Results 71 to 80 of about 3,579 (260)

On Tribonacci numbers written as a product of three Fibonacci numbers

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The present paper examines the following Diophantine equation: Tn = Fk · Fl · Fm where Tn is the n-th Tribonacci number and likewise Fk is the k-th Fibonacci number and so on as variables.
Ozkaya Zeynep Demirkol
doaj   +1 more source

Flow Enabled Target Capture Halbach‐based magnetic enrichment increases circulating tumor cell capture from blood in metastatic cancer patients

open access: yesMolecular Oncology, EarlyView.
Pair‐wise comparison of the CellSearch and FETCH enrichment technologies for circulating tumor cells (CTCs) from metastatic breast, prostate, and small cell lung cancer patients shows an increased capture of CTCs using FETCH enrichment. The clinical implementation of circulating tumor cells (CTCs) as a predictive tool for therapy efficacy in the ...
Michiel Stevens   +6 more
wiley   +1 more source

On Algebraic Numbers of Small Height: Linear Forms in One Logarithm

open access: yesJournal of Number Theory, 1994
The authors establish a lower bound for \(|\alpha -1|\) where \(\alpha\) is a complex algebraic number \(\neq 1\). This lower bound is completely explicit in terms of the degree \(D\) of \(\alpha\) and its Mahler measure \(M(\alpha)\). Given any number \(\mu>0\) with \(\mu\geq \log M(\alpha)\), the authors prove \[ |\alpha -1|\geq \exp \Bigl\{- \bigl( \
Mignotte, M., Waldschmidt, M.
openaire   +2 more sources

Longitudinal genome‐wide aneuploidy measurements in circulating cell‐free DNA to predict lack of benefit from pembrolizumab in patients with metastatic urothelial cancer

open access: yesMolecular Oncology, EarlyView.
Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi   +14 more
wiley   +1 more source

A note on the extension of some triangular Diophantine sets

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let n be an integer. We call a set of m distinct positive integers a triangular D(n)-m-tuple if the product of its two distinct elements increased by n is the triangular number. In this paper, we consider the extension of the triangular D(k)-pair {k, 2k},
Filipin Alan, Jurasić Ana, Togbé Alain
doaj   +1 more source

A novel quinazolinone insulin receptor inhibitor and its synergy with an EGFR inhibitor in glucose‐driven glioblastoma

open access: yesMolecular Oncology, EarlyView.
The novel styrylquinazolinone‐based molecule W1B effectively suppresses glioblastoma by inhibiting IGF1R and EGFR. In high‐glucose microenvironments driving tumor resistance, W1B acts synergistically with the EGFR inhibitor dacomitinib. This combination safely blocks compensatory survival signaling in zebrafish xenograft models. Showcasing promising in
Patryk Rurka   +9 more
wiley   +1 more source

Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma

open access: yesMolecular Oncology, EarlyView.
Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski   +10 more
wiley   +1 more source

Inhibition of cyclin‐dependent kinases 12/13 using CT7439 as a treatment for colorectal cancer with CDK12 upregulation

open access: yesMolecular Oncology, EarlyView.
The proposed mechanism of action for the CDK12/13 inhibitor and cyclin K degrader, CT7439. CDK12/13 inhibition interrupts transcription elongation, leading to increased DNA damage that results in cell death. This agent is a potentially novel treatment option for patients with colorectal cancer. Created in BioRender. Cyclin‐dependent kinase (CDK) 12 and
Wylie K. Watlington   +10 more
wiley   +1 more source

S-parts of values of univariate polynomials, binary forms and decomposable forms at integral points [PDF]

open access: yes, 2017
Let $S$ be a finite set of primes. The $S$-part $[m]_S$ of a non-zero integer $m$ is the largest positive divisor of $m$ that is composed of primes from $S$.
Bugeaud, Yann   +2 more
core   +2 more sources

In vitro and in silico modelling of ROS1‐positive non‐small cell lung cancer reveals fusion‐dependent tyrosine kinase inhibitor responses

open access: yesMolecular Oncology, EarlyView.
Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq   +8 more
wiley   +1 more source

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