Broad edge of chaos in strongly heterogeneous Boolean networks
| dc.creator | Lee, Deok-Sun | |
| dc.creator | Rieger, Heiko | |
| dc.date | 2006-05-30 | |
| dc.date | 2008-09-19 | |
| dc.date.accessioned | 2026-07-07T10:03:48Z | |
| dc.date.available | 2026-07-07T10:03:48Z | |
| dc.description | The dynamic stability of the Boolean networks representing a model for the gene transcriptional regulation (Kauffman model) is studied by calculating analytically and numerically the Hamming distance between two evolving configurations. This turns out to behave in a universal way close to the phase boundary only for in-degree distributions with a finite second moment. In-degree distributions of the form $P_d(k)\sim k^{-γ}$ with $2<γ<3$, thus having a diverging second moment, lead to a slower increase of the Hamming distance when moving towards the unstable phase and to a broadening of the phase boundary for finite $N$ with decreasing $γ$. We conclude that the heterogeneous regulatory network connectivity facilitates the balancing between robustness and evolvability in living organisms. | |
| dc.description | 8 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0605730 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0605730 | |
| dc.identifier | J. Phys. A: Math. Theor. 41 (2008) 415001 | |
| dc.identifier | doi:10.1088/1751-8113/41/41/415001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169425 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Broad edge of chaos in strongly heterogeneous Boolean networks | |
| dc.type | text |