Results 41 to 50 of about 4,818,273 (341)
Maximum Principles at infinity
Journal of Differential Geometry, 2008 We prove a general maximum principle at infinity for properly immersed minimal surfaces with boundary in R 3 . An important corollary of this maximum principle at infinity is the existence of a fixed sized regular neighborhood for any properly embedded minimal surface of bounded curvature.
Meeks, WH, Rosenberg, H
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Molecular Oncology, EarlyView.This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani +14 more
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On Korenblum’s maximum principle [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: If \(f\) and \(g\) are analytic functions in the unit disk and \(|\cdot|\) is the Bergman norm, conditions are studied under which there exists an absolute constant \(c\) such that \(|f(z)|\geq|g(z)|\) for \(c\leq|z|
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Molecular Oncology, EarlyView.Trastuzumab‐deruxtecan, a HER2‐targeting antibody‐drug conjugate, shows promising antitumor activity in head and neck squamous cell carcinoma with low HER2 expression. In vitro and in vivo studies demonstrated dose‐dependent cell death and tumor growth reduction in low HER2‐expressing cell lines, which correlated with drug accumulation measured using a
Abdullah Bin Naveed +8 more
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Maximum principle for stable operators
Mathematische Nachrichten, 2023 AbstractWe prove a weak maximum principle for nonlocal symmetric stable operators including the fractional Laplacian. The main focus of this work is on minimal regularity assumptions of the functions under consideration.
Grube, Florian, Hensiek, Thorben
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Molecular Oncology, EarlyView.Human cytomegalovirus infection is common in normal prostate epithelium, prostate tumor tissue, and prostate cancer cell lines. CMV promotes cell survival, proliferation, and androgen receptor signaling. Anti‐CMV pharmaceutical compounds in clinical use inhibited cell expansion in prostate cancer models in vitro and in vivo, motivating investigation ...
Johanna Classon +13 more
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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.Small extracellular vesicles are a promising source of diagnostic molecules. We conducted a comprehensive study, including transcriptome profiling and RT‐qPCR validation on large cohorts of samples. Diagnostic panels enabling sensitive detection of colorectal cancer and precancerous lesions were established. Some molecules were differentially expressed
Petra Vychytilova‐Faltejskova +26 more
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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
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Thermodynamic resource theories, non-commutativity and maximum entropy principles
New Journal of Physics, 2017 We discuss some features of thermodynamics in the presence of multiple conserved quantities. We prove a generalisation of Landauer principle illustrating tradeoffs between the erasure costs paid in different ‘currencies’.
Matteo Lostaglio +2 more
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