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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 07 > No. 4

 
   

AND-NOT logic framework for steady state analysis of Boolean network models

PP: 1263-1274
Author(s)
Alan Veliz-Cuba, Kristina Buschur, Rose Hamershock, Ariel Kniss, Esther Wolff, Reinhard Laubenbacher,
Abstract
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.

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