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.
Original language | English |
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Pages (from-to) | 2525-2530 |
Number of pages | 6 |
Journal | Automatica |
Volume | 49 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2013 |
Keywords
- Boolean control networks
- Boolean networks
- Switching net
- Symbolic dynamics
- Systems biology
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Electrical and Electronic Engineering