• Title/Summary/Keyword: smooth

Search Result 6,577, Processing Time 0.029 seconds

Fixed point iterations for quasi-contractive maps in uniformly smooth banach spaces

  • Chidume, C.E.;Osilike, M.O.
    • Bulletin of the Korean Mathematical Society
    • /
    • v.30 no.2
    • /
    • pp.201-212
    • /
    • 1993
  • It is our purpose in this paper to first establish an inequality in real uniformly smooth Banach spaces with modulus of smoothness of power type q > 1 that generalizes a well known Hilbert space inequality. Using our inequality, we shall then extend the above result of Qihou [15] on the Ishikawa iteration process from Hilbert spaces to these much more general Banach spaces. Furthermore, we shall prove that the Mann iteration process converges strongly to the unique fixed point of a quasi-contractive map in this general setting. No compactness assumption on K is required in our theorems.

  • PDF

TRIGONOMETRIC GENERATED RATE OF CONVERGENCE OF SMOOTH PICARD SINGULAR INTEGRAL OPERATORS

  • GEORGE A. ANASTASSIOU
    • Journal of Applied and Pure Mathematics
    • /
    • v.5 no.5_6
    • /
    • pp.407-414
    • /
    • 2023
  • In this article we continue the study of smooth Picard singular integral operators that started in [2], see there chapters 10-14. This time the foundation of our research is a trigonometric Taylor's formula. We establish the convergence of our operators to the unit operator with rates via Jackson type inequalities engaging the first modulus of continuity. Of interest here is a residual appearing term. Note that our operators are not positive. Our results are pointwise and uniform.

The Activity of Protein Kinases on the Endothelin-1-induced Muscle Contraction and the relationship of Physical Therapy (Endothelin-1-유도 근수축에 관여하는 부활효소의 활성과 물리치료의 상관성)

  • Kim, Mi-Sun;Kim, Il-Hyun;Hwang, Byong-Yong;Kim, Jung-Hwan
    • The Journal of Korean Physical Therapy
    • /
    • v.20 no.3
    • /
    • pp.53-59
    • /
    • 2008
  • Purpose: The non-receptor-type protein tyrosine kinase Syk (636 amino acids, 72 kDa) is ubiquitously expressed in hematopoietic stem cells and has been widely studied as a regulator and effector of B cell receptor signaling that occurs in processes such as differentiation, proliferation and apoptosis. However, the mechanism relating Syk and p38 mitogen-activated protein kinases (p38MAPK) by endothelin-1 (ET-1, 21 amino acids) stimulation in muscle cells, especially in the volume-dependent hypertensive state, remains unclear. Methods: In this study, we investigated the relationship between Syk and p38MAPK for isometric contraction and enzymatic activity by ET-1 from rat aortic smooth muscle cells and aldosterone-analogue deoxycorticosterone acetate (DOCA) hypertensive state rats (ADHR). Results: The systolic blood pressure was significantly increased in ADHR than in a control group of animals. ET-1 induced isometric contraction and phosphorylation of p38MAPK, which was increased in muscle strips from ADHR. Increased vasoconstriction and phosphorylation of p38MAPK induced by treatment with 30 nM ET-1 were inhibited by the use of 10${\mu}M$ SB203580, an inhibitor of p38MAPK from ADHR. Furthermore, ET-1 induced isometric contraction and phosphorylation of Syk and p38MAPK, which were increased in the aortic smooth muscle cells. Increased tension and phosphorylation of Syk and p38MAPK induced by ET-1 were inhibited by SB203580 from rat aortic smooth muscle cells. Conclusion: These results, suggest that the Syk activity affects ET-1-induced contraction through p38MAPK in smooth muscle cells and that the same pathway directly or indirectly is associated with volume dependent hypertension. The findings suggest the need to develop cardiovascular disease-specialized physical therapy.

  • PDF

Yield and Species Composition of Binary Mixtures of Kura Clover with Kentucky Bluegrass, Orchardgrass, or Smooth Bromegrass

  • Kim, B.W.;Albrecht, K.A.
    • Asian-Australasian Journal of Animal Sciences
    • /
    • v.21 no.7
    • /
    • pp.995-1002
    • /
    • 2008
  • Kura clover (Trifolium ambiguum M. Bieb.) is a rhizomatous perennial legume that has potential as a forage crop in the North-Central USA because of its excellent persistence under environmental extremes. Little information is available about defoliation effects on productivity of mixtures of kura clover with grasses typically grown in this region. Two field trials were conducted to evaluate the effects of defoliation management on yield and species composition of binary mixtures of 'Rhizo' kura clover with 'Comet' orchardgrass (Dactylis glomerata L.), 'Badger' smooth bromegrass (Bromus inermis Leyss.), 'Park' Kentucky bluegrass (Poa pratensis L.), and solo-seeded kura clover near Arlington, WI. Three harvest schedules (three, four, or five times annually) and two cutting heights (4 or 10 cm) were imposed. Infrequent defoliation and lower cutting height produced significantly greater total forage yield, 6.6, 5.8, and 5.2 Mg/ha in 3-, 4-, and 5-harvest systems, respectively; and 6.5 and 5.2 Mg/ha for the 4- and 10-cm cutting height, respectively. Averaged over 3 yr and two environments, mixtures had higher forage productions than solo kura clover (6.3, 5.7, and 6.0 Mg/ha for the Kentucky bluegrass, orchardgrass, and smooth bromegrass mixtures, respectively; compared to 5.2 Mg/ha for solo kura clover). The proportion of kura clover in mixtures increased from yr 1 to yr 2 and was constant from yr 2 to yr 3 (34, 58, and 57%, respectively). We conclude that kura clover has excellent potential as a long-term component of grass-legume mixtures regardless of the cutting height, harvest frequency or grass species, even though the proportion of kura clover in harvested forage was significantly greater with less frequent harvest and shorter cutting height of all mixtures.

