Results 71 to 80 of about 2,878,474 (274)
A context‐dependent modulatory role for eIF6 in acquired resistance to vemurafenib in melanoma
FEBS Letters, EarlyView.Acquired resistance to vemurafenib upregulates the translation factor eIF6 in melanoma cells. Silencing eIF6 in resistant cells reduces proliferation and partially restores drug sensitivity, whereas its overexpression increases sensitivity across melanoma lines regardless of BRAF status, via modulation of mTOR, S6K, and MAPK signaling.
George Kyriakopoulos +9 more
wiley +1 more source
On the Construction of the Trajectory of a Dynamical System with Initial Data on the Hyperplanes
Известия Иркутского государственного университета: Серия "Математика", 2015 In this paper we consider the problems of correct solvability of the initial value problem for a class of differential equations in Banach spaces. We apply the method of reduction of degenerate differential equation to the regular problems using the ...
O.A. Romanova, N.A. Sidorov
doaj
On the initial value problem for a partial differential equation with operator coefficients
International Journal of Mathematics and Mathematical Sciences, 1980 In the present work it is studied the initial value problem for an equation of the form L∂ku∂tk=∑j=1kLj∂k−ju∂tk−j,where L is an elliptic partial differential operator and (Lj:j=1,…,k) is a family of partial differential operators with bounded operator ...
Mahmoud M. El-Borai
doaj +1 more source
Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research
FEBS Letters, EarlyView.What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley +1 more source
Positive Solutions of Fractional Differential Equation with -Laplacian Operator
Abstract and Applied Analysis, 2013 The basic assumption of ecological economics is that resource allocation exists social optimal solution, and the social optimal solution and the optimal solution of enterprises can be complementary.
Teng Ren, Xiaochun Chen
doaj +1 more source
Universal Journal of Mathematics and Applications, 2018 In this note, we set up existence, uniqueness as well as the stability of a special class of fractional differential equation (FDE) with Hilfer-Katugampola fractional differential operator (HKFDO). The outcomes are given by employing the Schaefer's fixed
Rabha Ibrahim +2 more
doaj +1 more source
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular 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
Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
core +2 more sources
Advances in Difference Equations, 2020 Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators ...
Rabha W. Ibrahim +2 more
doaj +1 more source
Evolution equations for abstract differential operators
Journal of Mathematical Analysis and Applications, 2002 The author considers evolution equations (EQs) of the form \[ \begin{aligned} u'(t) &= \sum_{|\mu|\leq m} a_\mu(t) A^\mu u(t)+ f(t),\quad 0\leq t\leq T,\\ u(0) &= x,\end{aligned} \] where \(A^\mu= A^{\mu_1}_1\cdots A^{\mu_n}_n\) and \(iA_j\) are commuting generators of bounded \(C_0\)-groups on a Banach space \(X\).
openaire +1 more source