R-matrix for a geodesic flow associated with a new integrable peakon equation
We use the r-matrix formulation to show the integrability of geodesic flow on an $N$-dimensional space with coordinates $q_k$, with $k=1,...,N$, equipped with the co-metric $g^{ij}=e^{-|q_i-q_j|}\big(2-e^{-|q_i-q_j|}\big)$.
Holm, Darryl D., Qiao, Zhijun
core
Activation of the mitochondrial protein OXR1 increases pSyn129 αSynuclein aggregation by lowering ATP levels and altering mitochondrial membrane potential, particularly in response to MSA‐derived fibrils. In contrast, ablation of the ER protein EMC4 enhances autophagic flux and lysosomal clearance, broadly reducing α‐synuclein aggregates.
Sandesh Neupane +11 more
wiley +1 more source
A Real Representation Method for Solving Yakubovich-j-Conjugate Quaternion Matrix Equation
A new approach is presented for obtaining the solutions to Yakubovich-j-conjugate quaternion matrix equation X−AX^B=CY based on the real representation of a quaternion matrix. Compared to the existing results, there are no requirements on the coefficient
Caiqin Song +3 more
doaj +1 more source
This paper reveals how human lactoferrin–albumin fusion (hLF‐HSA) potently suppresses lung adenocarcinoma cell migration. hLF‐HSA upregulates NHE7, leading to Golgi alkalization, disruption of the Golgi secretome, downregulation of MMP1, and reversal of EMT. These findings suggest a novel Golgi‐targeting strategy to suppress cancer cell migration.
Hana Nopia +3 more
wiley +1 more source
The structure of solutions of the matrix linear unilateral polynomial equation with two variables
We investigate the structure of solutions of the matrix linear polynomial equation $A(\lambda)X(\lambda)+B(\lambda)Y(\lambda)=C(\lambda),$ in particular, possible degrees of the solutions.
N.S. Dzhaliuk, V.M. Petrychkovych
doaj +1 more source
A robust zeroing neural network and its applications to dynamic complex matrix equation solving and robotic manipulator trajectory tracking. [PDF]
Jin J, Zhao L, Chen L, Chen W.
europepmc +1 more source
The Lyapunov matrix equation. Matrix analysis from a computational perspective
Decay properties of the solution $X$ to the Lyapunov matrix equation $AX + X A^T = D$ are investigated. Their exploitation in the understanding of equation matrix properties, and in the development of new numerical solution strategies when $D$ is not low
Simoncini, Valeria
core
Derivation and characterization of retinal pigment epithelium from urine‐derived iPSCs
Age‐related macular degeneration causes vision loss via RPE dysfunction and loss. Traditional iPSC therapies rely on invasive biopsies, limiting scalability. Here, we utilize urine‐derived stem cells as an accessible source to generate u‐iPSCs, successfully differentiated into pigmented RPE. This “Urine‐to‐Retina” platform provides a promising path for
Daniella Beiner +7 more
wiley +1 more source
Variable s-step CGNR method for solving the matrix equation AXB = C arising in image processing
The matrix equation $ {AXB} = {C}$ is widely utilized in signal and image processing. In this paper, we present a variable s-step algorithm based on the CGNR method for solving this matrix equation by employing normalization techniques.
Hojjatollah Shokri Kaveh +1 more
doaj +1 more source
Nonrecursive solution for the discrete algebraic Riccati equation and X + A*X-1A=L
In this paper, we present two new algebraic algorithms for the solution of the discrete algebraic Riccati equation. The first algorithm requires the nonsingularity of the transition matrix and is based on the solution of a standard eigenvalue problem for
Adam Maria, Assimakis Nicholas
doaj +1 more source