Modulation of Outward Potassium Currents by Nitric Oxide in Longitudinal Smooth Muscle Cells of Guinea-pig Ileum

  • Kwon, Seong-Chun;Rim, Se-Joong;Kang, Bok-Soon
    • The Korean Journal of Physiology and Pharmacology
    • /
    • v.2 no.2
    • /
    • pp.225-232
    • /
    • 1998
  • To investigate the possible involvement of outward potassium ($K^+$) currents in nitric oxide-induced relaxation in intestinal smooth muscle, we used whole-cell patch clamp technique in freshly dispersed guinea-pig ileum longitudinal smooth muscle cells. When cells were held at -60 mV and depolarized from -40 mV to -50 mV in 10 mV increments, sustained outward $K^+$ currents were evoked. The outward $K^+$ currents were markedly increased by the addition of 10 ${\mu}M$ sodium nitroprusside (SNP). 10 ${\mu}M$ S-nitroso-N-acetylpenicillamine (SNAP) and 1 mM 8-Bromo-cyclic GMP (8-Br-cGMP) also showed a similar effect to that of SNP. 1 mM tetraethylammonium (TEA) significantly reduced depolarization-activated outward $K^+$ currents. SNP-enhanced outward $K^+$ currents were blocked by the application of TEA. High EGTA containing pipette solution (10 mM) reduced the control currents and also inhibited the SNP-enhanced outward $K^+$ currents. 5 mM 4-aminopyridine (4-AP) significantly reduced the control currents but showed no effect on SNP-enhanced outward $K^+$ currents. 0.3 ${\mu}M$ apamin and 10 ${\mu}M$ glibenclamide showed no effect on SNP-enhanced outward $K^+$ currents. 10 ${\mu}M$ 1H-[1,2,4]oxadiazolo [4,3-a]quinoxaline-1-one (ODQ), a specific inhibitor of soluble guanylate cyclase, significantly blocked SNP-enhanced $K^+$ currents. We conclude that NO donors activate the $Ca^{2+}-activated$ $K^+$ channels in guinea-pig ileal smooth muscle via activation of guanylate cyclase.

  • PDF

Effect of Etomidoline on the Isolated smooth Muscle of Rabbit (Etomidoline이 각종 평활근에 미치는 영향)

  • Kim, W.J.;Kim, J.H.;Sheen, Y.Y.
    • The Korean Journal of Pharmacology
    • /
    • v.16 no.2 s.27
    • /
    • pp.25-29
    • /
    • 1980
  • Etomidoline ($Nonspa^{\circledR}$), which is chemically related to tertiary amine, is new synthetic antispasmodic agent with analgesic action. Antispasmodic effect of this agent is stronger than hyoscine butylbromide ($Buscopan^{\circledR}$), quaternary amine, and the absorption from intestine is also much higher. This study was undertaken to determine the effect of etomidoline on duodenal motility and other smooth muscles of rabbit. Strips of various isolated smooth muscle, 2 cm long from adult rabbits weighting about 2 kg, were suspended in a muscle chamber containing Tyrode's solution, which was bubbled with oxygen gas, and the temperature of the solution was kept constant at $38^{\circ}C$. After being washed with fresh solution several times the strips of smooth muscle attained constant motility and tonus. Etomidoline and other drugs were added in various concentrations to the chamber. Contractility of the strips was measured by using polygraph (Grass, model 7). The results are as follows: 1) In isolated rabbit atrium etomidoline produces a slight depression of contractility and the rate is also decreased. 2) On the other hand, etomidoline relaxed isolated strips of stomach, duodenal, and detrusor of rabbit. This relaxing effect of etomidoline on isolated duodenal strip of rabbit was not blocked by ${\alpha}$-adrenergic blocking agent, phenoxybenzamine, but by ${\beta}$-adrenergic blocking agent, propranolol. 3) Etomidoline did not exert any effect on isolated aorta, gall bladder, and trigone of rabbit. From the above results, it may be concluded that the relaxing effect of etomidoline on duodenal strip is related ${\beta}$-adrenergic receptor.

