Results 81 to 90 of about 395,319 (323)
Results in Applied MathematicsIn this study, we investigate the use of damped linear dynamic equations with the conformable derivative on time scales to provide sufficient conditions to guarantee nonoscillation for nontrivial solutions of both ordinary differential and discrete ...
Kazuki Ishibashi
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Ermakov-Pinney and Emden-Fowler equations: new solutions from novel B\"acklund transformations
, 2017 The class of nonlinear ordinary differential equations $y^{\prime\prime}y = F(z,y^2)$, where F is a smooth function, is studied. Various nonlinear ordinary differential equations, whose applicative importance is well known, belong to such a class of ...
Carillo, Sandra, Zullo, Federico
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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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, 2009 A new method is presented for Fourier decomposition of the Helmholtz Green Function in cylindrical coordinates, which is equivalent to obtaining the solution of the Helmholtz equation for a general ring source.
A. Erdélyi +18 more
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Molecular Oncology, EarlyView.This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu +12 more
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From differential to difference equations for first order ODEs [PDF]
When constructing an algorithm for the numerical integration of a differential equation, one should first convert the known ordinary differential equation (ODE) into an ordinary difference equation.
Freed, Alan D., Walker, Kevin P.
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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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Boundary value and expansion problems of ordinary linear differential equations [PDF]
, 1908 George D. Birkhoff
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Numerical Solution of the Bagley-Torvik Equation Using the Integer-Order Derivatives Expansion
Science Journal of University of Zakho, 2018 Numerical solution of the well-known Bagley-Torvik equation is considered. The fractional-order derivative in the equation is converted, approximately, to ordinary-order derivatives up to second order.
Afrah S. Hasan
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Unraveling LINE‐1 retrotransposition in head and neck squamous cell carcinoma
Molecular Oncology, EarlyView.The novel RetroTest method allows the detection of L1 activation in clinical samples with low DNA input, providing global L1 activity and the identification of the L1 source element. We applied RetroTest to a real‐world cohort of HNSCC patients where we reported an early L1 activation, with more than 60% of T1 patients showing L1 activity.
Jenifer Brea‐Iglesias +12 more
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