• Title/Summary/Keyword: S-contraction of type E

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NEW APPROXIMATE FIXED POINT RESULTS FOR VARIOUS CYCLIC CONTRACTION OPERATORS ON E-METRIC SPACES

  • R. THEIVARAMAN;P. S. SRINIVASAN;S. RADENOVIC;CHOONKIL PARK
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.27 no.3
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    • pp.160-179
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    • 2023
  • In this paper, we investigate the existence and diameter of the approximate fixed point results on E-metric spaces (not necessarily complete) by using various cyclic contraction mappings, including the B-cyclic contraction, the Bianchini cyclic contraction, the Hardy-Rogers cyclic contraction, and so on. Additionally, we prove the approximate fixed point results for rational type cyclic contraction mappings, which were discussed mainly in [35] and [37], in the setting of E-metric space. Also, a few examples are provided to demonstrate our findings. Subsequently, we discuss some applications of approximate fixed point results in the field of applied mathematics rigorously.

FIXED POINTS FOR S-CONTRACTIONS OF TYPE E ON S-METRIC SPACES

  • Thangjam Bimol;N. Priyobarta;Yumnam Rohen;Kumam Anthony Singh
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.3
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    • pp.635-648
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    • 2024
  • In this paper, we extend the concept of S-contractions of type E in an S-metric space. Further, by combining simulation function and S-contractions of type E, we examine the existence and uniqueness of fixed point in a complete S-metric space. Sufficient examples are provided and application to the solution of integral equation is also made.

Effects of Endothelin-1 on $Ca^{2+}$ Signaling in Guinea-Pig Ventricualr Myocytes: Role of Protein Kinase C

  • Woo, Sun-Hee;Lee, Chin-Ok
    • Proceedings of the Korean Biophysical Society Conference
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    • 1998.06a
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    • pp.37-37
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    • 1998
  • Effects of endothelin-l (ET-l) on contraction, $Ca^{2+}$ transient and L -type $Ca^{2+}$ current ( $I_{Ca,L}$) were investigated in single ventricular myocytes isolated from guinea-pig hearts. ET-l at concentrations of 5 and 10 nM produced a biphasic pattern of inotropism: a first decrease in contraction by 34.4$\pm$2.5 % of the control followed by a sustained increase in contraction by 66.6$\pm$8.4% (mean$\pm$S.E.M., n=9).(omitted)

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A Stochastic Model of Muscle Fatigue in Cyclic Heavy Exertions$\cdots$Formulation

  • Lee, Myun-W.;Pollock, Stephen M.;Chaffin, Don B.
    • Journal of Korean Institute of Industrial Engineers
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    • v.5 no.2
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    • pp.21-36
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    • 1979
  • Static muscle contractions when prolonged or frequently repeated result in discomfort, fatigue, and musculosketal injuries. An analytic and quantitative model has been developed in order to expand the working knowledge on muscle fatigue. In this paper, three Markov models of muscle fatigue are developed. These models are based on motor unit fatigue-recovery characteristics obtained from information on motor unit behavior as it relates to fatigue and graded exertions. Three successively more realistic models are developed that involve: (1) homogeneous motor units with intensity-dependent fatigue rates and state-independent recovery rates (the HMSI model); (2) homogeneous motor units, intensity-dependent fatigue rates and state-dependent recovery rates (the HMSD model); and (3) non-homogeneous motor units (i.e., Type S and Type F), intensity-dependent fatigue rates and state-dependent recovery rates (the HMSD model). The result indicate that a simple stochastic model provide a means to analyze the complex nature of muscle fatigue in sequential static exertions.

