On the robustness of update schedules in Boolean networks

On the dynamics of two particular classes of Boolean automata networks: Boolean automata circuits and OR networks

The work presented here is set in line with fields of theoretical computer science and biology that study Boolean automata networks frequently seen as models of genetic regulation networks. In the context of biological regulation, former studies have highlighted the importance of circuits on the asymptotic dynamical behaviour of regulation networks. This is why we first chose to concentrate on ...

On update schedules and dynamics of boolean networks

Enumeration and extension of non-equivalent deterministic update schedules in Boolean networks

MOTIVATION Boolean networks (BNs) are commonly used to model genetic regulatory networks (GRNs). Due to the sensibility of the dynamical behavior to changes in the updating scheme (order in which the nodes of a network update their state values), it is increasingly common to use different updating rules in the modeling of GRNs to better capture an observed biological phenomenon and thus to obta...

A coherent feedforward loop design principle to sustain robustness of biological networks

MOTIVATION Many studies have investigated the relationship between structural properties and dynamic behaviors in biological networks. In particular, feedback loop (FBL) and feedforward loop (FFL) structures have received a great deal of attention. One interesting and common property of FBL and FFL structures is their coherency of coupling. However, the role of coherent FFLs in relation to netw...

Block-sequential update schedules and Boolean automata circuits

Our work is set in the framework of complex dynamical systems and, more precisely, that of Boolean automata networks modeling regulation networks. We study how the choice of an update schedule impacts on the dynamics of such a network. To do this, we explain how studying the dynamics of any network updated with an arbitrary blocksequential update schedule can be reduced to the study of the dyna...