Results 81 to 90 of about 151,638 (261)
An Iterative Method for Solving a System of Functional Equations
Advances in Mathematics, 1994 The authors solve the system of functional equations \[ \begin{alignedat}{2} & g(\tau+ x)= g(\tau) g(x)= g(x) g(\tau), && \quad x[0, 1-\tau)\\ & g(\xi+ x)= g(\xi) g(x)= g(x) g(\xi), &&\quad x[0, 1- \xi)\tag{S}\\ & g(x) g(\xi- x)= g(\xi), && \quad x[0, \xi],\end{alignedat} \] where \(g: [0, 1)\to G\) is an unknown function, \(G\) is a nontrivial group ...
Forti, Gian Luigi, Paganoni, Luigi
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Advances in Mathematical Physics, 2014 The shifted Jacobi-Gauss collocation (SJGC) scheme is proposed and implemented to solve the fractional neutral functional-differential equations with proportional delays.
A. H. Bhrawy, M. A. Alghamdi
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MITF maintains genome stability in nonmelanocyte lineages
Molecular Oncology, EarlyView.MITF is essential for melanocyte survival and acts as an oncogene in 10%–20% of melanomas. We show that MITF depletion causes genome instability in nonmelanocytic cells, leading to LATS2‐mediated P53 activation, cell cycle arrest, and apoptosis. This study highlights the role of MITF as a genome maintenance factor beyond the melanocyte lineage. Created
Drifa H. Gudmundsdottir +13 more
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Liquid biopsy‐based diagnostic evaluation of hypermethylated CpG sites for ovarian cancer diagnosis
Molecular Oncology, EarlyView.This schematic outlines the workflow from biomarker identification to duplex MethyLight assay validation for epithelial ovarian cancer diagnosis using cfDNA‐based liquid biopsy. Initial screening of hypermethylated CpG candidates (cg02957270, cg10061138 cg00480298, COL2A1) was performed in tissue using ARMS‐PCR, COBRA, qPCR and image analysis. Selected
Deepa Bisht +3 more
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On the existence of solutions of systems of functional differential equations [PDF]
Proceedings of the American Mathematical Society, 1954 where the symbol Y(x) stands for the set of functions {yh(Uk(X)) I (h = 1, * * *, n; k = 1, * * *, m). Under prescribed initial conditions this system is to be solved for the y's as functions of x. The functions fi, * * , f,n are given, and the functions ul(x), * * *, um(x) are also given.
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A k-Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay
Abstract and Applied Analysis, 2014 In 2010, Agarwal et al. studied the existence of a one-dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k-dimensional systems of fractional neutral functional differential ...
Dumitru Baleanu +2 more
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Molecular Oncology, EarlyView.Patient‐derived organoids (PDOs) from pancreatic, colorectal, and gastric cancers were used to evaluate standard and experimental therapies. Incorporating cancer‐associated fibroblasts (CAFs) into organoid cultures improved patient therapy outcome prediction.
Marcin Grochowski +12 more
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Functional Integral Approach to the Solution of a System of Stochastic Differential Equations
EPJ Web of Conferences, 2018 A new method for the evaluation of the characteristics of the solution of a system of stochastic differential equations is presented. This method is based on the representation of a probability density function p through a functional integral.
Ayryan Edik +4 more
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Loss of proton‐sensing TDAG8 increases tumor progression in mouse models of colon cancer
Molecular Oncology, EarlyView.Loss of the pH‐sensing receptor TDAG8 accelerates colorectal cancer progression in mice. Animals lacking TDAG8 expression had increased tumor growth, DNA damage, and recruitment of tumor‐associated immune cells, including macrophages, neutrophils, and monocytes.
Ermanno Malagola +11 more
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