Results 31 to 40 of about 215,355 (212)

Asymptotic Behavior of Solutions to Half‐Linear q‐Difference Equations [PDF]

Abstract and Applied Analysis, 2010
We derive necessary and sufficient conditions for (some or all) positive solutions of the half‐linear q‐difference equation Dq(Φ(Dqy(t))) + p(t)Φ(y(qt)) = 0, t ∈ {qk : k ∈ ℕ0} with q > 1, Φ(u) = |u|α−1sgn u with α > 1, to behave like q‐regularly varying or q‐rapidly varying or q‐regularly bounded functions (that is, the ...
openaire   +4 more sources

A remark on power comparison theorem for half-linear differential equations [PDF]

Mathematica Bohemica, 2008
Summary: We consider a half-linear second order differential equation which can be viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation. We present a comparison theorem with respect to the power of the half-linearity in the equation under consideration.
Bognár, Gabriella, Došlý, Ondřej
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

Molecular 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, Stavros Makrodimitris, Sandra van Wilpe, Iris te Paske, Vanja de Weerd, Corine M. Beaufort, Hans M. Westgeest, Jens Voortman, Maureen J. B. Aarts, Maud Rijnders, Astrid A. M. van der Veldt, Ronald de Wit, Niven Mehra, Saskia M. Wilting, Debbie G. J. Robbrecht   +14 more
wiley   +1 more source

Oscillation of third-order half-linear neutral difference equations [PDF]

Mathematica Bohemica, 2013
The authors give oscillation criteria for the nonlinear neutral difference equations of the third order, \[ \Delta \big ( a_n\,(\Delta ^2(x_n\pm b_nx_{n-\delta }))\big )^{\alpha }+q_n\,x_{n+1-\tau }^{\alpha }=0. \] These criteria present sufficient conditions for the oscillation of every (nontrivial) solution, or the limit of the solution as \(n\to ...
Thandapani, E., Selvarangam, S.
openaire   +1 more source

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

Molecular 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, Wioleta Cieślik, Wojciech Płaziński, Katarzyna Stępnik, Anna Boguszewska‐Czubara, Elżbieta Kot, Robert Musioł, Mateusz Jasica, Anna Mrozek‐Wilczkiewicz, Katarzyna Malarz   +9 more
wiley   +1 more source

Oscillation and nonoscillation of second-order half-linear differential equations [PDF]

Journal of Mathematical Sciences, 2013
The paper considers the problem of oscillation and non-oscillation of the second order half-linear differential equation \[ ({|{u'(t)}|}^{\alpha-1}u'(t))'+p(t){|{u'(t)}|}^{\alpha-1}u(t)=0, \] where \(\alpha>0\) is a constant and \(p\in C([0,+\infty),[0,+\infty))\) is an integrable function.
Yong Zhou, Chen, X.W.
openaire   +3 more sources

Patient therapy outcome modeling in cancer organoids is improved by cancer‐associated fibroblasts and organoid assembly convolution

Molecular Oncology, EarlyView.
Patient‐derived organoids (PDOs) from pancreatic, colorectal, and gastric cancers were used to evaluate standard and experimental therapies. Incorporating cancer‐associated fibroblasts (CAFs) into organoid cultures improved patient therapy outcome prediction.
Marcin Grochowski, Liudmyla Dolinchuk, Michał Jerzak, Albert Gandurski, Tomasz Grochowski, Weronika Wojtyś, Maciej Zadrożny, Wojciech Kaźmierczak, Małgorzata Lenarcik, Marta Matejak‐Górska, Radosław Samsel, Tomasz Olesiński, Dawid Walerych   +12 more
wiley   +1 more source

PAK1 activation drives divergent resistance mechanisms to aromatase inhibition and tamoxifen in a luminal: A breast cancer model

Molecular Oncology, EarlyView.
Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller, Janina Müller, Efstathios‐Iason Vlachavas, Lukas Beumers, Lena Fleischhacker, Sara Burmester, Angelika Wörner, Sabine Karolus, Dominic Helm, Cindy Körner, Stefan Wiemann   +10 more
wiley   +1 more source

Forced oscillation of super-half-linear impulsive differential equations

Computers & Mathematics with Applications, 2007
The aim of this work is to establish new oscillation criteria for forced super-half-linear equations of the form \[ \begin{alignedat}{2} 2 (m(t)\varphi_\alpha(y'))'&+ q(t)\varphi_\beta(y)= f(t),&\quad t&\neq \theta_i,\\ \Delta(m(t)\varphi_\alpha(y'))&+ q_i\varphi_\beta(y)= f_i,&\quad t&= \theta_i,\;i\in\mathbb{N}, \end{alignedat} \] where \(\beta\geq ...
Abdullah Özbekler, Agacik Zafer
openaire   +2 more sources

Nuclear pore links Fob1‐dependent rDNA damage relocation to lifespan control

FEBS Open Bio, EarlyView.
Damaged rDNA accumulates at a specific perinuclear interface that couples nucleolar escape with nuclear envelope association. Nuclear pores at this site help inhibit Fob1‐induced rDNA instability. This spatial organization of damage handling supports a functional link between nuclear architecture, rDNA stability, and replicative lifespan in yeast.
Yamato Okada, Mina Iwaki, Kyosuke Hagiri, Rei Izumi, Masahiko Harata, Chihiro Horigome   +5 more
wiley   +1 more source