Results 151 to 160 of about 16,555,549 (335)
First integrals for the Duffing-van der Pol type oscillator
Electronic Journal of Differential Equations, 2010 In this article, under certain parametric conditions, we study the first integrals of the Duffing-van der Pol-type oscillator equations which include the van der Pol and the Duffing oscillator systems, as particular cases.
Guangyue Gao, Zhaosheng Feng
doaj
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS 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
Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals
International Journal of Differential EquationsIn this work, we classify the first integrals of all planar polynomial differential systems of degree one with real constant coefficients. Additionally, we characterize when these first integrals are either polynomial, or rational, or nonalgebraic.
Bilal Ghermoul
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A Framework for Non-Gaussian Functional Integrals with Applications
, 2019 Functional integrals can be defined in terms of families of locally compact topological groups and their associated Banach-valued Haar integrals. The definition forgoes the goal of constructing a genuine measure on the domain of integration, but instead ...
LaChapelle, J.
core
FEBS Letters, EarlyView.This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel +13 more
wiley +1 more source
On multiplicative conformable fractional integrals: theory and applications
Boundary Value ProblemsIn this paper, we first introduce the multiplicative conformable left and right fractional integrals, followed by the derivation of key properties, such as integrability, boundedness, continuity, and the semi-group property, for the newly defined ...
Hüseyin Budak, Büşra Betül Ergün
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On the Problem of Existence of Holomorphic First Integrals
Journal of Mathematical Analysis and Applications, 1995 The author considers the system \(x' = B(x,y)\), \(y' = - A(x,y)\), where \(A(x,y)\), \(B(x,y)\) are real analytic functions in a neighbourhood of \(0 \in \mathbb{R}^2\) and \(' = d/dt\), as well as its complexification, i.e. a holomorphic differential equation defined in a neighbourhood of \(0 \in \mathbb{C}^2\), and \(' = d/dz\). To avoid the trivial
openaire +2 more sources
FEBS Letters, EarlyView.Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
wiley +1 more source
Local monomialization conjecture of a singular foliation of Darboux type
, 2015 After the nice result introduced by Belotto in [1] concerning the local monomialization of a singular foliation given by n first integrals, this work is a continuation in the same spirit.
Braghtha, Aymen
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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