Results 61 to 70 of about 24,603,526 (334)
A Model for Persistent Levy Motion
We propose the model, which allows us to approximate fractional Levy noise and fractional Levy motion. Our model is based (i) on the Gnedenko limit theorem for an attraction basin of stable probability law, and (ii) on regarding fractional noise as the ...
A.V Chechkin +25 more
core +2 more sources
Fractional semilinear Neumann problems arising from a fractional Keller--Segel model [PDF]
We consider the following fractional semilinear Neumann problem on a smooth bounded domain $\Omega\subset\mathbb{R}^n$, $n\geq2$, $$\begin{cases} (-\varepsilon\Delta)^{1/2}u+u=u^{p},&\hbox{in}~\Omega,\\ \partial_\nu u=0,&\hbox{on}~\partial\Omega,\\ u>0,&\
Stinga, P. R., Volzone, B.
core +1 more source
Molecular bases of circadian magnesium rhythms across eukaryotes
Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
wiley +1 more source
Space-time fractional Zener wave equation
Space-time fractional Zener wave equation, describing viscoelastic materials obeying the time-fractional Zener model and the space-fractional strain measure, is derived and analyzed. This model includes waves with finite speed, as well as non-propagating
Atanackovic, Teodor M. +4 more
core +1 more source
Crosstalk between the ribosome quality control‐associated E3 ubiquitin ligases LTN1 and RNF10
Loss of the E3 ligase LTN1, the ubiquitin‐like modifier UFM1, or the deubiquitinating enzyme UFSP2 disrupts endoplasmic reticulum–ribosome quality control (ER‐RQC), a pathway that removes stalled ribosomes and faulty proteins. This disruption may trigger a compensatory response to ER‐RQC defects, including increased expression of the E3 ligase RNF10 ...
Yuxi Huang +8 more
wiley +1 more source
This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley +1 more source
Stability Analysis of a Fractional-Order Linear System Described by the Caputo–Fabrizio Derivative
In this paper, stability analysis of a fractional-order linear system described by the Caputo⁻Fabrizio (CF) derivative is studied. In order to solve the problem, character equation of the system is defined at first by using the Laplace transform ...
Hong Li +3 more
doaj +1 more source
Fractional Sensitivity Equation Method: Application to Fractional Model Construction
Fractional differential equations provide a tractable mathematical framework to describe anomalous behavior in complex physical systems, yet they introduce new sensitive model parameters, i.e. derivative orders, in addition to model coefficients. We formulate a sensitivity analysis of fractional models by developing a fractional sensitivity equation ...
Kharazmi, Ehsan, Zayernouri, Mohsen
openaire +3 more sources
FRACTIONAL COINTEGRATION IN STOCHASTIC VOLATILITY MODELS [PDF]
Asset returns are frequently assumed to be determined by one or more common factors. We consider a bivariate factor model where the unobservable common factor and idiosyncratic errors are stationary and serially uncorrelated but have strong dependence in higher moments.
Afonso Gonçalves da Silva +1 more
openaire +4 more sources
Prabhakar-like fractional viscoelasticity
The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators. In particular, we propose a modification of the classical fractional Maxwell model, in which we replace the Caputo derivative with the Prabhakar one.
Colombaro, Ivano, Giusti, Andrea
core +1 more source

