Results 31 to 40 of about 226,577 (268)

Ricci solitons for solvable Lie groups

open access: yesСовременная математика: Фундаментальные направления
In this work, the existence of nontrivial (i.e., not Einstein) Ricci solitons on Riemannian three-dimensional and five-dimensional solvable Lie groups is considered and studied. Moreover, it is shown that they are not gradient Ricci solitons.
L. Belarbi
doaj   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

open access: yesFEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe   +3 more
wiley   +1 more source

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

open access: yesFEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source

The human gut microbiome across the life course

open access: yesFEBS Letters, EarlyView.
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero   +4 more
wiley   +1 more source

Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups

open access: yesJournal of Function Spaces and Applications, 2013
Homogeneous Triebel-Lizorkin spaces with full range of parameters are introduced on stratified Lie groups in terms of Littlewood-Paley-type decomposition.
Guorong Hu
doaj   +1 more source

Three phosphatase families form a community: The phosphohydrolases that act upon inositol pyrophosphates

open access: yesFEBS Letters, EarlyView.
Inositol pyrophosphates are energy‐rich signaling molecules that perform critical functions in cells. Three different families of phosphatases hydrolyze the β phosphate of the inositol pyrophosphate molecules: two have narrow specificities and one is promiscuous.
Ronda J. Rolfes
wiley   +1 more source

Octonionic Triality, the Matrix Structure of g2, and Principal Bundle Moduli Spaces

open access: yesAxioms
We develop a matrix-theoretic framework for the natural embedding of the exceptional Lie algebra g2=Der(O) in so(8), use it to make constructive a recent existence result on octonionic triality, and derive geometric applications for moduli spaces of ...
Álvaro Antón-Sancho
doaj   +1 more source

Lie Group Methods in Blind Signal Processing

open access: yesSensors, 2020
This paper deals with the use of Lie group methods to solve optimization problems in blind signal processing (BSP), including Independent Component Analysis (ICA) and Independent Subspace Analysis (ISA). The paper presents the theoretical fundamentals of
Dariusz Mika, Jerzy Jozwik
doaj   +1 more source

Modelling stem cell differentiation related processes—A practical overview for biologists

open access: yesFEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar   +4 more
wiley   +1 more source

On the Structure of Lie Pseudo-Groups

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors.
Peter J. Olver   +2 more
doaj   +1 more source

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