• East Asian mathematical journal
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• v.35 no.3
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• pp.341-349
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• 2019

In this paper, we are concerned with the minimal positive solution to system of the nonlinear matrix equations $A_1X^2+B_1Y +C_1=0$ and $A_2Y^2+B_2X+C_2=0$, where $A_i$ is a positive matrix or a nonnegative irreducible matrix, $C_i$ is a nonnegative matrix and $-B_i$ is a nonsingular M-matrix for i = 1, 2. We apply Newton's method to system and present a modified Newton's iteration which is validated to be efficient in the numerical experiments. We prove that the sequences generated by the modified Newton's iteration converge to the minimal positive solution to system of nonlinear matrix equations.

• International Journal of Industrial Entomology and Biomaterials
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• v.40 no.1
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• pp.28-32
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• 2020

Recently, many studies have been undertaken on the wet spinning and electrospinning of silk because wet-spun fibers and electrospun webs of silk can be applied in the biomedical and cosmetic fields owing to the good biocompatibility of silk. The rheological properties of silk solution are important because they strongly affect the spinning performance of the silk solution and the structures of resultant fibrous materials. Therefore, as a preliminary study on the effect of solvent composition on the rheological properties of silk fibroin (SF) solution and structure of the resultant film, in the reported work, methanol was added to the SF formic acid solution. A small amount of methanol (i.e. 2%) added to the SF formic acid solution significantly altered the rheological properties of the solution: its shear viscosity increased by 10 folds at low shear and decreased on increasing the shear rate, demonstrating shear thinning behavior of the SF solution. Dynamic tests for the SF solution indicated that the addition of 2% methanol altered the viscous state of the SF formic acid solution to elastic. However, the molecular conformation (i.e. β-sheet conformation) of the regenerated SF film cast from formic acid remained unchanged on the addition of 2% methanol.

• Journal of Chest Surgery
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• v.26 no.6
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• pp.427-440
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• 1993

The paucity of donor hearts for transplantation can be remedied by distant heart procurement. Prolonging donor heart preservation is essential for successful clinical cardiac transplantation. Thirty-two isolated rat hearts were perfused with Krebs-Henseleit buffer solution for 15 minutes, arrested and preserved at 4 oC for 4 hours, and then reperfused for 25 minutes. The following three groups were prepared and hemodynamic changes, creatine kinase-MB isoenzyme levels and ultrastructural changes of the myocardium were analysed before and after cardiac arrest. ; Group I : the heart was arrested with the cardioplegic solution [Plegisol, potassium : 16 mM, sodium : 120 mM] and then stored in a solution with ionic compositions of the extracellular fluid [Hartman, potassium : 4 mM, sodium : 130 mM] ; Group II : the heart was arrested with the cardioplegic solution and stored in a solution with ionic compositions of the intracellular fluid [Modified Euro-Collins, potassium : 108 mM, sodium : 10 mM] ; Group III : the heart was arrested with the cardioplegic solution containing adenosine 20 uM, and then stored in a solution with ionic compositions of the intracellular fluid [Modified University of Wisconsin solution, potassium : 119 mM, sodium: 23 mM]. Left ventricular developed pressure at 20 minutes of the reperfusion was significantly higher in group III [64.3 $\pm$ 3.12 mmHg, p<0.01] and group II [58.3 $\pm$ 1.55 mmHg, p<0.05] as compared with group I [51.4$\pm$ 2.78 mmHg]. The time to induce cardiac arrest after infusion of cardioplegic solution with adenosine 20 uM [5.3 $\pm$ 0.30 second, p<0.005] was significantly shorter than without adenosine [10.6$\pm$ 0.55 second]. Coronary flow at 20 minutes of the reperfusion was augmented significantly in group III [9.6$\pm$ 0.50 ml/min, p<0.05, p<0.05] as compared with group I [8.0 $\pm$ 0.41 ml/min] and group II [8.1$\pm$ 0.51 ml/min]. Percentage recovery of left ventricular developed pressure at 20 minutes of the reperfusion was significantly higher in group III [94.6$\pm$ 2.51 %, p<0.005] as compared with group II and in group II [83.1 $\pm$ 1.22 %, p<0.005] as compared with group I [69.9 $\pm$ 1.73 %], and also percentage recovery of coronary flow at 20 minutes of the reperfusion was significantly higher in group III [82.3 $\pm$ 3.86 %, p<0.05] as compared with group II [71.4 $\pm$ 3.46 %] but there was no significant difference between group I and group II. Measured level of creatine kinase-MB isoenzyme at 15 minutes of the reperfusion was significantly lower in group III [1.23 $\pm$ 0.16 ng/ml, p<0.025] and group II [1.42$\pm$ 0.10 ng/ml, p<0.05] as compared with group I [1.79 0.14 ng/ml]. In the semiquantitative evaluation of the ultrastructural changes of the myocardium, mitochondrial score was lower in group III [0.7 $\pm$ 0.21] than in group I [3.1$\pm$ 0.28] and group II [1.7 $\pm$ 0.19], and also the other structural score was lower in group III [2.7$\pm$ 0.99] than in group I [7.9 $\pm$ 0.89] and group II [5.0 $\pm$ 1.22]. In conclusion, the solution with ionic compositions of the intracellular fluid is appropriate for prolonged cardiac preservation, and it appears to be better preserving method for distant procurement when the donor heart is rapidly arrested with cardioplegic solution containing adenosine 20 uM, and then stored with Modified University of Wisconsin solution.

