Results 91 to 100 of about 1,768,757 (251)
Two step Steffensen-type methods with or without memory for nondifferentiable equations
Journal of Numerical Analysis and Approximation TheoryA wide range of applications emerging from diverse disciplines are formulated as an equation or system of equations in abstract spaces such as Euclidean multidimensional, Hilbert or Banach to mention a few, a plethora of which are nondifferentiable ...
Ioannis K. Argyros, Gagan Deep
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Molecular Oncology, EarlyView.Keratin 19 (KRT19) is overexpressed in high‐grade serous ovarian cancer with high levels of Kallikrein‐related peptidases (KLK) 4–7 and is associated with poor survival. In vivo analyses demonstrate that elevated KRT19 increases peritoneal tumour burden.
Sophia Bielesch +13 more
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Decay properties of spatial molecular orbitals
Results in Applied MathematicsUsing properties of the Fourier transform we prove that if a Hartree–Fock molecular spatial orbital is in L1(R3), then it decays to zero as its argument diverges to infinity. The proof is rigorous, elementary and short.
Richard A. Zalik
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Molecular Oncology, EarlyView.Targeted therapy was evaluated in SHH medulloblastoma using neuroepithelial stem cell (NES) and tumor‐derived NES‐like (tNES) models in 2D monolayers and 3D spheroids. PI3K, AKT, and CDK4/6 inhibitors had minimal effects in NES but markedly reduced viability and growth and induced apoptosis in tNES cells, revealing distinct therapeutic vulnerabilities.
Monika Lukoseviciute +4 more
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Molecular Oncology, EarlyView.We have established a humanized orthotopic patient‐derived xenograft (Hu‐oPDX) mouse model of high‐grade serous ovarian cancer (HGSOC) that recapitulates human tumor–immune interactions. Using combined anti‐PD‐L1/anti‐CD73 immunotherapy, we demonstrate the model's improved biological relevance and enhanced translational value for preclinical ...
Luka Tandaric +10 more
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A characterization of the weights in a divided difference [PDF]
Pacific Journal of Mathematics, 1981 Newman, D. J., Rivlin, T. J.
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Divided differences and multivariate holomorphic calculus
Documenta MathematicaWe review the multivariate holomorphic functional calculus for tuples in a commutative Banach algebra and establish a simple “naïve” extension to commuting tuples in a general Banach algebra. The approach is naïve in the sense that the naïvely defined joint spectrum maybe too big.
Luiz Hartmann, Matthias Lesch
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Convergence Conditions for the Secant Method
Cubo, 2010 We provide new sufficient convergence conditions for the convergence of the Secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K Argyros +1 more
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Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement. [PDF]
Numer Math (Heidelb), 2017 Meng X, Ryan JK.
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Hippo pathway at the crossroads of stemness and therapeutic resistance in breast cancer
Molecular Oncology, EarlyView.Dysregulation of the Hippo pathway drives nuclear accumulation of YAP/TAZ, activating stemness‐related transcriptional programs that sustain breast cancer stemness and fuel therapeutic resistance across subtypes, underscoring Hippo signaling as a targetable vulnerability. Figure created and edited with BioRender.com.
Giulia Schiavoni +11 more
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