Results 121 to 130 of about 2,558,527 (394)
Geometric Linearization of Ordinary Differential Equations [PDF]
This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
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This study simultaneously investigated circulating tumor cells (CTCs) and exosomes from small‐cell lung cancer (SCLC) patients. The elevated expression of JUNB and CXCR4 in CTCs was a poor prognostic factor for SCLC patients, whereas exosomal overexpression of these biomarkers revealed a high discrimination ability of patients from healthy individuals,
Dimitrios Papakonstantinou+13 more
wiley +1 more source
Symmetry solution on fractional equation
As we know nearly all physical, chemical, and biological processes in nature can be described or modeled by dint of a differential equation or a system of differential equations, an integral equation or an integro-differential equation.
Gulistan Iskandarova, Dogan Kaya
doaj +1 more source
Compact integral manifolds of differential systems [PDF]
The boundedness tests for the number of compact integral manifolds of autonomous ordinary differential systems, of autonomous total differential systems, of linear systems of partial differential equations, of Pfaff systems of equations, and of systems of exterior differential equations are proved.
arxiv
Linear approximations in a class of non-linear vector differential equations [PDF]
J. J. Gilvarry
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On linear differential-algebraic equations and linearizations [PDF]
On the background of a careful analysis of linear DAEs, linearizations of nonlinear index-2 systems are considered. Finding appropriate function spaces and their topologies allows to apply the standard Implicit Function Theorem again. Both, solvability statements as well as the local convergence of the Newton-Kantorovich method (quasilinearization ...
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This study explores how sepsis affects GC progression by creating an immunosuppressive environment. Our findings reveal that sepsis promotes immune dysregulation, enhancing tumor growth and metastasis. Targeting the PD‐1/PD‐L1 pathway with monoclonal antibodies shows potential for restoring immune function and improving outcomes in cancer patients ...
Yiding Wang+10 more
wiley +1 more source
Loewy decomposition of linear differential equations [PDF]
This paper explains the developments on factorization and decomposition of linear differential equations in the last two decades. The results are applied for developing solution procedures for these differential equations. Although the subject is more than 100 years old, it has been rediscovered as recently as about 20 years ago.
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High‐grade serous ovarian cancer (HGSOC) is the most common and aggressive type of ovarian cancer with urgent need for new treatment strategies. This study evaluates plasma‐activated media (PAM) as a novel treatment for HGSOC, showing its ability to selectively induce oxidative stress and apoptosis in HGSOC cell lines, patient ascites cells and primary
Lorena T. Davies+9 more
wiley +1 more source
Galois Theory of Parameterized Differential Equations and Linear Differential Algebraic Groups [PDF]
We present a Galois theory of parameterized linear differential equations where the Galois groups are linear differential algebraic groups, that is, groups of matrices whose entries are functions of the parameters and satisfy a set of differential equations with respect to these parameters. We present the basic constructions and results, give examples,
arxiv