• Journal for History of Mathematics
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• v.17 no.1
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• pp.61-68
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• 2004

This paper aims at investigating the algebraic solution of cubic and quartic equation and eliciting the didactical meanings of them. First, I examine the event which relates to the equation in the history of mathematics and investigate the algebraic solution of cubic and quartic equation. And then I elicit the didactical suggestions which are required of teachers and students when they investigate the algebraic solution of cubic and quartic equation. In general, the investigation of these solutions is the valuable task which requires the algebraic intuition and technique for students and certificates expert knowledge for teachers.

• YAKHAK HOEJI
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• v.13 no.1
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• pp.16-21
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• 1969

When ultrasonic wave with barium titanate as an ultrasonic transducer (96.84kc, 1.4kv, 240mA) was applied to a dilute glucose solution, glucose was oxidized to glucuronic acid. It was found that the lower the glucose concentration, the higher the oxidation rate. The aeration and the presence of ferrous sulfate as a catalyst were found to increase the rate. The optimal duration for applying the wave to the solution was found to be six hours.

• Proceedings of the Korea Concrete Institute Conference
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• 2003.05a
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• pp.853-858
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• 2003

A new method is proposed to obtain bond-slip model for an adhesive joint between FRP and concrete. Interface element, which can describe the bond behavior, is developed in order to overcome the restriction that complex constitutive relations cannot be modeled in analytic solution. Calibrating numerical bond-slip model to experimental results, multi-objective optimization problem is constructed by physical programming method, and is solved using genetic algorithm. The validity of proposed method is demonstrated by comparing known analytic solution and numerically optimized solution.

• Korean Journal of Mathematics
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• v.13 no.2
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• pp.149-159
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• 2005

We study an age-dependent s-i-s epidemic model with spatial diffusion. The model equations are described by a nonlinear and nonlocal system of integro-differential equations. Finite difference methods along the characteristics in age-time domain combined with finite elements in the spatial variable are applied to approximate the solution of the model. Stability of the discrete periodic solution is investigated.

