Results 61 to 70 of about 282,104 (259)

Dynamics of a continued fraction of Ramanujan with random coefficients

Abstract and Applied Analysis, 2005
We study a generalization of a continued fraction of Ramanujan with random, complex-valued coefficients. A study of the continued fraction is equivalent to an analysis of the convergence of certain stochastic difference equations and the stability of ...
Jonathan M. Borwein, D. Russell Luke
doaj   +1 more source

Exploiting metabolic adaptations to overcome dabrafenib treatment resistance in melanoma cells

Molecular Oncology, EarlyView.
We show that dabrafenib‐resistant melanoma cells undergo mitochondrial remodeling, leading to elevated respiration and ROS production balanced by stronger antioxidant defenses. This altered redox state promotes survival despite mitochondrial damage but renders resistant cells highly vulnerable to ROS‐inducing compounds such as PEITC, highlighting redox
Silvia Eller, Susanne Ebner, Carmen Haselrieder, Julia K. Günther, Astrid Drasche, Sophie Strich, Chiara Volani, Andrea Medici, Aleksandar Nikolajevic, Alex Deltedesco, Johannes E. Sigmund, Michael J. Blumer, Martin Hermann, Johanna Vanacker, Gerald Brandacher, Eduard Stefan, Omar Torres‐Quesada, Jakob Troppmair   +17 more
wiley   +1 more source

Monitoring of circulating tumor DNA allows early detection of disease relapse in patients with operable breast cancer

Molecular Oncology, EarlyView.
Monitoring circulating tumor DNA (ctDNA) in patients with operable breast cancer can reveal disease relapse earlier than radiology in a subset of patients. The failure to detect ctDNA in some patients with recurrent disease suggests that ctDNA could serve as a supplement to other monitoring approaches.
Kristin Løge Aanestad, Marie Austdal, Oddmund Nordgård, Gunnar Mellgren, Satu Oltedal, Marie L. Austbø, Ylva H. Vignes, Thomas Helland, Kristin Jonsdottir, Tone H. Lende, Emilius A. M. Janssen, Bjørnar Gilje, Kjersti Tjensvoll, PBCB study group, Gunnar Mellgren, Tone Hoel Lende, Anette Heie, Kristin Viste, Anita Røyneberg Alvheim, Emiel AM Janssen, Kristin Jonsdottir, Ann Cathrine Kroksveen, Thomas Helland, Einar Gudlaugsson, Oddmund Nordgård, Satu Oltedal, Kristin Løge Aanestad, Jan Terje Kvaløy, Kirsten Lode, Kari Britt Hagen, Marie Austdal, Ylva H. Vignes, Siri Tungland Sola, Nina Egeland Amundsen, Finn Magnus Eliassen, Emeritus Ernst A Lien   +35 more
wiley   +1 more source

On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form

Karpatsʹkì Matematičnì Publìkacìï, 2015
$(2,1,\dots,1)$-periodic branched continued fraction of the special form is defined. Conditions of convergence are established for 2-periodic continued fraction and $(2,1,\dots,1)$-periodic branched continued fraction of the special form.
D.I. Bodnar, M.M. Bubniak
doaj   +1 more source

Continued Fractions and Linear Fractional Transformations

, 2014
Rational approximations to a square root $\sqrt{k}$ can be produced by iterating the transformation $f(x) = (dx+k)/(x+d)$ starting from $\infty$ for any positive integer $d$. We show that these approximations coincide infinitely often with continued fraction convergents if and only if $4d^2/(k-d^2)$ is an integer, in which case the continued fraction ...
openaire   +3 more sources

Dammarenediol II enhances etoposide‐induced apoptosis by targeting O‐GlcNAc transferase and Akt/GSK3β/mTOR signaling in liver cancer

Molecular Oncology, EarlyView.
Etoposide induces DNA damage, activating p53‐dependent apoptosis via caspase‐3/7, which cleaves PARP1. Dammarenediol II enhances this apoptotic pathway by suppressing O‐GlcNAc transferase activity, further decreasing O‐GlcNAcylation. The reduction in O‐GlcNAc levels boosts p53‐driven apoptosis and influences the Akt/GSK3β/mTOR signaling pathway ...
Jaehoon Lee, Byung‐Cheol Han, Gi‐Bang Koo, Jihye Park, Mijin Kwon, Young Bin Park, Jae‐Mun Choi, Seung‐Ho Lee, Sangho Roh   +8 more
wiley   +1 more source

Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment

Molecular Oncology, EarlyView.
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley   +1 more source

Prime numbers in typical continued fraction expansions. [PDF]

Boll Unione Mat Ital (2008), 2023
Schindler TI, Zweimüller R.
europepmc   +1 more source

Basroparib inhibits YAP‐driven cancers by stabilizing angiomotin

Molecular Oncology, EarlyView.
Basroparib, a selective tankyrase inhibitor, suppresses Wnt signaling and attenuates YAP‐driven oncogenic programs by stabilizing angiomotin. It promotes AMOT–YAP complex formation, enforces cytoplasmic YAP sequestration, inhibits YAP/TEAD transcription, and sensitizes YAP‐active cancers, including KRAS‐mutant colorectal cancer, to MEK inhibition.
Young‐Ju Kwon, Dong Young Kim, Yuna Kim, Uk‐Il Kim, Jae‐Sung Kim   +4 more
wiley   +1 more source

On the metrical theory of a non-regular continued fraction expansion

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
We introduced a new continued fraction expansions in our previous paper. For these expansions, we show the Brodén-Borel-Lévy type formula. Furthermore, we compute the transition probability function from this and the symbolic dynamical system of the ...
Lascu Dan, Cîrlig George
doaj   +1 more source