Results 51 to 60 of about 17,758,657 (325)
MathematicsThis paper presents an analytical investigation of a class of two-dimensional nonlinear discrete systems governed by bilinear difference equations. By leveraging the explicit representation theory for first-order bilinear recursions, we derive closed ...
Hashem Althagafi
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The Form of the Solutions of System of Rational Difference Equation
Journal of Mathematical Sciences and Modelling, 2018 In this article, we study the form of the solutions of the system of difference equations $x_{n+1}=((y_{n-8})/(1+y_{n-2}x_{n-5}y_{n-8}))$, $y_{n+1}=((x_{n-8})/(\pm1\pm x_{n-2}y_{n-5}x_{n-8}))$, with the initial conditions are real numbers.
E. M. Elsayed, Marwa M. Alzubaidi
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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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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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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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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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Reproducing kernel functions for difference equations
, 2015 In this work, some new reproducing kernel functions for difference equations are found. Reproducing kernel functions have not been obtained for difference equations until now.
A. Akgül, E. Karataş
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FEBS Letters, EarlyView.Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
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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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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
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