Results 131 to 140 of about 621,794 (386)

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

Fractional Calculus of Variations: a novel way to look at it [PDF]

arXiv, 2018
In this work we look at the original fractional calculus of variations problem in a somewhat different way. As a simple consequence, we show that a fractional generalization of a classical problem has a solution without any restrictions on the derivative-order $\alpha$.
arxiv  

Semilocal convergence of Newton-like methods under general conditions with applications in fractional calculus

Journal of Numerical Analysis and Approximation Theory, 2015
We present a semilocal convergence study of Newton-like methods on a generalized Banach space setting to approximate a locally unique zero of an operator.
George A. Anastassiou, Ioannis K. Argyros   +1 more
doaj   +2 more sources

Cell‐free DNA aneuploidy score as a dynamic early response marker in prostate cancer

Molecular Oncology, EarlyView.
mFast‐SeqS‐based genome‐wide aneuploidy scores are concordant with aneuploidy scores obtained by whole genome sequencing from tumor tissue and can predict response to ARSI treatment at baseline and, at an early time point, to ARSI and taxanes. This assay can be easily performed at low cost and requires little input of cfDNA. Cell‐free circulating tumor
Khrystany T. Isebia, Anouk C. de Jong, Lisanne F. van Dessel, Vanja de Weerd, Corine Beaufort, Jean Helmijr, José Alberto Nakauma‐González, Job van Riet, Paul Hamberg, Daniel Vis, Michiel S. van der Heijden, Nick Beije, Martijn P. Lolkema, Teoman Deger, Saskia M. Wilting, Ronald de Wit, Maurice P. H. M. Jansen, John W. M. Martens   +17 more
wiley   +1 more source

Insight into the Fractional Calculus via a Spreadsheet

Spreadsheets in Education, 2009
Many students of calculus are not aware that the calculus they have learned is a special case (integer order) of fractional calculus. Fractional calculus is the study of arbitrary order derivatives and integrals and their applications. The article begins
David A Miller, Stephen J Sugden
doaj   +2 more sources

Integration of single‐cell and bulk RNA‐sequencing data reveals the prognostic potential of epithelial gene markers for prostate cancer

Molecular Oncology, EarlyView.
Prostate cancer is a leading malignancy with significant clinical heterogeneity in men. An 11‐gene signature derived from dysregulated epithelial cell markers effectively predicted biochemical recurrence‐free survival in patients who underwent radical surgery or radiotherapy.
Zhuofan Mou, Lorna W. Harries
wiley   +1 more source

An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method

Partial Differential Equations in Applied Mathematics
The dynamics of viscous fluids may be elucidated via the Navier–Stokes equations, which create a fundamental relationship between the exertion of external forces upon fluid motion and the resultant fluid pressure.
P. Dunnimit, W. Sawangtong, P. Sawangtong   +2 more
doaj  

On fractional Bullen-type inequalities with applications

AIMS Mathematics
Integral inequalities in mathematical interpretations are a substantial and ongoing body of research. Because fractional calculus techniques are widely used in science, a lot of research has recently been done on them.
Sobia Rafeeq, Sabir Hussain, Jongsuk Ro
doaj   +1 more source

On fractional calculus with analytic kernels with respect to functions [PDF]

arXiv, 2020
Many different types of fractional calculus have been proposed, which can be organised into some general classes of operators. For a unified mathematical theory, results should be proved in the most general possible setting. Two important classes of fractional-calculus operators are the fractional integrals and derivatives with respect to functions ...
arxiv  

A review on epidemic models in sight of fractional calculus

Alexandria Engineering Journal, 2023
K. Nisar, M. Farman, M. Abdel-Aty, Jinde Cao   +3 more
semanticscholar   +1 more source