• Journal of the Chungcheong Mathematical Society
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• v.23 no.4
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• pp.731-739
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• 2010

In this paper, we prove stability of the reciprocal difference functional equation $$r\(\frac{{\sum}_{i=1}^{m}x_i}{m}\)-r\(\sum_{i=1}^{m}x_i\)=\frac{(m-1){\prod}_{i=1}^{m}r(x_i)}{{\sum}_{i=1}^{m}{\prod}_{k{\neq}i,1{\leq}k{\leq}m}r(x_k)$$ and the reciprocal adjoint functional equation $$r\(\frac{{\sum}_{i=1}^{m}x_i}{m}\)+r\(\sum_{i=1}^{m}x_i\)=\frac{(m+1){\prod}_{i=1}^{m}r(x_i)}{{\sum}_{i=1}^{m}{\prod}_{k{\neq}i,1{\leq}k{\leq}m}r(x_k)$$ in m-variables. Stability of the reciprocal difference functional equation and the reciprocal adjoint functional equation in two variables were proved by K. Ravi, J. M. Rassias and B. V. Senthil Kumar [13]. We extend their result to m-variables in similar types.

• Proceedings of the Korean Information Science Society Conference
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• 2001.10a
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• pp.589-591
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• 2001

본 논문에서는 재귀원형군 G(2$^{m}$ , 2$^{k}$ )에서 노드에 고장이 났을 경우 임의의 두 노드사이의 고장이 없는 최단경로의 길이를 분석한다. m > k+1인 G(2$^{m}$ , 2$^{k}$ )에서 m = nk+r이라 하자. 여기서 n $\geq$ 이고, 1$\leq$ r$\leq$ k이다. m > k+1인 G(2$^{m}$ , 2$^{k}$ )에서 임의의 연결도-1개 이하의 노드에 고장이 있을 경우, 모든 두 노드 사이의 고장이 없는 가장 짧은 경로들의 길이의 최대값, 즉 G(2$^{m}$ , 2$^{k}$ )의 고장지름은 n이 짝수이면 di $a_{m, k}$+2 이하이고, n이 흘수이면 di $a_{m, k}$+3 이하이다. 여기서 di $a_{m, k}$는 G(2$^{m}$ , 2$^{k}$ )의 지름이다.

• Korean Journal of Environmental Agriculture
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• v.17 no.3
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• pp.215-219
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• 1998

This experiment was conducted to investigate effects of NaCl concentration on photosynthetic rate, free proline content and ion content in tobacco. As NaCl concentration was increased growth was retarded. The decrease growth characteristics(shoot/root ratio was 2.0) at 90mM NaCl indicated that this concentration could be a limiting level. As NaCl concentration was increased photosynthetic rate, transpiration rate, and water use efficiency were decreased. Photosynthetic rate was highly decreased at 60mM NaCl. There was no significant difference between transpiration rate and water use efficiency. Leaf water potential was decreased as NaCl concentration was increased, in that twice lower at 30mM than that of control and drop largely at 120mM NaCl. Free proline content was increased as NaCl increased until 120mM NaCl and drop at 150mM NaCl. The $Ca^{2+}$, $Mg^{2+}$, and $K^+$ contents were increased until NaCl concentration was 120mM. The $Na^{2+}$ content was slowly increased as NaCl concentration increased until 120mM NaCl, and largely increased at 150mM NaCl. There was no significant difference between $Cl^-$ and NaCl treatments except 30 mM NaCl in which $Cl^-$ content was higher than that of control. As NaCl concentration was increased $K^+/Na^+$ ratio was decreased. The negative correlation between $K^+$ and $Na^+$, and positive correlation between $K^+/Na^+$ and protein content were found.

• Journal of Chest Surgery
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• v.37 no.3
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• pp.210-219
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• 2004

