Realizing Boolean Dynamics in Switching Networks

Submitted

Journal Article (Academic article)

Switching networks are a common model for biological systems, especially for genetic transcription networks. Stuart Kaufman originally proposed the usefulness of the Boolean framework, but much of the dynamical features there are not realizable in a continuous analogue. We introduce the notion of braid-like dynamics as a bridge between Boolean and continuous dynamics and study its importance in the local dynamics of ring and ring-like networks. We discuss a near-theorem on the global dynamics of general feedback networks, and in the nal chapter study the main ideas of this thesis in models of a yeast cell transcription network.

Duke Authors

Cited Authors

  • Michael Jenista,

Published Date

  • 2012

Published In

  • Siam Journal of Applied Dynamical Systems

Start / End Page

  • 12 -