• 한국의학물리학회지:의학물리
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• 제30권1호
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• pp.22-31
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• 2019

Purpose: To develop a new diffusion-based functional MRI (fMRI) sequence to generate apparent diffusion coefficient (ADC) maps in single excitation and evaluate the contribution of b0 signal on neuronal changes. Materials and Methods: A diffusion-based fMRI sequence was designed with single measurement that can acquire images of three directions at a time, obtaining $b=0s/mm^2$ during the first baseline condition (b0_b), followed by 107 diffusion-weighted imaging (DWI) with $b=600s/mm^2$ during the baseline and visual stimulation conditions, and another $b=0s/mm^2$ during the last activation condition (b0_a). ADC was mapped in three different ways: 1) using b0_b (ADC_b) for all time points, 2) using b0_a (ADC_a) for all time points, and 3) using b0_b and b0_a (ADC_ba) for baseline and stimulation scans, respectively. The fMRI studies were conducted on the brains of 16 young healthy volunteers using visual stimulations in a 3T MRI system. In addition, the blood oxygen level dependent (BOLD) fMRI was also acquired to compare it with diffusion-based fMRI. A sample t-test was used to investigate the voxel-wise average between the subjects. Results: The BOLD data consisted of only activated voxels. However, ADC_ba data was observed in both deactivated and activated voxels. There were no statistically significant activated or deactivated voxels for DWI, ADC_b, and ADC_a. Conclusions: With the new sequence, neuronal activations can be mapped with visual stimulation as compared to the baseline condition in several areas in the brain. We showed that ADC should be mapped using both DWI and b0 images acquired with the same conditions.

• 한국농공학회논문집
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• 제50권6호
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• pp.49-60
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• 2008

This study were predicted the corrosion threshold reached at steel reinforcement in latex modified concrete(LMC) which were applied the agricultural hydraulic concrete structures. Accelerated testing was accomplished to the evaluate the diffusion coefficient of LMC mix, and the time dependent constants of diffusion. Also, the average chloride diffusion coefficient was estimated. From the average chloride ion diffusion coefficient, the time which critical chloride contents at depth of reinforcement steel was estimated. Test results indicated that the corrosion threshold reached at reinforcement in LMC were effected on the mix proportion factor including cement contents, latex content, and water-cement ratio. Especially, the average chloride diffusion coefficient, the corrosion threshold reached at reinforcement in LMC were affected by the all mix proportion factor.

• Bulletin of the Korean Chemical Society
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• 제13권4호
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• pp.398-404
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• 1992

We have investigated the kinetics of diffusion-influenced bimolecular reactions in which one reactant has an internal mode, called the gating mode, that activates or deactivates its reactivity intermittently. The rate law and an expression for the time-dependent rate coefficient have been obtained from the general formalism based on the hierarchy of kinetic equations involving reactant distribution functions. The analytic expression obtained for the steady-state reaction rate constant coincides with the one obtained by Szabo et al., who derived the expression by employing the conventional concentration-gradient approach. For the time-dependent reaction rate coefficient, we obtained for the first time an exact analytic expression in the Laplace domain which was then inverted numerically to give the time-domain results.

• 한국농공학회논문집
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• 제50권4호
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• pp.27-37
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• 2008

It is most serious problem which is various occurs from the agricultural concrete structure and off shore concrete structure the problem which it comes to think is deterioration of the concrete which is caused with the corrosion of the reinforcing steel which is caused by with permeation of the water and the sea water. Specially the off shore concrete structure has been deteriorated by the steel reinforcement corrosion. The latex modified concrete(LMC) was adds latex in the plain concrete as the latex has increase the durability of concrete. This study were accomplished to the estimate the diffusion coefficient of LMC, and the time dependent constants of diffusion. The average chloride diffusion coefficient was estimated. Also, the average chloride diffusion coefficient was compared with diffusion coefficient test results of 28 curing days. The test results indicated that the average chloride diffusion coefficient could closely estimate the test results of the diffusion coefficient test results of 28 curing days.

• Structural Engineering and Mechanics
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• 제28권1호
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• pp.19-38
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• 2008

A general solution to the field equations of homogeneous isotropic generalized thermoelastic diffusion with two relaxation times (Green and Lindsay theory) has been obtained using the Fourier transform. Assuming the disturbances to be harmonically time.dependent, the transformed solution is obtained in the frequency domain. The application of a time harmonic concentrated and distributed loads have been considered to show the utility of the solution obtained. The transformed components of displacement, stress, temperature distribution and chemical potential distribution are inverted numerically, using a numerical inversion technique. Effect of diffusion on the resulting expressions have been depicted graphically for Green and Lindsay (G-L) and coupled (C-T) theories of thermoelasticity.

