Results 111 to 120 of about 12,501,815 (346)

Algebras of Differentiable Functions [PDF]

Proceedings of the American Mathematical Society, 1954
1. Let M be a compact differentiable manifold of class Cr, 1
openaire   +2 more sources

Differentiation of Zygmund functions [PDF]

Proceedings of the American Mathematical Society, 1993
The "little- o o Zygmund class" λ ∗ {\lambda ^{\ast }} contains a nowhere-differentiable function.
openaire   +2 more sources

Cellular liquid biopsy provides unique chances for disease monitoring, preclinical model generation and therapy adjustment in rare salivary gland cancer patients

Molecular Oncology, EarlyView.
We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić, Florian Lüke, Steffi Treitschke, Andrea Coluccio, Martin Hoffmann, Giancarlo Feliciello, Adithi Ravikumar Varadarajan, Xin Lu, Kathrin Weidele, Catherine Botteron, Silvia Materna–Reichelt, Felix Keil, Katja Evert, Florian Weber, Thomas Schamberger, Michael Althammer, Jirka Grosse, Dirk Hellwig, Christian Schulz, Stephan Seitz, Peter Ugocsai, Anke Schlenska‐Lange, Roman Mayr, Ulrich Kaiser, Wolfgang Dietmaier, Bernhard Polzer, Jens Warfsmann, Kamran Honarnejad, Tobias Pukrop, Daniel Heudobler, Christoph A. Klein, Christian Werno   +31 more
wiley   +1 more source

Differential overconvergence [PDF]

arXiv, 2011
We prove that some of the basic differential functions appearing in the (unramified) theory of arithmetic differential equations, especially some of the basic differential modular forms in that theory, arise from a "ramified situation". This property can be viewed as a special kind of overconvergence property.
arxiv  

Combined spatially resolved metabolomics and spatial transcriptomics reveal the mechanism of RACK1‐mediated fatty acid synthesis

Molecular Oncology, EarlyView.
The authors analyzed the spatial distributions of gene and metabolite profiles in cervical cancer through spatial transcriptomic and spatially resolved metabolomic techniques. Pivotal genes and metabolites within these cases were then identified and validated.
Lixiu Xu, Jinqiu Li, Junqi Ma, Ayshamgul Hasim   +3 more
wiley   +1 more source

Differential Operator Method of Finding A Particular Solution to An Ordinary Nonhomogeneous Linear Differential Equation with Constant Coefficients [PDF]

arXiv, 2018
We systematically introduce the idea of applying differential operator method to find a particular solution of an ordinary nonhomogeneous linear differential equation with constant coefficients when the nonhomogeneous term is a polynomial function, exponential function, sine function, cosine function or any possible product of these functions.
arxiv  

Weakened subdifferentials and Frechet differentiability of real functions [PDF]

Let X be a real Banach space and f : X ! R [ {+1}. It is well known that the Clarke subdifferential @ f(x) of the function f at x 2 int dom f is a singleton if and only if f is strongly differentiable (then @ f(x) = {Dsf(x)}, where Dsf(x) is the strong ...
Ginchev Ivan
core  

The accumulation of myeloid‐derived suppressor cells participates in abdominal infection‐induced tumor progression through the PD‐L1/PD‐1 axis

Molecular Oncology, EarlyView.
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, Ting Guo, Xiaofang Xing, Xijuan Liu, Xuejun Gan, Yingai Li, Yan Liu, Fei Shan, Zhouqiao Wu, Jiafu Ji, Ziyu Li   +10 more
wiley   +1 more source

On the Taylor Differentiability in Spaces L_p, 0 < p ≤ ∞

Моделирование и анализ информационных систем, 2018
The function \(f\in L_p[I], \;p>0,\) is called \((k,p)\)-differentiable at a point \(x_0\in I\) if there exists an algebraic polynomial of \(\pi\) of degree no more than \(k\) for which holds \( \Vert f-\pi \Vert_{L_p[J_h]} = o(h^{k+\frac{1}{p ...
Anatoly N. Morozov
doaj   +1 more source

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