Applications of tangent transformations to the linearization problem of fourth-order ordinary differential equations [PDF]
arXiv, 2013 Linearization problem of ordinary differential equations by a new set of tangent transformations is considered in the paper. This set of transformations allows one to extend the set of transformations applied for the linearization problem. Criteria for fourth-order ordinary differential equations to be linearizable are obtained in a particular case; a ...
arxiv
Molecular Oncology, EarlyView.Pancreatic ductal adenocarcinoma patient‐derived xenografts (PDAC‐PDXs) engrafted orthotopically in the pancreas of immunodeficient mice retain the main genetic and histopathological characteristics of the original human tumors. A 294 stroma gene signature differentiates between PDAC‐PDXs that are responsive to gemcitabine plus nab‐paclitaxel versus ...
Alessia Anastasia +13 more
wiley +1 more source
The asymptotic solutions of certain linear ordinary differential equations of the second order [PDF]
, 1934 Rudolph E. Langer
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Stochastic variation in the FOXM1 transcription program mediates replication stress tolerance
Molecular Oncology, EarlyView.Cellular heterogeneity is a major cause of drug resistance in cancer. Segeren et al. used single‐cell transcriptomics to investigate gene expression events that correlate with sensitivity to the DNA‐damaging drugs gemcitabine and prexasertib. They show that dampened expression of transcription factor FOXM1 and its target genes protected cells against ...
Hendrika A. Segeren +4 more
wiley +1 more source
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
doaj +1 more source
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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Logistic function as solution of many nonlinear differential equations [PDF]
arXiv, 2014 The logistic function is shown to be solution of the Riccati equation, some second-order nonlinear ordinary differential equations and many third-order nonlinear ordinary differential equations. The list of the differential equations having solution in the form of the logistic function is presented.
arxiv
The asymptotic solutions of an ordinary differential equation in which the coefficient of the parameter is singular [PDF]
, 1951 E.D. Cashwell
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Molecular Oncology, EarlyView.The study evaluated the function and therapeutic implications of PRAME in basal cell carcinoma (BCC) and squamous cell carcinoma (SCC). The findings demonstrate that PRAME impairs keratinocyte differentiation pathways. Furthermore, PRAME impairs anticancer response to retinoid compounds in BCC and SCC cells.
Brandon Ramchatesingh +6 more
wiley +1 more source
On the solution of some simple fractional differential equations
International Journal of Mathematics and Mathematical Sciences, 1990 The differintegration or fractional derivative of complex order ν, is a generalization of the ordinary concept of derivative of order n, from positive integer ν=n to complex values of ν, including also, for ν=−n a negative integer, the ordinary n-th ...
L. M. B. C. Campos
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