness of the proposed defect-correction algorithms.

• 대한기계학회논문집B
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• 제21권3호
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• pp.341-349
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• 1997

The characteristics of defect correction method are discussed in a sample heat conduction problem showing the numerical solution of the error correction equation can predict the error of the numerical solution of the original governing equation. A way of using defect correction method combined with the existing algorithm for the incompressible fluid flow, is proposed and subsequently tested for the driven square cavity problem. The error correction equations for the continuity equation and the momentum equations are considered to estimate the errors of the numerical solutions of the original governing equations. With this new approach, better velocity and pressure fields can be obtained by correcting the original numerical solutions using the estimated errors. These calculated errors also can be used to estimate the orders of magnitude of the errors of the original numerical solutions.

• Journal of Chest Surgery
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• 제5권1호
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• pp.29-34
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• 1972

Interventricular Septal Defect is probably the most common congenital cardiac lesion. Despite rapid technical advances and increasing surgical experience the risk of surgical intervention for correction of Ventricular Septal Defect in infants with pulmonary hypertension remains formidable. Since Sirak et al [1959] reported a succesful case of two stage approach to their surgical correction, it has led to a policy of primary palliation,followed by complete correction as a secondary procedure, after age 3 to 4 years. Most surgeon prefer to perform complete correction of Ventricular Septal Defect when body weight exceeds 30 Lbs. and before development of so-called Eisenmengers complex, for the good postoperative results. Authors report 2 cases of Ventricular Septal Defect with pulmonary hupertenslon, who was underwent pulmonary artery banding as a palliative procedure in the Department of Surgery,Severance Hospital Yonsei University. Case 1:4 year old male, initially a complete correction of Ventricular Septal Defect was attempted by the help of mild hypothermia and extracorporeal circulation. During the procedure of a construction of an extracorporeal by- pass, a sudden cardiac arrest developed. After resuscitation of the heart,pulmonary artery banding was performed as a palliation. On the first postoperative day the patient developed generalized tonic convulsion, cyanosis, vomiting and eventually shock. Patient discharged home after a full recovery. Case 2.: 9 month old female, the pulmonary artery constricted with Teflon patch successfully. After the patients first postoperative day several cyanotic spells developed followed by 3 cardiac arrests. This repeated until when she expired with respiratory failure.

• Journal of applied mathematics & informatics
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• 제32권3_4호
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• pp.511-527
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• 2014

This paper provides a new application similar to the Local Defect Correction (LDC) technique to solve Poisson problem -u"(x) = f(x) with Dirichlet boundary conditions. The exact solution is supposed to have high activity in some region of the domain. LDC is combined with a fourth order compact scheme which is recently developed in Abbas (Num. Meth. Partial differential equations, 2013). Numerical tests illustrate the interest of this application.

• 핵의학기술
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• 제18권2호
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• pp.28-32
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• 2014

심근 관류 SPECT 검사 중 환자의 움직임은 관류 결손과 인공물을 발생시켜 정확한 진단에 영향을 줄 수 있는 인자이다. 움직임으로 왜곡된 데이터를 보정하는 방법으로 움직임 보정방법이 개발되었고 각 방법마다 사용된 알고리즘이 다르기에 상황에 비교하고자 한다. 실험에 사용된 장비는 GE Ventri Gamma Camera와 Anthropomorphic Torso Phantom을 이용하였다. 팬텀을 환자 조건과 동일하게 하기 위하여 심근에 74 kBq/mL, 연부조직 1.1 kBq/mL, 폐 2.6 kBq/mL, 간 9.6 kBq/mL의 Tl-201을 주입하여 제작하고, 움직이는 상황에서 결손의 변화 관찰 목적으로 심근의 Anterior wall에 임의로 결손을 삽입하였다. 움직이지 않는 정상군과 일정간격(2 cm, 3 pixel) 상하 1회 이동, 상하 반복 이동, 좌우 1회 이동, 좌우 반복 이동한 데이터에 나누어 영상 획득하고 MDC, Hopkins, Stasis 방법을 적용하여 Polar map과 정량분석 Score로 비교 하였다. 환자와 동일한 조건으로 회전각 $6^{\circ}$, 50sec/frame으로 영상 획득하고, OSEM (2 iterations, 10 subsets), Butterworth filter (order 10; cutoff frequency; 0.32 cycle per pixel)를 적용, scatter correction, 감쇠보정은 적용하지 않았다. 팬텀 실험에서 세 가지 방법들에서 MDC 방법이 Visual 인공물 없이 잘 보정하였으나, 환자의 데이터에 이를 적용 하였을 때, 환자마다 움직임 보정방법 적용 결과들이 일정하지 않았다. 이는, 환자의 움직임이 일정하지 않고, 장기내의 동위원소의 비율도 다르기에 발생한다고 생각되며 추가적인 연구와 상황에 맞는 움직임 보정방법의 유동적인 사용이 필요하다고 사료된다.

