• Title/Summary/Keyword: beta and gamma functions

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Presynaptic Mechanism Underlying Regulation of Transmitter Release by G Protein Coupled Receptors

  • Takahashi, Tomoyuki;Kajikawa, Yoshinao;Kimura, Masahiro;Saitoh, Naoto;Tsujimoto, Tetsuhiro
    • The Korean Journal of Physiology and Pharmacology
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    • v.8 no.2
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    • pp.69-76
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    • 2004
  • A variety of G protein coupled receptors (GPCRs) are expressed in the presynaptic terminals of central and peripheral synapses and play regulatory roles in transmitter release. The patch-clamp whole-cell recording technique, applied to the calyx of Held presynaptic terminal in brainstem slices of rodents, has made it possible to directly examine intracellular mechanisms underlying the GPCR-mediated presynaptic inhibition. At the calyx of Held, bath-application of agonists for GPCRs such as $GABA_B$ receptors, group III metabotropic glutamate receptors (mGluRs), adenosine $A_1$ receptors, or adrenaline ${\alpha}2$ receptors, attenuate evoked transmitter release via inhibiting voltage-activated $Ca^{2+}$ currents without affecting voltage-activated $K^+$ currents or inwardly rectifying $K^+$ currents. Furthermore, inhibition of voltage-activated $Ca^{2+}$ currents fully explains the magnitude of GPCR-mediated presynaptic inhibition, indicating no essential involvement of exocytotic mechanisms in the downstream of $Ca^{2+}$ influx. Direct loadings of G protein ${\beta}{\gamma}$ subunit $(G{\beta}{\gamma})$ into the calyceal terminal mimic and occlude the inhibitory effect of a GPCR agonist on presynaptic $Ca^{2+}$ currents $(Ip_{Ca})$, suggesting that $G{\beta}{\gamma}$ mediates presynaptic inhibition by GPCRs. Among presynaptic GPCRs glutamate and adenosine autoreceptors play regulatory roles in transmitter release during early postnatal period when the release probability (p) is high, but these functions are lost concomitantly with a decrease in p during postnatal development.

Certain Inequalities Involving Pathway Fractional Integral Operators

  • Choi, Junesang;Agarwal, Praveen
    • Kyungpook Mathematical Journal
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    • v.56 no.4
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    • pp.1161-1168
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    • 2016
  • Belarbi and Dahmani [3], recently, using the Riemann-Liouville fractional integral, presented some interesting integral inequalities for the Chebyshev functional in the case of two synchronous functions. Subsequently, Dahmani et al. [5] and Sulaiman [17], provided some fractional integral inequalities. Here, motivated essentially by Belarbi and Dahmani's work [3], we aim at establishing certain (presumably) new inequalities associated with pathway fractional integral operators by using synchronous functions which are involved in the Chebychev functional. Relevant connections of the results presented here with those involving Riemann-Liouville fractional integrals are also pointed out.

Some New Subclasses of Analytic Functions defined by Srivastava-Owa-Ruscheweyh Fractional Derivative Operator

  • Noor, Khalida Inayat;Murtaza, Rashid;Sokol, Janusz
    • Kyungpook Mathematical Journal
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    • v.57 no.1
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    • pp.109-124
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    • 2017
  • In this article the Srivastava-Owa-Ruscheweyh fractional derivative operator $\mathcal{L}^{\alpha}_{a,{\lambda}}$ is applied for defining and studying some new subclasses of analytic functions in the unit disk E. Inclusion results, radius problem and other results related to Bernardi integral operator are also discussed. Some applications related to conic domains are given.

APPROXIMATE PEXIDERIZED EXPONENTIAL TYPE FUNCTIONS

  • Lee, Young-Whan
    • The Pure and Applied Mathematics
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    • v.19 no.2
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    • pp.193-198
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    • 2012
  • We show that every unbounded approximate Pexiderized exponential type function has the exponential type. That is, we obtain the superstability of the Pexiderized exponential type functional equation $$f(x+y)=e(x,y)g(x)h(y)$$. From this result, we have the superstability of the exponential functional equation $$f(x+y)=f(x)f(y)$$.

