1,233 research outputs found

    Molecular mechanisms of the regulation of ATPase cycle in striated muscle

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    New data on the molecular mechanism of the regulation of ATPase cycle by troponin-tropomyosin system have been obtained in reconstructed muscle fibers by using the polarized fluorescence technique, which allowed us following the azimuthal movements of tropomyosin, actin subdomain-1 and myosin SH1 helix motor domain during the sequential steps of ATPase cycle. We found that tropomyosin strands "rolling" on thin filament surface from periphery to center at ATPase cycle increases the amplitudes of multistep changes in special arrangement of SH1 helix and subdomain-1 at force generation states. These changes seem to convey to actin monomers and to myosin "lever arm", resulting in enhance of the effectiveness of each cross-bridge work. At high-Ca^2+^ troponin, a shift of tropomyosin strands further to center at strong-binding states increases this effect. At low-Ca^2+^ troponin "freezes" tropomyosin and actin in states typical for weak-binding states, resulting in disturbing the teamwork of actin and myosin

    The Effect of IP Constituent Position and Foot Complexity on Timing in Polish Learner's English Pronunciation

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    A comparison of native and Polish learners' performance shows similar durations of stressed and pitch accented syllables. The unstressed syllables and syllable clusters, on the other hand, are significantly longer in non-native speech, and the discrepancies increase at lower phrasal prominence levels, especially in the preheads. Similar results for both groups have been obtained with respect to the number of consecutive unstressed syllables (foot complexity). The same test repeated after seven months of pronunciation training reveals a considerable tendency towards native speech timing, although the differences concerning low prominence levels remain significant

    The Feigin Tetrahedron

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    The first goal of this note is to extend the well-known Feigin homomorphisms taking quantum groups to quantum polynomial algebras. More precisely, we define generalized Feigin homomorphisms from a quantum shuffle algebra to quantum polynomial algebras which extend the classical Feigin homomorphisms along the embedding of the quantum group into said quantum shuffle algebra. In a recent work of Berenstein and the author, analogous extensions of Feigin homomorphisms from the dual Hall-Ringel algebra of a valued quiver to quantum polynomial algebras were defined. To relate these constructions, we establish a homomorphism, dubbed the quantum shuffle character, from the dual Hall-Ringel algebra to the quantum shuffle algebra which relates the generalized Feigin homomorphisms. These constructions can be compactly described by a commuting tetrahedron of maps beginning with the quantum group and terminating in a quantum polynomial algebra. The second goal in this project is to better understand the dual canonical basis conjecture for skew-symmetrizable quantum cluster algebras. In the symmetrizable types it is known that dual canonical basis elements need not have positive multiplicative structure constants, while this is still suspected to hold for skew-symmetrizable quantum cluster algebras. We propose an alternate conjecture for the symmetrizable types: the cluster monomials should correspond to irreducible characters of a KLR algebra. Indeed, the main conjecture of this note would establish this "KLR conjecture" for acyclic skew-symmetrizable quantum cluster algebras: that is, we conjecture that the images of rigid representations under the quantum shuffle character give irreducible characters for KLR algebras

    Tetramodules over a bialgebra form a 2-fold monoidal category

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    Differential graded categories and Deligne conjecture

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    Factorization of supersymmetric Hamiltonians in curvilinear coordinates

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    Planar supersymmetric quantum mechanical systems with separable spectral problem in curvilinear coordinates are analyzed in full generality. We explicitly construct the supersymmetric extension of the Euler/Pauli Hamiltonian describing the motion of a light particle in the field of two heavy fixed Coulombian centers. We shall also show how the SUSY Kepler/Coulomb problem arises in two different limits of this problem: either, the two centers collapse in one center - a problem separable in polar coordinates -, or, one of the two centers flies to infinity - to meet the Coulomb problem separable in parabolic coordinates.Comment: 13 pages. Based on the talk presented by M.A. Gonzalez Leon at the 7th International Conference on Quantum Theory and Symmetries (QTS7), August 07-13, 2011, Prague, Czech Republi
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