2 citations · 2 across the 7 of their papers we have counts for
7 papers
Permutation theory governs long-term dynamics of critical Boolean networks
Venkata Sai Narayana Bavisetty, Matthew Wheeler, Julian Vignes +4
Boolean networks are widely used to model gene regulatory Attractors of Boolean networks model stable gene-expression patterns, yet deriving their properties from network structure…
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…
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. We introduce the notion of cycle sets…
Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds
Hubert Wagner, Nickolas Arustamyan, Matthew Wheeler +1
We combine standard persistent homology with image persistent homology to define a novel way of characterizing shapes and interactions between them. In particular, we introduce: (1…
Modular Construction of Boolean Networks
Matthew Wheeler, Claus Kadelka, Alan Veliz-Cuba +2
Boolean networks have been used in a variety of settings, as models for general complex systems as well as models of specific systems in diverse fields, such as biology, engineerin…
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,…