Results 81 to 90 of about 58,551 (261)

TRANSCENDENTAL ENTIRE SOLUTIONS OF COMPLEX NONLINEAR PARTIAL DIFFERENTIAL DIFFERENCE EQUATIONS IN C^2

Poincare Journal of Analysis and Applications
Summary: In this paper, we explore the existence and forms of transcendental entire solutions of some second order partial differential-difference equations \[ f(z)^2+2\alpha f(z)\{L(z,f)+P_{L(f(z))}\}+\{L(z,f)+P_{L(f(z))}\}^2=e^{g(z)}, \] \[ f(z)^2+2\alpha f(z)\{a_1f(z+c)+P_{L(f(z+c))}\}+\{a_1f(z+c)+P_{L(f(z+c))}\}^2=e^{g(z)}, \] and \[ P^2_{L(f(z ...
Banerjee, Abhijit, Sarkar, Jhuma, Haldar, Gautam   +2 more
openaire   +2 more sources

Results Relating to the Existence of Solutions for Partial Differential-difference Fermat Type Equations in Cn

, 2023
Abstract Our study looks into the non-existence of transcendental entire solutions for partial differential-difference equation of Fermat typef(z)∂f(z)∂z1+∂f(z)∂z2+ .... +∂f(z)∂znm+ f(z + c)l = 1,where l, m are positive integers and c = (c1, c2, ...., cn) ∈ Cn\{0} with finite order constraintin Cn.
RANA MONDAL, IMRUL KAISH
openaire   +1 more source

CD47 promotes mitogen‐activated protein kinase and epithelial‐to‐mesenchymal transition molecular programs to drive prometastatic phenotypes in non‐small cell lung cancer

Molecular Oncology, EarlyView.
Beyond its role in immune evasion, this study identified that CD47 drives tumor‐intrinsic signaling in non‐small cell lung cancer (NSCLC). Transcriptomic profiling and functional studies revealed that CD47 regulates cell adhesion, migration, and metastasis through an ERK–EMT signaling axis.
Asa P.Y. Lau, Lilian G. Zhai, Ryunosuke Hoshi, Zackary Rousseau, Abraam Zakhary, Yin Fang Wu, Rola M. Saleeb, Heyu Ni, Kelsie L. Thu   +8 more
wiley   +1 more source

A Proposed Stochastic Finite Difference Approach Based on Homogenous Chaos Expansion

Journal of Applied Mathematics, 2013
This paper proposes a stochastic finite difference approach, based on homogenous chaos expansion (SFDHC). The said approach can handle time dependent nonlinear as well as linear systems with deterministic or stochastic initial and boundary conditions. In
O. H. Galal
doaj   +1 more source

Heterozygous loss‐of‐function alleles associate the conserved 3′‐5′ exoribonuclease EXOSC10 with hypersensitivity to the anticancer drug 5‐fluorouracil

Molecular Oncology, EarlyView.
EXOSC10, an essential nuclear RNA exosome‐associated 3′‐5′ exoribonuclease, is inhibited by the anticancer drug 5‐fluorouracil (5‐FU), and EXOSC10 depletion increases 5‐FU sensitivity. The colon‐cancer variant EXOSC10S402T, located in a proteolysis motif, is stable and nuclear but nonfunctional in vivo.
Radhika Sain, Yann Le Page, Frédéric Percevault, Emmanuelle Becker, Luc Negroni, Almudena Fernandez, Marta Cantero, Diego Muñoz‐Santos, Lluís Montoliu, Cyrille Garnier, Michael Primig   +10 more
wiley   +1 more source

Absolutely stable difference scheme for the delay partial differential equation with involution and Robin boundary condition

Қарағанды университетінің хабаршысы. Математика сериясы
This paper examines the initial value problem for a third-order delay partial differential equation with involution and Robin boundary condition. We construct a first-order accurate difference scheme to obtain the numerical solution for this equation ...
A. Ashyralyev, S. Ibrahim, E. Hincal
doaj   +1 more source

Hijacking emergency granulopoiesis: Neutrophil ontogeny and reprogramming in cancer

Molecular Oncology, EarlyView.
Neutrophils are highly plastic innate immune cells; their functions in cancer extend beyond the tumour microenvironment. This Review summarises current understanding of neutrophil maturation and heterogeneity and highlights tumour‐induced granulopoiesis as a systemic programme that expands immature, immunosuppressive neutrophils via tumour‐derived ...
Gabriela Marinescu, Yi Feng
wiley   +1 more source

Constructing symmetries and finding a first integral of a system of partial differential-difference equations

Differential Equations, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Removing the Correlation Term in Option Pricing Heston Model: Numerical Analysis and Computing

Abstract and Applied Analysis, 2013
This paper deals with the numerical solution of option pricing stochastic volatility model described by a time-dependent, two-dimensional convection-diffusion reaction equation.
R. Company, L. Jódar, M. Fakharany, M.-C. Casabán   +3 more
doaj   +1 more source

Interaction of HS1BP3 with cortactin modulates TKS5 localisation, cell secretion and cancer malignancy

Molecular Oncology, EarlyView.
Here, we demonstrate that HS1BP3 interacts with Cortactin through a proline‐rich region (PRR3.1) and show that this interaction, and HS1BP3 itself, promote cancer cell proliferation and invasion. Inhibition of this interaction leads to build‐up of TKS5 in multivesicular endosomes and altered secretion of CD63 and CD9, providing an explanation for the ...
Arja Arnesen Løchen, Kristiane Søreng, Chiara Veroni, Laura Trachsel‐Moncho, Nagham Asp, Robin Gaupset, Lars Gustav Lyckander, Helene Knævelsrud, Lars Eftang, Anne Simonsen   +9 more
wiley   +1 more source