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Variation of Flexural Strength of Warm-mix Asphalt Concretes Due to Differential Thermal Contraction at Low Temperatures (저온하에서 시차열 수축에 의한 WMA 콘크리트의 휨강도 변화)

  • Choi, Jung-Soon;Kim, Sung-Un;Kim, Kwang-Woo
    • International Journal of Highway Engineering
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    • v.14 no.4
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    • pp.63-72
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    • 2012
  • PURPOSES : Hot-mix asphalt(HMA) concretes show a trend of strength increase at low temperature due to binder stiffness increase, but strength decrease below a ceratin low temperature. This is due to the differential thermal contraction(DTC) which is induced by a significant difference in coefficients of thermal contraction between aggregate and asphalt which is coated around the aggregate. This DTC damage is well known to occur in HMA concrete, but is not yet investigated in warm-mix asphalt(WMA) concretes. METHODS : To evaluate DTC damage on WMA in this study, the flexural strength($S_f$) of WMA concretes, which were produced at $30{\sim}40^{\circ}C$ lower temperature, was evaluated in comparison with that of HMA at -5, -15 and $-25^{\circ}C$. RESULTS : Most of WMA and HMA mixtures showed flexural strength increase down to $-15^{\circ}C$ and decrease below $-15^{\circ}C$. this type of strength reduction below $-15^{\circ}C$ can e explained as the effect of differential thermal contraction that is a consequence of the large difference in coefficients of thermal contraction between aggregate and asphalt. the property reduction of WMA is similar the result of previous works dealt with HMA mixtures. CONCLUSIONS : Even though there is some differences by materials used, the WMA concretes showed a significantly lower DTC damage than HMA concrete at low temperature at ${\alpha}$=0.05 level.

G Protein-Coupled Receptor Signaling in Gastrointestinal Smooth Muscle

  • Sohn, Uy-Dong;Kim, Dong-Seok;Murthy, Karnam S.
    • The Korean Journal of Physiology and Pharmacology
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    • v.5 no.4
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    • pp.287-297
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    • 2001
  • Contraction of smooth muscle is initiated by an increase in cytosolic $Ca^{2+}$ leading to activation of $Ca^{2+}$/ calmodulin-dependnet myosin light chain (MLC) kinase and phosphorylation of MLC. The types of contraction and signaling mechanisms mediating contraction differ depending on the region. The involvement of these different mechanisms varies depending on the source of $Ca^{2+}$ and the kinetic of $Ca^{2+}$ mobilization. $Ca^{2+}$ mobilizing agonists stimulate different phospholipases $(PLC-{\beta},\;PLD\;and\;PLA_2)$ to generate one or more $Ca^{2+}$ mobilizing messengers $(IP_3\;and\;AA),$ and diacylglycerol (DAG), an activator of protein kinase C (PKC). The relative contributions of $PLC-{\beta},\;PLA_2$ and PLD to generate second messengers vary greatly between cells and types of contraction. In smooth muscle cell derived form the circular muscle layer of the intestine, preferential hydrolysis of $PIP_2$ and generation of $IP_3$ and $IP_3-dependent\;Ca^{2+}$ release initiate the contraction. In smooth muscle cells derived from longitudinal muscle layer of the intestine, preferential hydrolysis of PC by PLA2, generation of AA and AA-mediated $Ca^{2+}$ influx, cADP ribose formation and $Ca^{2+}-induced\;Ca^{2+}$ release initiate the contraction. Sustained contraction, however, in both cell types is mediated by $Ca^{2+}-independent$ mechanism involving activation of $PKC-{\varepsilon}$ by DAG derived form PLD. A functional linkage between $G_{13},$ RhoA, ROCK, $PKC-{\varepsilon},$ CPI-17 and MLC phosphorylation in sustained contraction has been implicated. Contraction of normal esophageal circular muscle (ESO) in response to acetylcholine (ACh) is linked to $M_2$ muscarinic receptors activating at least three intracellular phospholipases, i.e. phosphatidylcholine-specific phospholipase C (PC-PLC), phospholipase D (PLD) and the high molecular weight (85 kDa) cytosolic phospholipase $A_2\;(cPLA_2)$ to induce phosphatidylcholine (PC) metabolism, production of diacylglycerol (DAG) and arachidonic acid (AA), resulting in activation of a protein kinase C (PKC)-dependent pathway. In contrast, lower esophageal sphincter (LES) contraction induced by maximally effective doses of ACh is mediated by muscarinic $M_3$ receptors, linked to pertussis toxin-insensitive GTP-binding proteins of the $G_{q/11}$ type. They activate phospholipase C, which hydrolyzes phosphatidylinositol bisphosphate $(PIP_2),$ producing inositol 1, 4, 5-trisphosphate $(IP_3)$ and DAG. $IP_3$ causes release of intracellular $Ca^{2+}$ and formation of a $Ca^{2+}$-calmodulin complex, resulting in activation of myosin light chain kinase and contraction through a calmodulin-dependent pathway.