  • PDF

A Study on the Interface Shear Strength of HDPE Textured Geomembrane (HDPE 표면처리 지오멤브레인의 경계면 전단강도에 관한 연구)

  • Kim, Sejin;Youn, Heejung
    • Journal of the Korean GEO-environmental Society
    • /
    • v.17 no.2
    • /
    • pp.41-49
    • /
    • 2016
  • This paper evaluates the interface shear strength of HDPE textured geomembrane. The interface shear strength between textured geomembrane and marl, and textured geomembrane and woven geotextile were measured; and the smooth geomembrane was used to evaluate the effect of "texture" on the interface shear strength. The interface shear strength was measured using a large direct shear testing device under several conditions including the presence of water, and the normal stresses that were 12, 24, 45, 100, 500, and 1,000 kPa. From testing results, it was found that there was meaningful reduction in the interface shear strength in the presence of water, but the effect of normal stress was not clear. The interface shear strength was measured to be significantly different for smooth geomembrane, whose strength was measured to be as small as half that of the textured geomembrane.

The Fast Skeletal Muscle Myosin Light Chain Is Differentially Expressed in Smooth Muscle Cells of OVA-challenged Mouse Trachea

  • Kim, Ho-Young;Rhim, TaiYoun;Ahn, Mi-Hyun;Yoon, Pyoung-Oh;Kim, Soo-Ho;Lee, Sang-Han;Park, Choon-Sik
    • Molecules and Cells
    • /
    • v.25 no.1
    • /
    • pp.78-85
    • /
    • 2008
  • In a search for new molecular pathways associated with asthma, we performed an mRNA differential display analysis using total RNA extracted from the tracheal tissues of ovalbumin (OVA)-challenged mice and sham controls. cDNAs corresponding to mRNAs for which expression levels were altered by OVA-challenge were isolate and sequenced. Twenty-eight genes differentially expressed in sham and OVA challenged mice were identified. A GenBank BLAST homology search revealed that they were related to cytoskeleton remodeling, transcription, protein synthesis and modification, energy production, and cell growth and differentiation. Two were selected for further characterization. Up-regulation of both the perinatal skeletal myosin heavy chain (skMHC) and fast skeletal muscle myosin light chain (skMLC) genes was confirmed by RT-PCR of trachea tissue from OVA challenged mice. Overexpression of skMLC protein was observed in the smooth muscle layers of OVA-challenged mice by immunohistochemistry, and the surface areas stained with skMLC antibody increased in the OVA-challenged mice. The overexpression of skMLC in murine asthma may be associated with the changes of bronchial smooth muscle.

Role of $Na^+/Ca^{2+}$ Exchange in the Control of Contractility in Rabbit Basilar Arterial Smooth Muscle

  • Kim, Eui-Yong;Han, Jin
    • The Korean Journal of Physiology
    • /
    • v.28 no.2
    • /
    • pp.159-167
    • /
    • 1994
  • The contraction of rabbit basilar artery was examined as a function of changes in the $Na^+$ electrochemical gradient in order to determine the contribution of $Na^+/Ca^{2+}$ exchange to the modulation of contractility. Ouabain $(10^{-5}\;M)$ or $K^+-free$ Tyrode solution caused an increase in tonic tension even in the presence of a $Ca^{2+}$ channel blocker $(10^{-6}\;M\;verapamil)$ and an ${\alpha}-receptor$ blocker $(10^{-5}\;M\;phentolamine)$. After treatment with ouabain $(10^{-5}\;M)$, contractions were augmented by reduction of external $Na^+$ concentration. The longer the treatment with ouabain $(10^{-5}\;M)$ was, the larger the amplitude of $Na^+-free$ contracture was. $Na^+-free$ contracture wag induced by either substitution of equimolar Tris for $Na^+$ or substitution of equimolar $Li^+\;for\;Na^+$. The competition between $Na^+\;and\;Ca^{2+}$ for the $Na^+/Ca^{2+}$ exchange carrier would exist, because it was observed that contractility was dependent on the $Na^+$ electrochemical gradient or the extracellular $Ca^{2+}$ concentration (2 mM, 4 mM). Ryanodine $(10^{-7}\;M)$, the blocker of intracellular $Ca^{2+}$ release from the sarcoplasmic reticulum, did not suppress the development of $Na^+-free$ contracture. The contractile response to norepinephrine $(10^{-6}\;M)$ was augmented by reducing the extracellular $Na^+$ concentration. The relaxation rate from caffeine-induced contraction was dependent on the extracellular $Na^+$ concentration (0 mM, 140 mM). From the above results, it could be suggested that $Na^+/Ca^{2+}$ exchange can move $Ca^{2+}$ either into or out of rabbit basilar arterial smooth muscle. $Ca^{2+}$ entry or extrusion is dependent upon the $Na^+$ electrochemical gradient. $Na^+/Ca^{2+}$ exchange plays a significant role in the regulation of contractility in rabbit basilar arterial smooth muscle.

  • PDF