Results 91 to 100 of about 12,609 (311)

On the existence and uniqueness of solutions for maximum equations

Glasnik matematički, 2002
An existence-uniqueness result for the Cauchy problem for a system of ordinary differential equations with maximums is established.
Georgiev, Ljubomir, Angelov, Vasil G.
openaire   +2 more sources

PAK1 activation drives divergent resistance mechanisms to aromatase inhibition and tamoxifen in a luminal: A breast cancer model

Molecular Oncology, EarlyView.
Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller, Janina Müller, Efstathios‐Iason Vlachavas, Lukas Beumers, Lena Fleischhacker, Sara Burmester, Angelika Wörner, Sabine Karolus, Dominic Helm, Cindy Körner, Stefan Wiemann   +10 more
wiley   +1 more source

Existence, uniqueness and numerical solution of a fractional PDE with integral conditions

Nonlinear Analysis, 2019
This paper is devoted to the solution of one-dimensional Fractional Partial Differential Equation (FPDE) with nonlocal integral conditions. These FPDEs have been of considerable interest in the recent literature because fractional-order derivatives and ...
Jesus Martín-Vaquero, Ahcene Merad
doaj   +1 more source

In vitro and in silico modelling of ROS1‐positive non‐small cell lung cancer reveals fusion‐dependent tyrosine kinase inhibitor responses

Molecular Oncology, EarlyView.
Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq, Marc Terrones, Felicia Rodrigues Fortes, Anne Schepers, Alessia Denis, Christophe Deben, Ken Op de Beeck, Guy Van Camp, Geert Vandeweyer   +8 more
wiley   +1 more source

Existence and uniqueness of Solution for Boundary Value Problem of Fractional Order

Tikrit Journal of Pure Science
In this study, we investigate a class of fractional ordering and fractional derivative-based boundary value problems.   and . There are four boundary value requirements in this equation.
Hozan Hilmi, Rebaz Fadhil Mahmood, Siyaman Sidiq Hama   +2 more
doaj   +1 more source

On the existence, uniqueness, stability, and numerical aspects for a novel mathematical model of HIV/AIDS transmission by a fractal fractional order derivative

Journal of Inequalities and Applications
In this study, we explore a mathematical model of the transmission of HIV/AIDS. The model incorporates a fractal fractional order derivative with a power-law type kernel. We prove the existence and uniqueness of a solution for the model and establish the
Yanru Wu, Monireh Nosrati Sahlan, H. Afshari, Maryam Atapour, A. Mohammadzadeh   +4 more
semanticscholar   +1 more source

Existence and uniqueness results for a time-fractional nonlinear diffusion equation

Journal of Mathematical Analysis and Applications, 2018
In this work we consider a nonlinear ordinary integro-differential equation which arises in the studies of time-fractional porous medium equation. The nonlocality of the resulting free-boundary problem is governed by the Erdelyi–Kober operator which ...
Ł. Płociniczak, Mateusz Switala
semanticscholar   +1 more source

From tumor‐centric to ecosystem‐based hypotheses in brain tumor research and care

Molecular Oncology, EarlyView.
Primary brain tumors, whether in adults or children, present a major challenge because of their dramatic prognosis and the ongoing lack of efficient therapeutic approaches. In recent years, a shift has occurred from tumor‐centric concepts to a more holistic view of these tumors as dynamic ecosystems.
Julie Gavard, Flavie Bénard, Eva Billat, Margaux Le Guyon, Victoria Maltret, Laura Merlet, Chloé Astrid Walter, Tony Avril, Eric Chevet   +8 more
wiley   +1 more source

On an Inverse Boundary Value Problem for a Fourth Order Elliptic Equation with Integral Condition

Abstract and Applied Analysis, 2014
An inverse boundary value problem for a fourth order elliptic equation is investigated. At first the initial problem is reduced to the equivalent problem for which the existence and uniqueness theorem of the solution is proved. Further, using these facts,
Yashar T. Mehraliyev
doaj   +1 more source

ON A PROBLEM FOR THE LOADED MIXED TYPE EQUATION WITH FRACTIONAL DERIVATIVE

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016
An existence and an uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been ...
Abdullaev, O.K.
doaj   +1 more source