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Boolean networks with robust and reliable trajectories
Christoph Schmal, Tiago P. Peixoto, Barbara Drossel
We construct and investigate Boolean networks that follow a given reliable trajectory in state space, which is insensitive to fluctuations in the updating schedule, and which is al…
The phase diagram of random Boolean networks with nested canalizing functions
Tiago P. Peixoto
We obtain the phase diagram of random Boolean networks with nested canalizing functions. Using the annealed approximation, we obtain the evolution of the number of nodes with…
Redundancy and error resilience in Boolean Networks
Tiago P. Peixoto
We consider the effect of noise in sparse Boolean Networks with redundant functions. We show that they always exhibit a non-zero error level, and the dynamics undergoes a phase tra…
Boolean networks with reliable dynamics
Tiago P. Peixoto, Barbara Drossel
We investigated the properties of Boolean networks that follow a given reliable trajectory in state space. A reliable trajectory is defined as a sequence of states which is indepen…
Noise in random Boolean networks
Tiago P. Peixoto, Barbara Drossel
We investigate the effect of noise on Random Boolean Networks. Noise is implemented as a probability that a node does not obey its deterministic update rule. We define two orde…