Results 81 to 90 of about 1,052,390 (266)
Entanglement and Density Matrix of a Block of Spins in AKLT Model
, 2008 We study a 1-dimensional AKLT spin chain, consisting of spins $S$ in the bulk and $S/2$ at both ends. The unique ground state of this AKLT model is described by the Valence-Bond-Solid (VBS) state.
A. Affleck +68 more
core +1 more source
Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma
Molecular Oncology, EarlyView.This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu +15 more
wiley +1 more source
Demonstratio MathematicaGiven a square matrix AA, we are able to construct numerous equalities involving reasonable mixed operations of AA and its conjugate transpose A∗{A}^{\ast }, Moore-Penrose inverse A†{A}^{\dagger } and group inverse A#{A}^{\#}. Such kind of equalities can
Tian Yongge
doaj +1 more source
Strong Laws for Urn Models with Balanced Replacement Matrices
, 2011 We consider an urn model, whose replacement matrix has all entries nonnegative and is balanced, that is, has constant row sums. We obtain the rates of the counts of balls corresponding to each color for the strong laws to hold.
Dasgupta, Amites, Maulik, Krishanu
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Molecular Oncology, EarlyView.TGF‐β has a complex role in cancer, exhibiting both tumor‐suppressive and tumor‐promoting properties. Using a series of differentiated tumoroids, derived from different stages and mutational background of colorectal cancer patients, we replicate this duality of TGF‐β in vitro. Notably, the atypical but highly aggressive KRASQ22K mutation rendered early‐
Theresia Mair +17 more
wiley +1 more source
Molecular Oncology, EarlyView.Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu +11 more
wiley +1 more source
Representations for the Drazin inverses of block matrices
MATEC Web of Conferences, 2016 In this paper, we investigate representations of the Drazin inverse of a 2 × 2 block matrix. The Drazin inverse of a matrix is very important in various applied mathematical fields like machinery and automation, singular differential equations. We give a
Guo Li, Wang Jie, Du Wenming
doaj +1 more source
Padé approximation for the exponential of a block triangular matrix
Linear Algebra and its Applications, 2000 AbstractIn this work, we obtain improved error bounds for Padé approximations to eA when A is block triangular. As a result, improved scaling strategies ensue which avoid some common overscaling difficulties.
L. DIECI, PAPINI, ALESSANDRA
openaire +2 more sources
Jost asymptotics for matrix orthogonal polynomials on the real line
, 2011 We obtain matrix-valued Jost asymptotics for block Jacobi matrices under an L1-type condition on Jacobi parameters, and give a necessary and sufficient condition for an analytic matrix-valued function to be the Jost function of a block Jacobi matrix with
Kozhan, Rostyslav
core
Molecular Oncology, EarlyView.We identified adaptor protein ShcD as upregulated in triple‐negative breast cancer and found its expression to be correlated with reduced patient survival and increased invasion in cell models. Using a proteomic screen, we identified novel ShcD binding partners involved in EGFR signaling pathways.
Hayley R. Lau +11 more
wiley +1 more source