• Nuclear Engineering and Technology
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• 제53권12호
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• pp.3861-3878
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• 2021

The steady-state simplified spherical harmonics equations (SP_N equations) are a higher order approximation to the neutron transport equations than the neutron diffusion equation that also have reasonable computational demands. This work extends these results for the analysis of transients by comparing of two formulations of time-dependent SP_N equations considering different treatments for the time derivatives of the field moments. The first is the full system of equations and the second is a diffusive approximation of these equations that neglects the time derivatives of the odd moments. The spatial discretization of these methodologies is made by using a high order finite element method. For the time discretization, a semi-implicit Euler method is used. Numerical results show that the diffusive formulation for the time-dependent simplified spherical harmonics equations does not present a relevant loss of accuracy while being more computationally efficient than the full system.

• 콘크리트학회논문집
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• 제28권2호
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• pp.149-156
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• 2016

염해에 노출된 콘크리트의 내구수명은 매우 중요한데, 주로 Fick's 2법칙에 근거한 결정론적인 방법과 확률론에 근거한 방법이 사용되고 있다. 본 연구에서는 시간의존적 확산계수와 표면염화물량을 고려하여 내구적 파괴확률과 이에 따른 내구수명의 변화를 평가하였다. 이를 위해 3.5~4.5년, 비교적 짧은 기간 염해에 노출된 RC 교각에 대하여 해상부(9.0 m)와 간만대(6.0 m) 구분하여 실태조사를 수행하였다. 피복두께, 표명염화물량, 염화물 확산계수에 대한 확률변수를 도출하였으며, MCS을 이용하여 내구적 파괴확률과 내구수명을 평가하였다. Life365를 이용한 결정론적 방법과 다르게, 시간의존성을 고려한 확률해석에서는 내구수명의 변동이 크게 발생하였으며, 표면염화물량이 낮은 조건에서는 초기에 빠른 내구수명의 감소가 평가되었다. 실태조사 결과를 이용하여 확률론적인 내구성 평가를 할 경우, 장기간 염해에 노출되어 $10.0kg/m^3$ 이상의 높은 표면염화물량이 필요함을 알 수 있으며, 확산계수의 시간의존성에 따른 감소를 고려하면 합리적인 내구수명을 평가할 수 있다.

• 한국콘텐츠학회논문지
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• 제16권4호
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• pp.114-122
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• 2016

콘크리트는 경제적이며 고내구성 건설재료이지만, 염해에 노출된 경우 매립된 철근의 부식으로 인해 내구성에 대한 문제가 발생한다. 최근 들어 동절기에 제설제가 많이 사용되고 있는데, 제설제의 사용은 콘크리트 표면에 미세균열과 박리를 증가시키고 용해된 제설제는 매립된 철근의 부식을 야기한다. 기존의 염화물 지배방정식인 Fick's 2nd Law의 해석기법은 표면이 열화된 콘크리트의 염해특성을 평가하지 못하므로 이에 대한 고려가 필요하다. 본 연구에서는 콘크리트 다층구조 확산 모델과 시간의존성 염화물 확산을 이용하여 제설제에 노출된 콘크리트의 염화물 해석기법을 제안하였다. 이를 위해 18년 경과된 콘크리트 도로교의 염해실태를 분석하였으며, 역해석을 통하여 표면열화깊이 및 열화된 콘크리트 층의 증가된 염화물 확산성을 평가하였다. 제안된 기법은 30MPa 콘크리트에서 12.5~15.0mm 열화깊이와 2배 증가된 열화층의 염화물 확산성을 나타내었다. 본 해석기법은 표면열화 및 표면 강화 등 2개의 다른 확산성을 가진 콘크리트의 염화물 거동을 평가하는데 효과적으로 적용될 수 있다.

• Journal of Pharmaceutical Investigation
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• 제20권2호
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• pp.79-88
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• 1990

A numerical model for diffusion and dissolution controlled transport from dispersed matrix is presented. The rate controlling process for transport is considered to be diffusion of drug through a concentration gradient coupled with time-dependent surface change and/or disappearance of the dispersed drug in response to the dissolution. The transport behavior of drug was explained in terms of ${\nu}$ parameter: ${\nu}$ value means a ratio of diffusion time constant and dissolution time constant. This general model has wide range of application from where release is controlled by the diffusion rate to where release is governed by the dissolution rate. Based on this model, theoretical drug concentration, particle size distributions in the polymer matrix system and the resulting release rate were also investigated.

• 대한수학회논문집
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• 제10권2호
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• pp.419-438
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• 1995

We investigate a tansient diffusion approximation of queue size distribution in $M^{X}/G^{Y}/c$ system using the diffusion process with elementary return boundary. We choose an appropriate diffusion process which approxiamtes the queue size in the system and derive the transient solution of Kolmogorov forward equation of the diffusion process. We derive an approximation formula for the transient queue size distribution and mean queue size, and then obtain the stationary solution from the transient solution. Accuracy evalution is presented by comparing approximation results for the mean queue size with the exact results or simulation results numerically.