Results 51 to 60 of about 79,942 (257)
A class of Neutral Functional Differential Equations
Formulation and study of the initial value problem for neutral functional differential equations. The existence, uniqueness, and continuation of solutions to this problem are investigated, and an analysis is made of the dependence of the solutions on the initial conditions and parameters, resulting in the derivation of a continuous dependence theorem ...
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Oscillation of Impulsive Neutral Delay Differential Equations
Here, effective sufficient conditions for the oscillation of all solutions to an impulsive neutral delay differential equation are established. The authors reveal the fact that the oscillatory properties of all solutions to the impulsive equation may be caused by the impulsive perturbations.
Graef, J. R. +2 more
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Incomplete microwave ablation (iMWA) of liver cancer triggers a biphasic progression in residual tumors. At Day 3, the microenvironment is characterized by acute inflammatory responses and extracellular matrix (ECM) remodeling. By Day 14, a profound shift occurs toward oncogenic signal transduction and immunosuppression, marked by macrophage ...
Yu Liu +9 more
wiley +1 more source
On the behavior of the solutions for certain neutral delay integro-differential equations [PDF]
Some results are given on the behavior of solutions of scalar linear and constant coefficient neutral delay integro-differential equations. These results are obtained using two different real roots of the relevant characteristic equation.
Ali Fuat Yeniçerioglu
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Reprogramming tumor cells with LCOR mRNA nanotherapy to enhance immunotherapy
LCOR (Ligand‐dependent corepressor) mRNA encapsulated in polymeric nanoparticles restores LCOR activity in tumor cells, constraining aggressive tumor cell states and increasing tumor immunogenicity. This reprogramming makes tumor cells more vulnerable to T‐cell attack and enhances their response to immune‐checkpoint immunotherapy.
Gabriel Serra‐Mir +9 more
wiley +1 more source
Bounded Oscillation of a Forced Nonlinear Neutral Differential Equation
This paper is concerned with the nth-order forced nonlinear neutral differential equation [x(t)-p(t)x(τ(t))](n)+∑i=1mqi(t)fi(x(σi1(t)),x(σi2(t)),…,x(σiki(t)))=g(t), t≥t0.
Zeqing Liu +3 more
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Evaluating the involvement of autolysosomes in the nuclear translocation of fluorescent proteins
Endogenously expressed fluorescent proteins can be degraded by autophagy and transported to cell nuclei via the nuclear pore complex. But in some cell lines, for example, HeLa cells which are positive for immunoreactivity of a receptor ligand, such as UCN I, in cell nuclei, fusion of autolysosome with the nuclear envelope is involved in the nuclear ...
Keiichi Ikeda
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Oscillations of Higher Order Neutral Differential Equations
Consider linear neutral differential equations of odd order in the form \[ [x(t)- P(t) x(t-\tau)]^{(n)}+ Q(t) x(t-\sigma(t))= 0,\tag{1} \] where \(n\geq 1\), \(\tau> 0\), \(P\), \(Q\), \(\sigma\in C([t_0, \infty),\mathbb{R}^+)\) and \(\lim_{t\to \infty} (t- \sigma(t))= \infty\).
Zhang, B.G., Yu, J.S., Wang, Z.C.
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Oscillations of higher order neutral differential equations [PDF]
AbstractConsider the nth-order neutral differential equation where n ≥ 1, δ = ±1, I, K are initial segments of natural numbers, pi, τi, σk ∈ R and qk ≥ 0 for i ∈ I and k ∈ K. Then a necessary and sufficient condition for the oscillation of all solutions of (E) is that its characteristic equation has no real roots.
Bilchev, S. J. +2 more
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Evolution‐guided yeast complementation reveals functional differences in human PSPH variants
Ancient genomes can help guide which human genetic variants are tested experimentally. This study applies that idea to PSPH, a gene involved in serine biosynthesis, and uses high‐throughput yeast complementation to compare variant function. The findings reveal measurable differences among selected alleles and illustrate the value of evolution‐guided ...
Mauricio Campa‐Álvarez +6 more
wiley +1 more source

