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Journal articles on the topic 'K-inner Functions'

Author: Grafiati

Published: 6 September 2023

Last updated: 31 July 2025

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1

Yang, Congli. "Inner functions inQKtype spaces." Journal of Function Spaces and Applications 9, no. 3 (2011): 305–22. http://dx.doi.org/10.1155/2011/765101.

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Inner functions inQK(p,q)are studied, providedKsatisfies certain regularity conditions. In particular, it is shown that the only inner functions inQK(p, p-2), p≥1, are precisely the Blaschke products whose zeros{zn}satisfysup⁡a∈D∑K(1-|φa(zn)|2)<∞.

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2

Qian, Ruishen. "Inner functions in Q_K spaces and multipliers." Mathematica Slovaca 72, no. 3 (2022): 623–34. http://dx.doi.org/10.1515/ms-2022-0042.

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Abstract In this paper, under some conditions on weighted function K, we give some new equivalent characterizations of inner functions in Q K spaces. Meanwhile, we also studied inner functions in Q K spaces as multipliers of C 𝓑(Q K ) ∩ BMOA, where C 𝓑(Q K ) denoted the closure of Q K spaces in Bloch spaces.

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3

Bayart, Frédéric. "Universal Inner Functions on the Ball." Canadian Mathematical Bulletin 51, no. 4 (2008): 481–86. http://dx.doi.org/10.4153/cmb-2008-048-8.

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AbstractIt is shown that given any sequence of automorphisms (ϕk)k of the unit ball of ℂN such that ‖ϕk(0)‖ tends to 1, there exists an inner function I such that the family of “non-Euclidean translates” (I о ϕk)k is locally uniformly dense in the unit ball of H∞().

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4

Shakh-Emirov, Tadgidin. "On uniform convergence of Fourier-Sobolev series." Daghestan Electronic Mathematical Reports, no. 12 (December 5, 2019): 55–61. http://dx.doi.org/10.31029/demr.12.5.

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Let $\{\varphi_{k}\}_{k=0}^\infty$ be a system of functions defined on $ [a, b] $ and orthonormal in $ L ^ 2_ \rho = L ^ 2_\rho ( a, b) $ with respect to the usual inner product. For a given positive integer $ r $, by $\{\varphi_{r,k}\}_{k=0}^\infty$ we denote the system of functions orthonormal with respect to the Sobolev-type inner product and generated by the system $\{\varphi_{k}\}_{k=0}^\infty$. In this paper, we study the question of the uniform convergence of the Fourier series by the system of functions $\{\varphi_{r,k}\}_{k=0}^\infty$ to the functions $f\in W^r_{L^p_\rho}$ in the case

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5

Huban, Mualla, Hamdullah Başaran, and Mehmet Gürdal. "Berezin number inequalities via convex functions." Filomat 36, no. 7 (2022): 2333–44. http://dx.doi.org/10.2298/fil2207333h.

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The Berezin symbol ?A of an operator A on the reproducing kernel Hilbert space H (?) over some set ? with the reproducing kernel k? is defined by ? (?) = ?A k?/||k?||, k?/||k?||?, ? ? ?. The Berezin number of an operator A is defined by ber(A) := sup ??? |?(?)|. We study some problems of operator theory by using this bounded function ?, including treatments of inner product inequalities via convex functions for the Berezin numbers of some operators. We also establish some inequalities involving of the Berezin inequalities.

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6

Khare, Mona, and Pratibha Pandey. "Outer and inner approximations in quantum spaces." Mathematica Slovaca 71, no. 1 (2021): 11–26. http://dx.doi.org/10.1515/ms-2017-0449.

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Abstract The present paper introduces and studies the concepts of K-outer approximation and K-inner approximation for a monotone function μ defined on a D-poset P, by a subfamily K of P. Some desirable properties of K-approximable functions are established and it is shown that the family of all elements of P that possess K-approximation, forms a lattice and is closed under orthosupplementation. We have proved that a submodular measure on a suitable subfamily of P having K-outer approximation can be extended to a function that has K-outer approximation, and a tight function that has K-inner app

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7

Boudref, Mohamed Ahmed. "Inner product and Gegenbauer polynomials in Sobolev space." Russian Universities Reports. Mathematics, no. 138 (2022): 150–65. http://dx.doi.org/10.20310/2686-9667-2022-27-138-150-163.

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In this paper we consider the system of functions G_(r,n)^α (x) (r∈N,n=0,1,…) which is orthogonal with respect to the Sobolev-type inner product on (-1,1) and generated by orthogonal Gegenbauer polynomials. The main goal of this work is to study some properties related to the system {φ_(k,r) (x)}_(k≥0) of the functions generated by the orthogonal system {G_(r,n)^α (x)} of Gegenbauer functions. We study the conditions on a function f(x) given in a generalized Gegenbauer orthogonal system for it to be expandable into a generalized mixed Fourier series of the form f(x)~∑_(k=0)^(r-1)▒〖f^((k) ) (-1

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8

Saito, Hiroshi. "On L-functions associated with the vector space of binary quadratic forms." Nagoya Mathematical Journal 130 (June 1993): 149–76. http://dx.doi.org/10.1017/s0027763000004475.

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The purpose of this paper is to prove functional equations of L-functions associated with the vector space of binary quadratic forms and determine their poles and residues. For a commutative ring K, let V(K) be the set of all symmetric matrices of degree 2 with coefficients in K. In V(C), we consider the inner productwhere for .

