• Title/Summary/Keyword: M.P.S.

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POSITIVE SOLUTIONS FOR MULTIPOINT BOUNDARY VALUE PROBLEMS WITH ONE-DIMENSIONAL p-LAPLACIAN OPERATOR

  • Xu, Fuyi;Meng, Zhaowei;Zhao, Wenling
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.457-469
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    • 2008
  • In this paper, we study the existence of positive solutions for the following nonlinear m-point boundary value problem with p-Laplacian: $\{{{{(\phi_p(u'))'\;+\;f(t,u(t))=0, \;0<t<1,} \atop u'(0)={\sum}{^{m-2}_{i=1}}\;a_iu'(\xi_i),} \atop u(1)={\sum}{^k_{i=1}}\;b_iu(\xi_i)\;-\;{\sum}{^s_{i=k+1}}\;b_iu(\xi_i)\;-\;{\sum}{^{m-2}_{i=s+1}}\;b_iu'(xi_i),}$ where ${\phi}_p(s)$ is p-Laplacian operator, i.e., ${\phi}_p(s)=\mid s\mid^{p-2}s$, p>1, ${\phi}_q\;=\;({\phi}_p)^{-1}$, $\frac{1}{p}+\frac{1}{q}=1$, $1\;{\leq}\;k\;{\leq}\;s\;{\leq}m\;-\;2$, $b_i\;{\in}\;(0,+{\infty})$ with $0\;<\;{\sum}{^k_{k=1}}\;b_i\;-\;{\sum}{^s_{i=k+1}}\;b_i\;<\;1$, $0\;<\;{\sum}{^{m-2}_{i=1}}\la_i\;<\;1$, $0\;<\;{\xi}_1\;<\;{\xi}_2\;<\;{\cdots}\;<\;{\xi}_{m-2}\;<\;1$, $f\;{\in}\;C([0,\;1]\;{\times}\;[0,\;+{\infty}),\;[0,\;+{\infty}))$. We show that there exists one or two positive solutions by using fixed-point theorem for operator on a cone. The conclusions in this paper essentially extend and improve the known results.

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Relationship between the Micellization of TTAB and the Solubilization of p-Bromophenol in TTAB Solution (TTAB 용액에서 p-브로모페놀의 가용화와 TTAB의 미셀화와의 상관관계에 대한 연구)

  • Lee, Byung-Hwan
    • Journal of the Korean Chemical Society
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    • v.57 no.6
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    • pp.665-671
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    • 2013
  • The solubilization of p-bromophenol by the micellar system of TTAB(tetradecyltrimethylammonium bromide) and the micellization of TTAB were studied by the UV-vis spectrophotometric method simultaneously. And the effects of temperature on these properties have been measured for the thermodynamic study. The results show that the ${\Delta}G_s{^o}$ and ${\Delta}H_s{^o}$ values are negative and the ${\Delta}S_s{^o}$ values are positive for the solubilization of p-bromophenol within the measured range. On the other hand, the ${\Delta}G_m{^o}$ values are negative and the ${\Delta}H_m{^o}$ and ${\Delta}S_m{^o}$ values are positive for the micellization of TTAB. The effects of additives such as n-butanol and NaCl have been studied also for both properties and the relationship between these two properties has been also studied. From the results, we can postulate the solubilization site of p-bromophenol in the micelle.

[Lp] ESTIMATES FOR A ROUGH MAXIMAL OPERATOR ON PRODUCT SPACES

  • AL-QASSEM HUSSAIN MOHAMMED
    • Journal of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.405-434
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    • 2005
  • We establish appropriate $L^p$ estimates for a class of maximal operators $S_{\Omega}^{(\gamma)}$ on the product space $R^n\;\times\;R^m\;when\;\Omega$ lacks regularity and $1\;\le\;\gamma\;\le\;2.\;Also,\;when\;\gamma\;=\;2$, we prove the $L^p\;(2\;{\le}\;P\;<\;\infty)\;boundedness\;of\;S_{\Omega}^{(\gamma)}\;whenever\;\Omega$ is a function in a certain block space $B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ (for some q > 1). Moreover, we show that the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is nearly optimal in the sense that the operator $S_{\Omega}^{(2)}$ may fail to be bounded on $L^2$ if the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is replaced by the weaker conditions $\Omega\;{\in}\;B_q^{(0,\varepsilon)}(S^{n-1}\;\times\;S^{m-1})\;for\;any\;-1\;<\;\varepsilon\;<\;0.$

Effect of Sodium Bicarbonate Injection in Pre-rigor Porcine M. Longissimus lumborum on Pork Quality

