[PDF][PDF] On modelling of genetic regulatory networks
F Sadyrbaev, I Samuilik… - WSEAS Transactions on …, 2021 - researchgate.net
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) …
consists of a nonlinear system of ordinary differential equations. The vector of solutions X (t) …
Multistability and bifurcation analysis of inhibitory coupled cyclic genetic regulatory networks with delays
G Ling, ZH Guan, B Hu, Q Lai… - IEEE transactions on …, 2017 - ieeexplore.ieee.org
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 …
state and diverse rhythmic behaviors. A closed relationship between these complex dynamic …
How to couple identical ring oscillators to get quasiperiodicity, extended chaos, multistability, and the loss of symmetry
EH Hellen, E Volkov - … in Nonlinear Science and Numerical Simulation, 2018 - Elsevier
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 …
oscillators (reduced version of synthetic 3-gene genetic Repressilator) coupled using the …
Global exponential stability analysis of coupled cyclic genetic regulatory networks with constant delays
Z Liu, X Yang, T Yu, X Zhang… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
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 …
article focuses on the problem of global exponential stability analysis. To this end, one …
Pseudopotential of birhythmic van der Pol-type systems with correlated noise
RM Yonkeu, R Yamapi, G Filatrella, C Tchawoua - Nonlinear Dynamics, 2016 - Springer
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 …
or quasipotential, of a birhythmic system—a van der Pol-like oscillator—in the presence of …
Coherence and stochastic resonance in a birhythmic van der Pol system
R Yamapi, AC Chamgoué, G Filatrella… - The European Physical …, 2017 - Springer
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 …
der Pol-type oscillator. This system, as opposed to the standard van der Pol oscillator, is …
Tunable oscillations and chaotic dynamics in systems with localized synthesis
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 …
spatial structure. We present a theoretical study of a biological system in which two …
Electronic implementation of a repressilator with quorum sensing feedback
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 …
feedback. In a basic genetic ring oscillator network in which three genes inhibit each other in …
Flexible dynamics of two quorum-sensing coupled repressilators
EH Hellen, E Volkov - Physical Review E, 2017 - APS
Genetic oscillators play important roles in cell life regulation. The regulatory efficiency
usually depends strongly on the emergence of stable collective dynamic modes, which …
usually depends strongly on the emergence of stable collective dynamic modes, which …
“Quorum sensing” generated multistability and chaos in a synthetic genetic oscillator
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 …
quorum sensing. In addition to a circuit of 3 genes repressing each other in a unidirectional …