Results 81 to 90 of about 60,684 (330)

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

open access: yesMolecular 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   +20 more
wiley   +1 more source

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

open access: yes, 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

On calculus of local fractional derivatives

open access: yesJournal of Mathematical Analysis and Applications, 2002
\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]

open access: yes, 2011
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

Multi‐omic characterization of consensus molecular subtype 1 (CMS1) colorectal cancer with dampened immune response improves precision medicine

open access: yesMolecular Oncology, EarlyView.
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

open access: yes, 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   +18 more
core   +1 more source

Chemoresistome mapping in individual breast cancer patients unravels diversity in dynamic transcriptional adaptation

open access: yesMolecular Oncology, EarlyView.
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]

open access: yes, 2012
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

open access: yes, 2013
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 anticancer effect of the HDAC inhibitor belinostat is enhanced by inhibitors of Bcl‐xL or Mcl‐1 in ovarian cancer

open access: yesMolecular Oncology, EarlyView.
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

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