  • Yang, H.S.;Moon, S.S.;Jeong, J.Y.;Choi, S.G.;Joo, S.T.;Park, G.B.
    • Asian-Australasian Journal of Animal Sciences
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    • v.19 no.6
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    • pp.898-904
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    • 2006
  • Effects of sodium bicarbonate (SBC) injection on meat quality and functionality of porcine M. longissimus lumborum were investigated. Fifteen pigs ($100{\pm}5kg$) were randomly selected at a commercial slaughter plant. After slaughtering the loins were dissected from the carcass before chilling at approximately 30 minutes post mortem. The loins were divided into four cuts for sample treatment, and SBC of 0.25 M, 0.40 M and 0.75 M was injected (2% w/w) using a syringe. As SBC injection level was increased, muscle pH increased significantly (p<0.05). SBC injection decreased lightness ($L^*$) values on the surface of muscle. Moreover, with injection of SBC, drip loss %, cooking loss % and shear force were significantly (p<0.05) decreased, whereas WHC and $Na^+$ content were significantly (p<0.05) increased. From panel testing of uncooked pork loin, no significant differences (p>0.05) were found in aroma, off-flavor and drip between injection of SBC at different levels and the control, although color and acceptability were significantly lower (p<0.05) in control pork loin compare with injection of SBC at 0.75 M. In cooked pork loin from the panel test, aroma, flavour, off-flavour and juiciness were found to be similar (p>0.05) on all treatments, but tenderness and acceptability were significantly higher (p<0.05) with injection of SBC at 0.75 M than for control loin. Myofibrillar protein solubility of muscles treated with SBC was significantly (p<0.05) higher than that of the control, although no significant differences (p>0.05) were found in sarcoplasmic protein solubility between the treatments. These results indicated that SBC injection into pre-rigor porcine M. longissimus lumborum could improve ultimate pork quality characteristics such as meat color, water-holding capacity, and could inhibit muscle protein denaturation due to an increase in muscle pH.

DEPTOR Expression Negatively Correlates with mTORC1 Activity and Tumor Progression in Colorectal Cancer

  • Lai, Er-Yong;Chen, Zhen-Guo;Zhou, Xuan;Fan, Xiao-Rong;Wang, Hua;Lai, Ping-Lin;Su, Yong-Chun;Zhang, Bai-Yu;Bai, Xiao-Chun;Li, Yun-Feng
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.11
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    • pp.4589-4594
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    • 2014
  • The mammalian target of rapamycin (mTOR) signaling pathway is upregulated in the pathogenesis of many cancers, including colorectal cancer (CRC). DEPTOR is an mTOR inhibitor whose expression is negatively regulated by mTOR. However, the role of DEPTOR in the development of CRC is not known. The aim of this study was to investigate the expression of DEPTOR and mTORC1 activity (P-S6) in a subset of CRC patients and determine their relation to tumor differentiation, invasion, nodal metastasis and disease-free survival. Here, Immunohistochemical expression of P-S6 (S235/236) and DEPTOR were evaluated in 1.5 mm tumor cores from 90 CRC patients and in 90 samples of adjacent normal mucosa by tissue microarray. The expression of P-S6 (S235/236) was upregulated in CRC, with the positive rate of P-S6 (S235/236) in CRC (63.3%) significantly higher than that in control tissues (36.7%, 30%) (p<0.05). P-S6 (S235/236) also correlated with high tumor histologic grade (p=0.002), and positive nodal metastasis (p=0.002). In contrast, the expression level of DEPTOR was correlated with low tumor histological grade (p=0.006), and negative nodal metastasis (p=0.001). Interestingly, P-S6 (S235/236) expression showed a significant negative association with the expression of DEPTOR in CRC (p=0.011, R= -0.279). However, upregulation of P-S6 (S235/236) (p=0.693) and downregulation of DEPTOR (p=0.331) in CRC were not significantly associated with overall survival. Thus, we conclude that expression of DEPTOR negatively correlates with mTORC1 activity and tumor progression in CRC. DEPTOR is a potential marker for prognostic evaluation and a target for the treatment of CRC.

Synthesis and Antimicrobial Screening of Some Fluorinated Azoles Containing (2-(6-Methyl-2-P-tolyl-lH-imidazo[1,2-a]pyridin-3-yl) Nucleus ((2-(6-Methyl-2-P-tolyl-lH-imidazo[1,2-a]pyridin-3-yl)핵종을 가지고 있는 불소화된 아조화합물의 합성과 항균활성의 스크리닝)

  • Shelke, Sharad;Salunkhe, Nilesh;Sangale, Sandeep;Bhalerao, Swapnil;Naik, Nilesh;Mhaske, Ganesh;Jadhav, Ranjana;Karale, Bhausaheb
    • Journal of the Korean Chemical Society
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    • v.54 no.1
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    • pp.59-64
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    • 2010
  • The synthesis of a series of fluorinated thiadiazoles 3, triazoles 4 and oxadiazoles 5 are synthesized from thiosemicarbazides 2 containing (2-(6-methyl-2-p-tolyl-lH-imidazo[1,2-a]pyridin-3-yl nucleus. These reactions were carried out by conventional method as well as ultra sound irradiation method. All products have been characterized by IR, 1H NMR, MS study and screened for their antimicrobial activity.

