Results 41 to 50 of about 2,326,383 (287)
Positive-Definiteness, Integral Equations and Fourier Transforms
Journal of Integral Equations and Applications, 2004 The authors investigate the integral operator \[ A: L^2(\mathbb{R})\to L^2(\mathbb{R}),\quad (Au)(x)= \int^\infty_{-\infty} k(x,y) u(y)\,dy, \] \(x\in\mathbb{R}\), where \(k\) is positive definite kernel function (a special symmetric kernel). Let \(\widehat k(t,s)\) be the Fourier transform of the kernel \(k\) and \(\widetilde k(t,s):=\widehat k(t,-s)\)
Buescu, J. +3 more
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Nonlinear integrable equations and nonlinear Fourier transform [PDF]
, 1997 In the paper we study nonlocal functionals whose kernels are homogeneous generalized functions. We also use such functionals to solve the Korteweg-de Vries , the nonlinear Schrödinger and the Davey-Stewartson equations.
Fokas, A. S. +2 more
openaire +2 more sources
On a transformation between hierarchies of integrable equations [PDF]
Physics Letters A, 2006 8 ...
Gürses, M., Zheltukhin, K.
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Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D [PDF]
, 2013 This is the post-print version of the article. The official published version can be accessed from the links below - Copyright @ 2013 Springer-VerlagA numerical implementation of the direct boundary-domain integral and integro-differential equations ...
Mikhailov, SE +2 more
core +1 more source
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
wiley +1 more source
A New Approach on Transforms: Formable Integral Transform and Its Applications
Axioms, 2021 In this paper, we introduce a new integral transform called the Formable integral transform, which is a new efficient technique for solving ordinary and partial differential equations.
Rania Zohair Saadeh +1 more
doaj +1 more source
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
wiley +1 more source
Transformation and integrability of a generalized short pulse equation [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2016 By means of transformations to nonlinear Klein-Gordon equations, we show that a generalized short pulse equation is integrable in two (and, most probably, only two) distinct cases of its coefficients. The first case is the original short pulse equation (SPE).
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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
wiley +1 more source
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
wiley +1 more source