Results 51 to 60 of about 15,821 (256)
The Periodic Solutions of Nonlinear Differential Difference Equations
The existence of slowly oscillating periodic solutions and rapidly oscillating solutions to a class of differential difference equations is considered. Sufficient conditions under which the equations have at least \(N\) or an infinite number of nonconstant periodic solutions are established. For example, it is shown that if \(ah > {\pi \over 2}\), then
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Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
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Existence of Periodic and Subharmonic Solutions for Second-Order p-Laplacian Difference Equations
We obtain a sufficient condition for the existence of periodic and subharmonic solutions of second-order p-Laplacian difference equations using the critical point theory.
Peng Chen, Hui Fang
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Periodic solutions of neutral difference equations
The authors consider ``neutral'' difference equations \[ \triangle(D(n,x_n))=f(n,x_n) \] with finite and infinite delays. Here \(D\) and \(f\) are defined on some subsets of \({\mathbb Z}\times C \rightarrow {\mathbb R}^k\), \(x_n=x(n+s)\) where both \(n\) and \(s\) are integers, \(-r\leq s\leq 0\) and \(C\) is the space of finite \({\mathbb R}^k ...
Zhang, Shunian, Li, Wan-Tong
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An epithelial GPR35 isoform supports tumor‐associated transcriptional and metabolic phenotypes
GPR35 generates two functionally distinct isoforms with previously unresolved roles. GPR35‐short mediates immune‐cell chemotaxis, while GPR35‐long is enriched in colorectal cancer epithelium, where it supports increased metabolism, proliferation, and tumor‐associated transcriptional programs.
Jørgen D. Rønneberg +14 more
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Stable periodic solutions of difference equations
The authors consider the difference equation \[ x(t+1)= f\bigl(x(t)\bigr)+ \varepsilon g\bigl(t,x(t), x(t+1)\bigr),\;t\geq 0, \] where \(f\) and \(g\) are continuous functions and \(\varepsilon\) is sufficiently small. The function \(f\) has an attracting cycle of length \(n\) and \(g\) is 1-periodic in \(t\). Under further conditions the existence of \
Agarwal, R.P., Romanenko, E.Yu.
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Hijacking emergency granulopoiesis: Neutrophil ontogeny and reprogramming in cancer
Neutrophils are highly plastic innate immune cells; their functions in cancer extend beyond the tumour microenvironment. This Review summarises current understanding of neutrophil maturation and heterogeneity and highlights tumour‐induced granulopoiesis as a systemic programme that expands immature, immunosuppressive neutrophils via tumour‐derived ...
Gabriela Marinescu, Yi Feng
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Combining osimertinib with the STING agonist ADU‐S100 activates innate and adaptive immunity to overcome the non‐inflamed microenvironment of Egfr‐mutant lung cancer. This combination increases NK and CD8+ T‐cell infiltration, associated with activation of the STING‐IRF3 pathway and local immunogenic cell death.
Jun Nishimura +19 more
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The existence of periodic, almost periodic, and asymptotically almost periodic of periodic and almost periodic of abstract retarded functional difference equations in phase spaces is obtained by using stability properties of a bounded solution.
Vidal Claudio
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