Stability analysis of a dynamical model representing gene regulatory networks

In this paper we perform stability analysis of a class of cyclic biological processes involving time delayed feedback. More precisely, we analyze the genetic regulatory network having nonlinearities with negative Schwarzian derivatives. We derive a set of conditions implying global stability of the genetic regulatory network under positive feedback. As a special case, we also consider homogenous genetic regulatory networks and obtain an appropriate stability condition which depends only on the parameters of the nonlinearity function. © 2012 IFAC

Parton-Hadron Duality in Unpolarised and Polarised Structure Functions

We study the phenomenon of parton-hadron duality in both polarised and unpolarised electron proton scattering using the HERMES and the Jefferson Lab data, respectively. In both cases we extend a systematic perturbative QCD based analysis to the integrals of the structure functions in the resonance region. After subtracting target mass corrections and large x resummation effects, we extract the remaining power corrections up to order 1/Q^2. We find a sizeable suppression of these terms with respect to analyses using deep inelastic scattering data. The suppression appears consistently in both polarised and unpolarised data, except for the low Q^2 polarised data, where a large negative higher twist contribution remains. Possible scenarios generating this behavior are discussed.Comment: 17 pages, 9 figure

A coupled model for healthy and cancerous cells dynamics in Acute Myeloid Leukemia

In this paper we propose a coupled model for healthy and cancerous cell dynamics in Acute Myeloid Leukemia. The PDE-based model is transformed to a nonlinear distributed delay system. For an equilibrium point of interest, necessary and sufficient conditions of local asymptotic stability are given. Simulation examples are given to illustrate the results. © IFAC

A new model of cell dynamics in Acute Myeloid Leukemia involving distributed delays

In this paper we propose a refined model for the dynamical cell behavior in Acute Myeloid Leukemia (AML) compared to (Özbay et al, 2012) and (Adimy et al, 2008).We separate the cell growth phase into a sequence of several sub-compartments. Then, with the help of the method of characteristics, we show that the overall dynamical system of equations can be reduced to two coupled nonlinear equations with four internal sub-systems involving distributed delays. © 2012 IFAC

Long-range Angular Correlations On The Near And Away Side In P-pb Collisions At √snn=5.02 Tev

7191/Mar294

Old and new in stability analysis of cushing equation A geometric perspective

This paper focuses on the characterization of the stability crossing curves of a class of linear systems including gamma-distributed delays with a gap. More explicitly, we compute the crossing set, which consists of all frequencies corresponding to all points on the stability crossing curve, and we give their complete classification. Furthermore, the directions in which the zeros cross the imaginary axis are explicitly expressed. One illustrative example complete the paper

On designing robust real-time map-matching algorithms

International audienc

Some Remarks on the Asymptotic Behavior for Quasipolynomials with Two Delays

International audienc

Synchronization of bidirectionally coupled nonlinear systems with time-varying delay

This chapter considers the synchronization problem for coupled nonlinear systems with time-varying delay. In previous work, we have derived a sufficient condition for synchronization and boundedness of two identical strictly semi-passive systems coupled using state feedback with time-delay. This condition, however, requires that all state components are mutually coupled and the coupling delay is constant. In this chapter we extend the conditions to identical systems coupled using output feedback with time-varying delay where a bound on the length of the delay and an upper bound of its time-derivative are known. Firstly, we show, using the small-gain theorem, that the trajectories of coupled strictly semi-dissipative systems converge to a bounded region. Then we derive a sufficient condition for synchronization of the systems coupled with time-varying delay by using a delay range dependent stability criterion