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9

Yang, Liu. "Inner functions as multipliers and zero sets in weighted Dirichlet spaces." Georgian Mathematical Journal 27, no. 4 (2020): 655–60. http://dx.doi.org/10.1515/gmj-2018-0064.

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10

DMITRIEV, ANDREY V., NINA A. DMITRIEVA, KENT T. KEYSER, and STUART C. MANGEL. "Multiple functions of cation-chloride cotransporters in the fish retina." Visual Neuroscience 24, no. 4 (2007): 635–45. http://dx.doi.org/10.1017/s0952523807070629.

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A GABA- or glycine-induced increase in Cl− permeability can produce either a depolarization or hyperpolarization, depending on the Cl− equilibrium potential. It has been shown that retinal neurons express the chloride cotransporters, Na-K-2Cl (NKCC) and K-Cl (KCC), the primary molecular mechanisms that control the intracellular Cl− concentration. We thus studied (1) the localization of these cotransporters in the fish retina, and (2) how suppression of cotransporter activity in the fish retina affects function. Specific antibodies against NKCC and KCC2 revealed that both cotransporters were ex

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11

Boudref, Mohamed Ahmed. "Hermite functions and inner product in Sobolev space." Russian Universities Reports. Mathematics, no. 142 (2023): 155–68. http://dx.doi.org/10.20310/2686-9667-2023-28-142-155-168.

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Let us consider the orthogonal Hermite system 〖{φ_2n (x)}〗_(n≥0) of even index defined on (-∞,∞), where φ_2n (x)=e^(-x^2/2)/(√((2n)!) π^(1/4) 2^n ) H_2n (x), by H_2n (x) we denote a Hermite polynomial of degree 2n. In this paper, we consider a generalized system {ψ_(r,2n) (x)} with r>0, n≥0 which is orthogonal with respect to the Sobolev type inner product on (-∞,∞), i.e. 〈f,g〉=lim┬(t→-∞)⁡∑_(k=0)^(r-1)▒〖f^((k) ) (t) g^((k) ) (t)+∫_(-∞)^∞▒〖f^((r) ) (x) g^((r) ) (x)ρ(x)dx〗〗 with ρ(x)=e^(-x^2 ), and generated by 〖{φ_2n (x)}〗_(n≥0). The main goal of this work is to study some properties related

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12

Denega, I. V., and Ya V. Zabolotnyi. "Application of upper estimates for products of inner radii to distortion theorems for univalent functions." Matematychni Studii 60, no. 2 (2023): 138–44. http://dx.doi.org/10.30970/ms.60.2.138-144.

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In 1934 Lavrentiev solved the problem of maximum ofproduct of conformal radii of two non-overlapping simply connected domains. In the case of three or more points, many authors considered estimates of a more general Mobius invariant of the form$$T_{n}:={\prod\limits_{k=1}^nr(B_{k},a_{k})}{\bigg(\prod\limits_{1\leqslant k<p\leqslant n}|a_{k}-a_{p}|\bigg)^{-\frac{2}{n-1}}},$$where $r(B,a)$ denotes the inner radius of the domain $B$ with respect to the point $a$ (for an infinitely distant point under the corresponding factor we understand the unit).In 1951 Goluzin for $n=3$ obtained an accurat

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Lance, T. L., and M. I. Stessin. "Multiplication Invariant Subspaces of Hardy Spaces." Canadian Journal of Mathematics 49, no. 1 (1997): 100–118. http://dx.doi.org/10.4153/cjm-1997-005-9.

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AbstractThis paper studies closed subspaces L of the Hardy spaces Hp which are g-invariant (i.e., g. L ⊆ L) where g is inner, g ≠ 1. If p = 2, theWold decomposition theorem implies that there is a countable “g-basis” f1, f2, . . . of L in the sense that L is a direct sum of spaces fj . H2[g] where H2[g] = {f o g | f ∈ H2}. The basis elements fj satisfy the additional property that ∫T |fj|2gk = 0, k = 1, 2, . . . . We call such functions g-2-inner. It also follows that any f ∈ H2 can be factored f = hf ,2 . (F2 o g) where hf,2 is g-2-inner and F is outer, generalizing the classical Riesz factor

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14

Denega, Iryna, and Yaroslav Zabolotnyi. "On products of the inner radii of the domains containing points of some straight line." Ukrainian Mathematical Bulletin 21, no. 2 (2024): 148–67. https://doi.org/10.37069/1810-3200-2024-21-2-1.

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In this paper, estimates of products of the inner radii of non-overlapping domains containing points of some straight line have been obtained. The application of the obtained results to functions regular in a unit circle without common values has also been considered. Estimates of the derivatives of modules at more than two points for univalent functions with fixed values \(f_{k}(0)\) on some straight line have been proved.

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15

Shi, Y. Y., and Y. F. Zhu. "Quantum communication complexity of block-composed functions." Quantum Information and Computation 9, no. 5&6 (2009): 444–60. http://dx.doi.org/10.26421/qic9.5-6-7.

