Results 31 to 40 of about 4,643,635 (279)

Dynamics and Expression of Solution of a Sixth Order Difference Equation

Journal of Mathematical Sciences and Modelling, 2021
This paper deals with the solution behavior and periodic nature of the solutions of the difference equation $$ s_{n+1}=\alpha s_{n}+\dfrac{\beta s_{n}s_{n-4}}{\gamma s_{n-4}+\delta s_{n-5} },\;\;\;n=0,1,...
Abdul Khaliq
doaj   +1 more source

Artificial molecular machines and motors—Design and control of nanoscale motion

FEBS Letters, EarlyView.
Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley   +1 more source

Stability of the third order rational difference equation

MANAS: Journal of Engineering, 2020
In this paper, we examine the global stability and boundedness of the difference equation \[ x_{n+1}=\frac{\alpha x_{n}x_{n-1}+\beta x_{n}x_{n-2}}{\gamma {x}_{n-1}+\theta {x}_{n-2}}\]where the initial conditions are non zero real numbers and are ...
Mehmet Emre Erdoğan
doaj  

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

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

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
openaire   +14 more sources

Hexagonal vs. Rectilinear Grids for Explicit Finite Difference Schemes for the Two-dimensional Wave Equation [PDF]

, 2013
Finite difference schemes for the 2-D wave equation operating on hexagonal grids and the accompanyingnumerical dispersion properties have received little attention in comparison to schemes operating on rectilinear grids.
Stefan Bilbao, Brian Hamilton, Bilbao, Stefan, Hamilton, Brian   +3 more
core   +1 more source

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

Epigenetic heterogeneity and plasticity in therapy‐induced tumor states through single‐cell multi‐omics

Molecular Oncology, EarlyView.
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim, Hwiyeong Lee, Jin Hong, Daechan Park   +3 more
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