Name
Abstract | ||
|---|---|---|
We consider Boolean control networks (BCNs), and in particular Boolean networks (BNs), in the framework of symbolic dynamics (SD). We show that the set of state-space trajectories of a BCN is a shift space of finite type (SFT). This observation allows us to extend two important analysis tools from SD, namely, the Artin-Mazur zeta function and the topological entropy, to BNs and BCNs. Some of the theoretical results are illustrated using a BCN model of the core network regulating the mammalian cell cycle. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.automatica.2013.05.004 | Automatica |
Keywords | Field | DocType |
Boolean networks,Boolean control networks,Switching net,Symbolic dynamics,Systems biology | Analysis tools,Boolean network,Symbolic dynamics,Discrete mathematics,Mathematical optimization,Riemann zeta function,Core network,Topological entropy,Theoretical computer science,Shift space,Mathematics | Journal |
Volume | Issue | ISSN |
49 | 8 | 0005-1098 |
Citations | PageRank | References |
17 | 0.73 | 10 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gal Hochma | 1 | 17 | 0.73 |
| Michael Margaliot | 2 | 783 | 59.94 |
| Ettore Fornasini | 3 | 351 | 20.98 |
| Maria Elena Valcher | 4 | 493 | 39.11 |