Add to ORKGAbstract: A method to study asymptotic properties of solutions to systems of differential equations with distributed time-delays and Boolean-type nonlinearities (step functions) is offered. Such systems arise in many applications, but this paper deals with specific examples of such systems coming from genetic regulatory networks. A challenge is to analyze stable stationary points which belong to the discontinuity set of the system (thresholds). The paper describes an algorithm of localizing stationary points in the presence of delays as well as stability analysis around such points. The basic technical tool consists in replacing step functions by the so-called ”logoid functions ” and investigating the smooth systems thus obtained. Key–Words...
International audienceIn this article, we propose a refinement of the modeling of genetic regulatory...
Gene regulation is inherently a stochastic process due to intrinsic and extrinsic noises which cause...
Regulatory gene networks contain generic modules, like those involving feedback loops, which are ess...
A method to study asymptotic properties of solutions to systems of differential equations with dist...
Abstract. A method to study asymptotic properties of solutions to systems of differential equations ...
Abstract. This paper suggests a mathematical framework to study gene reg-ulatory networks with time-...
Title and subtitle Delay-dependent Stability of Genetic Regulatory Networks (Fördröjning och stabili...
This brief examines a deterministic, ODE-based model for gene regulatory networks (GRN) that incorpo...
Abstract. In this article, we propose a refinement of the modeling of genetic regulatory networks ba...
The study of time delays and their influence on gene network dynamics is the central topic of this t...
Time delay is an important aspect in the modelling of genetic regulation due to slow biochemical rea...
This paper presents an analytical study of the stability of the steady state solutions of a gene reg...
In this paper, the global exponential stability of complex-valued genetic regulatory networks with d...
This paper presents an analytical study of the stability of the steady state solutions of a gene reg...
Genes are the fundamental units of biological organisms. Genes encode proteins which carryout variou...
International audienceIn this article, we propose a refinement of the modeling of genetic regulatory...
Gene regulation is inherently a stochastic process due to intrinsic and extrinsic noises which cause...
Regulatory gene networks contain generic modules, like those involving feedback loops, which are ess...
A method to study asymptotic properties of solutions to systems of differential equations with dist...
Abstract. A method to study asymptotic properties of solutions to systems of differential equations ...
Abstract. This paper suggests a mathematical framework to study gene reg-ulatory networks with time-...
Title and subtitle Delay-dependent Stability of Genetic Regulatory Networks (Fördröjning och stabili...
This brief examines a deterministic, ODE-based model for gene regulatory networks (GRN) that incorpo...
Abstract. In this article, we propose a refinement of the modeling of genetic regulatory networks ba...
The study of time delays and their influence on gene network dynamics is the central topic of this t...
Time delay is an important aspect in the modelling of genetic regulation due to slow biochemical rea...
This paper presents an analytical study of the stability of the steady state solutions of a gene reg...
In this paper, the global exponential stability of complex-valued genetic regulatory networks with d...
This paper presents an analytical study of the stability of the steady state solutions of a gene reg...
Genes are the fundamental units of biological organisms. Genes encode proteins which carryout variou...
International audienceIn this article, we propose a refinement of the modeling of genetic regulatory...
Gene regulation is inherently a stochastic process due to intrinsic and extrinsic noises which cause...
Regulatory gene networks contain generic modules, like those involving feedback loops, which are ess...