Results 131 to 140 of about 2,558,527 (394)
Shadowing for linear systems of differential equations [PDF]
Publicacions Matemàtiques, 1993 For a system of linear ordinary differential equations with constant coefficients a simple proof is given that hyperbolicity is equivalent to shadowing.
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Molecular Oncology, EarlyView.This study shows that patients with gastrointestinal adenocarcinomas can be stratified into six distinct subtypes based on genome‐scale DNA methylation profiling. This stratification, achieved using a robust analytical framework, aligns with established tumor characteristics and holds potential to support prognostication.
Rita Pinto +3 more
wiley +1 more source
Linear Complete Differential Resultants and the Implicitization of Linear DPPEs [PDF]
Journal of Symbolic Computation, 45, 324-341 (2010), 2007 The linear complete differential resultant of a finite set of linear ordinary differential polynomials is defined. We study the computation by linear complete differential resultants of the implicit equation of a system of $n$ linear differential polynomial parametric equations in $n-1$ differential parameters.
arxiv
Molecular Oncology, EarlyView.VASP was found to be overexpressed in metastatic oral squamous cell carcinoma (OSCC) tissues. Notably, PTTG1‐ and VASP‐deficient OSCC cells demonstrated suppressed metastatic properties by disrupting the interaction between the cytoskeleton and focal adhesion (FAs) in the filopodia region.
Suyeon Park +6 more
wiley +1 more source
Mean-field approximation of counting processes from a differential equation perspective
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Deterministic limit of a class of continuous time Markov chains is considered based purely on differential equation techniques. Starting from the linear system of master equations, ordinary differential equations for the moments and a partial ...
Dávid Kunszenti-Kovács, Péter Simon
doaj +1 more source
Linearized Asymptotic Stability for Fractional Differential Equations [PDF]
Electron. J. Qual. Theory Differ. Equ., No. 39, 1-13, 2016, 2015 We prove the theorem of linearized asymptotic stability for fractional differential equations. More precisely, we show that an equilibrium of a nonlinear Caputo fractional differential equation is asymptotically stable if its linearization at the equilibrium is asymptotically stable.
arxiv
XXVI.—On a Group of Linear Differential Equations of the 2nd Order, including Professor Chrystal's Seiche-equations [PDF]
, 1906 J. Halm
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On a linear stochastic differential equation
Metrika, 1970 Stochastic differential (s. d.) equations had been considered in [Nasr, 1960] and [Nasr]. We consider here, the s. d. equationf(D)x(t)=m(t)+v(t)z(t) wherem(t),v(t) are real functions oft,f(D) is a polynomial inD withD=d/dt, andz(t) is a random function.
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Molecular Oncology, EarlyView.The mitosis‐related gene SKA1 was among 629 genes consistently dysregulated in OSCC across nine public gene expression datasets. In OSCC cell lines, SKA1 promoted proliferation and migration, enhanced radioresistance, and reduced radiation‐induced senescence.
Alexander Michael Grandits +7 more
wiley +1 more source
Symmetry Analysis of Semi-Linear Partial Differential Equations and Forward Backward Stochastic Differential Equations [PDF]
arXivWe examine the Lie symmetries of a semi-linear partial differential equations and their connections to the analogous symmetries of the forward-backward stochastic differential equations (FBSDEs), established through the generalized Feynman-Kac formula.
arxiv