Results 171 to 180 of about 13,830,771 (328)

Unification of integrable q-difference equations

Electronic Journal of Differential Equations, 2015
This article presents a unifying framework for q-discrete equations. We introduce a generalized q-difference equation in Hirota bilinear form and develop the associated three-q-soliton solutions which are described in polynomials of power functions ...
Burcu Silindir, Duygu Soyoglu
doaj  

XIV. On the general equation of differences of the second order [PDF]

, 1884
Thomas Muir
openalex   +1 more source

An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation [PDF]

Journal of Computational and Applied Mathematics, 2017
Kelong Cheng, Wenqiang Feng, Cheng Wang, S. Wise   +3 more
semanticscholar   +1 more source

Unraveling LINE‐1 retrotransposition in head and neck squamous cell carcinoma

Molecular Oncology, EarlyView.
The novel RetroTest method allows the detection of L1 activation in clinical samples with low DNA input, providing global L1 activity and the identification of the L1 source element. We applied RetroTest to a real‐world cohort of HNSCC patients where we reported an early L1 activation, with more than 60% of T1 patients showing L1 activity.
Jenifer Brea‐Iglesias, Ana Oitabén, Sonia Zumalave, Bernardo Rodriguez‐Martin, María Gallardo‐Gómez, Martín Santamarina, Ana Pequeño‐Valtierra, Laura Juaneda‐Magdalena, Ramón García‐Escudero, José Luis López‐Cedrún, Máximo Fraga, José M. C. Tubio, Mónica Martínez‐Fernández   +12 more
wiley   +1 more source

Solution of numerical equations of higher degree by insertion of arithmetic series of differences. [I.] [PDF]

, 1895
Jan Koloušek
openalex   +1 more source

Simultaneous inhibition of TRIM24 and TRIM28 sensitises prostate cancer cells to antiandrogen therapy, decreasing VEGF signalling and angiogenesis

Molecular Oncology, EarlyView.
TRIM24 and TRIM28 are androgen receptor (AR) coregulators which exhibit increased expression with cancer progression. Both TRIM24 and TRIM28 combine to influence the response of castrate‐resistant prostate cancer (CRPC) cells to AR inhibitors by mediating AR signalling, regulation of MYC and upregulating VEGF to promote angiogenesis. Castrate‐resistant
Damien A. Leach, Nilesh Chatterjee, Kellie Spahr, Gilberto Serrano de Almeida, Anabel Varela‐Carver, Taimur T. Shah, Mathias Winkler, Hashim U. Ahmed, Charlotte L. Bevan   +8 more
wiley   +1 more source

Oscillatory properties for Emden–Fowler type difference equations with oscillating coefficients

Results in Applied Mathematics
In this paper, we give new criteria on the oscillation of the fourth-order Emden–Fowler type delay difference equation with oscillating coefficients of the form ΔWn+rnyn−τβ=0,n≥n0,where Wn=pnΔ3vnα and vn=yn+qnyn−σ.
Yaşar Bolat, Murat Gevgeşoğlu, George E. Chatzarakis   +2 more
doaj  

Global attractivity in a nonlinear difference equation

Electronic Journal of Differential Equations, 2007
In this paper, we study the asymptotic behavior of positive solutions of the nonlinear difference equation $$ x_{n+1}=x_n f(x_{n-k}), $$ where $f:[0,infty)o(0, infty)$ is a unimodal function, and $k$ is a nonnegative integer.
Chuanxi Qian, Yijun Sun
doaj  

A duality for certain difference equations [PDF]

, 1939
E. T. Bell
openalex   +1 more source

EMT‐associated bias in the Parsortix® system observed with pancreatic cancer cell lines

Molecular Oncology, EarlyView.
The Parsortix® system was tested for CTC enrichment using pancreatic cancer cell lines with different EMT phenotypes. Spike‐in experiments showed lower recovery of mesenchymal‐like cells. This was confirmed with an EMT‐inducible breast cancer cell line.
Nele Vandenbussche, Renske Imschoot, Béatrice Lintermans, Lode Denolf, Joachim Taminau, Charlotte Fieuws, Geert Berx, Kris Gevaert, Kathleen B. M. Claes   +8 more
wiley   +1 more source