Results 41 to 50 of about 5,273 (265)
Transformations between Nonlocal and Local Integrable Equations
Studies in Applied Mathematics, 2017 AbstractRecently, a number of nonlocal integrable equations, such as the ‐symmetric nonlinear Schrödinger (NLS) equation and ‐symmetric Davey–Stewartson equations, were proposed and studied. Here, we show that many of such nonlocal integrable equations can be converted to local integrable equations through simple variable transformations.
Bo Yang, Jianke Yang
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FEBS Letters, EarlyView.An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
wiley +1 more source
Second order elliptic partial differential equations driven by Lévy white noise
Modern Stochastics: Theory and Applications, 2021 This paper deals with linear stochastic partial differential equations with variable coefficients driven by Lévy white noise. First, an existence theorem for integral transforms of Lévy white noise is derived and the existence of generalized and mild ...
David Berger, Farid Mohamed
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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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Ubiquitination of secretory granules promotes their crinophagic degradation in Drosophila
FEBS Letters, EarlyView.Ubiquitination of secretory granules in Drosophila larval salivary glands is a critical molecular trigger for crinophagy, the lysosomal degradation of unreleased, or low‐quality granules. The E3 ubiquitin ligase Cnot4 is recruited to the surface of secretory granules to induce crinophagy.
Tamás Csizmadia +6 more
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Electronic Journal of Differential Equations, 2018 In this article we study applications of integral transforms composition method (ITCM) for obtaining transmutations via integral transforms. It is possible to derive wide range of transmutation operators by this method.
Ahmed Fitouhi +3 more
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Integral transform approach to generalized Tricomi equations
Journal of Differential Equations, 2015 We present some integral transform that allows to obtain solutions of the generalized Tricomi equation from solutions of a simpler equation. We used in [13,14],[41]-[46] the particular version of this transform in order to investigate in a unified way several equations such as the linear and semilinear Tricomi equations, Gellerstedt equation, the wave ...
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Solution of integral equations by generalized Wavelet transform
Boletim da Sociedade Paranaense de Matemática, 2014 Wavelet transform and distributional wavelet transform are used to obtain the solution of few integral equations in this paper.
Deshna Loonker, P. K. Banerji
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Metamorphism—an integral transform reducing the order of a differential equation
Journal of Applied Analysis, 2023 Abstract We propose an integral transform, called metamorphism, which allows us to reduce the order of a differential equation. For example, the second-order Helmholtz equation is transformed into a first-order equation, which can be solved by the method of characteristics.
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