Results 111 to 120 of about 3,581,339 (338)
Heteroclinic orbits of a second order nonlinear difference equation
Electronic Journal of Differential Equations, 2017 This article concerns a second-order nonlinear difference equation. By using critical point theory, the existence of two heteroclinic orbits is obtained. The main method used is variational.
Haiping Shi, Xia Liu, Tao Zhou
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Geometric applications of critical point theory to submanifolds of complex projective space [PDF]
, 1974 Thomas E. Cecil
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Sandwich pairs in critical point theory [PDF]
Transactions of the American Mathematical Society, 2008 Since the development of the calculus of variations there has been interest in finding critical points of functionals. This was intensified by the fact that for many equations arising in practice the solutions are critical points of functionals. If a functional G is semibounded, one can find a Palais-Smale (PS) sequence G(u k ) → a, G'(u k ) → 0. These
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Molecular Oncology, EarlyView.In thyroid cancer patients, high‐dose (≥7.4 GBq) radioactive iodine therapy (RAIT) was associated with a higher prevalence of clonal hematopoiesis (variant allele frequency >2%) in individuals aged ≥50 years (OR = 2.44). In silico analyses showed that truncating PPM1D mutations conferred a selective advantage under these conditions.
Jaeryuk Kim +11 more
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Molecular Oncology, EarlyView.This study presents a novel AI‐based diagnostic approach—comprehensive serum glycopeptide spectra analysis (CSGSA)—that integrates tumor markers and enriched glycopeptides from serum. Using a neural network model, this method accurately distinguishes liver and pancreatic cancers from healthy individuals.
Motoyuki Kohjima +6 more
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Exploring the role of cyclin D1 in the pathogenesis of multiple myeloma beyond cell cycle regulation
Molecular Oncology, EarlyView.Cyclin D1 overexpression altered the cell adhesion pathway, while cyclin D2 upregulation had less impact on pathway enrichment analysis. Multiple myeloma (MM) patients with cyclin D1 overexpression showed reduced CD56 expression and increased circulating tumor cells (CTC) levels, suggesting that cyclin D1 may contribute to MM cell dissemination ...
Ignacio J. Cardona‐Benavides +13 more
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A modified zero energy critical point theory with applications to several nonlocal problems
Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we devote ourselves to considering a modified zero energy critical point theory for a specific set of functionals denoted as $\Phi_{\mu}$, defined within the confines of a uniformly convex Banach space.
Xinzhong Liang, Binlin Zhang
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Comments on Fluctuation Theory Calculations of the Specific Heat near the Critical Point [PDF]
, 1970 Raymond D. Mountain
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Critical point theory for perturbations of symmetric functionals
Commentarii Mathematici Helvetici, 1996 The author gives conditions on the existence of infinitely many critical points for functionals which are not invariant relative to transformation groups \(G\). On the basis of the notions of absolute and relative versions of the \(G\)-capacity, a general critical point theorem for perturbations of symmetric functions on a Banach manifold is proved ...
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β‐TrCP overexpression enhances cisplatin sensitivity by depleting BRCA1
Molecular Oncology, EarlyView.Low levels of β‐TrCP (Panel A) allow the accumulation of BRCA1 and CtIP, which facilitate the repair of cisplatin‐induced DNA damage via homologous recombination (HR) and promote tumor cell survival. In contrast, high β‐TrCP expression (Panel B) leads to BRCA1 and CtIP degradation, impairing HR repair, resulting in persistent DNA damage and apoptosis ...
Rocío Jiménez‐Guerrero +8 more
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