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A numerical analysis on the performance of buckling restrained braces at fire-study of the gap filler effect

  • Talebi, Elnaz;Tahir, Mahmood Md.;Zahmatkesh, Farshad;Kueh, Ahmad B.H.
    • Steel and Composite Structures
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    • v.19 no.3
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    • pp.661-678
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    • 2015
  • Buckling Restrained Braces (BRB) have been widely used in the construction industry as they utilize the most desirable properties of both constituent materials, i.e., steel and concrete. They present excellent structural qualities such as high load bearing capacity, ductility, energy-absorption capability and good structural fire behaviour. The effects of size and type of filler material in the existed gap at the steel core-concrete interface as well as the element's cross sectional shape, on BRB's fire resistance capacity was investigated in this paper. A nonlinear sequentially-coupled thermal-stress three-dimensional model was presented and validated by experimental results. Variation of the samples was described by three groups containing, the steel cores with the same cross section areas and equal yield strength but different materials (metal and concrete) and sizes for the gap. Responses in terms of temperature distribution, critical temperature, heating elapsed time and contraction level of BRB element were examined. The study showed that the superior fire performance of BRB was obtained by altering the filler material in the gap from metal to concrete as well as by increasing the size of the gap. Also, cylindrical BRB performed better under fire conditions compared to the rectangular cross section.

Problems of Strobovideolarygoscopic Findings and Usual Voice Management of Vocal Major Students, and Acoustic Characteristics of Singing Voice (성악도들의 음성관리 및 성대화상술상의 문제점과 발성에 대한 음향분석학적 특징)

  • 진성민;김대영;반재호;이상혁;송윤경;권기환;이경철;이용배
    • Journal of the Korean Society of Laryngology, Phoniatrics and Logopedics
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    • v.10 no.1
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    • pp.43-49
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    • 1999
  • Objectives : The purpose of this study was to systematically analyze and compare e acoustic sound structure of vocal major student's singing voice. Materials and Methods : The nineteen vocal major students were the subject group and healthy nineteen females were the control group for this study. The subject group was taken a strobovideolaryngoscopy by the use of flexible nasopharyngoscopy. And acoustic analysis was taken between two groups. Additionally the inquiry on usual voice problems and management was performed by thirty-six vocal major students. Results : The subject group presents many functional voice disorder findings such as AP contraction(44%), phase difference(36%) tremor(25%), posterior gap(17%), hyperadduction of vestibular fold(6%), and anterior gap(3%) on strobovideolaryngoscopy. And the vocal major students did reveal an enhanced number of high frequency harmonic partials when singing compared to the control group in the narrow band spectrum study. But there was no significant difference in jitter, shimmer and noise to harmonic ratio in both groups. Almost all vocal major students present a lot of voice problems in singing such as loss of high note(17%), loss of quiet voice(17%), effortful and tired voice(36%) etc on inquiry. And they always effort to prevent vocal dysfunction by the use of various type of method such as voice rest(28%), hydration(28%), gargling with salt(11%) etc. Conclusions : The vocal major students always take care of maintaining a good voice condition, but a lot of vocal major students revealed abnormal strobovideolaryngoscopic findings and they are absent in the conception of systemic and scientific voice management. Therefore, the young singers need a good voice training and voice therapy Program under the good ralationship of laryngologist and voice training teacher.

