Results 51 to 60 of about 4,507,842 (291)
Well-posedness and maximum principles for lattice reaction-diffusion equations
Advances in Nonlinear Analysis, 2017 Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín +2 more
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The multifaceted roles of lysosomes in cancer
Molecular Oncology, EarlyView.Lysosomes support cancer cell adaptation by integrating macromolecule degradation and nutrient recycling with nutrient sensing, inter‐organelle communication and immune regulation. These interconnected functions can promote tumour growth, stress tolerance and therapy resistance, while also creating context‐dependent vulnerabilities that may be ...
Jia Li, Kevin M. Ryan
wiley +1 more source
Some maximum principles in semilinear elliptic equations
, 1986 We develop maximum principles for functions defined on the solutions to a class of semilinear, second order, uniformly elliptic partial differential equations. These principles are related to recent theorems of Protter and Protter and Weinberger and to a
Philip W. Schaefer
core +1 more source
Existence and localization of solutions for fourth-order boundary-value problems
Electronic Journal of Differential Equations, 2007 In this paper, we study the existence of solutions for the differential equation $$ u^{(4)}(t)=fig(t,u(t),u''(t)ig), $$ where $f$ satisfies one-sided Lipschitz conditions with respect to $u$ and $u''$, with periodic conditions or boundary conditions from
Luis Sanchez, Ricardo Enguica
doaj
The impact of leukocyte‐associated RNA retention on platelet RNA‐based cancer detection
Molecular Oncology, EarlyView.Platelets carry RNA signals that may help detect cancer, but platelet samples can also retain RNA from white blood cells. We found that this retained white blood cell signal did not significantly affect machine learning cancer classification, suggesting that the cancer‐related RNA signal in platelets is largely independent of leukocyte‐associated RNA ...
Michał Sieczczyński +12 more
wiley +1 more source
Optimal Conditions for Maximum and Antimaximum Principles of the Periodic Solution Problem
Boundary Value Problems, 2010 Given a periodic, integrable potential q(t), we will study conditions on q(t) so that the operator Lqx=x″+qx admits the maximum principle or the antimaximum principle with respect to the periodic boundary condition.
Meirong Zhang
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Molecular Oncology, EarlyView.Enterotoxigenic Bacteroides fragilis is a gut bacterium linked to bowel cancer. We propose that its toxin acts along two routes: at the cell surface, cutting the adhesion protein E‐cadherin and triggering inflammation; and inside the cell, delivered by bacterial vesicles, switching on NOD1 and cancer stem cell programs.
Kangchan Choi +2 more
wiley +1 more source
The maximum principle for equations with composite coefficients
Electronic Journal of Differential Equations, 2000 It is well-known that the maximum of the solution of a linear elliptic equation can be estimated in terms of the boundary data provided the coefficient of the gradient term is either integrable to an appropriate power or blows up like a small negative ...
Gary M. Lieberman
doaj
FEBS Open Bio, EarlyView.UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová +2 more
wiley +1 more source
Evolution of non-stationary processes and some maximum entropy principles
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 This paper studies, by using the speed-gradient principle, the evolution of non-stationary processes in the context of maximization of Varma, weighted Rényi, weighted Varma and Rényi-Tsallis of order α entropies.
Preda Vasile, Băncescu Irina
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