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Classification of Random Boolean Networks
, 2002
"... We provide the first classification of different types of RandomBoolean Networks (RBNs). We study the differences of RBNs depending on the degree of synchronicity and determinism of their updating scheme. For doing so, we first define three new types of RBNs. We note some similarities and difference ..."
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Cited by 70 (14 self)
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We provide the first classification of different types of RandomBoolean Networks (RBNs). We study the differences of RBNs depending on the degree of synchronicity and determinism of their updating scheme. For doing so, we first define three new types of RBNs. We note some similarities
Interacting Random Boolean Networks
"... Abstract. Random Boolean networks (RBN) have been extensively studied as models of genetic regulatory networks. While many studies have been devoted to the dynamics of isolated random Boolean networks, which may considered as models of isolated cells, in this paper we consider a set of interacting R ..."
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Abstract. Random Boolean networks (RBN) have been extensively studied as models of genetic regulatory networks. While many studies have been devoted to the dynamics of isolated random Boolean networks, which may considered as models of isolated cells, in this paper we consider a set of interacting
Dynamics of random boolean networks
 University of Texas at Tyler
, 2005
"... Boolean networks are models of genetic regulatory networks. S. Kauffman based many of his claims about spontaneous selforganization in complex systems on simulations of randomly constructed Boolean networks. Some of these claims are precise mathematical statements. We analyze these statements usi ..."
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Cited by 5 (1 self)
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Boolean networks are models of genetic regulatory networks. S. Kauffman based many of his claims about spontaneous selforganization in complex systems on simulations of randomly constructed Boolean networks. Some of these claims are precise mathematical statements. We analyze these statements
Simulating Large Random Boolean Networks
, 2007
"... The Kauffman NK, or random boolean network, model is an important tool for exploring the properties of large scale complex systems. There are computational challenges in simulating large networks with high connectivities. We describe some highperformance data structures and algorithms for implemen ..."
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Cited by 2 (0 self)
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The Kauffman NK, or random boolean network, model is an important tool for exploring the properties of large scale complex systems. There are computational challenges in simulating large networks with high connectivities. We describe some highperformance data structures and algorithms
Visualising random boolean network dynamics
 In: GECCO 2009
, 2009
"... Abstract. We have proposed a simple approach to visualising the time behaviour of Random Boolean Networks (RBNs). Here we demonstrate the approach in a variety of cases: examining the effect of state and structure mutations, and examining the effect of canalising functions for K> 2 networks. 1 ..."
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Cited by 2 (2 self)
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Abstract. We have proposed a simple approach to visualising the time behaviour of Random Boolean Networks (RBNs). Here we demonstrate the approach in a variety of cases: examining the effect of state and structure mutations, and examining the effect of canalising functions for K> 2 networks. 1
Understanding robustness in random Boolean networks
 Artificial Life XI: Proceedings of the Eleventh International Conference on the Simulation and Synthesis of Living Systems
, 2008
"... Long used as a framework for abstract modelling of genetic regulatory networks, the Random Boolean Network model possesses interesting robustnessrelated behaviour. We introduce coherency, a new measure of robustness based on a system’s state space, and defined as the probability of switching betw ..."
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Cited by 3 (0 self)
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Long used as a framework for abstract modelling of genetic regulatory networks, the Random Boolean Network model possesses interesting robustnessrelated behaviour. We introduce coherency, a new measure of robustness based on a system’s state space, and defined as the probability of switching
Critical points for random boolean networks
 Physica D
"... A model of cellular metabolism due to S. Kauffman is analyzed. It consists of a network of Boolean gates randomly assembled according to a probability distribution. It is shown that the behavior of the network depends very critically on certain simple algebraic parameters of the distribution. In som ..."
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Cited by 4 (2 self)
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A model of cellular metabolism due to S. Kauffman is analyzed. It consists of a network of Boolean gates randomly assembled according to a probability distribution. It is shown that the behavior of the network depends very critically on certain simple algebraic parameters of the distribution
Lyapunov exponents in random Boolean networks
, 2000
"... A new order parameter approximation to Random Boolean Networks (RBN) is introduced, based on the concept of Boolean derivative. A statistical argument involving an annealed approximation is used, allowing to measure the order parameter in terms of the statistical properties of a random matrix. Using ..."
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Cited by 14 (0 self)
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A new order parameter approximation to Random Boolean Networks (RBN) is introduced, based on the concept of Boolean derivative. A statistical argument involving an annealed approximation is used, allowing to measure the order parameter in terms of the statistical properties of a random matrix
Results 1  10
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23,427