243 citations · 564 across the 25 of their papers we have counts for
4 papers · 1 filter
Dynamics Decomposition of Boolean Networks: An algebraic foundation
Alan Veliz-Cuba, Claus Kadelka, David Murrugarra +4
Understanding the dynamics of Boolean networks is central to problems such as network reduction, design, control, and reverse engineering. As Boolean network models continue to gro…
Algebraic network reconstruction of discrete dynamical systems
Heather A. Harrington, Mike Stillman, Alan Veliz-Cuba
We present a computational algebra solution to reverse engineering the network structure of discrete dynamical systems from data. We use monomial ideals to determine dependencies b…
Reduction of Boolean Networks
Alan Veliz-Cuba
Boolean networks have been successfully used in modelling gene regulatory networks. In this paper we propose a reduction method that reduces the complexity of a Boolean network but…
The effect of negative feedback loops on the dynamics of Boolean networks
Eduardo Sontag, Alan Veliz-Cuba, Reinhard Laubenbacher +1
Feedback loops in a dynamic network play an important role in determining the dynamics of that network. Through a computational study, in this paper we show that networks with fewe…