We consider a mathematical model of genetic regulatory networks (GRN). This model
consists of a nonlinear system of ordinary differential equations. The vector of solutions X (t) …

Many biological systems have the conspicuous property to present more than one stable
state and diverse rhythmic behaviors. A closed relationship between these complex dynamic …

We study the dynamical regimes demonstrated by a pair of identical 3-element ring
oscillators (reduced version of synthetic 3-gene genetic Repressilator) coupled using the …

For a class of coupled cyclic genetic regulatory networks (CGRNs) with constant delays, this
article focuses on the problem of global exponential stability analysis. To this end, one …

We propose to compute the effective activation energy, usually referred to a pseudopotential
or quasipotential, of a birhythmic system—a van der Pol-like oscillator—in the presence of …

We consider the response to uncorrelated noise and harmonic excitation of a birhythmic van
der Pol-type oscillator. This system, as opposed to the standard van der Pol oscillator, is …

Biological systems contain biochemical control networks that reside within a remarkable
spatial structure. We present a theoretical study of a biological system in which two …

We investigate the dynamics of a synthetic genetic repressilator with quorum sensing
feedback. In a basic genetic ring oscillator network in which three genes inhibit each other in …

Genetic oscillators play important roles in cell life regulation. The regulatory efficiency
usually depends strongly on the emergence of stable collective dynamic modes, which …

We model the dynamics of the synthetic genetic oscillator Repressilator equipped with
quorum sensing. In addition to a circuit of 3 genes repressing each other in a unidirectional …