Study of a cyclic system of difference equations with maximum
In this paper we study the behaviour of the solutions of the following cyclic system of difference equations with maximum: \[ \begin{split} x_i(n+1)&=\max\left\{A_i,\displaystyle{\frac{x_i(n)}{x_{i+1}(n-1)}}\right\},\qquad i=1,2,\dots,k-1,\\ x_k(n+1 ...
Anastasios Stoikidis +1 more
doaj +1 more source
Exploiting metabolic adaptations to overcome dabrafenib treatment resistance in melanoma cells
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 +17 more
wiley +1 more source
Calculations of the thermodynamic characteristics of air flows were carried out when several local sources were heated by the underlying surface. The basic mathematical model is the complete system of Navier-Stokes equations with constant coefficients of
D. D. Barannikova, A. G. Obukhov
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Regularity estimates up to the boundary for elliptic systems of difference equations [PDF]
Regularity estimates up to the boundary for solutions of elliptic systems of finite difference equations were proved. The regularity estimates, obtained for boundary fitted coordinate systems on domains with smooth boundary, involve discrete Sobolev ...
Bube, K. P. +2 more
core +1 more source
Third-order integrable difference equations generated by a pair of second-order equations
We show that the third-order difference equations proposed by Hirota, Kimura and Yahagi are generated by a pair of second-order difference equations. In some cases, the pair of the second-order equations are equivalent to the Quispel-Robert-Thomson(QRT)
Daisuke Takahashi +6 more
core +1 more source
Cell surface interactome analysis identifies TSPAN4 as a negative regulator of PD‐L1 in melanoma
Using cell surface proximity biotinylation, we identified tetraspanin TSPAN4 within the PD‐L1 interactome of melanoma cells. TSPAN4 negatively regulates PD‐L1 expression and lateral mobility by limiting its interaction with CMTM6 and promoting PD‐L1 degradation.
Guus A. Franken +7 more
wiley +1 more source
On the solutions of a three-dimensional system of difference equations
In this paper, we obtain the explicit solutions of the three-dimensional system of difference equations with multiplicative terms, which extended some results in literature.
Yasin Yazlık +2 more
doaj
Behavior of a Competitive System of Second-Order Difference Equations
We study the boundedness and persistence, existence, and uniqueness of positive equilibrium, local and global behavior of positive equilibrium point, and rate of convergence of positive solutions of the following system of rational difference equations ...
Q. Din, T. F. Ibrahim, K. A. Khan
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LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Product-type system of difference equations of second-order solvable in closed form
This paper presents solutions of the following second-order system of difference equations $$x_{n+1}=\frac{y_n^a}{z_{n-1}^b},\qquad y_{n+1}=\frac{z_n^c}{x_{n-1}^d},\qquad z_{n+1}=\frac{x_n^f}{y_{n-1}^g},\qquad n\in N_0,$$ where $a,b,c,d,f,g\in Z$, and ...
Stevo Stevic
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