Effect of negative therapy at back meridian points on blood gas components and immune functions in male college students (배부(背部) 경혈(經穴)에 부항요법(附缸療法) 시술(施術)이 남자대학생(男子大學生)의 면역기능(免疫機能)에 미치는 영향(影響))

  • Oh, Jae-Keun;Kim, Sung-Soo
    • The Journal of Korean Medicine
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    • v.20 no.1 s.37
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    • pp.75-83
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    • 1999
  • To investigate the effects of negative therapy at back meridian points on blood gas components and immune functions in male college students, this study was conducted on treatment types(abdomen group and back group) at three sampling times (before, post-2 wks and post-4 wks) by using $2{\times}3$ factoral design. Blood gas $components(pH,\;PCO_2,\;PO_2,\;HCO_3^-,\;O_2SAT,\;BE)$, red blood cell, hematocrit, hemoglobin, white blood cell and subsets(neutrophil, basophil, eosinophil. lymphocyte, monocyte), total T cells, helper T cells, suppressor T cells, Th/Ts ratio, total B cells, serum immunoglobulin levels (IgG, IgA, IgM, IgD, IgE), Cytokines(Interlukin$-1{\beta}$, -2, -4, 2 receptor, -6 and ${\gamma}$-interferon), NK cells were measured. Collected with data were analyzed statistically by repealed measured ANOVA. The pattern of change between two groups for hematocrit, hemoglobin, suppressor T cells, interleukin-6, ${\gamma}-interferon$, NK cells at post-2 weeks and BE, lymphocyte, basophil at post-4 weeks was significantly different(p<0.05) And also the pattern of change over time for ${HCO_3}^-$(2 wks vs 4 wks), WBC, neutrophil, lymphocyte(0 wks vs 2 wks and 2 wks vs 4 wks) was significantly different(p<0.05). In summary, these data suggest that negative therapy at back meridian points had an effect on blood gas components and immune functions in male college students because practicing negative therapy at back meridian points was not associated with changes of all blood gas components and immune factors but associated with changes of BE, hematocrit, hemoglobin, WBC. neutrophil, lymphocyte, interleukin-6. ${\gamma}-interferon$, NK cells.

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Subject Independent Classification of Implicit Intention Based on EEG Signals

  • Oh, Sang-Hoon
    • International Journal of Contents
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    • v.12 no.3
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    • pp.12-16
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    • 2016
  • Brain computer interfaces (BCI) usually have focused on classifying the explicitly-expressed intentions of humans. In contrast, implicit intentions should be considered to develop more intelligent systems. However, classifying implicit intention is more difficult than explicit intentions, and the difficulty severely increases for subject independent classification. In this paper, we address the subject independent classification of implicit intention based on electroencephalography (EEG) signals. Among many machine learning models, we use the support vector machine (SVM) with radial basis kernel functions to classify the EEG signals. The Fisher scores are evaluated after extracting the gamma, beta, alpha and theta band powers of the EEG signals from thirty electrodes. Since a more discriminant feature has a larger Fisher score value, the band powers of the EEG signals are presented to SVM based on the Fisher score. By training the SVM with 1-out of-9 validation, the best classification accuracy is approximately 65% with gamma and theta components.

