Results 31 to 40 of about 35,763 (256)

Invariants for Difference Equations and Systems of Difference Equations of Rational Form

Journal of Mathematical Analysis and Applications, 1997
The author consideres the system of difference equations \[ x_{n+1} = \frac{a_n y_n + A}{x_{n-1}}, \qquad y_{n+1} = \frac{b_n x_n + A}{y_{n-1}}, n = 0, 1,\dots\tag{1} \] where the coefficients \(\{a_n\}\) and \(\{b_n\}\) are periodic sequences of positive numbers of period 2 and \(A\) is a positive constant. Some invariants for system (1) are presented.
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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

On Invariants for Difference Equations and Systems of Difference Equations of Rational Form

Journal of Mathematical Analysis and Applications, 1999
The author generalizes results of \textit{C. J. Schinas} [J. Math. Anal. Appl. 216, No. 1, 164-179 (1997; Zbl 0889.39006)] on invariants of difference equations of rational form to second- and third-order autonomous and nonautonomous difference equations.
openaire   +2 more sources

Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining

Molecular Oncology, EarlyView.
IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis, Jack V. Mills, Wojciech Niedzwiedz, Valentine M. Macaulay   +3 more
wiley   +1 more source

Rational Solutions of Difference Painlevé Equations

Tokyo Journal of Mathematics, 2012
The author captures all rational solutions of some difference Painlevé equations of PI and PII types. For non-autonomous cases it is shown that all rational solutions of the difference PII equations are generated by successive applications of auto-Bäcklund transformations to the seed solution vanishing identically, and that other equations of PI type ...
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On the System of Nonlinear Rational Difference Equations

, 2013
{"references": ["M.P. Hassell and H.N. Comins, Discrete time models for two-species\ncompetition, Theoretical Population Biology, Vol. 9, no. 2,1976, pp.\n202\u2013221.", "J.E. Franke and A.A. Yakubu, Mutual exclusion versus coexistence for\ndiscrete competitive Systems, Journal of Mathematical Biology, Vol.30,\nno. 2,1991, pp.
Qianhong Zhang, Wenzhuan Zhang
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MITF maintains genome stability in nonmelanocyte lineages

Molecular Oncology, EarlyView.
MITF is essential for melanocyte survival and acts as an oncogene in 10%–20% of melanomas. We show that MITF depletion causes genome instability in nonmelanocytic cells, leading to LATS2‐mediated P53 activation, cell cycle arrest, and apoptosis. This study highlights the role of MITF as a genome maintenance factor beyond the melanocyte lineage. Created
Drifa H. Gudmundsdottir, Adrián López García de Lomana, Thejus B. Venkatesh, Kritika Kirty, Snaevar Sigurdsson, Linda Vidarsdottir, Ramile Dilshat, Erla Sveinbjornsdottir, Snaedis Ragnarsdottir, Daniel H Magnusson, Maria R. Bustos, Eirikur Steingrimsson, Thorkell Gudjonsson, Stefan Sigurdsson   +13 more
wiley   +1 more source

Rate of convergence of solutions of rational difference equation of second order

Advances in Difference Equations, 2004
We investigate the rate of convergence of solutions of some special cases of the equation xn+1=(α+βxn+γxn−1)/(A+Bxn+Cxn−1), n=0,1,…, with positive parameters and nonnegative initial conditions.
M. R. S. Kulenović, S. Kalabušić   +1 more
doaj   +2 more sources

Global Behavior of a Rational Difference Equation

四川大学学报. 自然科学版, 2018
In this paper, we determine the forbidden set, introduce an explicit formula for the solutions, and discuss the global behavior of a rational difference equation x_(n+1)=(x_n x_(n-k))/(αx_n+βx_(n-(k+1)) ), where inter k∈N, inter n∈N∪{0},α,β are real ...
CHEN Wei-Wei
doaj  

Analysis of the Convergence and Periodicity of a Rational Difference Equation

Journal of Mathematical Sciences and Modelling, 2019
The exact solutions of most difference equations cannot be obtained sometimes. This can be attributed to the fact that there is no a specific approach from which one can find the exact solution.
Mohammed Almatrafi, Marwa Alzubaidi
doaj   +1 more source