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A major open problem in communication complexity is whether or not quantum protocols can be exponentially more efficient than classical ones for computing a {\em total} Boolean function in the two-party interactive model. Razborov's result ({\em Izvestiya: Mathematics}, 67(1):145--159, 2002) implies the conjectured negative answer for functions $F$ of the following form: $F(x, y)=f_n(x_1\cdot y_1, x_2\cdot y_2, ..., x_n\cdot y_n)$, where $f_n$ is a {\em symmetric} Boolean function on $n$ Boolean inputs, and $x_i$, $y_i$ are the $i$'th bit of $x$ and $y$, respectively. His proof critically depe

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16

Pihakaski-Maunsbach, Kaarina, Henrik Vorum, Bent Honoré, et al. "Locations, abundances, and possible functions of FXYD ion transport regulators in rat renal medulla." American Journal of Physiology-Renal Physiology 291, no. 5 (2006): F1033—F1044. http://dx.doi.org/10.1152/ajprenal.00086.2006.

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The γ-subunit of Na-K-ATPase (FXYD2) and corticosteroid hormone-induced factor (CHIF; FXYD4) are considered pump regulators in kidney tubules. The aim of this study was to expand the information about their locations in the kidney medulla and to evaluate their importance for electrolyte excretion in an animal model. The cellular and subcellular locations and abundances of γ and CHIF in the medulla of control and sodium-depleted rats were analyzed by immunofluorescence and immunoelectron microscopy and semiquantitative Western blotting. The results showed that antibodies against the γ-subunit C

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17

Bandura, A. I., O. B. Skaskiv, and T. M. Salo. "Note on composition of entire functions and bounded $L$-index in direction." Matematychni Studii 55, no. 1 (2021): 51–56. http://dx.doi.org/10.30970/ms.55.1.51-56.

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We study the following question: ``Let $f\colon \mathbb{C}\to \mathbb{C}$ be an entire function of bounded $l$-index, $\Phi\colon \mathbb{C}^n\to \mathbb{C}$ an be entire function, $n\geq2,$ $l\colon \mathbb{C}\to \mathbb{R}_+$ be a continuous function. What is a positive continuous function $L\colon \mathbb{C}^n\to \mathbb{R}_+$ and a direction $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ such that the composite function $f(\Phi(z))$ has bounded $L$-index in the direction~$\mathbf{b}$?'' In the present paper, early known result on boundedness of $L$-index in direction for the compositio

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18

BAO, GUANLONG, JAVAD MASHREGHI, STAMATIS POULIASIS, and HASI WULAN. "MÖBIUS INVARIANT FUNCTION SPACES AND DIRICHLET SPACES WITH SUPERHARMONIC WEIGHTS." Journal of the Australian Mathematical Society 106, no. 1 (2018): 1–18. http://dx.doi.org/10.1017/s1446788718000022.

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Let ${\mathcal{D}}_{\unicode[STIX]{x1D707}}$ be Dirichlet spaces with superharmonic weights induced by positive Borel measures $\unicode[STIX]{x1D707}$ on the open unit disk. Denote by $M({\mathcal{D}}_{\unicode[STIX]{x1D707}})$ Möbius invariant function spaces generated by ${\mathcal{D}}_{\unicode[STIX]{x1D707}}$. In this paper, we investigate the relation among ${\mathcal{D}}_{\unicode[STIX]{x1D707}}$, $M({\mathcal{D}}_{\unicode[STIX]{x1D707}})$ and some Möbius invariant function spaces, such as the space $BMOA$ of analytic functions on the open unit disk with boundary values of bounded mean

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19

Gohma, Hiroshi, Takashi Kuramoto, Mitsuru Kuwamura, et al. "WTC deafness Kyoto (dfk): a rat model for extensive investigations of Kcnq1 functions." Physiological Genomics 24, no. 3 (2006): 198–206. http://dx.doi.org/10.1152/physiolgenomics.00221.2005.

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KCNQ1 forms K+ channels by assembly with regulatory subunit KCNE proteins and plays a key role in the K+ homeostasis in a variety of tissues. In the heart, KCNQ1 is coassembled with KCNE1 to produce a cardiac delayed rectifier K+ current. In the inner ear, the KCNQ1/KCNE1 complex maintains the high concentration of K+ in the endolymph. In the stomach, KCNQ1 is coassembled with KCNE2 to form the K+ exflux channel that is essential for gastric acid secretion. In the colon and small intestine, KCNQ1 is coassembled with KCNE3 to play an important role in transepithelial cAMP-stimulated Cl− secreti

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20

Kohan, D. E., and F. T. Fiedorek. "Endothelin synthesis by rat inner medullary collecting duct cells." Journal of the American Society of Nephrology 2, no. 2 (1991): 150–55. http://dx.doi.org/10.1681/asn.v22150.

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Endothelin has been shown to affect a broad range of renal functions, including rat inner medullary collecting duct Na/K ATPase activity, renin release, renal blood flow, and glomerular filtration rate. The source of endothelin in the kidney has been assumed to be endothelial cells. However, the inner medulla contains the highest concentration of immunoreactive endothelin in the kidney. Additionally, MDCK cells, a distal tubule-like cell line, synthesize endothelin. In order to determine if primary renal tubule cells release endothelin, supernatants collected from rat inner medullary collectin

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21

Bandura, A. I., O. B. Skaskiv, and I. R. Tymkiv. "Composition of entire and analytic functions in the unit ball." Carpathian Mathematical Publications 14, no. 1 (2022): 95–104. http://dx.doi.org/10.15330/cmp.14.1.95-104.

