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Heterogeneity And Its Impact On Thermal Robustness And Attractor Density, Yuri Cantor, Bilal Khan, Kirk Dombrowski

Department of Sociology: Faculty Publications

There is considerable research relating the structure of Boolean networks to their state space dynamics. In this paper, we extend the standard model to include the effects of thermal noise, which has the potential to deflect the trajectory of a dynamical system within its state space, sending it from one stable attractor to another. We introduce a new “thermal robustness” measure, which quantifies a Boolean network’s resilience to such deflections. In particular, we investigate the impact of structural homogeneity on two dynamical properties: thermal robustness and attractor density. Through computational experiments on cyclic Boolean networks, we ascertain that as a …