Results 71 to 80 of about 59,224 (329)

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
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, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source

Ćirić-type generalized F-contractions with integral inclusion in super metric spaces

Results in Control and Optimization
This study aims to explore Ćirić-type generalized F-contractions, almost F-contractions, and the combination of these contractions in the framework of super metric spaces.
Kamaleldin Abodayeh, Syed Khayyam Shah, Muhammad Sarwar, Chanon Promsakon, Thanin Sitthiwirattham   +4 more
doaj   +1 more source

Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus

Fractal and Fractional, 2020
Mittag-Leffler functions and their variations are a popular topic of study at the present time, mostly due to their applications in fractional calculus and fractional differential equations.
Arran Fernandez, Iftikhar Husain
doaj   +1 more source

Estimation of generalized fractional integral operators with nonsingular function as a kernel

AIMS Mathematics, 2021
Bessel function has a significant role in fractional calculus having immense applications in physical and theoretical approach. Present work aims to introduce fractional integral operators in which generalized multi-index Bessel function as a kernel, and
Iqra Nayab, Shahid Mubeen, Rana Safdar Ali, Gauhar Rahman, Abdel-Haleem Abdel-Aty, Emad E. Mahmoud, Kottakkaran Sooppy Nisar   +6 more
doaj   +1 more source

A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations

, 2007
Fractional (or non-integer) differentiation is an important concept both from theoretical and applicational points of view. The study of problems of the calculus of variations with fractional derivatives is a rather recent subject, the main result being ...
Agrawal, Agrawal, Agrawal, Baleanu, Delfim F.M. Torres, Gastão S.F. Frederico, Gouveia, Hilfer, Jost, Kilbas, Klimek, Miller, Muslih, Riewe, Riewe, Samko, Torres, Torres, Torres   +18 more
core   +1 more source

Escape from TGF‐β‐induced senescence promotes aggressive hallmarks in epithelial hepatocellular carcinoma cells

Molecular Oncology, EarlyView.
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, Dilara Demirci, Sude Eris, Bengisu Dayanc, Ece Cakiroglu, Merve Basol, Merve Uysal, Gulcin Cakan‐Akdogan, Fang Liu, Mehmet Ozturk, Gökhan Karakülah, Serif Senturk   +11 more
wiley   +1 more source

Sturm-Liouville problem in multiplicative fractional calculus

AIMS Mathematics
Multiplicative calculus, or geometric calculus, is an alternative to classical calculus that relies on division and multiplication as opposed to addition and subtraction, which are the basic operations of classical calculus.
Tuba Gulsen, Sertac Goktas, Thabet Abdeljawad , Yusuf Gurefe   +3 more
doaj   +1 more source

Fractional Solutions of Bessel Equation with -Method

The Scientific World Journal, 2013
This paper deals with the design fractional solution of Bessel equation. We obtain explicit solutions of the equation with the help of fractional calculus techniques.
Erdal Bas, Resat Yilmazer, Etibar Panakhov   +2 more
doaj   +1 more source

Sets of Fractional Operators and Numerical Estimation of the Order of Convergence of a Family of Fractional Fixed-Point Methods

Fractal and Fractional, 2021
Considering the large number of fractional operators that exist, and since it does not seem that their number will stop increasing soon at the time of writing this paper, it is presented for the first time, as far as the authors know, a simple and ...
A. Torres-Hernandez, F. Brambila-Paz
doaj   +1 more source

Validity of the fractional Leibniz rule on a coarse-grained medium yields a modified fractional chain rule

, 2014
In this short communication, we show that the validity of the Leibniz rule for a fractional derivative on a coarse-grained medium brings about a modified chain rule, in agreement with alternative versions of fractional calculus. We compare our results to
Weberszpil, José
core   +1 more source