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In this paper, we investigate a composition of entire function of several complex variables and analytic function in the unit ball. We modified early known results with conditions providing equivalence of boundedness of $L$-index in a direction for such a composition and boundedness of $l$-index of initial function of one variable, where the continuous function $L:\mathbb{B}^n\to \mathbb{R}_+$ is constructed by the continuous function $l: \mathbb{C}^m\to \mathbb{R}_+.$ Taking into account new ideas from recent results on composition of entire functions, we remove a condition that a directional

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Archbold, Robert J., and Douglas W. B. Somerset. "The Inner Corona Algebra of a C0(X)-Algebra." Proceedings of the Edinburgh Mathematical Society 60, no. 2 (2016): 299–318. http://dx.doi.org/10.1017/s0013091516000171.

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AbstractLet A = C(X) ⊗ K(H), where X is a compact Hausdorff space and K(H) is the algebra of compact operators on a separable infinite-dimensional Hilbert space. Let As be the algebra of strong*-continuous functions from X to K(H). Then As/A is the inner corona algebra of A. We show that if X has no isolated points, then As/A is an essential ideal of the corona algebra of A, and Prim(As/A), the primitive ideal space of As/A, is not weakly Lindelof. If X is also first countable, then there is a natural injection from the power set of X to the lattice of closed ideals of As/A. If X = βℕ\ℕ and th

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23

Sepúlveda, Francisco V., L. Pablo Cid, Jacques Teulon, and María Isabel Niemeyer. "Molecular Aspects of Structure, Gating, and Physiology of pH-Sensitive Background K2P and Kir K+-Transport Channels." Physiological Reviews 95, no. 1 (2015): 179–217. http://dx.doi.org/10.1152/physrev.00016.2014.

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K+ channels fulfill roles spanning from the control of excitability to the regulation of transepithelial transport. Here we review two groups of K+ channels, pH-regulated K2P channels and the transport group of Kir channels. After considering advances in the molecular aspects of their gating based on structural and functional studies, we examine their participation in certain chosen physiological and pathophysiological scenarios. Crystal structures of K2P and Kir channels reveal rather unique features with important consequences for the gating mechanisms. Important tasks of these channels are

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Chen, Xiang, Yuwen Huang, Pan Gao, et al. "Knockout of mafba Causes Inner-Ear Developmental Defects in Zebrafish via the Impairment of Proliferation and Differentiation of Ionocyte Progenitor Cells." Biomedicines 9, no. 11 (2021): 1699. http://dx.doi.org/10.3390/biomedicines9111699.

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Zebrafish is an excellent model for exploring the development of the inner ear. Its inner ear has similar functions to that of humans, specifically in the maintenance of hearing and balance. Mafba is a component of the Maf transcription factor family. It participates in multiple biological processes, but its role in inner-ear development remains poorly understood. In this study, we constructed a mafba knockout (mafba−/−) zebrafish model using CRISPR/Cas9 technology. The mafba−/− mutant inner ear displayed severe impairments, such as enlarged otocysts, smaller or absent otoliths, and insensitiv

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YANG, XIAONAN, and HONG-KUN XU. "Projection algorithms for composite minimization." Carpathian Journal of Mathematics 33, no. 3 (2017): 389–97. http://dx.doi.org/10.37193/cjm.2017.03.14.

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Parallel and cyclic projection algorithms are proposed for minimizing the sum of a finite family of convex functions over the intersection of a finite family of closed convex subsets of a Hilbert space. These algorithms consist of two steps. Once the kth iterate is constructed, an inner circle of gradient descent process is executed through each local function, and then a parallel or cyclic projection process is applied to produce the (k + 1) iterate. These algorithms are proved to converge to an optimal solution of the composite minimization problem under investigation upon assuming boundedne

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Gorinski, Nataliya, Daniel Wojciechowski, Daria Guseva, et al. "DHHC7-mediated palmitoylation of the accessory protein barttin critically regulates the functions of ClC-K chloride channels." Journal of Biological Chemistry 295, no. 18 (2020): 5970–83. http://dx.doi.org/10.1074/jbc.ra119.011049.

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Barttin is the accessory subunit of the human ClC-K chloride channels, which are expressed in both the kidney and inner ear. Barttin promotes trafficking of the complex it forms with ClC-K to the plasma membrane and is involved in activating this channel. Barttin undergoes post-translational palmitoylation that is essential for its functions, but the enzyme(s) catalyzing this post-translational modification is unknown. Here, we identified zinc finger DHHC-type containing 7 (DHHC7) protein as an important barttin palmitoyl acyltransferase, whose depletion affected barttin palmitoylation and ClC

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Xu, Rang Shu, Ling Niu, Xin Zhu Weng, Long Xu, and Min Li Bai. "Investigation of Numerical Simulation in Combustion Chamber Predictability." Advanced Materials Research 317-319 (August 2011): 2085–90. http://dx.doi.org/10.4028/www.scientific.net/amr.317-319.2085.

