Results 61 to 70 of about 59,224 (329)

C9orf72 ALS‐causing mutations lead to mislocalization and aggregation of nucleoporin Nup107 into stress granules

FEBS Letters, EarlyView.
Mutations in the C9orf72 gene represent the most common genetic cause of amyotrophic lateral sclerosis (ALS), a fatal neurodegenerative disease. Using patient‐derived neurons and C. elegans models, we find that the nucleoporin Nup107 is dysregulated in C9orf72‐associated ALS. Conversely, reducing Nup107 levels mitigates disease‐related changes.
Saygın Bilican, Yara Nabawi, William Hongyu Zhang, Dunja Petrovic, Markus Wehrmann, Sara Muñoz‐García, Seda Koyuncu, David Vilchez   +7 more
wiley   +1 more source

Research on Application of Fractional Calculus Operator in Image Underlying Processing

Fractal and Fractional
Fractional calculus extends traditional, integer-based calculus to include non-integer orders, offering a powerful tool for a range of engineering applications, including image processing.
Guo Huang, Hong-ying Qin, Qingli Chen, Zhanzhan Shi, Shan Jiang, Chenying Huang   +5 more
doaj   +1 more source

Fractional Ito calculus

Transactions of the American Mathematical Society, Series B
We derive Itô–type change of variable formulas for smooth functionals of irregular paths with nonzero p p th variation along a sequence of partitions, where p ≥ 1 p \geq 1 is arbitrary, in terms of fractional derivative operators.
Cont, R, Jin, R
openaire   +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

On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel

Fractal and Fractional
Traditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
doaj   +1 more source

Fractional Curve Flows and Solitonic Hierarchies in Gravity and Geometric Mechanics

, 2011
Methods from the geometry of nonholonomic manifolds and Lagrange-Finsler spaces are applied in fractional calculus with Caputo derivatives and for elaborating models of fractional gravity and fractional Lagrange mechanics.
Dumitru Baleanu, Gorenflo R., Kilbas A. A., Sergiu I. Vacaru   +3 more
core   +1 more source

A fractional power approach to fractional calculus

Journal of Mathematical Analysis and Applications, 1990
AbstractA theory of fractional powers of operators on an arbitrary Fréchet space is discussed. As special cases, multivariable fractional integrals and derivatives defined on certain spaces of test functions and generalised functions are obtained. In particular, properties of the two-dimensional Riesz fractional integral are determined and used to ...
S.E Schiavone, Wilson Lamb
openaire   +2 more sources

Highly multiplexed digital PCR assay for simultaneous quantification of variant allele frequencies and copy number alterations of KRAS and GNAS in pancreatic cancer precursors

Molecular Oncology, EarlyView.
Combining melting curve analysis enhances the multiplexing capability of digital PCR. Here, we developed a 14‐plex assay to simultaneously measure single nucleotide mutations and amplifications of KRAS and GNAS, which are common driver genes in pancreatic cancer precursors. This assay accurately quantified variant allele frequencies in clinical samples
Junko Tanaka, Tatsuo Nakagawa, Yusuke Ono, Yoshio Kamura, Takeshi Ishida, Hidemasa Kawabata, Kenji Takahashi, Hiroki Sato, Andrew S. Liss, Yusuke Mizukami, Takahide Yokoi   +10 more
wiley   +1 more source

Analysis on nonlinear differential equation with a deviating argument via Faedo–Galerkin method

Results in Applied Mathematics
This article focuses on the impulsive fractional differential equation (FDE) of Sobolev type with a nonlocal condition. Existence and uniqueness of the approximations are determined via analytic semigroup and fixed point method.
M. Manjula, E. Thilakraj, P. Sawangtong, K. Kaliraj   +3 more
doaj   +1 more source

Abelian Groups of Fractional Operators

Computer Sciences & Mathematics Forum, 2022
Taking into count the large number of fractional operators that have been generated over the years, and considering that their number is unlikely to stop increasing at the time of writing this paper due to the recent boom of fractional calculus ...
Anthony Torres-Hernandez, Fernando Brambila-Paz, Rafael Ramirez-Melendez   +2 more
doaj   +1 more source