Results 141 to 150 of about 13,879,944 (380)
A remark on solutions of the equation $\sum\limits_{i=1}^k r_i=n$ in positive integers [PDF]
, 1958 Ladislav Kosmák
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Molecular Oncology, EarlyView.The LEXOVE prospective study evaluated plasma cell‐free extracellular vesicle (cfEV) dynamics using Bradford assay and dynamic light scattering in metastatic non‐small cell lung cancer patients undergoing first‐line treatments, correlating a ∆cfEV < 20% with improved median progression‐free survival in responders versus non‐responders.
Valerio Gristina +17 more
wiley +1 more source
On Delaunay solutions of a biharmonic elliptic equation with critical exponent [PDF]
arXiv, 2017 We are interested in the qualitative properties of positive entire solutions $u \in C^4 (\mathbb{R}^n \backslash \{0\})$ of the equation \begin{equation} \label{0.0} \Delta^2 u=u^{\frac{n+4}{n-4}} \;\;\mbox{in $\mathbb{R}^n \backslash \{0\}$ and 0 is a non-removable singularity of $u(x)$}. \end{equation} It is known from [Theorem 4.2] that any positive
arxiv
On a property of positive integer solution of equation $\sum_{i=1}^k r_i=n$ [PDF]
, 1957 Karel Čulík
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Molecular Oncology, EarlyView.We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić +31 more
wiley +1 more source
Positive solutions for elliptic equations with singular nonlinearity
Electronic Journal of Differential Equations, 2005 We study an elliptic boundary-value problem with singular nonlinearity via the method of monotone iteration scheme: $$displaylines{ -Delta u(x)=f(x,u(x)),quad x in Omega,cr u(x)=phi(x),quad x in partial Omega , }$$ where $Delta$ is the Laplacian ...
Junping Shi, Miaoxin Yao
doaj
Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions [PDF]
arXiv, 2016 Assuming $B_{R}$ is a ball in $\mathbb R^{N}$, we analyze the positive solutions of the problem \[ \begin{cases} -\Delta u+u= |u|^{p-2}u, &\text{ in } B_{R},\newline \partial_{\nu}u=0,&\text{ on } \partial B_{R}, \end{cases} \] that branch out from the constant solution $u=1$ as $p$ grows from $2$ to $+\infty$.
arxiv
Positive solutions of elliptic equations [PDF]
Pacific Journal of Mathematics, 1978 Moss, William F., Piepenbrink, John
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Molecular Oncology, EarlyView.Adaptive ERK reactivation hinders FLT3 tyrosine kinase inhibitor (TKI) treatment in FLT3/ITD acute myeloid leukemia. Here, we report that FLT3 TKI treatment rapidly induces AXL expression and upregulation that is temporally associated with the adaptive ERK reactivation.
Tessa S. Seale +9 more
wiley +1 more source
Journal of Numerical Analysis and Approximation Theory, 2002 We consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion precesses. When the reaction term has a particular form, \(f(u)=u^{3}\), the problem has a unique positive solution that satisfies a conserved ...
Călin-Ioan Gheorghiu, Damian Trif
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