Extracellular $K^{+}$ concentration ([ $K^{+}$]$_{0}$ ) can be increased within several mM by the efflux of intracellular $K^{+}$. To investigate the effect of an increase in [ $K^{+}$]$_{0}$ on vascular contractility, we attempted to examine whether extracellular $K^{+}$ might modulate vascular contractility, endothelium-dependent relaxation (EDR) and intracellular $Ca^2$$^{+}$ concentration ([C $a^2$$^{+}$]$_{i}$ ) in endothelial cells (EC). We observed isometric contractions in rabbit carotid, superior mesenteric, basilar arteries and movse aorta. [C $a^2$$^{+}$]$_{i}$ was recorded by microfluorimeter using Fura-2/AM in EC. No change in contractility was recorded by the increase in [ $K^{+}$]$_{0}$ from 6 to 12 mM in conduit artery such as rabbit carotid artery. whereas resistant vessels, such as basilar and branches of superior mesenteric arteries (SMA), were relaxed by the increase. In basilar artery, the relaxation by the increase in [ $K^{+}$]$_{0}$ to from 1 to 3 mM was bigger than that by the increase from 6 to 12 mM. In contrast, in branches of SMA, the relaxation by the increase in [ $K^{+}$]$_{0}$ to from 6 to 12 mM is bigger than that by the increase from 1 to 3 mM. $Ba^2$$^{+}$ (30 $\mu$M) did not inhibit the relaxation by the increase in [ $K^{+}$]$_{0}$ from 1 to 3 mM but did inhibit the relaxation by the increase from 6 to 12 mM. In the mouse aorta without the endothelium or treated with $N^{G}$_nitro-L-arginine (30 $\mu$M), nitric oxide synthesis blocker, the increase in [ $K^{+}$]$_{0}$ from 6 to 12 mM did not change the magnitude of contraction induced either norepinephrine or prostaglandin $F_2$$_{\alpha}$. The increase in [ $K^{+}$]$_{0}$ up to 12 mM did not induce contraction of mouse aorta but the increase more than 12 mM induced contraction. In the mouse aorta, EDR was completely inhibited on increasing [ $K^{+}$]$_{0}$ from 6 to 12 mM. In cultured mouse aorta EC, [C $a^2$$^{+}$]$_{i}$ , was increased by acetylcholine or ATP application and the increased [C $a^2$$^{+}$]$_{i}$ , was reduced by the increase in [ $K^{+}$]$_{0}$ reversibly and concentration-dependently. In human umbilical vein EC, similar effect of extracellular $K^{+}$ was observed. Ouabain, a N $a^{+}$ - $K^{+}$ pump blocker, and N $i^2$$^{+}$, a N $a^{+}$ - $Ca^2$$^{+}$ exchanger blocker, reversed the inhibitory effect of extracellular $K^{+}$. In resistant arteries, the increase in [ $K^{+}$]$_{0}$ relaxes vascular smooth muscle and the underlying mechanisms differ according to the kinds of the arteries; $Ba^2$$^{+}$-insensitive mechanism in basilar artery and $Ba^2$$^{+}$ -sensitive one in branches of SMA. It also inhibits [C $a^2$$^{+}$]$_{i}$ , increase in EC and thereby EDR. The initial mechanism of the inhibition may be due to the activation of N $a^{+}$ - $K^{+}$pump. activation of N $a^{+}$ - $K^{+}$pump.p.p.p.

• Journal of Korean Academy of Nursing
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• v.28 no.4
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• pp.869-880
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• 1998

In order to investigate of the effects of rapid rotating shift work on physiological stress, the activities of urinary Na$^{+}$, $K^{+}$, Cl$^{[-10]}$ were measured in 14 rotational shift nurses, during day shifts(8AM-4PM, n=4), evening shifts(4PM-l2MN, n=5), and night shifts(12MN-8AM, n=5) in hospital twenty students attending nursing college a used as a control group. Urine specimens were collected in 30 minutes before and after work on the second day of shift work. In day shift nurses, Na$^{+}$ activity was 137mM at 8AM and increased to 206mM at 4PM, whereas $K^{+}$ activity was 42mM at 8AM and no significant change at 4PM. Cl$^{[-10]}$ activity was changed from 234mM to 344mM at 4PM at 8AM. In the evening shift, Na$^{+}$ activity was 117mM at 4PM and 140mM at 12MN, $K^{+}$ activity was 22mM and 32mM, respectively. Cl$^{[-10]}$ activity was 169mM and changed to 270mM. During the night shift, Na$^{+}$ activity was 128mM at 12MN and changed to 161mM at 8AM, $K^{+}$ activity was 42mM at 12MN and 8AM, and Cl$^{[-10]}$ activity was from 303mM and changed to 355mM. In general, the urinary ion activities seemed to increase after work, however there were no significant changes in ion activities except the Na$^{+}$ increase in day shift. The mean of the activities of $K^{+}$ and Cl$^{[-10]}$ before and after work during the day and night shift were significantly higher than those in control group (P＜0.05). $K^{+}$ activities were also higher than that of evening shift(P＜0.05). However, there was no difference in Na$^{+}$ activity among the control group and three shifts. There was a significant relationship among urinary Na$^{+}$, Cl$^{[-10]}$ and $K^{+}$ in the control group and rotating shift nurses except between Na$^{+}$ and $K^{+}$ in shift. The relationship between Na$^{+}$ and Cl$^{[-10]}$ was low in shift work and there was no significant relationship between Na$^{+}$ and $K^{+}$ in shift, suggesting that the active regulation $K^{+}$ and/or Na$^{+}$ in response to stress upon the shift work disruped the ratio of urinary Na$^{+}$ to $K^{+}$ and also lowered the relationship between $K^{+}$ and Cl$^{[-10]}$ . These results suggest that nurses working the day shift were overloaded and under stress, and the night shift interfered with the physiological rhythm of the nurses.red with the physiological rhythm of the nurses.

