6 papers
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…
Dynamics of attractor transitions in Boolean networks under noise
Byungjoon Min, Jeehye Choi, Reinhard Laubenbacher
Biological systems operate under persistent noise, which can alter system states and induce transitions between attractors. Here, we study the attractor dynamics of Boolean network…
Upper bound for the stability of Boolean networks
Venkata Sai Narayana Bavisetty, Matthew Wheeler, Reinhard Laubenbacher +1
Boolean networks, inspired by gene regulatory networks, were developed to understand the complex behaviors observed in biological systems, with network attractors corresponding to…
Categorical foundations of discrete dynamical systems
Daniel Carranza, Chris Kapulkin, Nathan Kershaw +2
We develop categorical foundations of discrete dynamical systems, aimed at understanding how the structure of the system affects its dynamics. The key technical innovation is the n…
Beyond Boolean networks: new tools for the steady state analysis of multivalued networks
J. GarcÃa Galofre, M. Pérez Millán, A. Galarza Rial +2
Boolean networks can be viewed as functions on the set of binary strings of a given length, described via logical rules. They were introduced as dynamic models into biology, in par…
Modular control of Boolean network models
David Murrugarra, Alan Veliz-Cuba, Elena Dimitrova +3
The concept of control is crucial for effectively understanding and applying biological network models. Key structural features relate to control functions through gene regulation,…