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For the purpose of increasing applicability of combustion chamber simulation, computational domain, boundary condition, simplicity of complicated structures, mesh generation and physical parameters are investigated in this paper. An annular combustion chamber of some aero-engine is studied by means of predictive numerical simulation. The computational domain includes diffuser, swirler, inner flame tube, inner ring of combustion chamber and the flow channel of all the holes on the wall of flame tube. The film cooling holes row was simplified into a slit filled with porous media. Realizable k-tu

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Li, Y., A. A. Grin, and A. V. Kuzmich. "SPECIFIED GLOBAL POINCARE–BENDIXSON ANNULUS WITH THE LIMIT CYCLE OF THE RAYLEIGH SYSTEM." Дифференциальные уравнения 60, no. 6 (2024): 736–46. http://dx.doi.org/10.31857/s0374064124060023.

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In the work of A. Grin and K. Schneider [1] two algebraic transversal ovals, which form the Poincare–Bendixson annulus 𝐴(𝜆), are analytically constructed. This annulus contains the unique limit cycle of the Rayleigh equation ¨ 𝑥+𝜆( ˙ 𝑥2/3−1) ˙ 𝑥+𝑥 = 0 for all values of the parameter 𝜆 > 0. In the constructed annulus 𝐴(𝜆) inner boundary consists of zero-level set of the Dulac–Cherkas function and outer boundary represents the diffeomorphic image corresponding boundary of such an annulus for the van der Pol system. In this paper new methods of construction two Dulac–Cherkas functions are work

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Tang, Rui, Songjie Xie, and Youlong Wu. "On the Achievable Rate Region of the K-Receiver Broadcast Channels via Exhaustive Message Splitting." Entropy 23, no. 11 (2021): 1408. http://dx.doi.org/10.3390/e23111408.

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This paper focuses on K-receiver discrete-time memoryless broadcast channels (DM-BCs) with private messages, where the transmitter wishes to convey K private messages to K receivers. A general inner bound on the capacity region is proposed based on an exhaustive message splitting and a K-level modified Marton’s coding. The key idea is to split every message into ∑j=1KKj−1 submessages each corresponding to a set of users who are assigned to recover them, and then send these submessages via codewords chosen from a K-level structure codebooks. To guarantee the joint typicality among all transmitt

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GOODYEAR, MELINDA J., SHEILA G. CREWTHER, and BARBARA M. JUNGHANS. "A role for aquaporin-4 in fluid regulation in the inner retina." Visual Neuroscience 26, no. 2 (2009): 159–65. http://dx.doi.org/10.1017/s0952523809090038.

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AbstractMany diverse retinal disorders are characterized by retinal edema; yet, little experimental attention has been given to understanding the fundamental mechanisms underlying and contributing to these fluid-based disorders. Water transport in and out of cells is achieved by specialized membrane channels, with most rapid water transport regulated by transmembrane water channels known as aquaporins (AQPs). The predominant AQP in the mammalian retina is AQP4, which is expressed on the Müller glial cells. Müller cells have previously been shown to modulate neuronal activity by modifying the c

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Hyndman, Kelly A., Chin-Rang Yang, Hyun Jun Jung, Ezigbobiara N. Umejiego, Chung-Ling Chou, and Mark A. Knepper. "Proteomic determination of the lysine acetylome and phosphoproteome in the rat native inner medullary collecting duct." Physiological Genomics 50, no. 9 (2018): 669–79. http://dx.doi.org/10.1152/physiolgenomics.00029.2018.

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Phosphorylation and lysine (K)-acetylation are dynamic posttranslational modifications of proteins. Previous proteomic studies have identified over 170,000 phosphorylation sites and 15,000 K-acetylation sites in mammals. We recently reported that the inner medullary collecting duct (IMCD), which functions in the regulation of water-reabsorption, via the actions of vasopressin, expresses many of the enzymes that can modulated K-acetylation. The purpose of this study was to determine the K-acetylated or phosphorylated proteins expressed in IMCD cells. Second we questioned whether vasopressin V2

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Shumilina, Ekaterina, Stephan M. Huber, and Florian Lang. "Ca2+signaling in the regulation of dendritic cell functions." American Journal of Physiology-Cell Physiology 300, no. 6 (2011): C1205—C1214. http://dx.doi.org/10.1152/ajpcell.00039.2011.

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Dendritic cells (DCs) are highly versatile antigen-presenting cells critically involved in both innate and adaptive immunity as well as maintenance of self-tolerance. DC function is governed by Ca2+signaling, which directs the DC responses to diverse antigens, including Toll-like receptor ligands, intact bacteria, and microbial toxins. Ca2+-sensitive DC functions include DC activation, maturation, migration, and formation of immunological synapses with T cells. Moreover, alterations of cytosolic Ca2+trigger immune suppression or switch off DC activity. Ca2+signals are generated by the orchestr

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Kabanets, Valentine, Sajin Koroth, Zhenjian Lu, Dimitrios Myrisiotis, and Igor C. Oliveira. "Algorithms and Lower Bounds for De Morgan Formulas of Low-Communication Leaf Gates." ACM Transactions on Computation Theory 13, no. 4 (2021): 1–37. http://dx.doi.org/10.1145/3470861.

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The class FORMULA[s]∘G consists of Boolean functions computable by size- s De Morgan formulas whose leaves are any Boolean functions from a class G. We give lower bounds and (SAT, Learning, and pseudorandom generators ( PRG s )) algorithms for FORMULA[n 1.99 ]∘G, for classes G of functions with low communication complexity . Let R (k) G be the maximum k -party number-on-forehead randomized communication complexity of a function in G. Among other results, we show the following: • The Generalized Inner Product function GIP k n cannot be computed in FORMULA[s]° G on more than 1/2+ε fraction of in

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Bagchi, Susmit. "Topological Sigma-Semiring Separation and Ordered Measures in Noetherian Hyperconvexes." Symmetry 14, no. 2 (2022): 422. http://dx.doi.org/10.3390/sym14020422.

