Results 51 to 60 of about 4,636,999 (250)
Dirichlet and Neumann Boundary Value Problems for Dunkl Polyharmonic Equations
, 2023 Dunkl operators are a family of commuting differential–difference operators associated with a finite reflection group. These operators play a key role in the area of harmonic analysis and theory of spherical functions.
Valery Karachik, Hongfen Yuan
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Three-Dimensional Second-Order Rational Difference Equations: Explicit Formulas and Simulations
MathematicsThis paper studies a three-dimensional second-order rational difference system, which generalizes earlier scalar and bidimensional models. We derive explicit closed-form solutions for general initial conditions and identify special cases that simplify ...
Ahmed Ghezal +2 more
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On oscillatory solutions of certain difference equations [PDF]
Opuscula Mathematica, 2006 Some difference equations with deviating arguments are discussed in the context of the oscillation problem. The aim of this paper is to present the sufficient conditions for oscillation of solutions of the equations discussed.
Grzegorz Grzegorczyk +1 more
doaj
Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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, 2020 In this paper, by using the Banach contraction principle and the Schauder’s fixed point theorem, we investigate existence results for a fractional impulsive sum-difference equations with periodic boundary conditions.
Rujira Ouncharoen +2 more
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Qualitative Behavior of the Solutions to Delay and Difference Equations
Вестник КазНУ. Серия математика, механика, информатика, 2018 It is noteworthy to observe that a first-order linear ordinary differential equation without delay does not possess oscillatory solutions. Therefore the investigation of oscillatory solutions is of interest for equations with delays or for the discrete
P. Ioannis
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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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Degradation mechanism of the von Willebrand factor A2 domain by nattokinase
FEBS Letters, EarlyView.Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto +3 more
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, 2020 In this paper, we study the existence of nontrivial solutions for a system of fractional q-difference equations involving q-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue ...
Jiafa Xu +3 more
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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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