162,202 research outputs found
Universality of a mesenchymal transition signature in invasive solid cancers
No full textIn this brief communication, additional computational validation is provided consistent with the unifying hypothesis that a shared biological mechanism of mesenchymal transition, reflected by a precise gene expression signature, may be present in all types of solid cancers when they reach a particular stage of invasiveness
A subset of co-expressed genes in Slug-based cancer mesenchymal transition signature remains coexpressed in normal samples in a tissue-specific manner
No full textA recently identified gene expression signature of EMT markers containing the transcription factor Slug was found present in samples from many publicly available cancer gene expression datasets of multiple cancer types except leukemia. We also found many of these genes co-expressed in human cancer xenografted cells, but not in mouse stroma cells, suggesting that the signature is largely produced by cancer cells undergoing some type of EMT. Here we report that a partial signature consisting of a subset of the co-expressed genes of the full signature, including at least Slug (SNAI2), collagens COL1A1, COL1A2, COL3A1, COL6A3 and genes DCN and LUM, is also present in leukemia, in which case it is also strongly associated with the chemokine CXCL12 (aka SDF1). The same subset of co-expressed genes is also strongly present even in normal samples in a tissue-specific manner, with lowest expression in brain tissues and highest expression in reproductive system tissues. The full signature, with prominent presence of COL11A1, THBS2 and INHBA appears to be triggered in solid cancers particularly when cancer cells encounter adipocytes
On a discrete Korovkin theorem
No full textAbstractIn [G. A. Anastassiou, A discrete Korovkin theorem, J. Approx. Theory 45 (1985), pp. 383–388, Theorem 3], a discrete Korovkin theorem was given. We restate the theorem here and its proof, correcting a mistake in the above reference
Quantitative Self Adjoint Operator Other Direct Approximations
No full textHere we give a series of self adjoint operator positive linear operators general results. Then we present specific similar results related to neural networks. This is a quantitative treatment to determine the degree of self adjoint operator uniform approximation with rates, of sequences of self adjoint positive linear operators in general, and in particular of self adjoint specific neural network operators. The approach is direct relying on Gelfand’s isometry. It follows [4] (Anastassiou, J. Nonlinear Sci. Appl. (2016))
Approximation by Positive Sublinear Operators
No full textHere we study the approximation of functions by positive sublinear operators under differentiability. We produce general Jackson type inequalities under initial conditions. We apply these to a series of well-known Max-product operators. So our approach is quantitative by producing inequalities with their right hand sides involving the modulus of continuity of a high order derivative of the function under approximation. It follows Anastassiou, Coroianu, Gal (J. Comput. Anal. Appl. 12(2):396–406, 2010, [3])
[Report to Chief J. E. Curry, by an unknown author #1]
No full textReport to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney
[Report to Chief J. E. Curry, by an unknown author #2]
No full textReport to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney
Murder on the mountain: author talk with Peter J. Wosh
No full textAuthor talk by Peter J. Wosh on May 5th, 2022, on his book, "Murder on the Mountain: crime, passion, and punishment in gilded age New Jersey.
General Weighted Opial Inequalities for Linear Differential Operators
No full textAbstractA complete set of Lr (r≠0) form very general Opial type weighted inequalities is given for a general linear differential operator L. These involve its related initial value problem solution y, Ly, the associated Green's function H, and initial conditions point x0∈R. This work is inspired by work of R. P. Agarwal and P. Y. H. Pang (1995, “Opial Inequalities with Applications in Differential and Difference Equations,” Kluwer Academic, Dordrecht) and G. A. Anastassiou (1998, Math. Inequalities Appl.1, No. 2, 193–200) and generalizes their related results. An application to proving uniqueness in solutions of initial value problems is given at the end
Mr. Melvin J. Collier, RWWL AUC, June 2011
No full textThis video is a conversation with Mr. Melvin J. Collier. Mr. Collier talks about his book, "From Mississippi to Africa: A Journey of Discovery". Daniel Le, AUC Woodruff Library, is the interviewer
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