Results 131 to 140 of about 16,555,549 (335)
First Integrals of the May–Leonard Asymmetric System
For the May–Leonard asymmetric system, which is a quadratic system of the Lotka–Volterra type depending on six parameters, we first look for subfamilies admitting invariant algebraic surfaces of degree two.
Valery Antonov +3 more
doaj +1 more source
Monotonicity properties and bounds involving the complete elliptic integrals of the first kind
In the article, we establish several monotonicity properties of the functions involving the complete elliptic integral of the first kind. As applications, we present sharp bounds for the complete elliptic integral of the first kind and the arithmetic ...
Zhen-Hang Yang, Wei-Mao Qian, Y. Chu
semanticscholar +1 more source
Polynomial First Integrals of Quadratic Systems
The paper contains a classification and the topological phase portraits of all quadratic systems having minimal polynomial first integrals of degree at most 4. The authors prove the existence of minimal polynomial first integrals of any degree for quadratic systems and show that such systems having more than three invariant straight lines have no ...
Llibre, Jaume, Zhang, Xiang
openaire +2 more sources
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
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
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
wiley +1 more source
On the absence of additional analytic first integrals of the perturbed Barrara problem
We consider the problem of additional analytic first integrals within the known problem of the perturbed motion of a satellite in a field determined by the Barrard gravitational potential.
Sevryukov Pavel
doaj +1 more source
A characterization of centres via first integrals
An isolated critical point of a smooth differential system \(x'=f(x)\) in the plane is proved to be a centre iff there exists a local smooth first integral which has the point in question as an isolated minimum and also iff there exists a local invariant measure which is equivalent with the Lebesgue measure and has smooth density.
L. Mazzi, Sabatini, Marco
openaire +4 more sources
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
Hyperbolicity, transversality and analytic first integrals
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source

