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20102026
most citedModeling Stochasticity and Variability in Gene Regulatory Networks

99 citations · 492 across the 22 of their papers we have counts for

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Showing 2011Show all

5 papers · 1 filter

math.CO2011★ 1 cited

Multi-state Canalyzing Functions over Finite Fields

Yuan Li, David Murrugarra, John O. Adeyeye +1

In this paper, we extend the definition of Boolean canalyzing functions to the canalyzing functions over finite field , where is a power of a prime. We obtain t…

math.AG2011★ 29 cited

The Number of Multistate Nested Canalyzing Functions

David Murrugarra, Reinhard Laubenbacher

Identifying features of molecular regulatory networks is an important problem in systems biology. It has been shown that the combinatorial logic of such networks can be captured in…

math.DS2011★ 1 cited

Bifurcations in Boolean Networks

Chris J. Kuhlman, Henning S. Mortveit, David Murrugarra +1

This paper characterizes the attractor structure of synchronous and asynchronous Boolean networks induced by bi-threshold functions. Bi-threshold functions are generalizations of c…

q-bio.MN2011★ 1 cited

Structure and Dynamics of Polynomial Dynamical Systems

Reinhard Laubenbacher, David Murrugarra, Alan Veliz-Cuba

Discrete models have a long tradition in engineering, including finite state machines, Boolean networks, Petri nets, and agent-based models. Of particular importance is the questio…

q-bio.MN2011★ 42 cited

Regulatory patterns in molecular interaction networks

David Murrugarra, Reinhard Laubenbacher

Understanding design principles of molecular interaction networks is an important goal of molecular systems biology. Some insights have been gained into features of their network t…