• Resources Recycling
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• v.30 no.2
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• pp.39-45
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• 2021

Spent photovoltaic module is one of the important resource of silver, while related research concerning silver recovery remains limited. In our previous research, HNO3 was utilized to dissolve Ag(I) and Al(III) from the spent silicon solar cells. In order to recover Ag(I) from the leachate of a silicon solar cell, the present study made use of a nitrate solution containing Ag(I) and Al(III), which was subjected to a solvent extraction process with 5,8-diethyl-7-hydroxydodecan-6-oxime (LIX63). Ag(I) was selectively extracted with LIX63 over Al(III) from the nitrate leach solution. Subsequently, quantitative stripping of Ag(I) from the loaded LIX63 was performed by using 20% ammonia water. The McCabe-Thiele plots for the extraction and stripping isotherms of Ag(I) were also constructed. Extraction and stripping simulation tests confirmed an Ag(I) extraction and stripping efficiency of >99.99% and 98.9%, respectively with high purity Ag (99.998%) and Al (99.99%) solution. A process flow sheet for Ag(I) recovery from the nitrate leach solution was proposed.

• Transactions of the Korean Society of Mechanical Engineers B
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• v.29 no.2 s.233
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• pp.232-238
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• 2005

The 'Mixing Index($D_I$)' is used as a conventional guidance measuring the degree of mixing for multiphase flows. For the case when insoluble solutions flow in a passive micromixer, a new method to calculate $D_I$ is proposed. The 'Vortex Index(${\Omega}_I$)' is suggested and formulated. We infer that ${\Omega}_I$ relates to the degree of chaotic advection. Various arbitrary shaped microchannels were tested to calculate the $D_I\;and\;{\Omega}_I$, and then a simple algebraic equation, $D_I=Aexp(B{\Omega}_I)$, is obtained. This equation may be used instead of the conventional partial differential equation, concentration equation, to estimate the degree of mixing.

• Journal of Acupuncture Research
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• v.23 no.6
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• pp.117-132
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• 2006

Objectives : The purpose of this study is to investigate the effect of Ulmus davidiana Planch herbal acupuncture solution in LPS-stimulated RAW 264.7 cells and mouse knee joints, perfom1ed several experimental items: those are MIF mRNA, MIF, $TNF-{\alpha}$, $NF-{\kappa}B$ p65, iNOS mRNA, iNOS, NO, synovial hyperplasia, angiogenesis and fibrosis. Methods : In order to observe mRAN expression of MIF and iNOS in LPS-stimulated RAW 264.7 cells, RT-PCR was used. NO production in LPS-stimulated RAW 264.7 cells was measured by nitrite assay. All the female BALB/c mice were bred and maintained in pathogen-free mouse colonies and were 6 weeks of age on beginning of the experiment. The experimental model of RA was induced by injection of $50{\mu}g/kg$ LPS. Ulmus davidiana Planch herbal acupuncture solution was injected into either S 35 (犢鼻) or EX-LE 202 (內膝眼) of mice in turn daily for 19 days. Immunohistochemical staining was carried out to assess $TNF-{\alpha}$, $NF-{\kappa}B$ p65 and iNOS expression in synovial membrane. Synovial hyperplasia, angiogenesis and fibrosis in synovial membrane was observed with a microscope. Results : 1. Ulmus davidiana Planch herbal acupuncture solution inhibited mRNA expression of MIF and iNOS in dependence on a density of it in LPS-stimulated RAW 264.7 cells. 2. Ulmus davidiana Planch herbal acupuncture solution decreased synovial hyperplasia, angiogenesis and fibrosis in LPS-stimulated mouse knee joints. 3. Ulmus davidiana Planch herbal acupuncture solution curtailed production of MIF, $TNF-{\alpha}$, $NF-{\kappa}B$ p65, iNOS in LPS-stimulated mouse knee joints. Conclusion : On the basis of these results, It was shown that Ulmus davidiana Planch herbal acupuncture solution is significantly able to inhibit the production of MIF as a top in cytokines related to inflammatory or irrlll1une responses. Our results may provide that Ulmus davidiana Planch herbal acupuncture solution has beneficial effect in not only RA but other inflammatory or immune deases.