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IDENTIFICATION PROBLEMS FOR THE SYSTEM GOVERNED BY ABSTRACT NONLINEAR DAMPED SECOND ORDER EVOLUTION EQUATIONS

  • Ha, Jun-Hong;Nakagiri, Shin-Ichi
    • Journal of the Korean Mathematical Society
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    • v.41 no.3
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    • pp.435-459
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    • 2004
  • Identification problems for the system governed by abstract nonlinear damped second order evolution equations are studied. Since unknown parameters are included in the diffusion operator, we can not simply identify them by using the usual optimal control theories. In this paper we present how to solve our identification problems via the method of transposition.

NOTE ON STIRLING POLYNOMIALS

  • Choi, Junesang
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.3
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    • pp.591-599
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    • 2013
  • A large number of sequences of polynomials and numbers have arisen in mathematics. Some of them, for example, Bernoulli polynomials and numbers, have been investigated deeply and widely. Here we aim at presenting certain interesting and (potentially) useful identities involving mainly in the second-order Eulerian numbers and Stirling polynomials, which seem to have not been given so much attention.

Identification of Lanosterol and Ergosterol in Sarcodon aspratus Berk. (S. Ito) (능이버섯에서의 lanosterol과 ergosterol의 확인)

  • 김종봉;박홍덕
    • Journal of Life Science
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    • v.10 no.6
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    • pp.617-620
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    • 2000
  • Methanol extract of Sarcodon aspratus Berk. (S. Ito) was analyzed by thi layer chromatography, gas chromatography and mass spectrophotometer. Nine fractions from primary methanol extract were observed by TLC. Six fractions were observed by the second TLC analysis of the second and the third fractions. 27,28-digydrolanosterol({TEX}$C_{30}H_{52}${/TEX}O), ergost-7-en-3-ol({TEX}$C_{28}H_{48}${/TEX}O) were identified from two fractions of the second TLC analysis by mass spectrophotometer. The molecular weights of 27,28-dihydrolanosterol and ergost-7-en-3-ol were 413 and 400 respectively.

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Second Harmonic Generation and Frequency Stabilization of a Diode Laser Using an External Ring Resonator

  • Kwon, Taeg-Yong;Yang, Sung-Hoon;Lee, Ho-Seong
    • Journal of the Optical Society of Korea
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    • v.2 no.1
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    • pp.1-4
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    • 1998
  • The second harmonic light of an 842 nm diode laser was generated from a KNbO3 crystal in an external ring resonator. The power of the second harmonic light was about 0.8 mV at an input fundamental power of 87 mW. The laser frequency was stabilized to the resonance frequency of the ring resonator, and the frequency fluctuation was measured as about 3 MHz.

GENERALIZED SECOND-ORDER DIFFERENTIAL EQUATIONS WITH TWO-POINT BOUNDARY CONDITIONS

  • Kim, Young Jin
    • The Pure and Applied Mathematics
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    • v.26 no.3
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    • pp.157-175
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    • 2019
  • In this paper we define higher-order Stieltjes derivatives, and using Schaefer's fixed point theorem we investigate the existence of solutions for a class of differential equations involving second-order Stieltjes derivatives with two-point boundary conditions. The equations include ordinary and impulsive differential equations, and difference equations.

Melatonin Attenuates Mitochondrial Damage in Aristolochic Acid-Induced Acute Kidney Injury

  • Jian Sun;Jinjin Pan;Qinlong Liu;Jizhong Cheng;Qing Tang;Yuke Ji;Ke Cheng;Rui wang;Liang Liu;Dingyou Wang;Na Wu;Xu Zheng;Junxia Li;Xueyan Zhang;Zhilong Zhu;Yanchun Ding;Feng Zheng;Jia Li;Ying Zhang;Yuhui Yuan
    • Biomolecules & Therapeutics
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    • v.31 no.1
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    • pp.97-107
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    • 2023
  • Aristolochic acid (AA), extracted from Aristolochiaceae plants, plays an essential role in traditional herbal medicines and is used for different diseases. However, AA has been found to be nephrotoxic and is known to cause aristolochic acid nephropathy (AAN). AA-induced acute kidney injury (AKI) is a syndrome in AAN with a high morbidity that manifests mitochondrial damage as a key part of its pathological progression. Melatonin primarily serves as a mitochondria-targeted antioxidant. However, its mitochondrial protective role in AA-induced AKI is barely reported. In this study, mice were administrated 2.5 mg/kg AA to induce AKI. Melatonin reduced the increase in Upro and Scr and attenuated the necrosis and atrophy of renal proximal tubules in mice exposed to AA. Melatonin suppressed ROS generation, MDA levels and iNOS expression and increased SOD activities in vivo and in vitro. Intriguingly, the in vivo study revealed that melatonin decreased mitochondrial fragmentation in renal proximal tubular cells and increased ATP levels in kidney tissues in response to AA. In vitro, melatonin restored the mitochondrial membrane potential (MMP) in NRK-52E and HK-2 cells and led to an elevation in ATP levels. Confocal immunofluorescence data showed that puncta containing Mito-tracker and GFP-LC3A/B were reduced, thereby impeding the mitophagy of tubular epithelial cells. Furthermore, melatonin decreased LC3A/B-II expression and increased p62 expression. The apoptosis of tubular epithelial cells induced by AA was decreased. Therefore, our findings revealed that melatonin could prevent AA-induced AKI by attenuating mitochondrial damage, which may provide a potential therapeutic method for renal AA toxicity.