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The interplay between topological hyperconvex spaces and sigma-finite measures in such spaces gives rise to a set of analytical observations. This paper introduces the Noetherian class of k-finite k-hyperconvex topological subspaces (NHCs) admitting countable finite covers. A sigma-finite measure is constructed in a sigma-semiring in a NHC under a topological ordering of NHCs. The topological ordering relation maintains the irreflexive and anti-symmetric algebraic properties while retaining the homeomorphism of NHCs. The monotonic measure sequence in a NHC determines the convexity and compactn

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35

Devasthale, A., U. Willén, K. G. Karlsson, and C. G. Jones. "Quantifying the clear-sky temperature inversion frequency and strength over the Arctic Ocean during summer and winter seasons from AIRS profiles." Atmospheric Chemistry and Physics Discussions 10, no. 2 (2010): 2835–58. http://dx.doi.org/10.5194/acpd-10-2835-2010.

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Abstract. Temperature inversions are one of the dominant features of the Arctic atmosphere and play a crucial role in various processes by controlling the transfer of mass and moisture fluxes through the lower troposphere. It is therefore essential that they are accurately quantified, monitored and simulated as realistically as possible over the Arctic regions. In the present study, the characteristics of inversions in terms of frequency and strength are quantified for the entire Arctic Ocean for summer and winter seasons of 2003 to 2008 using the AIRS data for the clear-sky conditions. The pr

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Holmuhamedov, Ekshon L., Sofija Jovanović, Petras P. Dzeja, Aleksandar Jovanović, and Andre Terzic. "Mitochondrial ATP-sensitive K+ channels modulate cardiac mitochondrial function." American Journal of Physiology-Heart and Circulatory Physiology 275, no. 5 (1998): H1567—H1576. http://dx.doi.org/10.1152/ajpheart.1998.275.5.h1567.

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Discovered in the cardiac sarcolemma, ATP-sensitive K+(KATP) channels have more recently also been identified within the inner mitochondrial membrane. Yet the consequences of mitochondrial KATP channel activation on mitochondrial function remain partially documented. Therefore, we isolated mitochondria from rat hearts and used K+ channel openers to examine the effect of mitochondrial KATPchannel opening on mitochondrial membrane potential, respiration, ATP generation, Ca2+ transport, and matrix volume. From a mitochondrial membrane potential of −180 ± 15 mV, K+ channel openers, pinacidil (100

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37

Everard-Gigot, Valerie, Cory D. Dunn, Brigid M. Dolan, Susanne Brunner, Robert E. Jensen, and Rosemary A. Stuart. "Functional Analysis of Subunit e of the F1Fo-ATP Synthase of the Yeast Saccharomyces cerevisiae: Importance of the N-Terminal Membrane Anchor Region." Eukaryotic Cell 4, no. 2 (2005): 346–55. http://dx.doi.org/10.1128/ec.4.2.346-355.2005.

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ABSTRACT Mitochondrial F1Fo-ATP synthase complexes do not exist as physically independent entities but rather form dimeric and possibly oligomeric complexes in the inner mitochondrial membrane. Stable dimerization of two F1Fo-monomeric complexes involves the physical association of two membrane-embedded Fo-sectors. Previously, formation of the ATP synthase dimeric-oligomeric network was demonstrated to play a critical role in modulating the morphology of the mitochondrial inner membrane. In Saccharomyces cerevisiae, subunit e (Su e) of the Fo-sector plays a central role in supporting ATP synth

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Costanzo, Maria C., Nathalie Bonnefoy, Elizabeth H. Williams, G. Desmond Clark-Walker, and Thomas D. Fox. "Highly Diverged Homologs of Saccharomyces cerevisiae Mitochondrial mRNA-Specific Translational Activators Have Orthologous Functions in Other Budding Yeasts." Genetics 154, no. 3 (2000): 999–1012. http://dx.doi.org/10.1093/genetics/154.3.999.

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Abstract Translation of mitochondrially coded mRNAs in Saccharomyces cerevisiae depends on membrane-bound mRNA-specific activator proteins, whose targets lie in the mRNA 5′-untranslated leaders (5′-UTLs). In at least some cases, the activators function to localize translation of hydrophobic proteins on the inner membrane and are rate limiting for gene expression. We searched unsuccessfully in divergent budding yeasts for orthologs of the COX2- and COX3-specific translational activator genes, PET111, PET54, PET122, and PET494, by direct complementation. However, by screening for complementation

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39

Jaisser, F., N. Coutry, N. Farman, H. J. Binder, and B. C. Rossier. "A putative H(+)-K(+)-ATPase is selectively expressed in surface epithelial cells of rat distal colon." American Journal of Physiology-Cell Physiology 265, no. 4 (1993): C1080—C1089. http://dx.doi.org/10.1152/ajpcell.1993.265.4.c1080.