• Journal of Korean Academy of Oral and Maxillofacial Radiology
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• v.20 no.2
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• pp.253-264
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• 1990

The purpose of this study was to estimate the distribution of absorbed doses of each important organs of head and neck region in panoramic radiography. Radiation dosimetry at internal anatomic sites and skin surfaces of phantom (RT-210 Humanoid Head & Neck Section/sup R/) was performed with lithium fluoride (TLD-100/sup R/) thermoluminescent dosimeters according to change of kilovoltage (65kVp, 75kVp and 85kVp) with 4 miliamperage and 20 second exposure time. The results obtained were as follows; Radiation absorbed doses of internal anatomic sites were presented the highest doses of 1.04 mGy, 1.065 mGy and 2.09 mGy in nasopharynx, relatively high doses of 0.525 mGy, 0.59 mGy and 1.108 mGy in deep lobe of parotid gland, 0.481 mGy, 0.68 mGy and 1.191 mGy in submandibular gland. But there were comparatively low doses of 0.172 mGy and 0.128 mGy in eyes and thyroid gland that absorbed dose was estimated at 85kVp. Radiation absorbed doses of skin surfaces were presented the highest doses of 1. 263 mGy, 1.538 mGy and 2.952 mGy in back side of first cervical vertebra and relatively high doses of 0.267 mGy, 0.401 mGy and 0.481 mGy in parotid gland. But there were comparatively low doses of 0.057 mGy, 0.068 mGy and 0.081 mGy in philtrum and 0.059 mGy in middle portion of chin that absorbed dose was estimated at 85kVp. According to increase of kilovoltage, the radiation absorbed doses were increased 1.1 times when kilovolt age changes from 65kVp to 75kVp and 1.9 times when kilovolt age changes from 75kVp to 85kVp at internal anatomic sites. According to increase of kilovoltage, the radiation absorbed doses were increased 1.3 times when kilovolt age changes from 65kVp to 75kVp and 1.6 times when kilovoltage changes from 75kVp to 85kVp at skin surfaces.

• Journal of the Korea Computer Graphics Society
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• v.9 no.4
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• pp.25-30
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• 2003

본 논문에서는 서로 다른 개수의 정점을 가지는 두 다면체 사이의 점진적 다면체 모델 표현(Progressive Mesh Representation)을 계산하는 휴리스틱 방법을 제시한다. 정점의 개수가 각각 n, k개 인 두 다면체 모델 $M^n$, $M^k$ (n > k)에 대하여 $M^n$에서 서로 다른 k개의 정점을 선택한다. 선택된 k개의 정점을 기준으로 $M^n$의 모든 정점에 대한 클러스터링을 수행하여 k개의 정점군(Vertex Set)을 생성한다. $M^n$을 간략화하여 k개의 정점만을 가지는 모델 $M^{k'}$의 위상정보(Topology)를 $M^k$와 동일하게 유지하기 위하여 $M^n$ 정점군들의 위상정보를 수정한다. 수정 생성된 정점군 내에서 선분병합(Edge Collapse)을 수행하면, 위상정보를 유지하면서 $M^n$에서 $M^k$로 변화하는 점진적 다면체 모델 표현을 얻을 수 있다. $M^{k'}$과 $M^k$의 정점간의 기하학적 위치차이를 선형보간하여 선분병합이 일어날때 마다 반영하면 $M^n$에서 $M^k$로 기하정보를 부드럽게 유지하면서 변화하는 점진적 다면체 모델 표현을 얻을 수 있다. 본 논문의 연구결과는 기존의 DLoD(Discrete Level of Detail)를 지원하는 게임을 CLoD(Continuous Level of Detail)를 지원하는 게임으로 확장하는 등의 다양한 컴퓨터 그래픽스 응용문제에 사용할 수 있다.

