Results 71 to 80 of about 392,374 (316)
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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Method to solve integral equations of the first kind with an approximate input
, 2012 Techniques are proposed for solving integral equations of the first kind with an input known not precisely. The requirement that the solution sought for includes a given number of maxima and minima is imposed.
A. F. Verlan +9 more
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Molecular Oncology, EarlyView.Generation of two normal and tumour (cancerous) paired human cell lines using an established tissue culture technique and their characterisation is described. Cell lines were characterised at cellular, protein, chromosome and gene expression levels and for HPV status.
Simon Broad +12 more
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A note on integral transforms and differential equations [PDF]
, 2012 In this work a new integral transform, namely Sumudu transform was applied to solve linear ordinary differential equations with constant coefficients with convolution terms.
Eltayeb, Hassan +2 more
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Molecular Oncology, EarlyView.Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
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General convolutions of integral transforms and their application to ode and PDE problems
Mathematical Modelling and Analysis, 2006 The present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions of the Hankel transform with the following factorization properties: where Hv[f] (x) is the Hankel transform.
L. E. Britvina
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New homotopy analysis transform method for solving multidimensional fractional diffusion equations
Arab Journal of Basic and Applied Sciences, 2020 In this paper, we introduce a new semi-analytical method called the homotopy analysis Shehu transform method (HASTM) for solving multidimensional fractional diffusion equations.
Shehu Maitama, Weidong Zhao
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Fundamental Solutions for Hyperbolic Operators with Variable Coefficients [PDF]
, 2010 In this article we describe the novel method to construct fundamental solutions for operators with variable coefficients. That method was introduced in "A note on the fundamental solution for the Tricomi-type equation in the hyperbolic domain"(J ...
Yagdjian, Karen
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, 2022 Abstract The major objective of this paper is to propose a novel double Laplace – ARA transforms (DL-ARAT). We employ this transform to prove the convolution, existence and other relevant theorems as well as derivatives properties. Subsequently, this method is applied to solve some illustrative integral- differential equations.
Abdelilah Sedeeg +4 more
openaire +1 more source
Exploiting metabolic adaptations to overcome dabrafenib treatment resistance in melanoma cells
Molecular Oncology, EarlyView.We show that dabrafenib‐resistant melanoma cells undergo mitochondrial remodeling, leading to elevated respiration and ROS production balanced by stronger antioxidant defenses. This altered redox state promotes survival despite mitochondrial damage but renders resistant cells highly vulnerable to ROS‐inducing compounds such as PEITC, highlighting redox
Silvia Eller +17 more
wiley +1 more source