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Recently, a putative distal colon H(+)-K(+)-ATPase alpha-subunit has been identified and characterized (M. S. Crowson and G. E. Shull. J. Biol. Chem. 267:13740-13748, 1992). In the present study, we report the tissue and cell expression of this putative H(+)-K(+)-ATPase. The results indicate that, first, in the gut, the putative H(+)-K(+)-ATPase alpha-subunit is restricted to the distal part of the colon and is predominantly expressed in surface epithelial cells, in marked contrast to the alpha 1-subunit of Na(+)-K(+)-ATPase that is also expressed in glands. These data suggest that the H(+)-K(

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Grigoryan, S. A., and T. V. Tonev. "Blaschke inductive limits of uniform algebras." International Journal of Mathematics and Mathematical Sciences 27, no. 10 (2001): 599–620. http://dx.doi.org/10.1155/s0161171201006792.

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We consider and studyBlaschke inductive limit algebrasA(b), defined as inductive limits of disc algebrasA(D)linked by a sequenceb={Bk}k=1∞of finite Blaschke products. It is well known that bigG-disc algebrasAGover compact abelian groupsGwith ordered dualsΓ=Gˆ⊂ℚcan be expressed as Blaschke inductive limit algebras. Any Blaschke inductive limit algebraA(b)is a maximal and Dirichlet uniform algebra. Its Shilov boundary∂A(b)is a compact abelian group with dual group that is a subgroup ofℚ. It is shown that a bigG-disc algebraAGover a groupGwith ordered dualGˆ⊂ℝis a Blaschke inductive limit algebra

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Delpire, Eric, and Kenneth B. Gagnon. "Na⁺‐K⁺‐2Cl⁻ Cotransporter (NKCC) Physiological Function in Nonpolarized Cells and Transporting Epithelia." Comprehensive Physiology 8, no. 2 (2018): 871–901. https://doi.org/10.1002/j.2040-4603.2018.tb00016.x.

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ABSTRACTTwo genes encode the Na+‐K+‐2Cl− cotransporters, NKCC1 and NKCC2, that mediate the tightly coupled movement of 1Na+, 1K+, and 2Cl− across the plasma membrane of cells. Na+‐K+‐2Cl− cotransport is driven by the chemical gradient of the three ionic species across the membrane, two of them maintained by the action of the Na+/K+ pump. In many cells, NKCC1 accumulates Cl− above its electrochemical potential equilibrium, thereby facilitating Cl− channel‐mediated membrane depolarization. In smooth muscle cells, this depolarization facilitates the opening of voltage‐sensitive Ca2+ channels, lea

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Rifaldo, Zulpikar, Burhan Hafid, Zakir Husin, Etanto Heiliano Wijayanto, and Muhammad Idris. "Analysis of Heat Transfer in Shell and Tube Type Condensers." JOURNAL OF MECHANICAL ENGINEERING MANUFACTURES MATERIALS AND ENERGY 8, no. 1 (2024): 67–74. http://dx.doi.org/10.31289/jmemme.v8i1.6238.

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A heat exchanger is a device used to exchange or change the temperature of a fluid by exchanging heat with another fluid. One of the heat exchangers is a surface type condenser where the steam is separated from the cooling water, the steam is outside the pipes while the cooling water is in the pipes at PT. SOCIMAS. At PT. SOCIMAS, the condenser is part of the main cooling system which functions to condense steam into water and maintain the efficiency and work cycle of the turbine high. For this reason, this final project report focuses on condenser analysis. The results obtained from this fina

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Mitsopoulos, Panagiotis, Julie St-Pierre, Stanley Dunn, and Joaquín Madrenas. "Bioenergetics of stomatin-like protein-2-deficient T cells reveal a regulatory role for this protein in immunometabolism (P1173)." Journal of Immunology 190, no. 1_Supplement (2013): 50.29. http://dx.doi.org/10.4049/jimmunol.190.supp.50.29.

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Abstract Stomatin-like protein (SLP)-2 is a mainly mitochondrial protein identified in proteome analysis of glycolipid-enriched membrane microdomains of mammalian cells, and modulates T cell activation. To study SLP-2 function we generated T cell-specific SLP-2 knockout (SLP-2 T-K/O) mice since conventional SLP-2 knockout mice were embryonic lethal at the pre-implantation stage. These mice showed reduced CD4+ T cell responses and decreased respiratory complex I and II+III activities. Our mechanistic studies suggest SLP-2 recruits prohibitins to cardiolipin (CL)-enriched domains in the mitochon

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44

Devasthale, A., U. Willén, K. G. Karlsson, and C. G. Jones. "Quantifying the clear-sky temperature inversion frequency and strength over the Arctic Ocean during summer and winter seasons from AIRS profiles." Atmospheric Chemistry and Physics 10, no. 12 (2010): 5565–72. http://dx.doi.org/10.5194/acp-10-5565-2010.

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Abstract. Temperature inversions are one of the dominant features of the Arctic atmosphere and play a crucial role in various processes by controlling the transfer of mass and moisture fluxes through the lower troposphere. It is therefore essential that they are accurately quantified, monitored and simulated as realistically as possible over the Arctic regions. In the present study, the characteristics of inversions in terms of frequency and strength are quantified for the entire Arctic Ocean for summer and winter seasons of 2003 to 2008 using the AIRS data for the clear-sky conditions. The pr

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45

Babe Cheikh, A., A. Bouhlal, A. Jellal, and E. H. Atmani. "Tunneling effect in gapped graphene disk in magnetic flux and electrostatic potential." Physica Scripta 96, no. 12 (2021): 125863. http://dx.doi.org/10.1088/1402-4896/ac3b6a.

