Results 71 to 80 of about 7,271,767 (336)

Solution to Several Split Quaternion Matrix Equations

Mathematics
Split quaternions have various applications in mathematics, computer graphics, robotics, physics, and so on. In this paper, two useful, real representations of a split quaternion matrix are proposed. Based on this, we derive their fundamental properties.
Xin Liu, Tong Shi, Yang Zhang
doaj   +1 more source

On A Matrix Hypergeometric Differential Equation

مجلة العلوم البحتة والتطبيقية, 2021
In this paper we consider a matrix Hypergeometric differential equation, which are special matrix functions and solution of a specific second order linear differential equation.
Salah Hamd, Faisal Saleh Abdalla, Ahmed Shletiet   +2 more
doaj   +1 more source

Gabor Frame Decomposition of Evolution Operators and Applications

, 2014
We compute the Gabor matrix for Schr\"odinger-type evolution operators. Precisely, we analyze the Heat Equation, already presented in \cite{2012arXiv1209.0945C}, giving the exact expression of the Gabor matrix which leads to better numerical evaluations.
Berra, Michele
core   +1 more source

Molecular characterisation of human penile carcinoma and generation of paired epithelial primary cell lines

Molecular Oncology, EarlyView.
Generation of two normal and tumour (cancerous) paired human cell lines using an established tissue culture technique and their characterisation is described. Cell lines were characterised at cellular, protein, chromosome and gene expression levels and for HPV status.
Simon Broad, Mahmood Hachim, Tom Bertin, Karolina Penderecka, Rifat Hamoudi, Saif Khan, Rui Henrique, Natalie Bergmoser, Manit Arya, Kalle Sipila, Matteo Vietri Rudan, Asif Muneer, Aamir Ahmed   +12 more
wiley   +1 more source

Some non-commuting solutions of the Yang-Baxter-like matrix equation

Open Mathematics, 2020
Let A be a square matrix satisfying A4=A{A}^{4}=A. We solve the Yang-Baxter-like matrix equation AXA=XAXAXA=XAX to find some solutions, based on analysis of the characteristic polynomial of A and its eigenvalues. We divide the problem into small cases so
Zhou Duan-Mei, Vu Hong-Quang
doaj   +1 more source

Symmetries for exact solutions to the nonlinear Schr\"odinger equation

, 2009
A certain symmetry is exploited in expressing exact solutions to the focusing nonlinear Schr\"odinger equation in terms of a triplet of constant matrices.
Aktosun, Tuncay, Busse, Theresa, Demontis, Francesco, van der Mee, Cornelis   +3 more
core   +2 more sources

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

Matrix iteration algorithms for solving the generalized Lyapunov matrix equation

Advances in Difference Equations, 2021
In this paper, we first recall some well-known results on the solvability of the generalized Lyapunov equation and rewrite this equation into the generalized Stein equation by using Cayley transformation.
Juan Zhang, Huihui Kang, Shifeng Li
doaj   +1 more source

Cell surface interactome analysis identifies TSPAN4 as a negative regulator of PD‐L1 in melanoma

Molecular Oncology, EarlyView.
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, Andrea Abel Gutierrez, Imke van Rossum, Cornelia G. Spruijt, Michiel Vermeulen, Guido van Mierlo, Blanca Scheijen, Annemiek B. van Spriel   +7 more
wiley   +1 more source

A new criterion for assessing discriminant validity in variance-based structural equation modeling

, 2015
Discriminant validity assessment has become a generally accepted prerequisite for analyzing relationships between latent variables. For variance-based structural equation modeling, such as partial least squares, the Fornell-Larcker criterion and the ...
J. Henseler, C. Ringle, M. Sarstedt
semanticscholar   +1 more source