Results 81 to 90 of about 2,088,895 (372)

Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative

Alexandria Engineering Journal, 2019
In the present paper, we use efficient and simple algorithms of the fractional power series and Adomain polynomial methods that provide effective tools for solving such linear and nonlinear fractional differential equations in the sense of conformable ...
Zeyad Al-Zhour, Nouf Al-Mutairi, Fatimah Alrawajeh, Raed Alkhasawneh   +3 more
doaj  

Linear Analysis of an Integro-Differential Delay Equation Model

International Journal of Differential Equations, 2018
This paper presents a computational study of the stability of the steady state solutions of a biological model with negative feedback and time delay. The motivation behind the construction of our system comes from biological gene networks and the model ...
Anael Verdugo
doaj   +1 more source

Flow‐based immunomagnetic enrichment of circulating tumor cells from diagnostic leukapheresis product

Molecular Oncology, EarlyView.
The number of circulating tumor cells obtained from prostate cancer patients was increased approximately 5‐fold compared to regular CellSearch when processing 2 mL diagnostic leukapheresis material aliquots and increased by 44‐fold when processing 20 mL DLA aliquots using the flow enrichment target capture Halbach‐array.
Michiel Stevens, Anouk Mentink, Frank A. W. Coumans, Eshwari Dathathri, Khrystany T. Isebia, Jaco Kraan, Ronald de Wit, John W. M. Martens, Leon W. M. M. Terstappen   +8 more
wiley   +1 more source

A kind of non-zero sum mixed differential game of backward stochastic differential equation

Advances in Difference Equations, 2020
This paper is concerned with a non-zero sum mixed differential game problem described by a backward stochastic differential equation. Here the term “mixed” means that this game problem contains a deterministic control v1 $v_{1}$ of Player 1 and a random ...
Huanjun Zhang
doaj   +1 more source

Exact Solutions of Bernoulli and Logistic Fractional Differential Equations with Power Law Coefficients

Mathematics, 2020
In this paper, we consider a nonlinear fractional differential equation. This equation takes the form of the Bernoulli differential equation, where we use the Caputo fractional derivative of non-integer order instead of the first-order derivative.
Vasily E. Tarasov
doaj   +1 more source

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

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

A New Analytical Procedure for Solving the Non-Linear Differential Equation Arising in the Stretching Sheet Problem

International Journal of Applied Mechanics and Engineering, 2013
The paper discusses a new analytical procedure for solving the non-linear boundary layer equation arising in a linear stretching sheet problem involving a Newtonian/non-Newtonian liquid. On using a technique akin to perturbation the problem gives rise to
P.G. Siddheshwar, U.S. Mahabaleswar, H.I. Andersson   +2 more
doaj   +1 more source

Generalized iterative method for the solution of linear and nonlinear fractional differential equations with composite fractional derivative operator

AIMS Mathematics, 2020
In present paper, we introduced generalized iterative method to solve linear and nonlinear fractional differential equations with composite fractional derivative operator.
Krunal B. Kachhia, Jyotindra C. Prajapati   +1 more
doaj   +1 more source

On linear matrix differential equations

Advances in Applied Mathematics, 2007
AbstractWe use elementary methods and operator identities to solve linear matrix differential equations and we obtain explicit formulas for the exponential of a matrix. We also give explicit constructions of solutions of scalar homogeneous equations with certain initial values, called dynamic solutions, that play an important role in the solution of ...
openaire   +1 more source