Results 41 to 50 of about 106,795 (268)

Symmetry of solutions for a fractional system [PDF]

Science China Mathematics, 2017
We consider the following equations: \begin{equation*} \left\{\begin{array}{ll} (-\triangle)^{α/2}u(x)=f(v(x)), \\ (-\triangle)^{β/2}v(x)=g(u(x)), &x \in R^{n},\\ u,v\geq 0, &x \in R^{n}, \end{array} \right. \end{equation*} for continuous $f, g$ and $α, β\in (0,2)$.
Li, Yan, Ma, Pei
openaire   +3 more sources

Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?

FEBS Letters, EarlyView.
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes, Guilherme M. Azevedo, Amanda P. Barcellos, Diana Bahia   +3 more
wiley   +1 more source

Novel Frequency-Based Approach to Analyze the Stability of Polynomial Fractional Differential Equations

Axioms, 2023
This paper proposes a novel approach for analyzing the stability of polynomial fractional-order systems using the frequency-distributed fractional integrator model.
Hassan Yaghoubi, Assef Zare, Mohammad Rasouli, Roohallah Alizadehsani   +3 more
doaj   +1 more source

On the controllability of fractional dynamical systems [PDF]

International Journal of Applied Mathematics and Computer Science, 2012
Abstract This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder’s fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function.
Balachandran, Krishnan, Kokila, Jayakumar   +1 more
openaire   +2 more sources

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

FEBS 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, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

Efficient computation for the eigenvalues and eigenfunctions of two-dimensional non-separable linear canonical transform

Results in Applied Mathematics
The parameter matrix of the two-dimensional non-separable linear canonical transform (2D-NSLCT) determines its specific form and properties. Certain forms of the 2D-NSLCT are consistent with well-known transforms, such as two-dimensional non-separable ...
Yuru Tian, Feng Zhang
doaj   +1 more source

Positifitas dan Ketercapaian Sistem Linier Fractional Waktu Kontinu

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2011
This paper studies a solution of the fractional continuous-time linier system. Necessary and sufficient condition were established for the internal and external positivity of fractional systems.
Imam Fahcruddin
doaj   +1 more source

Formal Verification of Fractional-Order PID Control Systems Using Higher-Order Logic

Fractal and Fractional, 2022
Fractional-order PID control is a landmark in the development of fractional-order control theory. It can improve the control precision and accuracy of systems and achieve more robust control results.
Chunna Zhao, Murong Jiang, Yaqun Huang
doaj   +1 more source

The planar cell polarity protein Vangl2 interacts with the PDZ‐domains of Scribble but not with a unique PDZ‐like domain in Inturned

FEBS Letters, EarlyView.
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes, Jan Brysch, Carmen Gelze, Lilli Meier, Daniel Kümmel   +4 more
wiley   +1 more source

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