The asymptotic solutions of certain linear ordinary differential equations of the second order [PDF]
, 1934 Rudolph E. Langer
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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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Modified Riccati technique for half-linear differential equations with delay
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We study the half-linear differential equation $$ (r(t)\Phi(x'(t)))'+c(t)\Phi(x(\tau(t)))=0,\quad \Phi(x):=|x|^{p-2}x,\ p>1. $$ We formulate new oscillation criteria for this equation by comparing it with a certain ordinary linear or half-linear ...
Simona Fišnarová, Robert Marik
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The Information Bottleneck's Ordinary Differential Equation: First-Order Root Tracking for the Information Bottleneck. [PDF]
Entropy (Basel), 2023 Agmon S.
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On exterior derivatives and solutions of ordinary differential equations [PDF]
, 1959 Philip Hartman
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Determination of ADP/ATP translocase isoform ratios in malignancy and cellular senescence
Molecular Oncology, EarlyView.The individual functions of three isoforms exchanging ADP and ATP (ADP/ATP translocases; ANTs) on the mitochondrial membrane remain unclear. We developed a method for quantitatively differentiating highly similar human ANT1, ANT2, and ANT3 using parallel reaction monitoring. This method allowed us to assess changes in translocase levels during cellular
Zuzana Liblova +18 more
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II.—A Fundamental Theorem regarding the Equivalence of Systems of Ordinary Linear Differential Equations, and its Application to the Determination of the Order and the Systematic Solution of a Determinate System of such Equations [PDF]
, 1897 George Chrystal
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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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Complex-Valued Ordinary Differential Equation Modeling for Time Series Identification
IEEE Access, 2019 Time series identification is one of the key approaches to dealing with time series data and discovering the change rules. Therefore, time series forecasting can be treated as one of the most challenging issues in this field.
Bin Yang, Wenzheng Bao
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Some of the developments in the theory of ordinary differential equations between 1878 and 1893 [PDF]
, 1893 Thomas Craig
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