• The Bulletin of The Korean Astronomical Society
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• v.41 no.1
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• pp.61.2-61.2
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• 2016

우리는 1997년부터 현재까지 보현산천문대 1.8 미터 망원경과 이 망원경에 부착한 1K CCD, 2K CCD와 4K CCD를 이용하여 가까운 북반구 구상성단에 대하여 (U)BVI CCD 측광 관측을 수행해오고 있다. 2K CCD를 통한 관측 자료를 통해서 우리는 북반구 구상성단 M3, M13, M15, M53과 M92의 정밀한 색-등급도를 도출할 수 있었다. 이 색-등급도를 통해서 M3, M13, M15와 M92의 경우는 밝은 계열 별(특히 점근거성가지별)의 특성 및 종족비(R과 R2)와 적색거성가지별의 광도함수를 유도하였고, M53과 M92의 경우는 상대나이를 유도함으로써 구상성단의 제 2 계수 문제를 규명하고자 하였다. 우리는 추가로 북반구 구상성단 M5, M10과 M71의 정밀한 색-등급도를 도출하여 밝은 계열 별의 특성을 규명하고 적색거성가 지별의 광도함수를 유도함으로써 종족 II 항성의 진화 문제를 연구하고자 한다. 현재 운영 중인 4K CCD를 통해서 구상성단 M2, M3, M5, M13, M15, M53, M71과 M92를 관측하고 있으며 2K CCD 경우보다 어두운 주계열성까지의 측광 자료 도출에 주목적이 있다($V{\approx}23$ 등급까지). 도출한 측광 자료를 2K CCD 측광 자료와 결합하여 북반구 구상성단 구성별의 고유운동 자료를 도출하고자 하며 이의 활용 방안에 대하여 논의하고자 한다. 더불어 그 동안 보현산천문대에서의 관측 여건에 대해서도 논의하고자 한다.

• The Korean Journal of Physiology
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• v.20 no.2
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• pp.184-191
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• 1986

Membrane potential of cells in the isolated rabbit coronary sinus was measured by conventional glass microelectrode and investigated the effect of $[K^+]_0$ variation in control, 20 mM and Ach-containing Tyrode solution. The results obtained were as follows: 1) The resting membrane potential exposed to normal Tyrode solution containing 3 mM $K^+\;was\;about\;-60{\sim}\;-65mV$. At extracellular $K^+$ concentrations from 1 to 30 mM the resting Potential was reasonably well described by Goldman -Hodgkin -Katz equation on the assumption that $[K^+]_1$ was 150 mM and that the ratio of membrane permeability coefficient for $Na^+\;and\;K^+,\;P_{Na}/P_K\;({\alpha})$ was 0.07. 2) In 20 mM Na-Tyrode solution (replacing by equimolar Tris) the resting membrane potential was hyperpolarized by 15 to 20 mV and showed slightly deviated to depolarized direction compared to the predicted value by Goldman-Hodgkin -Katz equation. 3) In the presence of $10^{-6}M$ Ach, the resting potentials at $[K^+]_0$ levels from 1 to 30 mM were well fitted with the predicted value on the assumption that $P_{Na}/P_K$ was 0.0144. It could be concluded that the low resting membrane potential of coronary sinus cells reflects a relatively high ratio $P_{Na}/P_K$ of about 0.07.

• Journal of Life Science
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• v.25 no.5
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• pp.487-495
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• 2015

We carried out pH stability, chemical inhibition, chemical modification, and pH-dependent kinetic parameter assessments to further characterize protocatechuate 3,4-dioxygenase from Pseudomonas pseudoalcaligenes KF707. Protocatechuate 3,4-dioxygenase was stable in the pH range of 4.5~10.5. L-ascorbate and glutathione were competitive inhibitors with $K_{is}$ values of 0.17 mM and 0.86 mM, respectively. DL-dithiothreitol was a noncompetitive inhibitor with a $K_{is}$ value of 1.57 mM and a $K_{ii}$ value of 8.08 mM. Potassium cyanide, p-hydroxybenzoate, and sodium azide showed a noncompetitive inhibition pattern with $K_{is}$ values of 55.7 mM, 0.22 mM, and 15.64 mM, and $K_{ii}$ values of 94.1 mM, 8.08 mM, and 662.64 mM, respectively. $FeCl_{2}$ was the best competitive inhibitor with a $K_{is}$ value of $29{\mu}M$. $FeCl_{3}$, $MnCl_{2}$, $CoCl_{2}$, and $AlCl_{3}$ were also competitive inhibitors with $K_{is}$ values of 1.21 mM, 0.85 mM, 3.98 mM, and 0.21 mM, respectively. Other metal ions showed noncompetitive inhibition patterns. The pH-dependent kinetic parameter data showed that there may be at least two catalytic groups with pK values of 6.2 and 9.4 and two binding groups with pK values of 5.5 and 9.0. Lysine, cysteine, tyrosine, carboxyl, and histidine were modified by their own specific chemical modifiers, indicating that they are involved in substrate binding and catalysis.