Results 71 to 80 of about 317,930 (233)
Method of upper and lower solutions for fractional differential equations
Electronic Journal of Differential Equations, 2012 In this paper, we show the existence and uniqueness of solutions for the boundary-value problems of fractional differential equations, using the upper and lower solutions method and monotone iterative algorithm.
Legang Lin, Xiping Liu, Haiqin Fang
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Molecular Oncology, EarlyView.BCL9 and BCL9L drive bladder cancer progression by enhancing β‐catenin signaling, promoting proliferation, migration, invasion, and organoid growth. Genetic depletion of BCL9(L) suppresses malignant phenotypes, while pharmacological disruption of the β‐catenin/BCL9(L) complex with ZW4864 inhibits canonical Wnt signaling and tumor‐associated cellular ...
Roland Kotolloshi +11 more
wiley +1 more source
Astrocyte heterogeneity in brain metastases
Molecular Oncology, EarlyView.Astrocytes emerge as pivotal regulators of metastatic colonization, survival, immune remodeling, and therapy response associated with an increasing heterogeneity that requires spatially and longitudinally resolved approaches to uncover regulatory programs and guide context‐specific therapies.
Carolina Hernández‐Oliver +2 more
wiley +1 more source
Existence of three solutions for a higher-order boundary-value problem
Electronic Journal of Differential Equations, 2009 We consider a higher-order multi-point boundary-value problem with a nonlinear boundary condition. Sufficient conditions are obtained for the existence of three solutions.
John R. Graef, Lingju Kong, Qingkai Kong
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Molecular Oncology, EarlyView.Detecting circulating tumor cells (CTCs) in blood before surgery may help predict outcomes in patients with head and neck squamous cell carcinoma (HNSCC). Here, we show when combined with tumor size and lymph node involvement from routine imaging, CTC status identifies high‐risk patients with poorer survival—offering a simple, minimally invasive tool ...
Susanne Flach +9 more
wiley +1 more source
Upper and lower solutions for a second-order three-point singular boundary-value problem
Electronic Journal of Differential Equations, 2009 We study the singular boundary-value problem $$displaylines{ u''+ q(t)g(t,u)=0,quad t in (0,1),; eta in (0,1),;gamma >0cr u(0)=0, quad u(1)=gamma u(eta),.
Qiumei Zhang +3 more
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Molecular Oncology, EarlyView.LUNAR is a liver‐specific long noncoding RNA (lncRNA) that is highly expressed in normal liver but becomes epigenetically silenced in hepatocellular carcinoma through promoter hypermethylation. Loss of LUNAR is associated with NOTCH activation, epithelial–mesenchymal transition, and metastasis, whereas restoring LUNAR restrains metastatic progression ...
Se Ha Jang +9 more
wiley +1 more source
Bounded solutions: Differential vs difference equations
Electronic Journal of Differential Equations, 2009 We compare some recent results on bounded solutions (over $Z$) of nonlinear difference equations and systems to corresponding ones for nonlinear differential equations.
Jean Mawhin
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Translating whole‐genome doubling into precision medicine in cancer
Molecular Oncology, EarlyView.Whole‐genome doubling creates a WGD‐positive tumor state characterized by persistent chromosomal instability, karyotypic diversification, and cellular stress. These same biological pressures drive aggressive tumor evolution while exposing therapeutic vulnerabilities, providing a rationale for WGD‐informed precision medicine. Whole‐genome doubling (WGD)
Sejung Lee, Junghyeok Lim, Jinhyuk Bhin
wiley +1 more source
Positive solutions for a class of quasilinear singular equations
Electronic Journal of Differential Equations, 2004 This article concerns the existence and uniqueness of solutions to the quasilinear equation $$ -Delta_p u= ho(x) f(u) quad hbox{in } mathbb{R}^N $$ with $u > 0$ and $u(x)o 0$ as $|x| o infty$.
Jose Valdo Goncalves +1 more
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