Results 81 to 90 of about 199,468 (335)
Automophisms of Nil-Triangular Subrings of Algebras Chevalley Type $G_2$ Over Integral Domain. I
Известия Иркутского государственного университета: Серия "Математика"Let $N\Phi(K)$ be the nil-triangular subalgebra of the Chevalley algebra over an associative commutative ring $K$ with the identity associated with a root system $\Phi$.
A. V. Kazakova
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Decrypting cancer's spatial code: from single cells to tissue niches
Molecular Oncology, EarlyView.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
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CD9‐association with PIP2 areas is regulated by a CD9 salt bridge
FEBS Open Bio, EarlyView.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
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CSF Biomarker‐Based Cognitive Trajectories in Parkinson's Disease‐Subjective Cognitive Decline
Annals of Clinical and Translational Neurology, EarlyView.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
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The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas
Symmetry, Integrability and Geometry: Methods and Applications, 2013 To every Darboux integrable system there is an associated Lie group G which is a fundamental invariant of the system and which we call the Vessiot group.
Mark E. Fels, Ian M. Anderson
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Reduction of Dynamics with Lie Group Analysis
Advances in Mathematical Physics, 2012 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
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A Lie group variational integrator in a closed-loop vector space without a multiplier [PDF]
Mechanical SciencesAs a non-tree multi-body system, the dynamics model of four-bar mechanism is a differential algebraic equation. The constraints breach problem leads to many problems for computation accuracy and efficiency.
L. Bai, L. Xia, X. Ge
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Vacuum polarization of scalar field on Lie groups with Bi-invariant metric [PDF]
Компьютерные исследования и моделирование, 2015 We consider vacuum polarization of a scalar field on the Lie groups with a bi-invariant metric of Robertson-Walker type. Using the method of orbits we found expression for the vacuum expectation values of the energy-momentum tensor of the scalar field ...
Alexander Igorevich Breev +1 more
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Genetic Diversity and Expanded Phenotypes in Dystonia: Insights From Large‐Scale Exome Sequencing
Annals of Clinical and Translational Neurology, EarlyView.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
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective SCN1A‐related seizures first present as febrile seizures (FS). Definitive features emerge later, making early diagnosis challenging. We evaluated the diagnostic yield and clinical characteristics of pathogenic SCN1A variants in FS, and analyzed the effect of variant characteristics on clinical phenotypes required for early ...
Jia Wang +11 more
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