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Dynamics of scalefree semisynchronous boolean networks
 in Artificial Life X, eds.Rocha,L.M.et al
, 2006
"... Random Boolean Networks have been introduced by Kauffman more than thirty years ago as a highly simplified model of genetic regulatory networks. These models are interesting in their own as complex dynamical systems and have been throughly studied as such. We believe that the original view of Kauffm ..."
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Cited by 2 (2 self)
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at the time. In particular, we will present a method for generating networks with given degree distributions, together with a new semisynchronous updating scheme. Simulations of statistical ensembles of networks behaving according to the new model will be presented and discussed.
Boolean Game on Scalefree Networks
, 2006
"... Inspired by the local minority game, we propose a network Boolean game and investigate its dynamical properties on scalefree networks. The system can selforganize to a stable state with better performance than random choice game, although only the local information is available to the agent. By in ..."
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Inspired by the local minority game, we propose a network Boolean game and investigate its dynamical properties on scalefree networks. The system can selforganize to a stable state with better performance than random choice game, although only the local information is available to the agent
From heavytailed Boolean models to scalefree Gilbert graphs
"... Abstract. Define the scalefree Gilbert graph based on a Boolean model with heavytailed radius distribution on the ddimensional torus by connecting two centers of balls by an edge if at least one of the balls contains the center of the other. We investigate two asymptotic properties of this graph ..."
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Cited by 1 (0 self)
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Abstract. Define the scalefree Gilbert graph based on a Boolean model with heavytailed radius distribution on the ddimensional torus by connecting two centers of balls by an edge if at least one of the balls contains the center of the other. We investigate two asymptotic properties of this graph
Physica D 185 (2003) 45–66 Boolean dynamics of networks with scalefree topology
, 2003
"... The dynamics of Boolean networks with scalefree topology are studied. The existence of a phase transition from ordered to chaotic dynamics, governed by the value of the scalefree exponent of the network, is shown analytically by analyzing the overlap between two distinct trajectories. The phase di ..."
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The dynamics of Boolean networks with scalefree topology are studied. The existence of a phase transition from ordered to chaotic dynamics, governed by the value of the scalefree exponent of the network, is shown analytically by analyzing the overlap between two distinct trajectories. The phase
Fixedpoints in Random Boolean Networks: The impact of parallelism in the scalefree topology case ∗
"... Fixed points are fundamental states in any dynamical system. In the case of gene regulatory networks (GRNs) they correspond to stable genes profiles associated to the various cell types. We use Kauffman’s approach to model GRNs with random Boolean networks (RBNs). We start this paper by proving that ..."
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Fixed points are fundamental states in any dynamical system. In the case of gene regulatory networks (GRNs) they correspond to stable genes profiles associated to the various cell types. We use Kauffman’s approach to model GRNs with random Boolean networks (RBNs). We start this paper by proving
Phase transitions in random Boolean networks with different updating schemes
, 2004
"... In this paper we study the phase transitions of different types of Random Boolean networks. These differ in their updating scheme: synchronous, semisynchronous, or asynchronous, and deterministic or nondeterministic. It has been shown that the statistical properties of Random Boolean networks chan ..."
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Cited by 7 (3 self)
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In this paper we study the phase transitions of different types of Random Boolean networks. These differ in their updating scheme: synchronous, semisynchronous, or asynchronous, and deterministic or nondeterministic. It has been shown that the statistical properties of Random Boolean networks
Robustness of Attractor in Complex Networks with Scalefree Topology III
"... Dynamics of gene interactions in cell and robustness of cell are still open problems. One of the most simplified model for such gene interactions is known as the Kauffman’s random Boolean network (RBN) model. In this model we assume that a gene is regulated by a certain fixed number of other input g ..."
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Dynamics of gene interactions in cell and robustness of cell are still open problems. One of the most simplified model for such gene interactions is known as the Kauffman’s random Boolean network (RBN) model. In this model we assume that a gene is regulated by a certain fixed number of other input
Robustness of Attractor States in Complex Networks with Scalefree Topology
, 708
"... We study the intrinsic properties of attractors in the Boolean dynamics in complex network with scalefree topology, comparing with those of the socalled random Kauffman networks. We have numerically investigated the frozen and relevant nodes for each attractor, and the robustness of the attractors ..."
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We study the intrinsic properties of attractors in the Boolean dynamics in complex network with scalefree topology, comparing with those of the socalled random Kauffman networks. We have numerically investigated the frozen and relevant nodes for each attractor, and the robustness
Intrinsic Properties of Boolean Dynamics in Complex Networks
"... We study intrinsic properties of attractor in Boolean dynamics of complex networks with scalefree topology, comparing with those of the socalled Kauffman’s random Boolean networks. We numerically study both frozen and relevant nodes in each attractor in the dynamics of relatively small networks (2 ..."
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We study intrinsic properties of attractor in Boolean dynamics of complex networks with scalefree topology, comparing with those of the socalled Kauffman’s random Boolean networks. We numerically study both frozen and relevant nodes in each attractor in the dynamics of relatively small networks
Optimal intervention in asynchronous genetic regulatory networks
 IEEE J. Sel. Topics Signal Process
"... Abstract—There is an ongoing effort to design optimal intervention strategies for discrete statespace synchronous genetic regulatory networks in the context of probabilistic Boolean networks; however, to date, there has been no corresponding effort for asynchronous networks. This paper addresses ..."
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Cited by 11 (9 self)
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Abstract—There is an ongoing effort to design optimal intervention strategies for discrete statespace synchronous genetic regulatory networks in the context of probabilistic Boolean networks; however, to date, there has been no corresponding effort for asynchronous networks. This paper addresses
Results 1  10
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