Boolean Dynamics of Biological Networks with Multiple Coupled Feedback Loops

Yung-Keun Kwon, Kwang-Hyun Cho
2007 Biophysical Journal  
Boolean networks have been frequently used to study the dynamics of biological networks. In particular, there have been various studies showing that the network connectivity and the update rule of logical functions affect the dynamics of Boolean networks. There has been, however, relatively little attention paid to the dynamical role of a feedback loop, which is a circular chain of interactions between Boolean variables. We note that such feedback loops are ubiquitously found in various
more » ... al systems as multiple coupled structures and they are often the primary cause of complex dynamics. In this article, we investigate the relationship between the multiple coupled feedback loops and the dynamics of Boolean networks. We show that networks have a larger proportion of basins corresponding to fixed-point attractors as they have more coupled positive feedback loops, and a larger proportion of basins for limit-cycle attractors as they have more coupled negative feedback loops.
doi:10.1529/biophysj.106.097097 pmid:17259267 pmcid:PMC1831709 fatcat:gifqfip6kjgotchko2b5bwdwi4