Results 51 to 60 of about 19,876 (286)

Cell wall target fragment discovery using a low‐cost, minimal fragment library

FEBS Letters, EarlyView.
LoCoFrag100 is a fragment library made up of 100 different compounds. Similarity between the fragments is minimized and 10 different fragments are mixed into a single cocktail, which is soaked to protein crystals. These crystals are analysed by X‐ray crystallography, revealing the binding modes of the bound fragment ligands.
Kaizhou Yan, Mathew Stanley, Olawale Raimi, Andrew T. Ferenbach, Helge C Dorfmueller, Daan M. F. van Aalten   +5 more
wiley   +1 more source

Static Attitude Determination Using Convolutional Neural Networks

Sensors, 2021
The need to estimate the orientation between frames of reference is crucial in spacecraft navigation. Robust algorithms for this type of problem have been built by following algebraic approaches, but data-driven solutions are becoming more appealing due ...
Guilherme Henrique dos Santos, Laio Oriel Seman, Eduardo Augusto Bezerra, Valderi Reis Quietinho Leithardt, André Sales Mendes, Stéfano Frizzo Stefenon   +5 more
doaj   +1 more source

Eigenvalue correlations in non-Hermitean symplectic random matrices

, 2002
Correlation function of complex eigenvalues of N by N random matrices drawn from non-Hermitean random matrix ensemble of symplectic symmetry is given in terms of a quaternion determinant. Spectral properties of Gaussian ensembles are studied in detail in
de Bruijn N G, Di Francesco F, Dyson F J, Eugene Kanzieper, Eynard B, Fyodorov Y V, Ginibre J, Kanzieper E, Kolesnikov A V, Mahoux G, Mehta M L, Nishigaki S M, Szegö G, Tracy C A, Verbaarchot J J M   +14 more
core   +1 more source

Roth’s solvability criteria for the matrix equations AX - XB^ = C and X - AXB^ = C over the skew field of quaternions with aninvolutive automorphism q ¿ qˆ [PDF]

, 2016
The matrix equation AX-XB = C has a solution if and only if the matrices A C 0 B and A 0 0 B are similar. This criterion was proved over a field by W.E. Roth (1952) and over the skew field of quaternions by Huang Liping (1996). H.K. Wimmer (1988)
Futorny, Vyacheslav, Klymchuk, Tetiana, Sergeichuk, Vladimir V.   +2 more
core   +3 more sources

Factorization of matrices of quaternions

Expositiones Mathematicae, 2012
We review known factorization results in quaternion matrices. Specifically, we derive the Jordan canonical form, polar decomposition, singular value decomposition, the QR factorization. We prove there is a Schur factorization for commuting matrices, and from this derive the spectral theorem.
openaire   +2 more sources

Structural biology of ferritin nanocages

FEBS Letters, EarlyView.
Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley   +1 more source

BIPARTITE GRAPH ASSOCIATED WITH ELEMENTS AND COSETS OF SUBRINGS OF FINITE RINGS

Barekeng, 2023
Let  be a finite ring. The bipartite graph associated to elements and cosets of subrings of  is a simple undirected graph  with vertex set , where  is the set of all subrings of , and two vertices  and  are adjacent if and only if  In this study, we ...
Hubbi Muhammad, Niswah Qonita, R A Wahyu Fibriyanti, Yeni Susanti   +3 more
doaj   +1 more source

Matrices, idealisers and integer quaternions

Journal of Algebra, 1992
Let \(H\) be the ring of quaternions with integer coefficients and let \(n\) be an integer. Set \(T(n) = \left({H\atop H} {nH\atop H}\right)\). The following test problem was posed by the author [in Math. Proc. Camb. Philos. Soc. 105, No. 1, 67--72 (1989; Zbl 0668.16011)]. Is \(T(3)\) isomorphic to a full \((2,2)\)-matrix ring over some ring \(W\), and
openaire   +1 more source

Tau acetylation at K331 has limited impact on tau pathology in vivo

FEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto, Yukio Matsuba, Mika Takahashi, Takaomi C. Saido   +3 more
wiley   +1 more source

Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices

Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2019
In this paper, we consider one of the most knownFibonacci matrix Qand the Fibonacciquaternion matrix MQFn, where Qnis the n-th Fibonacci quaternion.In particular we define some new quaternion matrices.
Bahar Demirtürk Bitim
doaj   +1 more source