The effect of negative feedback loops on the dynamics of Boolean networks 1 (2009)
Eduardo Sontag, Alan Veliz-cuba, Reinhard Laubenbacher, Abdul Salam Jarrah
Feedback loops play an important role in determining the dynamics of biological networks. In order to study the role of negative feedback loops, this paper introduces the notion of “distance to...
The Effect of Negative Feedback Loops on the Dynamics of Boolean Networks (2009)
Eduardo Sontag, Alan Veliz-cuba, Y Reinhard Laubenbacher
ABSTRACT Feedback loops play an important role in determining the dynamics of biological networks. To study the role of negative feedback loops, this article introduces the notion of...
Reduction of Boolean Networks (2009)
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 keeps dynamical...
Network Topology as a Driver of Bistability in the lac Operon (2008)
Stigler, Brandilyn, Veliz-Cuba, Alan
The lac operon in Escherichia coli has been studied extensively and is one of the earliest gene systems found to undergo both positive and negative control. The lac operon is known to exhibit...
The Dynamics of Conjunctive and Disjunctive Boolean Networks (2008)
Jarrah, Abdul Salam, Laubenbacher, Reinhard, Veliz-Cuba, Alan
The relationship between the properties of a dynamical system and the structure of its defining equations has long been studied in many contexts. Here we study this problem for the class of...
The effect of negative feedback loops on the dynamics of Boolean networks (2007)
Sontag, Eduardo, Veliz-Cuba, Alan, Laubenbacher, Reinhard, Jarrah, Abdul Salam
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 fewer independent...
The Effect of Negative Feedback Loops on the Dynamics of Boolean Networks
Sontag, Eduardo, Veliz-Cuba, Alan, Laubenbacher, Reinhard, Jarrah, Abdul Salam
Feedback loops play an important role in determining the dynamics of biological networks. To study the role of negative feedback loops, this article introduces the notion of...