Results 101 to 110 of about 87,253,677 (294)
AxiomsThis study introduces two novel methodologies for solving systems of Fredholm integral equations, with particular emphasis on second-kind equations. The first method integrates the Sinc-collocation technique with a newly developed singular exponential ...
Saeed Althubiti, Abdelaziz Mennouni
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On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods [PDF]
SIAM Journal on Scientific Computing, 1995 This paper is concerned with differential equations of the form \(\dot x = X = A + B\). The assumption that the vector fields \(A\) and \(B\) can be integrated exactly enables one to integrate \(X\) by composition of the flows \(A\) and \(B\). Various symmetric compositions are investigated for order, complexity, and reversibility.
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Molecular Oncology, EarlyView.Circulating microRNAs as biomarkers of cachexia and sex‐specific cancer in senior dogs. In 25 client‐owned dogs, four circulating miRNAs (miR‐15a, miR‐15b, miR‐16, miR‐140) were downregulated in cachexia, with miR‐16 the strongest individual biomarker (AUC = 0.899).
Soon‐Seok Park +6 more
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Stability analysis of fast numerical methods for Volterra Integral Equations [PDF]
, 2007 In this paper the stability properties of fast numerical methods for Volterra integral equations of Hammerstein type with respect to significant test equations are ...
D. Conte +6 more
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Molecular Oncology, EarlyView.Detecting circulating tumor cells (CTCs) in blood before surgery may help predict outcomes in patients with head and neck squamous cell carcinoma (HNSCC). Here, we show when combined with tumor size and lymph node involvement from routine imaging, CTC status identifies high‐risk patients with poorer survival—offering a simple, minimally invasive tool ...
Susanne Flach +9 more
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Molecular Oncology, EarlyView.LUNAR is a liver‐specific long noncoding RNA (lncRNA) that is highly expressed in normal liver but becomes epigenetically silenced in hepatocellular carcinoma through promoter hypermethylation. Loss of LUNAR is associated with NOTCH activation, epithelial–mesenchymal transition, and metastasis, whereas restoring LUNAR restrains metastatic progression ...
Se Ha Jang +9 more
wiley +1 more source
A Survey of Numerical Methods for Solving Nonlinear Integral Equations
Journal of Integral Equations and Applications, 1992 The author gives a survey of numerical methods for solving nonlinear integral equations of the second kind such as the following: \[ x(t)=y(t)+\int_ D K(t,s)f(s,x(s))ds,\quad t\in D. \] Projection methods (such as Nyström technique and iterated projection method) are described and convergence results are given.
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CEACAM1 participation in breast cancer progression
Molecular Oncology, EarlyView.In invasive breast cancer (BC), CEACAM1 shifts from an apical to a uniform membranous/cytoplasmic pattern, or is lost, as tumors dedifferentiate, inversely tracking the Ki‐67 proliferative index. In MCF‐7 cells, only CEACAM1‐4L suppresses proliferation, repressing cell cycle and growth factor genes.
Mykola Lyndin +3 more
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Molecular Oncology, EarlyView.This study identifies somatostatin receptor 4 (Sstr4) as a critical tumor suppressor against skin and head/neck cancers (HNSCC, cSCC, and BCC). The loss of Sstr4 removes a check on cell growth, causing hyperactivation of the MAPK‐ERK signaling pathway (↑).
Ali Taqvi +6 more
wiley +1 more source
Analysis and numerical solution of a non-standard non-linear integro-differential boundary value problem [PDF]
, 2011 The aim of this thesis is the analytical study and the development of a numerical method to solve a non-linear, integro-differential boundary value problem on the half line which is representative of a class of non-standard integral equations where the ...
Basile, Mariateresa
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