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On solutions of differential and functional equations Final report [PDF]

Solutions of differential and functional ...
Proctor, T. G., Suber, H. H.
core   +1 more source

Molecular characterisation of human penile carcinoma and generation of paired epithelial primary cell lines

Molecular Oncology, EarlyView.
Generation of two normal and tumour (cancerous) paired human cell lines using an established tissue culture technique and their characterisation is described. Cell lines were characterised at cellular, protein, chromosome and gene expression levels and for HPV status.
Simon Broad, Mahmood Hachim, Tom Bertin, Karolina Penderecka, Rifat Hamoudi, Saif Khan, Rui Henrique, Natalie Bergmoser, Manit Arya, Kalle Sipila, Matteo Vietri Rudan, Asif Muneer, Aamir Ahmed   +12 more
wiley   +1 more source

Oscillation Criteria for Second-Order Delay, Difference, and Functional Equations

International Journal of Differential Equations, 2010
Consider the second-order linear delay differential equation x′′(t)+p(t)x(τ(t))=0, t≥t0, where p∈C([t0,∞),ℝ+), τ∈C([t0,∞),ℝ), τ(t) is nondecreasing, τ(t)≤t for t≥t0 and limt→∞τ(t)=∞, the (discrete analogue) second-order difference equation Δ2x(n)+p(n)x(τ(
L. K. Kikina, I. P. Stavroulakis
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 $1<\beta<2$

Boundary 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, Xiao-Bao Shu, Yongjin Li, Fei Xu   +3 more
doaj   +1 more source

Subexponential Growth Rates in Functional Differential Equations [PDF]

, 2014
This paper determines the rate of growth to infinity of a scalar autonomous nonlinear functional differential equation with finite delay, where the right hand side is a positive continuous linear functional of $f(x)$. We assume $f$ grows sublinearly, and
D. Patterson, Denis, John A. D. Appleby
core  

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

Resolvent of nonautonomous linear delay functional differential equations

Nonautonomous 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

Exploiting metabolic adaptations to overcome dabrafenib treatment resistance in melanoma cells

Molecular Oncology, EarlyView.
We show that dabrafenib‐resistant melanoma cells undergo mitochondrial remodeling, leading to elevated respiration and ROS production balanced by stronger antioxidant defenses. This altered redox state promotes survival despite mitochondrial damage but renders resistant cells highly vulnerable to ROS‐inducing compounds such as PEITC, highlighting redox
Silvia Eller, Susanne Ebner, Carmen Haselrieder, Julia K. Günther, Astrid Drasche, Sophie Strich, Chiara Volani, Andrea Medici, Aleksandar Nikolajevic, Alex Deltedesco, Johannes E. Sigmund, Michael J. Blumer, Martin Hermann, Johanna Vanacker, Gerald Brandacher, Eduard Stefan, Omar Torres‐Quesada, Jakob Troppmair   +17 more
wiley   +1 more source

LINC01116, a hypoxia‐lncRNA marker of pathological lymphangiogenesis and poor prognosis in lung adenocarcinoma

Molecular Oncology, EarlyView.
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola, Rafael Lopes Goncalves, Marin Truchi, Caroline Lacoux, Célia Scribe, Hugo Cadis, Laetitia Guardini, Sophie Bekisz, Marius Ilié, Paul Hofman, Georges Vassaux, Bernard Mari, Roger Rezzonico   +12 more
wiley   +1 more source

A Partial Functional Differential Equation

Journal of Mathematical Analysis and Applications, 2001
The author of this interesting paper investigates the partial functional differential equation \[ \partial u(x,t)\partial t =k \partial^2 u(x,t)\partial x^2+ru(x,t-T)[1-u(x,t)], \;\;t\geq 0, \;\;x\in [{}0,\pi ]{} \] under the boundary condition \(u(0,t)=u(\pi ,t)=0\) (\(t>0\)) and \(u(x,s)=\phi (x,s)\), \(-T\leq s\leq 0\), \(0\leq x\leq \pi \).
openaire   +2 more sources