Results 71 to 80 of about 110,219 (262)
Harmonic approximation of difference operators
Journal of Functional Analysis, 2009 For a general class of difference operators $H_\varepsilon = T_\varepsilon + V_\varepsilon$ on $\ell^2(\varepsilon\mathbb{Z}^d)$, where $V_\varepsilon$ is a multi-well potential and $\varepsilon$ is a small parameter, we analyze the asymptotic behavior as $\varepsilon\to 0$ of the (low-lying) eigenvalues and eigenfunctions.
Klein, Markus, Rosenberger, Elke
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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
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FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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Skew Divided Difference Operators and Schubert Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study an action of the skew divided difference operators on the Schubert polynomials and give an explicit formula for structural constants for the Schubert polynomials in terms of certain weighted paths in the Bruhat order on the symmetric group.
Anatol N. Kirillov
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Generalized powers of the difference operator [PDF]
Transactions of the American Mathematical Society, 1958 has a long history and an extensive literature, the most elegant and systematic accounts of it being those of Norlund [4] and Milne-Thomson [3]. The study of the operator has taken several directions, the main ones being the Bernoulli numbers and polynomials associated with it, the inversion of the operator, and the solution of certain difference ...
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FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
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Approximation Properties of the Strong Difference Operators
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper , we study some approximation properties of the strong difference and study the relation between the strong difference and the weighted modulus of ...
S. K. Al-Saidy, A. A. Hamood
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Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System
Symmetry, Integrability and Geometry: Methods and Applications, 2013 In this paper, we introduce a new differential-difference operator T_ξ (ξ∈R^N) by using projections associated to orthogonal subsystems in root systems.
Fethi Bouzeffour
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A note on fractional powers of first-order differential and difference operators in relation to fractional derivatives [PDF]
E-Journal of Analysis and Applied MathematicsThis paper concentrates on fractional derivatives and fractional powers of first-order differential and difference operators. It is illustrated how fractional derivatives are related to fractional powers of a first-order positive operator with boundary ...
Ramil Salimov
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Phosphoinositides and inositol phosphates as molecular glues
FEBS Letters, EarlyView.Inositol phosphates (IPs) and phosphoinositides (PIPs) regulate diverse eukaryotic processes. Beyond recruiting signaling proteins or acting as structural cofactors, recent studies suggest they mediate protein–protein interactions as natural molecular glues.
Aleshia Seaton‐Terry +9 more
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