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An Experimental Study on the Component Variation of Naesowhajung-tang by the Three Types of Extraction Method and the Effects of Each Type on the Gastrointestinal Tract (추출방법(抽出方法)에 따른 내소화중탕(內消和中湯)의 효능(效能)에 대(對)한 연구(硏究))

  • Kim, Jin-Seong;Ryu, Bong-Ha;Park, Dong-Won;Ryu, Ki-Won;Yoon, Joo-Ho
    • The Journal of Internal Korean Medicine
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    • v.22 no.1
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    • pp.29-38
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    • 2001
  • When I evaluated the component variation of Naesowhajung-tang by the three types of extraction method, and each type's effects on the gastrointestinal tract, I got the following results. 1. The output ratio of extracts made out of Naesowhajung-tang were not significantly different among 13.8% of water extract(Sample-I), 13.5% of 50% ethanol extract(Sample-II), and 15.6% of water extract by spray dryer(Sample-III). 2. magnolol, honokiol, hesperidin, naringin, poncirin and glycyrrhizin Sample II had the largest amount of the following contents: magnolol, honokiol, hesperidin, naringin, poncirin and glycyrrhizin. 3. All the extracts of Naesowhajung-tang showed the inhibitory effect on the smooth muscle contraction of the isolated ileum in mice and fundus-strip in rats induced by acetylcholine chloride and barium chloride. 4. High concentration Sample-II was recognized to be effective in preventing gastric ulcers in Shay's rats. but not in the other rat group. 5. All the extracts of Naesowhajung-tang were recognized to be effective in preventing gastric ulcers induced by Ethanol-HCl in rats. 6. The increase of transport ability in the small intestine was recognized only when the concentration of all the samples was doubled, but not in the other concentrations. 7. The increase of transport ability in the large intestine was recognized only when the concentration of Sample-II was doubled, but not in other concentration. Using the results mentioned above, I suggest that Sample-II has more significant effects on the gastrointestinal tract than the others.

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A Study on the Effect of Applying Water Seepage Lowering Method Using Swelling Waterstop for Expansion Joint in the Concrete Dam (콘크리트 댐에서 수축이음부의 수팽창성 차수재를 이용한 침투저감 공법 적용효과 연구)

  • Han, Kiseung;Lee, Seungho;Kim, Sanghoon;Kim, Sejin;Pai, Sungjin
    • Journal of the Korean GEO-environmental Society
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    • v.22 no.10
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    • pp.21-29
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    • 2021
  • Most concrete gravity-type dams in and out of the country were constructed by column method to control cracks caused by concrete hydration heat generated during construction, resulting in a certain level of leakage after impoundment through various causes, such as contraction joints and construction joints. However, due to the characteristics of concrete structures that shrink and expand according to temperature, concrete dams have vertical joints and drains to allow penetration. PVC waterproof shows excellent effects in completion of the dam, which however increases the possibility of interfacial failure due to different thermal expansion. Other causes of penetration may include problems with quality control during installation, generation of cracks due to heat of hydration of concrete, waterproofing methods, etc. In the case of Bohyunsan Dam in Yeongcheon, North Gyeongsang Province, the amount of drainage in the gallery was checked and underwater, and it was confirmed that there are many penetrations from drainage holes connected to vertical joints, and that some of the PVC waterproofs are not fully operated. As a new method to prevent penetration through vertical joints, D.S.I.M. (Dam Sealing Innovation Method) developed by World E&C was applied to Bohyunsan Dam and checked the amount of drainage in the gallery. As a result of first testing three most leaking vertical joints, the drain in the gallery was reduced by 87% on the average and then applied to the remaining 13 locations, which showed a 83% reduction effect based on the total drain in the gallery. Summing up these results, it was found that D.S.I.M. preventing water leakage from the upstream face is a valid construction method to reduce the water see-through and penetration quantity seen in downstream faces of concrete dams. If D.S.I.M. is applied to other concrete dams at domestic and abroad, it is expected that it will be very effective to prevent water leakage through vertical joints that are visible from downstream faces.