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Abstract We investigate the tunneling effect of a Corbino disk in graphene in the presence of a variable magnetic flux Φ i created by a solenoid piercing the inner disk under the effect of a finite mass term in the disk region (R 1 < r < R 2) and an electrostatic potential. Considering different regions, we explicitly determine the associated eigenspinors in terms of Hankel functions. The use of matching conditions and asymptotic behavior of Hankel functions for large arguments, enables us to calculate transmission and other transport quantities. Our results show that the energy gap supp

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46

Schroeder, Indra, та Ulf-Peter Hansen. "Tl+-induced μs Gating of Current Indicates Instability of the MaxiK Selectivity Filter as Caused by Ion/Pore Interaction". Journal of General Physiology 131, № 4 (2008): 365–78. http://dx.doi.org/10.1085/jgp.200809956.

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Patch clamp experiments on single MaxiK channels expressed in HEK293 cells were performed at high temporal resolution (50-kHz filter) in asymmetrical solutions containing 0, 25, 50, or 150 mM Tl+ on the luminal or cytosolic side with [K+] + [Tl+] = 150 mM and 150 mM K+ on the other side. Outward current in the presence of cytosolic Tl+ did not show fast gating behavior that was significantly different from that in the absence of Tl+. With luminal Tl+ and at membrane potentials more negative than −40 mV, the single-channel current showed a negative slope resistance concomitantly with a flickery

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47

Ogierman, Monica, and Volkmar Braun. "Interactions between the Outer Membrane Ferric Citrate Transporter FecA and TonB: Studies of the FecA TonB Box." Journal of Bacteriology 185, no. 6 (2003): 1870–85. http://dx.doi.org/10.1128/jb.185.6.1870-1885.2003.

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ABSTRACT Both induction of transcription of the ferric citrate transport genes and transport of ferric citrate by the Escherichia coli outer membrane receptor FecA require energy derived from the proton motive force (PMF) of the inner membrane. The energy is transduced to FecA by the inner membrane complex, TonB, ExbB, and ExbD. Region 160 of TonB and the conserved TonB box of other TonB-dependent receptors are implicated as sites of interaction. In the present study, the postulated TonB box (D80A81L82T83V84) of FecA was deleted in frame, with a subsequent loss of both FecA functions. DALTV of

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48

Schippers, Eric, and Wolfgang Staubach. "Plemelj–Sokhotski isomorphism for quasicircles in Riemann surfaces and the Schiffer operators." Mathematische Annalen 378, no. 3-4 (2019): 1613–53. http://dx.doi.org/10.1007/s00208-019-01922-4.

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Abstract Let R be a compact Riemann surface and $$\Gamma $$ Γ be a Jordan curve separating R into connected components $$\Sigma _1$$ Σ 1 and $$\Sigma _2$$ Σ 2 . We consider Calderón–Zygmund type operators $$T(\Sigma _1,\Sigma _k)$$ T ( Σ 1 , Σ k ) taking the space of $$L^2$$ L 2 anti-holomorphic one-forms on $$\Sigma _1$$ Σ 1 to the space of $$L^2$$ L 2 holomorphic one-forms on $$\Sigma _k$$ Σ k for $$k=1,2$$ k = 1 , 2 , which we call the Schiffer operators. We extend results of Max Schiffer and others, which were confined to analytic Jordan curves $$\Gamma $$ Γ , to general quasicircles, and

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Ahmad, Nisar, Ivana L. de la Serna, Himangi G. Marathe, et al. "Eutherian-Specific Functions of BetaM Acquired through Atp1b4 Gene Co-Option in the Regulation of MyoD Expression." Life 13, no. 2 (2023): 414. http://dx.doi.org/10.3390/life13020414.

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Vertebrate ATP1B4 genes represent a rare instance of orthologous gene co-option, resulting in radically different functions of the encoded BetaM proteins. In lower vertebrates, BetaM is a Na, K-ATPase β-subunit that is a component of ion pumps in the plasma membrane. In placental mammals, BetaM lost its ancestral role and, through structural alterations of the N-terminal domain, became a skeletal and cardiac muscle-specific protein of the inner nuclear membrane, highly expressed during late fetal and early postnatal development. We previously determined that BetaM directly interacts with the t

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Sekiguchi, Yuji, Yoichi Kamagata, Kazunori Nakamura, Akiyoshi Ohashi, and Hideki Harada. "Fluorescence In Situ Hybridization Using 16S rRNA-Targeted Oligonucleotides Reveals Localization of Methanogens and Selected Uncultured Bacteria in Mesophilic and Thermophilic Sludge Granules." Applied and Environmental Microbiology 65, no. 3 (1999): 1280–88. http://dx.doi.org/10.1128/aem.65.3.1280-1288.1999.

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ABSTRACT 16S rRNA-targeted in situ hybridization combined with confocal laser scanning microscopy was used to elucidate the spatial distribution of microbes within two types of methanogenic granular sludge, mesophilic (35°C) and thermophilic (55°C), in upflow anaerobic sludge blanket reactors fed with sucrose-, acetate-, and propionate-based artificial wastewater. The spatial organization of the microbes was visualized in thin sections of the granules by using fluorescent oligonucleotide probes specific to several phylogenetic groups of microbes. In situ hybridization with archaeal- and bacter

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