DISTRIBUTION OF THE VALUES OF THE DERIVATIVE OF THE DIRICHLET L-FUNCTIONS AT ITS a-POINTS

  • Jakhlouti, Mohamed Taib;Mazhouda, Kamel
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1141-1158
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    • 2017
  • In this paper, we study the value distribution of the derivative of a Dirichlet L-function $L^{\prime}(s,{\chi})$ at the a-points ${\rho}_{a,{\chi}}={\beta}_{a,{\chi}}+i{\gamma}_{a,{\chi}}$ of $L^{\prime}(s,{\chi})$. We give an asymptotic formula for the sum $${\sum_{{\rho}_{a,{\chi}};0<{\gamma}_{a,{\chi}}{\leq}T}\;L^{\prime}({\rho}_{a,{\chi}},{\chi})X^{{\rho}_{a,{\chi}}}\;as\;T{\rightarrow}{\infty}$$, where X is a fixed positive number and ${\chi}$ is a primitive character mod q. This work continues the investigations of Fujii [4-6], $Garunk{\check{s}}tis$ & Steuding [8] and the authors [12].

First-Principles Study of the Three Polymorphs of Crystalline 1,1-Diamino-2,2-dinitrotheylene

  • Wu, Qiong;Zhu, Weihua;Xiao, Heming
    • Bulletin of the Korean Chemical Society
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    • v.34 no.8
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    • pp.2281-2285
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    • 2013
  • The electronic structure, optical spectra, and thermodynamic properties of the three FOX-7 polymorphs (${\alpha}$, ${\beta}$, and ${\gamma}$) have been studied systematically using density functional theory. The LDA (CA-PZ) and generalized gradient approximation (GGA) (PW91) functions were used to relax the three FOX-7 phases without any constraint. Their density of states and partial density of states were calculated and analyzed. The band gaps for the three phases were calculated and the sequence of their sensitivity was presented. Their absorption coefficients were computed and compared. The thermodynamic functions including enthalpy (H), entropy (S), free energy (G), and heat capacity ($C_p$) for the three phases were evaluated.

CERTAIN FRACTIONAL INTEGRALS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION

  • Agarwal, Praveen;Chand, Mehar;Choi, Junesang;Singh, Gurmej
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.423-436
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    • 2018
  • We aim to establish certain Saigo hypergeometric fractional integral formulas for a finite product of the generalized k-Bessel functions, which are also used to present image formulas of several integral transforms including beta transform, Laplace transform, and Whittaker transform. The results presented here are potentially useful, and, being very general, can yield a large number of special cases, only two of which are explicitly demonstrated.

Estrogen-related receptor γ is a novel catabolic regulator of osteoarthritis pathogenesis

  • Son, Young-Ok;Chun, Jang-Soo
    • BMB Reports
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    • v.51 no.4
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    • pp.165-166
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    • 2018
  • Osteoarthritis (OA) is the most common form of arthritis and is a leading cause of disability with a large socioeconomic cost. OA is a whole-joint disease characterized by cartilage destruction, synovial inflammation, osteophyte formation, and subchondral bone sclerosis. To date, however, no effective disease-modifying therapies for OA have been developed. The estrogen-related receptors (ERRs), a family of orphan nuclear receptor transcription factors, are composed of $ERR{\alpha}$, $ERR{\beta}$, and $ERR{\gamma}$, which play diverse biological functions such as cellular energy metabolism. However, the role of ERRs in OA pathogenesis has not been studied yet. Among the ERR family members, $ERR{\gamma}$ is markedly upregulated in human and various models of mouse OA cartilage. Adenovirus-mediated overexpression of $ERR{\gamma}$ in the mouse knee joint tissue caused OA pathogenesis. Additionally, cartilage-specific $ERR{\gamma}$ transgenic (Tg) mice exhibited enhanced experimental OA. Consistently, $ERR{\gamma}$ in articular chondrocytes directly caused expression of matrix metalloproteinase (MMP) 3 and MMP13, which play a crucial role in cartilage destruction. In contrast, genetic ablation of Esrrg or shRNA-mediated Esrrg silencing in the joint tissues abrogated experimental OA in mice. These results collectively indicated that $ERR{\gamma}$ is a novel catabolic regulator of OA pathogenesis and can be used as a therapeutic target for OA.