Boolean networks are discrete dynamical systems in which the state (zero or one) of each network node at time t is updated to a state determined by the states at time t-1 of those nodes that have links to it. Boolean networks with ` canalizing' update rules have been of great interestin the modeling of genetic control . A canalizing update rule is one for which the node state at time t is determined by the state at time t-1 of a particular one of its inputs when that input is in its canalizing state. In this paper, we introduce a generalized concept of canalization that we believe offers a significant enhancement in biological relevance, and we obtain a simple general network stability criterion for Boolean networks with generalized canalization for a broad class of network topologies .
Boolean networks are discrete dynamical systems in which the state (zero or one) of each node is updated at each time t to a state determined by the states at time t-1 of those nodes that have links to it. When these systems are used to model genetic control, the case of ' canalizing' update rules is of particular interest . A canalizing rule is one for which a node state at time t is determined by the state at time t-1 of a single one of its inputs when that inputting node is in its canalizing state. Previous work on the order/disorder transition in Boolean networks considered complex, non-random network topology. In the current paper we extend this previous work to account for canalizing behavior .
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In this paper, we introduce a generalized concept of canalization that we believe offers a significant enhancement in biological relevance, and we obtain a simple general network stability criterion for Boolean networks with generalized canalization for a broad class of network topologies
Previous work on the order/disorder transition in Boolean networks considered complex, non-random network topology. In the current paper we extend this previous work to account for canalizing behavior