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Dual Numbers for Algorithmic Differentiation
"The cubic spline interpolation method, the Runge–Kutta method, and the Newton–Raphson method are extended to dual versions (developed in the context of dual numbers). This extension allows the calculation of the derivatives of complicated compositions of functions which are not necessarily defined by a closed form expression.
F. Peñuñuri+4 more
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Cotargeting EGFR and STAT3 with Erlotinib and TTI‐101 impairs both 2D and 3D growth of ETV1‐overexpressing prostate cancer cells by disrupting a self‐sustaining ETV1–EGFR positive feedback loop that promotes EGFR and STAT3 expression and phosphorylation (activation).
Elsa Gomes Paiva+5 more
wiley +1 more source
Non‐small cell lung cancer targeted treatment is limited to a few known genetic alterations, with few alternatives in advanced treatment lines. To direct treatment decisions by drug sensitivity testing (DST), this study compared several methods for tumor cell isolation from malignant effusions, pointing to repeated CD45+ cell depletion for effective ...
Navit Mooshayef+10 more
wiley +1 more source
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
wiley +1 more source
Dual Active Galactic Nuclei: Precursors of Binary Supermassive Black Hole Formation and Mergers
The presence of dual active galactic nuclei (AGNs) on scales of a few tens of kiloparsecs can be used to study merger-induced accretion on supermassive black holes (SMBHs) and offer insights about SMBH mergers, using dual AGNs as merger precursors.
Vida Saeedzadeh+5 more
doaj +1 more source
A Third Number: Discussing Duals in Lithuanian Language
Modern Lithuanian has two grammatical numbers: singular and plural, nevertheless literature sources note the existence of the dual number residue in Lithuanian. This phenomenon is prominent in Austronesian languages as stated by Schwartz (1989:237-238) and there are different types of duals.
openaire +4 more sources
Carcinoma‐associated fibroblasts (CAFs) in tumors influence cancer progression. We identified endoglin (ENG) as a key factor in TGF‐β signaling in myofibroblastic CAFs (myCAFs), linked to poor breast cancer outcomes. Inhibiting ENG on myCAFs suppressed the TGF‐β‐Smad2/3 pathway, reducing primary tumor growth and metastasis.
Shoki Okubo+11 more
wiley +1 more source
In luminal (ER+) breast carcinoma (BC), miRNA profiling identified miR‐195‐5p as a key regulator of proliferation that targets CHEK1, CDC25A, and CCNE1. High CHEK1 expression correlates with worse relapse‐free survival after chemotherapy, especially in patients with luminal A subtype.
Veronika Boušková+14 more
wiley +1 more source