Add to ORKGMotivation: Study of functioning laws of regulatory circuits of gene networks is one of the actual problems of mathematical biology. Results: A mathematical model of a symmetric genetic construction consisting of three gene elements is considered. We show that the model can have aperiodic functioning regimes of chaotic type in spite of compete symmetry of the system with respect to permutation of variables. Availability: Available on request
International audienceIt is acknowledged that the presence of positive or negative circuits in regul...
Abstract: Mathematical models, as instruments for understanding the workings of nature, are a tradit...
We analyze a class of ordinary differential equations representing a simplified model of a genetic n...
We consider dynamics in a class of piecewise-linear ordinary differential equa-tions and in an elect...
Chaos should occur often in gene regulatory networks (GRNs) which have been widely described by nonl...
<div><p>Chaos should occur often in gene regulatory networks (GRNs) which have been widely described...
This letter gives a general review on the monostability, bistability, periodicity and chaos in gene ...
The present study is devoted to the design and statistical investigations of dynamical gene expressi...
Mathematical models, as instruments for understanding the workings of nature, are a traditional tool...
The focus of the thesis is the investigation of the generalized repressilator model (repressing gene...
Genetic regulatory networks have the complex task of controlling all aspects of life. Using a model ...
International audienceNegative feedback circuits are a recurrent motif in regulatory biological netw...
Abstract. Linearized catalytic reaction equations – modeling e.g. the dynamics of genetic regulatory...
International audiencePredicting how a genetic change affects a given character is a major challenge...
Regulatory gene circuit motifs play crucial roles in performing and maintaining vital cellular funct...
International audienceIt is acknowledged that the presence of positive or negative circuits in regul...
Abstract: Mathematical models, as instruments for understanding the workings of nature, are a tradit...
We analyze a class of ordinary differential equations representing a simplified model of a genetic n...
We consider dynamics in a class of piecewise-linear ordinary differential equa-tions and in an elect...
Chaos should occur often in gene regulatory networks (GRNs) which have been widely described by nonl...
<div><p>Chaos should occur often in gene regulatory networks (GRNs) which have been widely described...
This letter gives a general review on the monostability, bistability, periodicity and chaos in gene ...
The present study is devoted to the design and statistical investigations of dynamical gene expressi...
Mathematical models, as instruments for understanding the workings of nature, are a traditional tool...
The focus of the thesis is the investigation of the generalized repressilator model (repressing gene...
Genetic regulatory networks have the complex task of controlling all aspects of life. Using a model ...
International audienceNegative feedback circuits are a recurrent motif in regulatory biological netw...
Abstract. Linearized catalytic reaction equations – modeling e.g. the dynamics of genetic regulatory...
International audiencePredicting how a genetic change affects a given character is a major challenge...
Regulatory gene circuit motifs play crucial roles in performing and maintaining vital cellular funct...
International audienceIt is acknowledged that the presence of positive or negative circuits in regul...
Abstract: Mathematical models, as instruments for understanding the workings of nature, are a tradit...
We analyze a class of ordinary differential equations representing a simplified model of a genetic n...