Results 91 to 100 of about 494,012 (266)

Explicit limit cycles of a family of polynomial differential systems

open access: yesElectronic Journal of Differential Equations, 2017
We consider the family of polynomial differential systems $$\displaylines{ x' = x+( \alpha y-\beta x) (ax^2-bxy+ay^2) ^{n}, \cr y' = y-( \beta y+\alpha x) (ax^2-bxy+ay^2) ^{n}, }$$ where a, b, $\alpha $, $\beta $ are real constants and n is ...
Rachid Boukoucha
doaj  

The Fundamental Theorem on Quadratic First Integrals

open access: yesProceedings of the National Academy of Sciences, 1946
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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

open access: yesFEBS 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   +5 more
wiley   +1 more source

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

open access: yesFEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee   +3 more
wiley   +1 more source

Higher order criterion for the nonexistence of formal first integral for nonlinear systems

open access: yesElectronic Journal of Differential Equations, 2017
The main purpose of this article is to find a criterion for the nonexistence of formal first integrals for nonlinear systems under general resonance. An algorithm illustrates an application to a class of generalized Lokta-Volterra systems.
Zhiguo Xu, Wenlei Li, Shaoyun Shi
doaj  

On the integrability and dynamics of the Hide, Skeldon and Acheson differential system

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
The family of systems \begin{equation*} \dot{x}= x(y-1)-\beta z,\quad \dot{y}= \alpha (1-x^2)-\kappa y, \quad \dot{z}= x-\lambda z, \end{equation*} where $(x,y,z) \in \mathbb{R}^3$ and $\alpha$, $\beta$, $\kappa$, $\lambda$ are real parameters, was ...
Érika Diz-Pita   +3 more
doaj   +1 more source

Structural biology of ferritin nanocages

open access: yesFEBS 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

Organ‐specific redox imbalances in spinal muscular atrophy mice are partially rescued by SMN antisense oligonucleotides

open access: yesFEBS Letters, EarlyView.
We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
wiley   +1 more source

Finding Liouvillian First Integrals of Rational ODEs of Any Order in Finite Terms

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2006
It is known, due to Mordukhai-Boltovski, Ritt, Prelle, Singer, Christopher and others, that if a given rational ODE has a Liouvillian first integral then the corresponding integrating factor of the ODE must be of a very special form of a product of ...
Yuri N. Kosovtsov
doaj  

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

open access: yesFEBS 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   +3 more
wiley   +1 more source

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