• 대한수학회지
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• 제49권3호
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• pp.549-569
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• 2012

In this paper asymptotic error expansions for mixed finite element approximations to a class of second order elliptic optimal control problems are derived under rectangular meshes, and the Richardson extrapolation of two different schemes and interpolation defect correction can be applied to increase the accuracy of the approximations. As a by-product, we illustrate that all the approximations of higher accuracy can be used to form a class of a posteriori error estimators of the mixed finite element method for optimal control problems.

• Journal of Chest Surgery
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• 제33권2호
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• pp.139-145
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• 2000

Background: The purpose of this study is to review the clinical course after the correction of noncomplicated ventricular septal defect and to analyze the morbidity and risk factors of postoperative complications and evaluate residual defect during the follow-up period. Material and Method: From September 1994 to June 1998 24 patients(median age 10 months) underwent surgery under the diagnosis of ventricular septal defect. We made a retrospective review of the clinical records including the operation notes critical care unit records echocardiography results and the follow-up records. Result: There was no early mortality nd late mortality. There was no postoperative complete conduction block. Respiratory complication was the most common complication. The body weight age type of ventricular septal defect associated anomalies and operative procedure were not related to the incidence of complications. residual ventricular septal defects aortic valve regurgitation and tricuspid valve regurgitation were insignificant in postoperative hemodynamics, Conclusions: Correction of the noncomplicated ventricular septal defect was done without mortality and complete heart block. Aggressive preoperative medical treatment and early surgical treatment may decrease postoperative complications. Postoperative residual shunt and tricuspid regurgitation were not problematic during the follow-up

• Journal of Chest Surgery
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• 제12권3호
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• pp.225-232
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• 1979

A 15-year-old girl underwent successful surgical correction of double-outlet right ventricle [S.D.L.] subaortic ventricular septal defect, patent foramen ovale, and pulmonary hypoplasia with valvular stenosis. The operation consisted of an internal baffling connecting the left ventricle to the aorta through the ventricular septal defect. The pulmonary stenosis was corrected with the method of connection the right ventricle to the pulmonary artery bifurcation using the Hancock valve[18mm] contained conduit. This rare type of DORV seemed to be suitable for corrective surgery, and the patient`s condition is very good until present time (post operative 7 months).

• Journal of Chest Surgery
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• 제22권4호
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• pp.655-660
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• 1989

The unroofed coronary sinus syndrome is a spectrum of cardiac anomalies in which part or all the common wall between the coronary sinus and the left atrium is absent. This defect is part of a developmental complex which includes absence of the coronary sinus and termination of a persistent left superior vena cava in the left atrium. Recognition of this complex is important so that interruption or diversion of the left superior vena cava may be done to prevent subsequent central nervous system complications. Surgical correction uses an intraatrial baffle to divert flow from the left superior vena cava to right atrium and to close the atrial septal defect. This report describes a 7 years old female patient in whom the left superior vena cava was identified preoperatively and the complex [unroofed coronary sinus syndrome, common atrium, mitral valve cleft] recognized at the time of operation. Surgical correction, following repair of cleft mitral valve, utilized a Dacron patch baffle to route the left caval blood to the right atrium and included closure of the atrial septal defect

• Journal of Chest Surgery
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• 제23권4호
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• pp.654-658
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• 1990

Between January of 1980 and December of 1989, we are encountered 121 cases of Down syndrome here at Yonsei University Medical Center. of these being endocardial cushion defect, ventricular septal defect, tetralogy of Fallot, atrial septal defect, patent ductus arteriosus and complicated anomalies. The mean age was 1 month 2 years with the sexual division at 31 males and 29 females. Among these 60 patients, 10 of them were treated trough surgical management, 8 of them being open heart surgeries, the 8 open heart surgeries are broken down as follow: 4 total correction of ECD, 2 patch repair of VSD, 1 total correction of TOF, 1 patch repair of ASD secundum. Another 2 operative management are ligation of PDA and modified Blalock - Taussig shunt of TOF. Postoperatively all patients were weaned and extubated on an artificial ventilator without any respiratory complications, and were discharged without incident.