Results 81 to 90 of about 2,042,974 (357)

The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems

Boundary Value Problems, 2021
In this article, we consider the existence of solutions to the Sturm–Liouville differential equation with random impulses and boundary value problems.
Zihan Li, Xiao-Bao Shu, Tengyuan Miao
doaj   +1 more source

Algebraic entropy for differential-delay equations [PDF]

arXiv, 2014
We extend the definition of algebraic entropy to a class of differential-delay equations. The vanishing of the entropy, as a structural property of an equation, signals its integrability. We suggest a simple way to produce differential-delay equations with vanishing entropy from known integrable differential-difference equations.
arxiv  

Surfaceome: a new era in the discovery of immune evasion mechanisms of circulating tumor cells

Molecular Oncology, EarlyView.
In the era of immunotherapies, many patients either do not respond or eventually develop resistance. We propose to pave the way for proteomic analysis of surface‐expressed proteins called surfaceome, of circulating tumor cells. This approach seeks to identify immune evasion mechanisms and discover potential therapeutic targets. Circulating tumor cells (
Doryan Masmoudi, Jérome Vialaret, Christophe Hirtz, Catherine Alix‐Panabières   +3 more
wiley   +1 more source

Initial value problems of fractional order Hadamard-type functional differential equations

Electronic Journal of Differential Equations, 2015
The Banach fixed point theorem and a nonlinear alternative of Leray-Schauder type are used to investigate the existence and uniqueness of solutions for fractional order Hadamard-type functional and neutral functional differential equations.
Bashir Ahmad, Sotiris K. Ntouyas
doaj  

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  

Circulating tumor cells in metastatic breast cancer patients treated with immune checkpoint inhibitors – a biomarker analysis of the ALICE and ICON trials

Molecular Oncology, EarlyView.
In this explorative biomarker analysis, we assessed serial sampling of circulating tumor cells (CTCs) with CellSearch in two randomized trials testing immune checkpoint inhibitors (ICIs) in metastatic breast cancer. Our data demonstrate a prognostic potential of CTCs, most apparent 4 weeks into ICI therapy.
Nikolai Kragøe Andresen, Andreas Hagen Røssevold, Elin Borgen, Cecilie Bendigtsen Schirmer, Bjørnar Gilje, Øystein Garred, Jon Lømo, Marius Stensland, Oddmund Nordgård, Ragnhild Sørum Falk, Randi R. Mathiesen, Hege G. Russnes, Jon Amund Kyte, Bjørn Naume   +13 more
wiley   +1 more source

Questions concerning differential-algebraic operators: Toward a reliable direct numerical treatment of differential-algebraic equations [PDF]

arXiv, 2019
The nature of so-called differential-algebraic operators and their approximations is constitutive for the direct treatment of higher-index differential-algebraic equations. We treat first-order differential-algebraic operators in detail and contribute to justify the overdetermined polynomial collocation applied to higher-index differential-algebraic ...
arxiv  

A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer

Molecular Oncology, EarlyView.
Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMag™, EasySep™, RosetteSep™, Parsortix® PR1, and Parsortix® Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini, Ezgi Oner, Mark P. Ward, Sinead Hurley, Brian David Henderson, Faye Lewis, Stephen P. Finn, Gerard J. Fitzmaurice, John J. O'Leary, Sharon O'Toole, Lorraine O'Driscoll, Kathy Gately   +11 more
wiley   +1 more source

Solving system of integro differential equations using discrete adomian decomposition method

Journal of Taibah University for Science, 2019
In this paper, we propose a new numerical method for solving system of integro-differential equations featuring Volterra and Fredholm integrals. The proposed method depends on the successful application of the Discrete Adomian Decomposition Method (DADM)
H. O. Bakodah, M. Al-Mazmumy, S. O. Almuhalbedi   +2 more
doaj   +1 more source

Qualitative investigation of the solutions to differential equations. (Application of the skew-symmetric differential forms) [PDF]

arXiv, 2004
The presented method of investigating the solutions to differential equations is not new. Such an approach was developed by Cartan in his analysis of the integrability of differential equations. Here this approach is outlined to demonstrate the role of skew-symmetric differential forms.
arxiv