Results 81 to 90 of about 60,684 (330)
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
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
On calculus of local fractional derivatives
\textit{K. M. Kolwankar} and \textit{A. D. Gangal} [``Fractional differentiability of nowhere differentiable functions and dimensions'', Chaos 6, No.~4, 505-513 (1996; Zbl 1055.26504)] introduced a certain ``localization'' \(d^\alpha f(x)\) of the Riemann-Liouville fractional derivative to study the local behaviour of nowhere differentiable functions ...
Azizollah Babakhani +1 more
openaire +2 more sources
Application of Fractional Calculus in Engineering [PDF]
Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades. It has been recognized the advantageous use of this mathematical tool in the modelling and control of many dynamical systems.
Machado, J. A. Tenreiro +4 more
openaire +4 more sources
This study highlights the importance of multi‐omic analyses in characterizing colorectal cancers. Indeed, our analysis revealed a rare CMS1 exhibiting dampened immune activation, including reduced PD‐1 expression, moderate CD8+ T‐cell infiltration, and suppressed JAK/STAT pathway.
Livia Concetti +10 more
wiley +1 more source
A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations
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 +18 more
core +1 more source
This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani +14 more
wiley +1 more source
Basics of Qualitative Theory of Linear Fractional Difference Equations [PDF]
Tato doktorská práce se zabývá zlomkovým kalkulem na diskrétních množinách, přesněji v rámci takzvaného (q,h)-kalkulu a jeho speciálního případu h-kalkulu.
Kisela, Tomáš
core
Optimal random search, fractional dynamics and fractional calculus
What is the most efficient search strategy for the random located target sites subject to the physical and biological constraints? Previous results suggested the L\'evy flight is the best option to characterize this optimal problem, however, which ...
Chen, YangQuan, Zeng, Caibin
core +1 more source
The pan‐HDAC inhibitor belinostat increases the expression of the pro‐apoptotic proteins Bim, Puma, and Noxa and induces apoptosis in ovarian cancer cell lines and patient‐derived tumor organoids when used at high concentrations. Moreover, inhibiting the anti‐apoptotic proteins Bcl‐xL or Mcl‐1 sensitizes these preclinical models to the cytotoxic effect
Cécilia Thomine +10 more
wiley +1 more source

