Results 131 to 140 of about 766,070 (327)
Periodic solutions for evolution equations
Electronic Journal of Differential Equations, 2002 We study the existence and uniqueness of periodic solutions for evolution equations. First we analyze the one-dimensional case. Then for arbitrary dimensions (finite or not), we consider linear symmetric operators.
Mihai Bostan
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Periodic solutions of Kadomtsev-Petviashvili
Advances in Mathematics, 1987 This paper concerns the global solutions of the Kadomtsev-Petviashvili (KP) equation \(u_ t+uu_ x+u_{xxx}=D^{-1}u_{yy},\) where \(D^{- 1}v=\int^{x}_{0}v dx,\) and \(u=u(x,y,t)\) is periodic in x and y. Let \(V_ m\) be the set of periodic functions v with \[ \| v\|_{V_ m}=\sum^{m}_{n=0}\sum^{n}_{\ell =0}\| D_ x^{n-\ell}(D_ x^{-1}D_ y)^{\ell_ v}\|
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Molecular Oncology, EarlyView.A‐to‐I editing of miRNAs, particularly miR‐200b‐3p, contributes to HGSOC progression by enhancing cancer cell proliferation, migration and 3D growth. The edited form is linked to poorer patient survival and the identification of novel molecular targets.
Magdalena Niemira +14 more
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On a normal form of periodic solutions and secular solutions [PDF]
, 1935 Vladimír Heinrich
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Periodic solutions of a delayed, periodic logistic equation
Applied Mathematics Letters, 2003 Consider the delay differential equation \[ {dN(t)\over dt}= N(t)[a(t)- b(t) N^p(t-\sigma(t))- c(t) N^q(t-\tau(t))],\tag{\(*\)} \] where \(a\), \(b\), \(c\), \(\tau\) are continuous \(\omega\)-periodic functions, \(p\) and \(q\) are positive constants.
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Molecular Oncology, EarlyView.This real‐world study of ROS1+ NSCLC highlights fusion diversity, treatment outcomes with crizotinib and lorlatinib, and in vitro experiments with resistance mechanisms. G2032R drives strong resistance to ROS1‐targeted TKIs, especially lorlatinib. Fusion partner location does not affect overall survival to crizotinib or lorlatinib. Findings support the
Fenneke Zwierenga +8 more
wiley +1 more source
Modeling hepatic fibrosis in TP53 knockout iPSC‐derived human liver organoids
Molecular Oncology, EarlyView.This study developed iPSC‐derived human liver organoids with TP53 gene knockout to model human liver fibrosis. These organoids showed elevated myofibroblast activation, early disease markers, and advanced fibrotic hallmarks. The use of profibrotic differentiation medium further amplified the fibrotic signature seen in the organoids.
Mustafa Karabicici +8 more
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Asymptotic Behavior of a Periodic Diffusion System
Journal of Inequalities and Applications, 2010 We study the asymptotic behavior of the nonnegative solutions of a periodic reaction diffusion system. By obtaining a priori upper bound of the nonnegative periodic solutions of the corresponding periodic diffusion system, we establish the existence of ...
Li Songsong, Hui Xiaofeng
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Molecular Oncology, EarlyView.Following high dose rate brachytherapy (HDR‐BT) for hepatocellular carcinoma (HCC), patients were classified as responders and nonresponders. Post‐therapy serum induced increased BrdU incorporation and Cyclin E expression of Huh7 and HepG2 cells in nonresponders, but decreased levels in responders.
Lukas Salvermoser +14 more
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