Results 101 to 110 of about 1,362,923 (320)
The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation
Due to the importance of the nonlinear partial differential equations in applied physics and engineering, many mathematicians and physicists are interesting to the nonlinear partial differential equations.
Jianping Li, Can Xu, Junliang Lu
doaj
Integrating ancestry, differential methylation analysis, and machine learning, we identified robust epigenetic signature genes (ESGs) and Core‐ESGs in Black and White women with endometrial cancer. Core‐ESGs (namely APOBEC1 and PLEKHG5) methylation levels were significantly associated with survival, with tumors from high African ancestry (THA) showing ...
Huma Asif, J. Julie Kim
wiley +1 more source
An extension of A-stability to alternating direction implicit methods [PDF]
An alternating direction implicit (ADI) scheme was constructed by the method of approximate factorization. An A-stable linear multistep method (LMM) was used to integrate a model two-dimensional hyperbolic-parabolic partial differential equation ...
Beam, R. M., Warming, R. F.
core +1 more source
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes+20 more
wiley +1 more source
Green's function of a centered partial difference equation
Applying a variation of Jacobi iteration we obtain the Green's function for the centered partial difference equation $$\Delta_{ww} u(x_{w-1},y_z) + \Delta_{zz} u(x_w,y_{z-1}) + f(u(x_w,y_z))=0,$$ which is the result of applying the finite difference ...
Richard Avery, Douglas Anderson
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Loss of the frequently mutated chromatin remodeler ARID1A, a subunit of the SWI/SNF cBAF complex, results in less open chromatin, alternative splicing, and the failure to stop cells from progressing through the cell cycle after DNA damage in bladder (cancer) cells. Created in BioRender. Epigenetic regulators, such as the SWI/SNF complex, with important
Rebecca M. Schlösser+11 more
wiley +1 more source
A short overview of solitons and applications
Solitons are solitary waves that maintain their shape and speed while propagating with constant velocity. They are ubiquitous in nature and have many applications in nonlinear dynamics. In this project, we give a brief historical overview of solitons. We
Solomon Manukure, Timesha Booker
doaj
On properties of solutions of boundary problems of a parabolic partial differential equations [PDF]
Rudolf Výborný
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Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu+11 more
wiley +1 more source
Convergence rates of iterative treatments of partial differential equations [PDF]
Stanley P. Frankel
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