Results 81 to 90 of about 13,564,364 (338)
Splittable Lie Groups and Lie Algebras
Let us call a finite-dimensional Lie algebra \(\mathfrak g\) over a field of characteristic zero Malcev splittable if \(\operatorname {ad}{\mathfrak g}\) is splittable in the sense that for each element of \(\operatorname {ad}{\mathfrak g}\) the semisimple and nilpotent Jordan component belong to \(\operatorname {ad}{\mathfrak g}\).
openaire +3 more sources
Decrypting cancer's spatial code: from single cells to tissue niches
Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik+4 more
wiley +1 more source
Mitochondria contain two mitoribosome rescue factors, ICT1 and MTRFR (C12orf65). ICT1 also functions as a mitoribosomal protein in mice and humans, and its loss is lethal. Although Mtrfr knockout mice could not be generated, knockout zebrafish lines for ict1 and mtrfr were established.
Nobukazu Nameki+11 more
wiley +1 more source
CD9‐association with PIP2 areas is regulated by a CD9 salt bridge
The tetraspanin CD9 has an intracellular salt bridge. If CD9 opens, open‐CD9 moves from PIP2‐rich areas to regions populated by its interaction partner EWI‐2. Hence, the state of the salt bridge regulates the distribution of CD9 and by this CD9‐EWI‐2 complex formation.
Yahya Homsi+2 more
wiley +1 more source
Reduction of Dynamics with Lie Group Analysis
This paper is mainly a review concerning singular perturbation methods by means of Lie group analysis which has been presented by the author. We make use of a particular type of approximate Lie symmetries in those methods in order to construct reduced ...
M. Iwasa
doaj +1 more source
CSF Biomarker‐Based Cognitive Trajectories in Parkinson's Disease‐Subjective Cognitive Decline
ABSTRACT Objective Cognitive complaints without objective cognitive impairment in Parkinson's Disease, termed Parkinson's Disease‐Subjective Cognitive Decline (PD‐SCD), have been associated with cognitive decline. However, its progression is heterogeneous, highlighting the need for improved identification of patients at greater risk for deterioration ...
Jon Rodriguez‐Antiguedad+7 more
wiley +1 more source
The dynamic of a Lie group endomorphism
For a given endomorphism φ on a connected Lie group G this paper studies several subgroups of G that are intrinsically connected with the dynamic behavior of φ.
Ayala Víctor+2 more
doaj +1 more source
Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group H4
We show that the WZW model on the Heisenberg Lie group H4 has Poisson–Lie symmetry only when the dual Lie group is A2⊕2A1. In this way, we construct the mutual T-dual sigma models on Drinfel'd double generated by the Heisenberg Lie group H4 and its dual ...
A. Eghbali, A. Rezaei-Aghdam
doaj +1 more source
Genetic Diversity and Expanded Phenotypes in Dystonia: Insights From Large‐Scale Exome Sequencing
ABSTRACT Objective Dystonia is one of the most prevalent movement disorders, characterized by significant clinical and etiological heterogeneity. Despite considerable heritability (~25%), the etiology in most patients remains elusive. Moreover, understanding correlations between clinical manifestations and genetic variants has become increasingly ...
Mirja Thomsen+47 more
wiley +1 more source
On the Use of Lie Group Time Integrators in Multibody Dynamics
This paper proposes a family of Lie group time integrators for the simulation of flexible multibody systems. The method provides an elegant solution to the rotation parametrization problem.
O. Bruls, A. Cardona
semanticscholar +1 more source