150 citations · 386 across the 12 of their papers we have counts for
Showing 2009Show all
3 papers · 1 filter
q-bio.MN2009
The Stability of Boolean Networks with Generalized Canalizing Rules
Andrew Pomerance, Michelle Girvan, Ed Ott
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 nod…
q-bio.MN2009★ 106 cited
The effect of network topology on the stability of discrete state models of genetic control
Andrew Pomerance, Edward Ott, Michelle Girvan +1
Boolean networks have been proposed as potentially useful models for genetic control. An important aspect of these networks is the stability of their dynamics in response to small…
cond-mat.dis-nn2009★ 14 cited
Approximating the Largest Eigenvalue of the Modified Adjacency Matrix of Networks with Heterogeneous Node Biases
Edward Ott, Andrew Pomerance
Motivated by its relevance to various types of dynamical behavior of network systems, the maximum eigenvalue of the adjacency matrix of a network has been considered, and…