A study on the periodontal status of second molar adjacent third molar (제 3대구치와 인접한 제 2대구치의 치주상태에 대한 고찰)

  • Lee, Hae-Doo;Hong, Ki-Seok;Chung, Chin-Hyung;Lim, Sung-Bin
    • Journal of Periodontal and Implant Science
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    • v.36 no.2
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    • pp.489-502
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    • 2006
  • The purpose of this study was to determine the relationship between the third molar and periodontal status of the adjacent second molar. Fifty patients who had four maxillary and mandibular second molars were consecutively selected for the study subjects. The subjects provided a total of 200 molars, i. e., 100 maxillary and 100 mandibular molars, and classified the groups as follows; third molars that are normally erupted are control group, that are impacted are test 1 group, that are simply extracted are test 2 group, that are surgically extracted are test 3 group. Probing depth, plaque index, gingival index and mobility were measured. The results were as follows. 1. In mesial probing depth, there was no significantly difference. In distal probing depth, there was a significantly difference between control group and test 1 & 3 group in maxilla and between control & test 2 group and test 1& 3 group in mandible(p<0.05). 2. In buccal probing depth, there was a significantly difference between test 2 group and test 3 group in mandible. In lingual probing depth, there was a significantly difference between control group and test 1 & 3 group in mandible(p<0.05). 3. In plaque index, there was a significantly difference between test 1 group and test 2 group in maxilla, between test 1 group and control & test 2 group in mandible(p<0.05). 4. In gingival index, there was a significantly difference between control group and test 1 & 3 group in mandible. In mobility, there was no significantly difference(p<0.05). As a result of this study, the second molars adjacent to the third molars that are impacted or surgically extracted had poor prognosis, so impacted third molars should be extracted in early time and the second molars are actively treated for periodontal health.

Melatonin protects endothelial progenitor cells against AGE-induced apoptosis via autophagy flux stimulation and promotes wound healing in diabetic mice

  • Jin, Haiming;Zhang, Zengjie;Wang, Chengui;Tang, Qian;Wang, Jianle;Bai, Xueqin;Wang, Qingqing;Nisar, Majid;Tian, Naifeng;Wang, Quan;Mao, Cong;Zhang, Xiaolei;Wang, Xiangyang
    • Experimental and Molecular Medicine
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    • v.50 no.11
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    • pp.13.1-13.15
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    • 2018
  • Wound healing is delayed in diabetic patients. Increased apoptosis and endothelial progenitor cell (EPC) dysfunction are implicated in delayed diabetic wound healing. Melatonin, a major secretory product of the pineal gland, promotes diabetic wound healing; however, its mechanism of action remains unclear. Here, EPCs were isolated from the bone marrow of mice. Treatment of EPCs with melatonin alleviated advanced glycation end product (AGE)-induced apoptosis and cellular dysfunction. We further examined autophagy flux after melatonin treatment and found increased light chain 3 (LC3) and p62 protein levels in AGE-treated EPCs. However, lysosome-associated membrane protein 2 expression was decreased, indicating that autophagy flux was impaired in EPCs treated with AGEs. We then evaluated autophagy flux after melatonin treatment and found that melatonin increased the LC3 levels, but attenuated the accumulation of p62, suggesting a stimulatory effect of melatonin on autophagy flux. Blockage of autophagy flux by chloroquine partially abolished the protective effects of melatonin, indicating that autophagy flux is involved in the protective effects of melatonin. Furthermore, we found that the AMPK/mTOR signaling pathway is involved in autophagy flux stimulation by melatonin. An in vivo study also illustrated that melatonin treatment ameliorated impaired wound healing in a streptozotocin-induced diabetic wound healing model. Thus, our study shows that melatonin protects EPCs against apoptosis and dysfunction via autophagy flux stimulation and ameliorates impaired wound healing in vivo, providing insight into its mechanism of action in diabetic wound healing.