Results 111 to 120 of about 1,177,365 (300)

The Extended Trial Equation Method for Some Time Fractional Differential Equations

Discrete Dynamics in Nature and Society, 2013
Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir, Yusuf Gurefe, Emine Misirli   +2 more
doaj   +1 more source

Solving of partial differential equations under minimal conditions [PDF]

arXiv, 2015
It is proved that a differentiable with respect to each variable function $f:\mathbb R^2\to\mathbb R$ is a solution of the equation $ \frac{\partial u}{\partial x} + \frac{\partial u}{\partial y}=0$ if and only if there exists a function $\varphi:\mathbb R\to\mathbb R$ such that $f(x,y)=\varphi(x-y)$.
arxiv  

Targeted metabolomics reveals novel diagnostic biomarkers for colorectal cancer

Molecular Oncology, EarlyView.
This study employed targeted metabolomic profiling to identify 302 distinct metabolites present in platelet‐rich plasma (PRP), revealing aberrant metabolic profiles amongst individuals diagnosed with colorectal cancer (CRC). Compared to carcinoembryonic antigen (CEA) and cancer antigen 19‐9 (CA199), our metabolite panel showed improved sensitivity ...
Zuojian Hu, Fenglin Shen, Yang Liu, Ziqing Zhong, Yongling Chen, Zhiyuan Xia, Cuiju Mo, Hongxiu Yu   +7 more
wiley   +1 more source

Effect of different noise reduction techniques and template matching parameters on markerless tumor tracking using dual‐energy imaging

Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022
Abstract Purpose To evaluate the impact of various noise reduction algorithms and template matching parameters on the accuracy of markerless tumor tracking (MTT) using dual‐energy (DE) imaging. Methods A Varian TrueBeam linear accelerator was used to acquire a series of alternating 60 and 120 kVp images (over a 180° arc) using fast kV switching, on ...
Mandeep Kaur, Peter Wagstaff, Hassan Mostafavi, Mathias Lehmann, Daniel Morf, Liangjia Zhu, Hyejoo Kang, Michal Walczak, Matthew M. Harkenrider, John C. Roeske   +9 more
wiley   +1 more source

The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation

Results in Physics
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  

Nonlinear Partial Differential Equations of Elliptic Type [PDF]

arXiv, 2005
Course Notes on Nonlinear Partial Differential Equations of Elliptic Type given to Master students at the University of Craiova, Romania.
arxiv  

Existence and Uniqueness of a Fractional Fokker-Planck Equation [PDF]

arXiv, 2020
Stochastic differential equations with Levy motion arise the mathematical models for various phenomenon in geophysical and biochemical sciences. The Fokker Planck equation for such a stochastic differential equations is a nonlocal partial differential equations. We prove the existence and uniqueness of the weak solution for this equation.
arxiv  

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

KMT2A degradation is observed in decitabine‐responsive acute lymphoblastic leukemia cells

Molecular Oncology, EarlyView.
We demonstrate that decitabine (DEC) not only degrades the DNA methyltransferase DNMT1 but also the leukemic driver lysine methyltransferase KMT2A likely due to structural similarity of the DNA‐binding CXXC domains. DEC influences KMT2A downstream processes and synergizes with menin inhibitor revumenib (REV) to decrease leukemic cell proliferation, and
Luisa Brock, Lina Benzien, Sandra Lange, Maja Huehns, Alexandra Runge, Catrin Roolf, Anett Sekora, Gudrun Knuebel, Hugo Murua Escobar, Christian Junghanss, Anna Richter   +10 more
wiley   +1 more source

Evaluation of an EPID in vivo monitoring system using local and external independent audit measurements

Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022
Abstract Purpose The aim of this work was to evaluate the SunCHECK PerFRACTION, the software for in vivo monitoring using EPID images. Materials/Methods First, the PerFRACTION ability to detect errors was investigated simulating two situations: (1) variation of LINAC output and (2) variation of the phantom thickness.
Samuel Ramalho Avelino, Juliana Rosada Dias, Taís Marques Peron, Gabriel Souza Vidal   +3 more
wiley   +1 more source