243 citations · 564 across the 25 of their papers we have counts for
28 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…
A modular approach to achieve multistationarity using AND-gates
Alan Veliz-Cuba, Zeyu Wang
Systems of differential equations have been used to model biological systems such as gene and neural networks. A problem of particular interest is to understand the number of stabl…
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,…
A unified approach to reverse engineering and data selection for unique network identification
Alan Veliz-Cuba, Vanessa Newsome-Slade, Elena S. Dimitrova
Due to cost concerns, it is optimal to gain insight into the connectivity of biological and other networks using as few experiments as possible. Data selection for unique network c…
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…