Results 81 to 90 of about 696,919 (285)

A solution to a fractional order semilinear equation using variational method

open access: yesMathematics in Applied Sciences and Engineering, 2020
We will discuss how we obtain a solution to a semilinear pseudo-differential equation involving fractional power of laplacian by using a method analogous to the direct method of calculus of variations.
Ramesh Karki, Young Hwan You
doaj   +1 more source

Hopf Bifurcation and Chaos in a Single Inertial Neuron Model with Time Delay

open access: yes, 2004
A delayed differential equation modelling a single neuron with inertial term is considered in this paper. Hopf bifurcation is studied by using the normal form theory of retarded functional differential equations.
Babcock   +28 more
core   +3 more sources

PARP inhibition and pharmacological ascorbate demonstrate synergy in castration‐resistant prostate cancer

open access: yesMolecular Oncology, EarlyView.
Pharmacologic ascorbate (vitamin C) increases ROS, disrupts cellular metabolism, and induces DNA damage in CRPC cells. These effects sensitize tumors to PARP inhibition, producing synergistic growth suppression with olaparib in vitro and significantly delayed tumor progression in vivo. Pyruvate rescue confirms ROS‐dependent activity.
Nicolas Gordon   +13 more
wiley   +1 more source

A Survey of Some Current Research in Functional-differential Equations [PDF]

open access: yes
Functional differential equation applications using geometric ...
Hale, J. K.
core   +1 more source

The PI3Kδ inhibitor roginolisib (IOA‐244) preserves T‐cell function and activity

open access: yesMolecular Oncology, EarlyView.
Identification of novel PI3K inhibitors with limited immune‐related adverse effects is highly sought after. We found that roginolisib and idelalisib inhibit chronic lymphocytic leukemia (CLL) cells and Treg suppressive functions to similar extents, but roginolisib affects cytotoxic T‐cell function and promotion of pro‐inflammatory T helper subsets to a
Elise Solli   +7 more
wiley   +1 more source

Gradient Bounds for Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motions [PDF]

open access: yes, 2011
We study some functional inequalities satisfied by the distribution of the solution of a stochastic differential equation driven by fractional Brownian motions.
Cheng Ouyang   +3 more
core  

Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment

open access: yesMolecular Oncology, EarlyView.
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley   +1 more source

Analytic solutions of a first order functional differential equation with a state derivative dependent delay

open access: yesElectronic Journal of Differential Equations, 2009
This article concerns the first-order functional differential equation $$ x'(z)=x(p(z)+bx'(z)) $$ with the distinctive feature that the argument of the unknown function depends on the state derivative.
Pingping Zhang
doaj  

Resolvent of nonautonomous linear delay functional differential equations

open access: yesNonautonomous Dynamical Systems, 2015
The aim of this paper is to give a complete proof of the formula for the resolvent of a nonautonomous linear delay functional differential equations given in the book of Hale and Verduyn Lunel [9] under the assumption alone of the continuity of the right-
Blot Joël, Koné Mamadou I.
doaj   +1 more source

The existence and Hyers–Ulam stability of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order 1<β<2 $1<\beta<2$

open access: yesBoundary Value Problems, 2019
This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order ...
Yuchen Guo   +3 more
doaj   +1 more source

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