Results 71 to 80 of about 434,263 (264)
FEBS Letters, EarlyView.Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
wiley +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper, we investigate the order and the hyper-order of growth of solutions of the linear differential equation where n≥2 is an integer, Aj (z) (≢0) (j = 1,2) are entire functions with max {σ A(j) : (j = 1,2} < 1, Q (z) = qmzm + ... + q1z + q0 is
Belaïdi Benharrat, Habib Habib
doaj +1 more source
Nonexistence of radial entire solutions of elliptic systems
Journal of Differential Equations, 2003 The author considers the quasi-variational ordinary differential system \[ [\nabla G(u,u')]'- \nabla_u G(u,u')+ Q(t, u,u')= f(t,u) \] on \(J= (T,\infty)\), \(T\geq 0\), where \(\nabla= \nabla_u\) denotes the gradient operator with respect to the second variable of the function \(G\).
openaire +3 more sources
Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
Entire solutions for a nonlinear differential equation
Electronic Journal of Differential Equations, 2011 In this article, we study the existence of solutions to the differential equation $$ f^n(z)+P(f)= P_1e^{h_1}+ P_2e^{h_2}, $$ where $ngeq 2$ is an positive integer, f is a transcendental entire function, $P(f)$ is a differential polynomial in f of ...
Jianming Qi, Jie Ding, Taiying Zhu
doaj
Existence of entire radial solutions to a class of quasilinear elliptic equations and systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, by a monotone iterative method and the Arzèla-Ascoli theorem, we obtain the existence of entire positive radial solutions to the following quasilinear elliptic equations \[\operatorname{div}(\phi_1(|\nabla u|) \nabla u)+a_1(|x|) \phi_1 ...
Song Zhou
doaj +1 more source
Symmetry of Entire Solutions to the Allen-Cahn Equation
Advanced Nonlinear Studies, 2015 Abstract In this paper, we shall prove even symmetry of monotone entire solutions to the balanced Allen-Cahn equation with one spatial variable. Related results for the unbalanced Allen- Cahn equation are also discussed.
Gui, Changfeng, Zhang, Fang
openaire +1 more source
FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
Almost entire solutions of the Burgers equation
Electronic Journal of Differential Equations, 2018 We consider Burgers equation on the whole x-t plane. We require the solution to be classical everywhere, except possibly over a closed set S of potential singularities, which is (a) a subset of a countable union of ordered graphs of differentiable
Nicholas D. Alikakos, Dimitrios Gazoulis
doaj
The Keller–Osserman-type conditions for the study of a semilinear elliptic system
Boundary Value Problems, 2019 We study the following system of equations: 0.1 {Δu1=p1(|x|)f1(u1,u2)in RN,Δu2=p2(|x|)f2(u1,u2)in RN. $$ \textstyle\begin{cases} \Delta u_{1}=p_{1} ( \vert x \vert ) f_{1} ( u_{1},u_{2} ) &\text{in }\mathbb{R}^{N}, \\ \Delta u_{2}=p_{2} ( \vert x \vert )
Dragos-Patru Covei
doaj +1 more source