In this paper we propose the class of AND-NOT networks for modeling biological systems and show that it provides several advantages. Some of the advantages include: Any finite dynamical system can be written as an AND-NOT network with similar dynamical properties. There is a one-to-one correspondence between AND-NOT networks, their wiring diagrams, and their dynamics. Results about AND-NOT networks can be stated at the wiring diagram level without losing any information. Results about AND-NOT networks are applicable to any Boolean network. We apply our results to a Boolean model of Th-cell differentiation.
Veliz-Cuba, Alan; Buschur, Kristina; Hamershock, Rose; Kniss, Ariel; Wolff, Esther; and Laubenbacher, Reinhard
"AND-NOT logic framework for steady state analysis of Boolean network models,"
Applied Mathematics & Information Sciences: Vol. 07
, Article 1.
Available at: https://dc.naturalspublishing.com/amis/vol07/iss4/1