Abstract:
For regulatory networks we show how the concepts of informative nodes (Mochizuki) and determining nodes (Foias, Temam) coincide with the notion of feedback vertex sets from graph theory. As a consequence we can determine, and control, the long-time dynamics of networks from observations on a feedback vertex set, only. Examples include early Ascidian embryogenesis and genetic circadian clocks in mammals. The results are joint work with Atsushi Mochizuki, Gen Kurosawa, and Daisuke Saito (RIKEN, Wako).
See also
http://dynamics.mi.fu-berlin.de/