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Symbolic and global dynamics in coupled genetic networks: evolution of artificial cell populations at the edge of and within chaotic transient behaviour.
| Content Provider | CiteSeerX |
|---|---|
| Author | Bignone, Franco A. Livi, Roberto Propato, Marco |
| Abstract | We investigate the main dynamical features of a Coupled Map Lattice that mimics the evolution in time of genetic networks in regular cellular clusters. Each cell is represented by the same network of genes whose protein products determine mutual interactions both in space and time. The global dynamics -- quantified by the mean concentrations of the products on the overall lattice --, and the symbolic dynamics -- activity-inactivity patterns of the genes --, have been analyzed in the longtransient regime, shown by the system in certain regions of the parameter space. Although the system is linearly stable -- the maximum Lyapunov exponent is proved to be always negative --, the long transient regime exhibits stationary features proper of chaotic evolution. Moreover, in the other regions of the parameter space the dynamics shows shorter transients and more regular behaviour. The analysis of the global and symbolic dynamics allows the interpretation of these different regimes in biological... |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Global Dynamic Within Chaotic Transient Behaviour Artificial Cell Population Coupled Genetic Network Parameter Space Mean Concentration Chaotic Evolution Different Regime Maximum Lyapunov Exponent Longtransient Regime Coupled Map Lattice Protein Product Certain Region Mutual Interaction Long Transient Regime Main Dynamical Feature Genetic Network Symbolic Dynamic Regular Behaviour Stationary Feature Overall Lattice Symbolic Dynamic Activity-inactivity Pattern Regular Cellular Cluster |
| Content Type | Text |