GENERALIZATION OF THE FROBENIUS THEOREM ON INVOLUTIVITY

  • Han, Chong-Kyu
    • Journal of the Korean Mathematical Society
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    • v.46 no.5
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    • pp.1087-1103
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    • 2009
  • Given a system of s independent 1-forms on a smooth manifold M of dimension m, we study the existence of integral manifolds by means of various generalized versions of the Frobenius theorem. In particular, we present necessary and sufficient conditions for there to exist s'-parameter (s' < s) family of integral manifolds of dimension p := m-s, and a necessary and sufficient condition for there to exist integral manifolds of dimension p', p' $\leq$ p. We also present examples and applications to complex analysis in several variables.

Antibacterial Activity of Aqueous Garlic Extract Against Escherichia coli O157:H7, Salmonella typhimurium and Staphylococcus aureus (마늘 물추출물의 Escherichia coli O157:H7, Salmonella typhimurium, Staphylococcus aureus에 대한 항균활성)

  • Lee, Seung-Yoon;Nam, Sang-Hyun;Lee, Hyun-Jung;Son, Song-Ee;Lee, Hu-Jang
    • Journal of Food Hygiene and Safety
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    • v.30 no.2
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    • pp.210-216
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    • 2015
  • This study was investigated about the antibacterial effects of aqueous garlic extract (AGE) against Escherichia coli O157:H7 (E. coli O157:H7), Salmonella typhimurium (S. typhimurium) and Staphylococcus aureus (S. aureus). The minimum inhibitory concentration (MIC) of AGE against E. coli O157:H7, S. typhimurium, and S. aureus was 24, 48 and 24 mg/mL, respectively. In addition, the minimum bactericidal concentration (MBC) of AGE against E. coli O157:H7, S. typhimurium, and S. aureus was all of 96 mg/mL. The growth of E. coli O157:H7 was significantly inhibited at the concentration of AGE 24 mg/mL at 24 hr post-incubation (p < 0.01), but that of S. aureus was not significantly inhibited at the same concentration. However, the growth of S. aureus at the concentration of AGE 96 mg/mL was significantly inhibited at 24 hr post-incubation compared to that of untreated bacteria (p < 0.01). At the concentration of AGE 48 (p < 0.05) and 96 mg/mL (p < 0.001), the growth of S. typhimurim was significantly inhibited at 24 hr after incubation compared to that of untreated bacteria. With the results of this study, AGE can be used as alternative to antibiotics and chemical food preservatives.

The Effect of Glycyrrhizic acid on Vascular Contractility (혈관수축에 대한 감초산 Glycyrrhizic acid의 효과)

  • Hyun Dong Je;Young Sil Min
    • Journal of Industrial Convergence
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    • v.21 no.10
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    • pp.57-63
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    • 2023
  • This study aims to elucidate the effect of glycyrrhizic acid on smooth muscle contraction and to determine the detailed mechanism incorporated. We hypothesized that glycyrrhizic acid played a role in the agonist-sensitive management of smooth muscle contraction. Stripped smooth muscles of Sprague-Dawley rats were prepared in organ baths and isometric tensions were converted, stored and analyzed by using isometric transducers, a physiograph and one way ANOVA. Interestingly, glycyrrhizic acid attenuated the thick filament regulating agonist (fluoride or thromboxane mimetic)-sensitive contraction (p=0.113, 0.008, 0.004 (Student's t-test), p=0.113, 0.008, 0.004 (One way ANOVA) at 0.01, 0.03, 0.1 mM fluoride, and p=0.156, 0.004, 0.003 (Student's t-test), p=0.156, 0.004, 0.003 (One way ANOVA) at 0.01, 0.03, 0.1 mM thromboxane mimetic) and did not attenuate the thin filament regulating agonist (phorbol ester)-induced contraction (p=0.392, 0.086, 0.065 (Student's t-test), p=0.392, 0.086, 0.065 (One way ANOVA) at 0.01, 0.03, 0.1 mM phorbol ester). It is suggesting that endothelial EDRF (NO) synthesis and accessory pathways besides endothelial EDRF (NO) synthesis such as ROCK restriction might be incorporated in the glycyrrhizic acid-induced modulation of smooth muscle contraction inhibiting acto-myosin interaction.

Comments on "Air Quality Impact Analysis of Point and Area Sources" ("점오염원과 면오염원의 대기환경영향 분석"에 대하여)

  • 김영성
    • Journal of Korean Society for Atmospheric Environment
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    • v.9 no.3
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    • pp.255-256
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    • 1993
  • Recently, Ghim and Son (1993) compared the air quality impacts of two point sources P1 and P3 in Seoul in the first quarter of 1988, whose emission rates were 99.9g/s and 49.4g/s, and whose stack heights were 75m and 21m. They said that higher concentrations from P3 in the nearby area were responsible for shorter stack height of P3. But concentrations were not raised so high only because the stack height was reduced from 75m to 21m. Volume of exit gas from P3 was also much smaller than that from P1.

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